https://erdosproblems.ai/ https://erdosproblems.ai/problems https://erdosproblems.ai/wiki https://erdosproblems.ai/problems/1 https://erdosproblems.ai/problems/2 https://erdosproblems.ai/problems/3 https://erdosproblems.ai/problems/4 https://erdosproblems.ai/problems/5 https://erdosproblems.ai/problems/6 https://erdosproblems.ai/problems/7 https://erdosproblems.ai/problems/8 https://erdosproblems.ai/problems/9 https://erdosproblems.ai/problems/10 https://erdosproblems.ai/problems/11 https://erdosproblems.ai/problems/12 https://erdosproblems.ai/problems/13 https://erdosproblems.ai/problems/14 https://erdosproblems.ai/problems/15 https://erdosproblems.ai/problems/16 https://erdosproblems.ai/problems/17 https://erdosproblems.ai/problems/18 https://erdosproblems.ai/problems/19 https://erdosproblems.ai/problems/20 https://erdosproblems.ai/problems/21 https://erdosproblems.ai/problems/22 https://erdosproblems.ai/problems/23 https://erdosproblems.ai/problems/24 https://erdosproblems.ai/problems/25 https://erdosproblems.ai/problems/26 https://erdosproblems.ai/problems/27 https://erdosproblems.ai/problems/28 https://erdosproblems.ai/problems/29 https://erdosproblems.ai/problems/30 https://erdosproblems.ai/problems/31 https://erdosproblems.ai/problems/32 https://erdosproblems.ai/problems/33 https://erdosproblems.ai/problems/34 https://erdosproblems.ai/problems/35 https://erdosproblems.ai/problems/36 https://erdosproblems.ai/problems/37 https://erdosproblems.ai/problems/38 https://erdosproblems.ai/problems/39 https://erdosproblems.ai/problems/40 https://erdosproblems.ai/problems/41 https://erdosproblems.ai/problems/42 https://erdosproblems.ai/problems/43 https://erdosproblems.ai/problems/44 https://erdosproblems.ai/problems/45 https://erdosproblems.ai/problems/46 https://erdosproblems.ai/problems/47 https://erdosproblems.ai/problems/48 https://erdosproblems.ai/problems/49 https://erdosproblems.ai/problems/50 https://erdosproblems.ai/problems/51 https://erdosproblems.ai/problems/52 https://erdosproblems.ai/problems/53 https://erdosproblems.ai/problems/54 https://erdosproblems.ai/problems/55 https://erdosproblems.ai/problems/56 https://erdosproblems.ai/problems/57 https://erdosproblems.ai/problems/58 https://erdosproblems.ai/problems/59 https://erdosproblems.ai/problems/60 https://erdosproblems.ai/problems/61 https://erdosproblems.ai/problems/62 https://erdosproblems.ai/problems/63 https://erdosproblems.ai/problems/64 https://erdosproblems.ai/problems/65 https://erdosproblems.ai/problems/66 https://erdosproblems.ai/problems/67 https://erdosproblems.ai/problems/68 https://erdosproblems.ai/problems/69 https://erdosproblems.ai/problems/70 https://erdosproblems.ai/problems/71 https://erdosproblems.ai/problems/72 https://erdosproblems.ai/problems/73 https://erdosproblems.ai/problems/74 https://erdosproblems.ai/problems/75 https://erdosproblems.ai/problems/76 https://erdosproblems.ai/problems/77 https://erdosproblems.ai/problems/78 https://erdosproblems.ai/problems/79 https://erdosproblems.ai/problems/80 https://erdosproblems.ai/problems/81 https://erdosproblems.ai/problems/82 https://erdosproblems.ai/problems/83 https://erdosproblems.ai/problems/84 https://erdosproblems.ai/problems/85 https://erdosproblems.ai/problems/86 https://erdosproblems.ai/problems/87 https://erdosproblems.ai/problems/88 https://erdosproblems.ai/problems/89 https://erdosproblems.ai/problems/90 https://erdosproblems.ai/problems/91 https://erdosproblems.ai/problems/92 https://erdosproblems.ai/problems/93 https://erdosproblems.ai/problems/94 https://erdosproblems.ai/problems/95 https://erdosproblems.ai/problems/96 https://erdosproblems.ai/problems/97 https://erdosproblems.ai/problems/98 https://erdosproblems.ai/problems/99 https://erdosproblems.ai/problems/100 https://erdosproblems.ai/problems/101 https://erdosproblems.ai/problems/102 https://erdosproblems.ai/problems/103 https://erdosproblems.ai/problems/104 https://erdosproblems.ai/problems/105 https://erdosproblems.ai/problems/106 https://erdosproblems.ai/problems/107 https://erdosproblems.ai/problems/108 https://erdosproblems.ai/problems/109 https://erdosproblems.ai/problems/110 https://erdosproblems.ai/problems/111 https://erdosproblems.ai/problems/112 https://erdosproblems.ai/problems/113 https://erdosproblems.ai/problems/114 https://erdosproblems.ai/problems/115 https://erdosproblems.ai/problems/116 https://erdosproblems.ai/problems/117 https://erdosproblems.ai/problems/118 https://erdosproblems.ai/problems/119 https://erdosproblems.ai/problems/120 https://erdosproblems.ai/problems/121 https://erdosproblems.ai/problems/122 https://erdosproblems.ai/problems/123 https://erdosproblems.ai/problems/124 https://erdosproblems.ai/problems/125 https://erdosproblems.ai/problems/126 https://erdosproblems.ai/problems/127 https://erdosproblems.ai/problems/128 https://erdosproblems.ai/problems/129 https://erdosproblems.ai/problems/130 https://erdosproblems.ai/problems/131 https://erdosproblems.ai/problems/132 https://erdosproblems.ai/problems/133 https://erdosproblems.ai/problems/134 https://erdosproblems.ai/problems/135 https://erdosproblems.ai/problems/136 https://erdosproblems.ai/problems/137 https://erdosproblems.ai/problems/138 https://erdosproblems.ai/problems/139 https://erdosproblems.ai/problems/140 https://erdosproblems.ai/problems/141 https://erdosproblems.ai/problems/142 https://erdosproblems.ai/problems/143 https://erdosproblems.ai/problems/144 https://erdosproblems.ai/problems/145 https://erdosproblems.ai/problems/146 https://erdosproblems.ai/problems/147 https://erdosproblems.ai/problems/148 https://erdosproblems.ai/problems/149 https://erdosproblems.ai/problems/150 https://erdosproblems.ai/problems/151 https://erdosproblems.ai/problems/152 https://erdosproblems.ai/problems/153 https://erdosproblems.ai/problems/154 https://erdosproblems.ai/problems/155 https://erdosproblems.ai/problems/156 https://erdosproblems.ai/problems/157 https://erdosproblems.ai/problems/158 https://erdosproblems.ai/problems/159 https://erdosproblems.ai/problems/160 https://erdosproblems.ai/problems/161 https://erdosproblems.ai/problems/162 https://erdosproblems.ai/problems/163 https://erdosproblems.ai/problems/164 https://erdosproblems.ai/problems/165 https://erdosproblems.ai/problems/166 https://erdosproblems.ai/problems/167 https://erdosproblems.ai/problems/168 https://erdosproblems.ai/problems/169 https://erdosproblems.ai/problems/170 https://erdosproblems.ai/problems/171 https://erdosproblems.ai/problems/172 https://erdosproblems.ai/problems/173 https://erdosproblems.ai/problems/174 https://erdosproblems.ai/problems/175 https://erdosproblems.ai/problems/176 https://erdosproblems.ai/problems/177 https://erdosproblems.ai/problems/178 https://erdosproblems.ai/problems/179 https://erdosproblems.ai/problems/180 https://erdosproblems.ai/problems/181 https://erdosproblems.ai/problems/182 https://erdosproblems.ai/problems/183 https://erdosproblems.ai/problems/184 https://erdosproblems.ai/problems/185 https://erdosproblems.ai/problems/186 https://erdosproblems.ai/problems/187 https://erdosproblems.ai/problems/188 https://erdosproblems.ai/problems/189 https://erdosproblems.ai/problems/190 https://erdosproblems.ai/problems/191 https://erdosproblems.ai/problems/192 https://erdosproblems.ai/problems/193 https://erdosproblems.ai/problems/194 https://erdosproblems.ai/problems/195 https://erdosproblems.ai/problems/196 https://erdosproblems.ai/problems/197 https://erdosproblems.ai/problems/198 https://erdosproblems.ai/problems/199 https://erdosproblems.ai/problems/200 https://erdosproblems.ai/problems/201 https://erdosproblems.ai/problems/202 https://erdosproblems.ai/problems/203 https://erdosproblems.ai/problems/204 https://erdosproblems.ai/problems/205 https://erdosproblems.ai/problems/206 https://erdosproblems.ai/problems/207 https://erdosproblems.ai/problems/208 https://erdosproblems.ai/problems/209 https://erdosproblems.ai/problems/210 https://erdosproblems.ai/problems/211 https://erdosproblems.ai/problems/212 https://erdosproblems.ai/problems/213 https://erdosproblems.ai/problems/214 https://erdosproblems.ai/problems/215 https://erdosproblems.ai/problems/216 https://erdosproblems.ai/problems/217 https://erdosproblems.ai/problems/218 https://erdosproblems.ai/problems/219 https://erdosproblems.ai/problems/220 https://erdosproblems.ai/problems/221 https://erdosproblems.ai/problems/222 https://erdosproblems.ai/problems/223 https://erdosproblems.ai/problems/224 https://erdosproblems.ai/problems/225 https://erdosproblems.ai/problems/226 https://erdosproblems.ai/problems/227 https://erdosproblems.ai/problems/228 https://erdosproblems.ai/problems/229 https://erdosproblems.ai/problems/230 https://erdosproblems.ai/problems/231 https://erdosproblems.ai/problems/232 https://erdosproblems.ai/problems/233 https://erdosproblems.ai/problems/234 https://erdosproblems.ai/problems/235 https://erdosproblems.ai/problems/236 https://erdosproblems.ai/problems/237 https://erdosproblems.ai/problems/238 https://erdosproblems.ai/problems/239 https://erdosproblems.ai/problems/240 https://erdosproblems.ai/problems/241 https://erdosproblems.ai/problems/242 https://erdosproblems.ai/problems/243 https://erdosproblems.ai/problems/244 https://erdosproblems.ai/problems/245 https://erdosproblems.ai/problems/246 https://erdosproblems.ai/problems/247 https://erdosproblems.ai/problems/248 https://erdosproblems.ai/problems/249 https://erdosproblems.ai/problems/250 https://erdosproblems.ai/problems/251 https://erdosproblems.ai/problems/252 https://erdosproblems.ai/problems/253 https://erdosproblems.ai/problems/254 https://erdosproblems.ai/problems/255 https://erdosproblems.ai/problems/256 https://erdosproblems.ai/problems/257 https://erdosproblems.ai/problems/258 https://erdosproblems.ai/problems/259 https://erdosproblems.ai/problems/260 https://erdosproblems.ai/problems/261 https://erdosproblems.ai/problems/262 https://erdosproblems.ai/problems/263 https://erdosproblems.ai/problems/264 https://erdosproblems.ai/problems/265 https://erdosproblems.ai/problems/266 https://erdosproblems.ai/problems/267 https://erdosproblems.ai/problems/268 https://erdosproblems.ai/problems/269 https://erdosproblems.ai/problems/270 https://erdosproblems.ai/problems/271 https://erdosproblems.ai/problems/272 https://erdosproblems.ai/problems/273 https://erdosproblems.ai/problems/274 https://erdosproblems.ai/problems/275 https://erdosproblems.ai/problems/276 https://erdosproblems.ai/problems/277 https://erdosproblems.ai/problems/278 https://erdosproblems.ai/problems/279 https://erdosproblems.ai/problems/280 https://erdosproblems.ai/problems/281 https://erdosproblems.ai/problems/282 https://erdosproblems.ai/problems/283 https://erdosproblems.ai/problems/284 https://erdosproblems.ai/problems/285 https://erdosproblems.ai/problems/286 https://erdosproblems.ai/problems/287 https://erdosproblems.ai/problems/288 https://erdosproblems.ai/problems/289 https://erdosproblems.ai/problems/290 https://erdosproblems.ai/problems/291 https://erdosproblems.ai/problems/292 https://erdosproblems.ai/problems/293 https://erdosproblems.ai/problems/294 https://erdosproblems.ai/problems/295 https://erdosproblems.ai/problems/296 https://erdosproblems.ai/problems/297 https://erdosproblems.ai/problems/298 https://erdosproblems.ai/problems/299 https://erdosproblems.ai/problems/300 https://erdosproblems.ai/problems/301 https://erdosproblems.ai/problems/302 https://erdosproblems.ai/problems/303 https://erdosproblems.ai/problems/304 https://erdosproblems.ai/problems/305 https://erdosproblems.ai/problems/306 https://erdosproblems.ai/problems/307 https://erdosproblems.ai/problems/308 https://erdosproblems.ai/problems/309 https://erdosproblems.ai/problems/310 https://erdosproblems.ai/problems/311 https://erdosproblems.ai/problems/312 https://erdosproblems.ai/problems/313 https://erdosproblems.ai/problems/314 https://erdosproblems.ai/problems/315 https://erdosproblems.ai/problems/316 https://erdosproblems.ai/problems/317 https://erdosproblems.ai/problems/318 https://erdosproblems.ai/problems/319 https://erdosproblems.ai/problems/320 https://erdosproblems.ai/problems/321 https://erdosproblems.ai/problems/322 https://erdosproblems.ai/problems/323 https://erdosproblems.ai/problems/324 https://erdosproblems.ai/problems/325 https://erdosproblems.ai/problems/326 https://erdosproblems.ai/problems/327 https://erdosproblems.ai/problems/328 https://erdosproblems.ai/problems/329 https://erdosproblems.ai/problems/330 https://erdosproblems.ai/problems/331 https://erdosproblems.ai/problems/332 https://erdosproblems.ai/problems/333 https://erdosproblems.ai/problems/334 https://erdosproblems.ai/problems/335 https://erdosproblems.ai/problems/336 https://erdosproblems.ai/problems/337 https://erdosproblems.ai/problems/338 https://erdosproblems.ai/problems/339 https://erdosproblems.ai/problems/340 https://erdosproblems.ai/problems/341 https://erdosproblems.ai/problems/342 https://erdosproblems.ai/problems/343 https://erdosproblems.ai/problems/344 https://erdosproblems.ai/problems/345 https://erdosproblems.ai/problems/346 https://erdosproblems.ai/problems/347 https://erdosproblems.ai/problems/348 https://erdosproblems.ai/problems/349 https://erdosproblems.ai/problems/350 https://erdosproblems.ai/problems/351 https://erdosproblems.ai/problems/352 https://erdosproblems.ai/problems/353 https://erdosproblems.ai/problems/354 https://erdosproblems.ai/problems/355 https://erdosproblems.ai/problems/356 https://erdosproblems.ai/problems/357 https://erdosproblems.ai/problems/358 https://erdosproblems.ai/problems/359 https://erdosproblems.ai/problems/360 https://erdosproblems.ai/problems/361 https://erdosproblems.ai/problems/362 https://erdosproblems.ai/problems/363 https://erdosproblems.ai/problems/364 https://erdosproblems.ai/problems/365 https://erdosproblems.ai/problems/366 https://erdosproblems.ai/problems/367 https://erdosproblems.ai/problems/368 https://erdosproblems.ai/problems/369 https://erdosproblems.ai/problems/370 https://erdosproblems.ai/problems/371 https://erdosproblems.ai/problems/372 https://erdosproblems.ai/problems/373 https://erdosproblems.ai/problems/374 https://erdosproblems.ai/problems/375 https://erdosproblems.ai/problems/376 https://erdosproblems.ai/problems/377 https://erdosproblems.ai/problems/378 https://erdosproblems.ai/problems/379 https://erdosproblems.ai/problems/380 https://erdosproblems.ai/problems/381 https://erdosproblems.ai/problems/382 https://erdosproblems.ai/problems/383 https://erdosproblems.ai/problems/384 https://erdosproblems.ai/problems/385 https://erdosproblems.ai/problems/386 https://erdosproblems.ai/problems/387 https://erdosproblems.ai/problems/388 https://erdosproblems.ai/problems/389 https://erdosproblems.ai/problems/390 https://erdosproblems.ai/problems/391 https://erdosproblems.ai/problems/392 https://erdosproblems.ai/problems/393 https://erdosproblems.ai/problems/394 https://erdosproblems.ai/problems/395 https://erdosproblems.ai/problems/396 https://erdosproblems.ai/problems/397 https://erdosproblems.ai/problems/398 https://erdosproblems.ai/problems/399 https://erdosproblems.ai/problems/400 https://erdosproblems.ai/problems/401 https://erdosproblems.ai/problems/402 https://erdosproblems.ai/problems/403 https://erdosproblems.ai/problems/404 https://erdosproblems.ai/problems/405 https://erdosproblems.ai/problems/406 https://erdosproblems.ai/problems/407 https://erdosproblems.ai/problems/408 https://erdosproblems.ai/problems/409 https://erdosproblems.ai/problems/410 https://erdosproblems.ai/problems/411 https://erdosproblems.ai/problems/412 https://erdosproblems.ai/problems/413 https://erdosproblems.ai/problems/414 https://erdosproblems.ai/problems/415 https://erdosproblems.ai/problems/416 https://erdosproblems.ai/problems/417 https://erdosproblems.ai/problems/418 https://erdosproblems.ai/problems/419 https://erdosproblems.ai/problems/420 https://erdosproblems.ai/problems/421 https://erdosproblems.ai/problems/422 https://erdosproblems.ai/problems/423 https://erdosproblems.ai/problems/424 https://erdosproblems.ai/problems/425 https://erdosproblems.ai/problems/426 https://erdosproblems.ai/problems/427 https://erdosproblems.ai/problems/428 https://erdosproblems.ai/problems/429 https://erdosproblems.ai/problems/430 https://erdosproblems.ai/problems/431 https://erdosproblems.ai/problems/432 https://erdosproblems.ai/problems/433 https://erdosproblems.ai/problems/434 https://erdosproblems.ai/problems/435 https://erdosproblems.ai/problems/436 https://erdosproblems.ai/problems/437 https://erdosproblems.ai/problems/438 https://erdosproblems.ai/problems/439 https://erdosproblems.ai/problems/440 https://erdosproblems.ai/problems/441 https://erdosproblems.ai/problems/442 https://erdosproblems.ai/problems/443 https://erdosproblems.ai/problems/444 https://erdosproblems.ai/problems/445 https://erdosproblems.ai/problems/446 https://erdosproblems.ai/problems/447 https://erdosproblems.ai/problems/448 https://erdosproblems.ai/problems/449 https://erdosproblems.ai/problems/450 https://erdosproblems.ai/problems/451 https://erdosproblems.ai/problems/452 https://erdosproblems.ai/problems/453 https://erdosproblems.ai/problems/454 https://erdosproblems.ai/problems/455 https://erdosproblems.ai/problems/456 https://erdosproblems.ai/problems/457 https://erdosproblems.ai/problems/458 https://erdosproblems.ai/problems/459 https://erdosproblems.ai/problems/460 https://erdosproblems.ai/problems/461 https://erdosproblems.ai/problems/462 https://erdosproblems.ai/problems/463 https://erdosproblems.ai/problems/464 https://erdosproblems.ai/problems/465 https://erdosproblems.ai/problems/466 https://erdosproblems.ai/problems/467 https://erdosproblems.ai/problems/468 https://erdosproblems.ai/problems/469 https://erdosproblems.ai/problems/470 https://erdosproblems.ai/problems/471 https://erdosproblems.ai/problems/472 https://erdosproblems.ai/problems/473 https://erdosproblems.ai/problems/474 https://erdosproblems.ai/problems/475 https://erdosproblems.ai/problems/476 https://erdosproblems.ai/problems/477 https://erdosproblems.ai/problems/478 https://erdosproblems.ai/problems/479 https://erdosproblems.ai/problems/480 https://erdosproblems.ai/problems/481 https://erdosproblems.ai/problems/482 https://erdosproblems.ai/problems/483 https://erdosproblems.ai/problems/484 https://erdosproblems.ai/problems/485 https://erdosproblems.ai/problems/486 https://erdosproblems.ai/problems/487 https://erdosproblems.ai/problems/488 https://erdosproblems.ai/problems/489 https://erdosproblems.ai/problems/490 https://erdosproblems.ai/problems/491 https://erdosproblems.ai/problems/492 https://erdosproblems.ai/problems/493 https://erdosproblems.ai/problems/494 https://erdosproblems.ai/problems/495 https://erdosproblems.ai/problems/496 https://erdosproblems.ai/problems/497 https://erdosproblems.ai/problems/498 https://erdosproblems.ai/problems/499 https://erdosproblems.ai/problems/500 https://erdosproblems.ai/problems/501 https://erdosproblems.ai/problems/502 https://erdosproblems.ai/problems/503 https://erdosproblems.ai/problems/504 https://erdosproblems.ai/problems/505 https://erdosproblems.ai/problems/506 https://erdosproblems.ai/problems/507 https://erdosproblems.ai/problems/508 https://erdosproblems.ai/problems/509 https://erdosproblems.ai/problems/510 https://erdosproblems.ai/problems/511 https://erdosproblems.ai/problems/512 https://erdosproblems.ai/problems/513 https://erdosproblems.ai/problems/514 https://erdosproblems.ai/problems/515 https://erdosproblems.ai/problems/516 https://erdosproblems.ai/problems/517 https://erdosproblems.ai/problems/518 https://erdosproblems.ai/problems/519 https://erdosproblems.ai/problems/520 https://erdosproblems.ai/problems/521 https://erdosproblems.ai/problems/522 https://erdosproblems.ai/problems/523 https://erdosproblems.ai/problems/524 https://erdosproblems.ai/problems/525 https://erdosproblems.ai/problems/526 https://erdosproblems.ai/problems/527 https://erdosproblems.ai/problems/528 https://erdosproblems.ai/problems/529 https://erdosproblems.ai/problems/530 https://erdosproblems.ai/problems/531 https://erdosproblems.ai/problems/532 https://erdosproblems.ai/problems/533 https://erdosproblems.ai/problems/534 https://erdosproblems.ai/problems/535 https://erdosproblems.ai/problems/536 https://erdosproblems.ai/problems/537 https://erdosproblems.ai/problems/538 https://erdosproblems.ai/problems/539 https://erdosproblems.ai/problems/540 https://erdosproblems.ai/problems/541 https://erdosproblems.ai/problems/542 https://erdosproblems.ai/problems/543 https://erdosproblems.ai/problems/544 https://erdosproblems.ai/problems/545 https://erdosproblems.ai/problems/546 https://erdosproblems.ai/problems/547 https://erdosproblems.ai/problems/548 https://erdosproblems.ai/problems/549 https://erdosproblems.ai/problems/550 https://erdosproblems.ai/problems/551 https://erdosproblems.ai/problems/552 https://erdosproblems.ai/problems/553 https://erdosproblems.ai/problems/554 https://erdosproblems.ai/problems/555 https://erdosproblems.ai/problems/556 https://erdosproblems.ai/problems/557 https://erdosproblems.ai/problems/558 https://erdosproblems.ai/problems/559 https://erdosproblems.ai/problems/560 https://erdosproblems.ai/problems/561 https://erdosproblems.ai/problems/562 https://erdosproblems.ai/problems/563 https://erdosproblems.ai/problems/564 https://erdosproblems.ai/problems/565 https://erdosproblems.ai/problems/566 https://erdosproblems.ai/problems/567 https://erdosproblems.ai/problems/568 https://erdosproblems.ai/problems/569 https://erdosproblems.ai/problems/570 https://erdosproblems.ai/problems/571 https://erdosproblems.ai/problems/572 https://erdosproblems.ai/problems/573 https://erdosproblems.ai/problems/574 https://erdosproblems.ai/problems/575 https://erdosproblems.ai/problems/576 https://erdosproblems.ai/problems/577 https://erdosproblems.ai/problems/578 https://erdosproblems.ai/problems/579 https://erdosproblems.ai/problems/580 https://erdosproblems.ai/problems/581 https://erdosproblems.ai/problems/582 https://erdosproblems.ai/problems/583 https://erdosproblems.ai/problems/584 https://erdosproblems.ai/problems/585 https://erdosproblems.ai/problems/586 https://erdosproblems.ai/problems/587 https://erdosproblems.ai/problems/588 https://erdosproblems.ai/problems/589 https://erdosproblems.ai/problems/590 https://erdosproblems.ai/problems/591 https://erdosproblems.ai/problems/592 https://erdosproblems.ai/problems/593 https://erdosproblems.ai/problems/594 https://erdosproblems.ai/problems/595 https://erdosproblems.ai/problems/596 https://erdosproblems.ai/problems/597 https://erdosproblems.ai/problems/598 https://erdosproblems.ai/problems/599 https://erdosproblems.ai/problems/600 https://erdosproblems.ai/problems/601 https://erdosproblems.ai/problems/602 https://erdosproblems.ai/problems/603 https://erdosproblems.ai/problems/604 https://erdosproblems.ai/problems/605 https://erdosproblems.ai/problems/606 https://erdosproblems.ai/problems/607 https://erdosproblems.ai/problems/608 https://erdosproblems.ai/problems/609 https://erdosproblems.ai/problems/610 https://erdosproblems.ai/problems/611 https://erdosproblems.ai/problems/612 https://erdosproblems.ai/problems/613 https://erdosproblems.ai/problems/614 https://erdosproblems.ai/problems/615 https://erdosproblems.ai/problems/616 https://erdosproblems.ai/problems/617 https://erdosproblems.ai/problems/618 https://erdosproblems.ai/problems/619 https://erdosproblems.ai/problems/620 https://erdosproblems.ai/problems/621 https://erdosproblems.ai/problems/622 https://erdosproblems.ai/problems/623 https://erdosproblems.ai/problems/624 https://erdosproblems.ai/problems/625 https://erdosproblems.ai/problems/626 https://erdosproblems.ai/problems/627 https://erdosproblems.ai/problems/628 https://erdosproblems.ai/problems/629 https://erdosproblems.ai/problems/630 https://erdosproblems.ai/problems/631 https://erdosproblems.ai/problems/632 https://erdosproblems.ai/problems/633 https://erdosproblems.ai/problems/634 https://erdosproblems.ai/problems/635 https://erdosproblems.ai/problems/636 https://erdosproblems.ai/problems/637 https://erdosproblems.ai/problems/638 https://erdosproblems.ai/problems/639 https://erdosproblems.ai/problems/640 https://erdosproblems.ai/problems/641 https://erdosproblems.ai/problems/642 https://erdosproblems.ai/problems/643 https://erdosproblems.ai/problems/644 https://erdosproblems.ai/problems/645 https://erdosproblems.ai/problems/646 https://erdosproblems.ai/problems/647 https://erdosproblems.ai/problems/648 https://erdosproblems.ai/problems/649 https://erdosproblems.ai/problems/650 https://erdosproblems.ai/problems/651 https://erdosproblems.ai/problems/652 https://erdosproblems.ai/problems/653 https://erdosproblems.ai/problems/654 https://erdosproblems.ai/problems/655 https://erdosproblems.ai/problems/656 https://erdosproblems.ai/problems/657 https://erdosproblems.ai/problems/658 https://erdosproblems.ai/problems/659 https://erdosproblems.ai/problems/660 https://erdosproblems.ai/problems/661 https://erdosproblems.ai/problems/662 https://erdosproblems.ai/problems/663 https://erdosproblems.ai/problems/664 https://erdosproblems.ai/problems/665 https://erdosproblems.ai/problems/666 https://erdosproblems.ai/problems/667 https://erdosproblems.ai/problems/668 https://erdosproblems.ai/problems/669 https://erdosproblems.ai/problems/670 https://erdosproblems.ai/problems/671 https://erdosproblems.ai/problems/672 https://erdosproblems.ai/problems/673 https://erdosproblems.ai/problems/674 https://erdosproblems.ai/problems/675 https://erdosproblems.ai/problems/676 https://erdosproblems.ai/problems/677 https://erdosproblems.ai/problems/678 https://erdosproblems.ai/problems/679 https://erdosproblems.ai/problems/680 https://erdosproblems.ai/problems/681 https://erdosproblems.ai/problems/682 https://erdosproblems.ai/problems/683 https://erdosproblems.ai/problems/684 https://erdosproblems.ai/problems/685 https://erdosproblems.ai/problems/686 https://erdosproblems.ai/problems/687 https://erdosproblems.ai/problems/688 https://erdosproblems.ai/problems/689 https://erdosproblems.ai/problems/690 https://erdosproblems.ai/problems/691 https://erdosproblems.ai/problems/692 https://erdosproblems.ai/problems/693 https://erdosproblems.ai/problems/694 https://erdosproblems.ai/problems/695 https://erdosproblems.ai/problems/696 https://erdosproblems.ai/problems/697 https://erdosproblems.ai/problems/698 https://erdosproblems.ai/problems/699 https://erdosproblems.ai/problems/700 https://erdosproblems.ai/problems/701 https://erdosproblems.ai/problems/702 https://erdosproblems.ai/problems/703 https://erdosproblems.ai/problems/704 https://erdosproblems.ai/problems/705 https://erdosproblems.ai/problems/706 https://erdosproblems.ai/problems/707 https://erdosproblems.ai/problems/708 https://erdosproblems.ai/problems/709 https://erdosproblems.ai/problems/710 https://erdosproblems.ai/problems/711 https://erdosproblems.ai/problems/712 https://erdosproblems.ai/problems/713 https://erdosproblems.ai/problems/714 https://erdosproblems.ai/problems/715 https://erdosproblems.ai/problems/716 https://erdosproblems.ai/problems/717 https://erdosproblems.ai/problems/718 https://erdosproblems.ai/problems/719 https://erdosproblems.ai/problems/720 https://erdosproblems.ai/problems/721 https://erdosproblems.ai/problems/722 https://erdosproblems.ai/problems/723 https://erdosproblems.ai/problems/724 https://erdosproblems.ai/problems/725 https://erdosproblems.ai/problems/726 https://erdosproblems.ai/problems/727 https://erdosproblems.ai/problems/728 https://erdosproblems.ai/problems/729 https://erdosproblems.ai/problems/730 https://erdosproblems.ai/problems/731 https://erdosproblems.ai/problems/732 https://erdosproblems.ai/problems/733 https://erdosproblems.ai/problems/734 https://erdosproblems.ai/problems/735 https://erdosproblems.ai/problems/736 https://erdosproblems.ai/problems/737 https://erdosproblems.ai/problems/738 https://erdosproblems.ai/problems/739 https://erdosproblems.ai/problems/740 https://erdosproblems.ai/problems/741 https://erdosproblems.ai/problems/742 https://erdosproblems.ai/problems/743 https://erdosproblems.ai/problems/744 https://erdosproblems.ai/problems/745 https://erdosproblems.ai/problems/746 https://erdosproblems.ai/problems/747 https://erdosproblems.ai/problems/748 https://erdosproblems.ai/problems/749 https://erdosproblems.ai/problems/750 https://erdosproblems.ai/problems/751 https://erdosproblems.ai/problems/752 https://erdosproblems.ai/problems/753 https://erdosproblems.ai/problems/754 https://erdosproblems.ai/problems/755 https://erdosproblems.ai/problems/756 https://erdosproblems.ai/problems/757 https://erdosproblems.ai/problems/758 https://erdosproblems.ai/problems/759 https://erdosproblems.ai/problems/760 https://erdosproblems.ai/problems/761 https://erdosproblems.ai/problems/762 https://erdosproblems.ai/problems/763 https://erdosproblems.ai/problems/764 https://erdosproblems.ai/problems/765 https://erdosproblems.ai/problems/766 https://erdosproblems.ai/problems/767 https://erdosproblems.ai/problems/768 https://erdosproblems.ai/problems/769 https://erdosproblems.ai/problems/770 https://erdosproblems.ai/problems/771 https://erdosproblems.ai/problems/772 https://erdosproblems.ai/problems/773 https://erdosproblems.ai/problems/774 https://erdosproblems.ai/problems/775 https://erdosproblems.ai/problems/776 https://erdosproblems.ai/problems/777 https://erdosproblems.ai/problems/778 https://erdosproblems.ai/problems/779 https://erdosproblems.ai/problems/780 https://erdosproblems.ai/problems/781 https://erdosproblems.ai/problems/782 https://erdosproblems.ai/problems/783 https://erdosproblems.ai/problems/784 https://erdosproblems.ai/problems/785 https://erdosproblems.ai/problems/786 https://erdosproblems.ai/problems/787 https://erdosproblems.ai/problems/788 https://erdosproblems.ai/problems/789 https://erdosproblems.ai/problems/790 https://erdosproblems.ai/problems/791 https://erdosproblems.ai/problems/792 https://erdosproblems.ai/problems/793 https://erdosproblems.ai/problems/794 https://erdosproblems.ai/problems/795 https://erdosproblems.ai/problems/796 https://erdosproblems.ai/problems/797 https://erdosproblems.ai/problems/798 https://erdosproblems.ai/problems/799 https://erdosproblems.ai/problems/800 https://erdosproblems.ai/problems/801 https://erdosproblems.ai/problems/802 https://erdosproblems.ai/problems/803 https://erdosproblems.ai/problems/804 https://erdosproblems.ai/problems/805 https://erdosproblems.ai/problems/806 https://erdosproblems.ai/problems/807 https://erdosproblems.ai/problems/808 https://erdosproblems.ai/problems/809 https://erdosproblems.ai/problems/810 https://erdosproblems.ai/problems/811 https://erdosproblems.ai/problems/812 https://erdosproblems.ai/problems/813 https://erdosproblems.ai/problems/814 https://erdosproblems.ai/problems/815 https://erdosproblems.ai/problems/816 https://erdosproblems.ai/problems/817 https://erdosproblems.ai/problems/818 https://erdosproblems.ai/problems/819 https://erdosproblems.ai/problems/820 https://erdosproblems.ai/problems/821 https://erdosproblems.ai/problems/822 https://erdosproblems.ai/problems/823 https://erdosproblems.ai/problems/824 https://erdosproblems.ai/problems/825 https://erdosproblems.ai/problems/826 https://erdosproblems.ai/problems/827 https://erdosproblems.ai/problems/828 https://erdosproblems.ai/problems/829 https://erdosproblems.ai/problems/830 https://erdosproblems.ai/problems/831 https://erdosproblems.ai/problems/832 https://erdosproblems.ai/problems/833 https://erdosproblems.ai/problems/834 https://erdosproblems.ai/problems/835 https://erdosproblems.ai/problems/836 https://erdosproblems.ai/problems/837 https://erdosproblems.ai/problems/838 https://erdosproblems.ai/problems/839 https://erdosproblems.ai/problems/840 https://erdosproblems.ai/problems/841 https://erdosproblems.ai/problems/842 https://erdosproblems.ai/problems/843 https://erdosproblems.ai/problems/844 https://erdosproblems.ai/problems/845 https://erdosproblems.ai/problems/846 https://erdosproblems.ai/problems/847 https://erdosproblems.ai/problems/848 https://erdosproblems.ai/problems/849 https://erdosproblems.ai/problems/850 https://erdosproblems.ai/problems/851 https://erdosproblems.ai/problems/852 https://erdosproblems.ai/problems/853 https://erdosproblems.ai/problems/854 https://erdosproblems.ai/problems/855 https://erdosproblems.ai/problems/856 https://erdosproblems.ai/problems/857 https://erdosproblems.ai/problems/858 https://erdosproblems.ai/problems/859 https://erdosproblems.ai/problems/860 https://erdosproblems.ai/problems/861 https://erdosproblems.ai/problems/862 https://erdosproblems.ai/problems/863 https://erdosproblems.ai/problems/864 https://erdosproblems.ai/problems/865 https://erdosproblems.ai/problems/866 https://erdosproblems.ai/problems/867 https://erdosproblems.ai/problems/868 https://erdosproblems.ai/problems/869 https://erdosproblems.ai/problems/870 https://erdosproblems.ai/problems/871 https://erdosproblems.ai/problems/872 https://erdosproblems.ai/problems/873 https://erdosproblems.ai/problems/874 https://erdosproblems.ai/problems/875 https://erdosproblems.ai/problems/876 https://erdosproblems.ai/problems/877 https://erdosproblems.ai/problems/878 https://erdosproblems.ai/problems/879 https://erdosproblems.ai/problems/880 https://erdosproblems.ai/problems/881 https://erdosproblems.ai/problems/882 https://erdosproblems.ai/problems/883 https://erdosproblems.ai/problems/884 https://erdosproblems.ai/problems/885 https://erdosproblems.ai/problems/886 https://erdosproblems.ai/problems/887 https://erdosproblems.ai/problems/888 https://erdosproblems.ai/problems/889 https://erdosproblems.ai/problems/890 https://erdosproblems.ai/problems/891 https://erdosproblems.ai/problems/892 https://erdosproblems.ai/problems/893 https://erdosproblems.ai/problems/894 https://erdosproblems.ai/problems/895 https://erdosproblems.ai/problems/896 https://erdosproblems.ai/problems/897 https://erdosproblems.ai/problems/898 https://erdosproblems.ai/problems/899 https://erdosproblems.ai/problems/900 https://erdosproblems.ai/problems/901 https://erdosproblems.ai/problems/902 https://erdosproblems.ai/problems/903 https://erdosproblems.ai/problems/904 https://erdosproblems.ai/problems/905 https://erdosproblems.ai/problems/906 https://erdosproblems.ai/problems/907 https://erdosproblems.ai/problems/908 https://erdosproblems.ai/problems/909 https://erdosproblems.ai/problems/910 https://erdosproblems.ai/problems/911 https://erdosproblems.ai/problems/912 https://erdosproblems.ai/problems/913 https://erdosproblems.ai/problems/914 https://erdosproblems.ai/problems/915 https://erdosproblems.ai/problems/916 https://erdosproblems.ai/problems/917 https://erdosproblems.ai/problems/918 https://erdosproblems.ai/problems/919 https://erdosproblems.ai/problems/920 https://erdosproblems.ai/problems/921 https://erdosproblems.ai/problems/922 https://erdosproblems.ai/problems/923 https://erdosproblems.ai/problems/924 https://erdosproblems.ai/problems/925 https://erdosproblems.ai/problems/926 https://erdosproblems.ai/problems/927 https://erdosproblems.ai/problems/928 https://erdosproblems.ai/problems/929 https://erdosproblems.ai/problems/930 https://erdosproblems.ai/problems/931 https://erdosproblems.ai/problems/932 https://erdosproblems.ai/problems/933 https://erdosproblems.ai/problems/934 https://erdosproblems.ai/problems/935 https://erdosproblems.ai/problems/936 https://erdosproblems.ai/problems/937 https://erdosproblems.ai/problems/938 https://erdosproblems.ai/problems/939 https://erdosproblems.ai/problems/940 https://erdosproblems.ai/problems/941 https://erdosproblems.ai/problems/942 https://erdosproblems.ai/problems/943 https://erdosproblems.ai/problems/944 https://erdosproblems.ai/problems/945 https://erdosproblems.ai/problems/946 https://erdosproblems.ai/problems/947 https://erdosproblems.ai/problems/948 https://erdosproblems.ai/problems/949 https://erdosproblems.ai/problems/950 https://erdosproblems.ai/problems/951 https://erdosproblems.ai/problems/952 https://erdosproblems.ai/problems/953 https://erdosproblems.ai/problems/954 https://erdosproblems.ai/problems/955 https://erdosproblems.ai/problems/956 https://erdosproblems.ai/problems/957 https://erdosproblems.ai/problems/958 https://erdosproblems.ai/problems/959 https://erdosproblems.ai/problems/960 https://erdosproblems.ai/problems/961 https://erdosproblems.ai/problems/962 https://erdosproblems.ai/problems/963 https://erdosproblems.ai/problems/964 https://erdosproblems.ai/problems/965 https://erdosproblems.ai/problems/966 https://erdosproblems.ai/problems/967 https://erdosproblems.ai/problems/968 https://erdosproblems.ai/problems/969 https://erdosproblems.ai/problems/970 https://erdosproblems.ai/problems/971 https://erdosproblems.ai/problems/972 https://erdosproblems.ai/problems/973 https://erdosproblems.ai/problems/974 https://erdosproblems.ai/problems/975 https://erdosproblems.ai/problems/976 https://erdosproblems.ai/problems/977 https://erdosproblems.ai/problems/978 https://erdosproblems.ai/problems/979 https://erdosproblems.ai/problems/980 https://erdosproblems.ai/problems/981 https://erdosproblems.ai/problems/982 https://erdosproblems.ai/problems/983 https://erdosproblems.ai/problems/984 https://erdosproblems.ai/problems/985 https://erdosproblems.ai/problems/986 https://erdosproblems.ai/problems/987 https://erdosproblems.ai/problems/988 https://erdosproblems.ai/problems/989 https://erdosproblems.ai/problems/990 https://erdosproblems.ai/problems/991 https://erdosproblems.ai/problems/992 https://erdosproblems.ai/problems/993 https://erdosproblems.ai/problems/994 https://erdosproblems.ai/problems/995 https://erdosproblems.ai/problems/996 https://erdosproblems.ai/problems/997 https://erdosproblems.ai/problems/998 https://erdosproblems.ai/problems/999 https://erdosproblems.ai/problems/1000 https://erdosproblems.ai/problems/1001 https://erdosproblems.ai/problems/1002 https://erdosproblems.ai/problems/1003 https://erdosproblems.ai/problems/1004 https://erdosproblems.ai/problems/1005 https://erdosproblems.ai/problems/1006 https://erdosproblems.ai/problems/1007 https://erdosproblems.ai/problems/1008 https://erdosproblems.ai/problems/1009 https://erdosproblems.ai/problems/1010 https://erdosproblems.ai/problems/1011 https://erdosproblems.ai/problems/1012 https://erdosproblems.ai/problems/1013 https://erdosproblems.ai/problems/1014 https://erdosproblems.ai/problems/1015 https://erdosproblems.ai/problems/1016 https://erdosproblems.ai/problems/1017 https://erdosproblems.ai/problems/1018 https://erdosproblems.ai/problems/1019 https://erdosproblems.ai/problems/1020 https://erdosproblems.ai/problems/1021 https://erdosproblems.ai/problems/1022 https://erdosproblems.ai/problems/1023 https://erdosproblems.ai/problems/1024 https://erdosproblems.ai/problems/1025 https://erdosproblems.ai/problems/1026 https://erdosproblems.ai/problems/1027 https://erdosproblems.ai/problems/1028 https://erdosproblems.ai/problems/1029 https://erdosproblems.ai/problems/1030 https://erdosproblems.ai/problems/1031 https://erdosproblems.ai/problems/1032 https://erdosproblems.ai/problems/1033 https://erdosproblems.ai/problems/1034 https://erdosproblems.ai/problems/1035 https://erdosproblems.ai/problems/1036 https://erdosproblems.ai/problems/1037 https://erdosproblems.ai/problems/1038 https://erdosproblems.ai/problems/1039 https://erdosproblems.ai/problems/1040 https://erdosproblems.ai/problems/1041 https://erdosproblems.ai/problems/1042 https://erdosproblems.ai/problems/1043 https://erdosproblems.ai/problems/1044 https://erdosproblems.ai/problems/1045 https://erdosproblems.ai/problems/1046 https://erdosproblems.ai/problems/1047 https://erdosproblems.ai/problems/1048 https://erdosproblems.ai/problems/1049 https://erdosproblems.ai/problems/1050 https://erdosproblems.ai/problems/1051 https://erdosproblems.ai/problems/1052 https://erdosproblems.ai/problems/1053 https://erdosproblems.ai/problems/1054 https://erdosproblems.ai/problems/1055 https://erdosproblems.ai/problems/1056 https://erdosproblems.ai/problems/1057 https://erdosproblems.ai/problems/1058 https://erdosproblems.ai/problems/1059 https://erdosproblems.ai/problems/1060 https://erdosproblems.ai/problems/1061 https://erdosproblems.ai/problems/1062 https://erdosproblems.ai/problems/1063 https://erdosproblems.ai/problems/1064 https://erdosproblems.ai/problems/1065 https://erdosproblems.ai/problems/1066 https://erdosproblems.ai/problems/1067 https://erdosproblems.ai/problems/1068 https://erdosproblems.ai/problems/1069 https://erdosproblems.ai/problems/1070 https://erdosproblems.ai/problems/1071 https://erdosproblems.ai/problems/1072 https://erdosproblems.ai/problems/1073 https://erdosproblems.ai/problems/1074 https://erdosproblems.ai/problems/1075 https://erdosproblems.ai/problems/1076 https://erdosproblems.ai/problems/1077 https://erdosproblems.ai/problems/1078 https://erdosproblems.ai/problems/1079 https://erdosproblems.ai/problems/1080 https://erdosproblems.ai/problems/1081 https://erdosproblems.ai/problems/1082 https://erdosproblems.ai/problems/1083 https://erdosproblems.ai/problems/1084 https://erdosproblems.ai/problems/1085 https://erdosproblems.ai/problems/1086 https://erdosproblems.ai/problems/1087 https://erdosproblems.ai/problems/1088 https://erdosproblems.ai/problems/1089 https://erdosproblems.ai/problems/1090 https://erdosproblems.ai/problems/1091 https://erdosproblems.ai/problems/1092 https://erdosproblems.ai/problems/1093 https://erdosproblems.ai/problems/1094 https://erdosproblems.ai/problems/1095 https://erdosproblems.ai/problems/1096 https://erdosproblems.ai/problems/1097 https://erdosproblems.ai/problems/1098 https://erdosproblems.ai/problems/1099 https://erdosproblems.ai/problems/1100 https://erdosproblems.ai/problems/1101 https://erdosproblems.ai/problems/1102 https://erdosproblems.ai/problems/1103 https://erdosproblems.ai/problems/1104 https://erdosproblems.ai/problems/1105 https://erdosproblems.ai/problems/1106 https://erdosproblems.ai/problems/1107 https://erdosproblems.ai/problems/1108 https://erdosproblems.ai/problems/1109 https://erdosproblems.ai/problems/1110 https://erdosproblems.ai/problems/1111 https://erdosproblems.ai/problems/1112 https://erdosproblems.ai/problems/1113 https://erdosproblems.ai/problems/1114 https://erdosproblems.ai/problems/1115 https://erdosproblems.ai/problems/1116 https://erdosproblems.ai/problems/1117 https://erdosproblems.ai/problems/1118 https://erdosproblems.ai/problems/1119 https://erdosproblems.ai/problems/1120 https://erdosproblems.ai/problems/1121 https://erdosproblems.ai/problems/1122 https://erdosproblems.ai/problems/1123 https://erdosproblems.ai/problems/1124 https://erdosproblems.ai/problems/1125 https://erdosproblems.ai/problems/1126 https://erdosproblems.ai/problems/1127 https://erdosproblems.ai/problems/1128 https://erdosproblems.ai/problems/1129 https://erdosproblems.ai/problems/1130 https://erdosproblems.ai/problems/1131 https://erdosproblems.ai/problems/1132 https://erdosproblems.ai/problems/1133 https://erdosproblems.ai/problems/1134 https://erdosproblems.ai/problems/1135 https://erdosproblems.ai/problems/1136 https://erdosproblems.ai/problems/1137 https://erdosproblems.ai/problems/1138 https://erdosproblems.ai/problems/1139 https://erdosproblems.ai/problems/1140 https://erdosproblems.ai/problems/1141 https://erdosproblems.ai/problems/1142 https://erdosproblems.ai/problems/1143 https://erdosproblems.ai/problems/1144 https://erdosproblems.ai/problems/1145 https://erdosproblems.ai/problems/1146 https://erdosproblems.ai/problems/1147 https://erdosproblems.ai/problems/1148 https://erdosproblems.ai/problems/1149 https://erdosproblems.ai/problems/1150 https://erdosproblems.ai/problems/1151 https://erdosproblems.ai/problems/1152 https://erdosproblems.ai/problems/1153 https://erdosproblems.ai/problems/1154 https://erdosproblems.ai/problems/1155 https://erdosproblems.ai/problems/1156 https://erdosproblems.ai/problems/1157 https://erdosproblems.ai/problems/1158 https://erdosproblems.ai/problems/1159 https://erdosproblems.ai/problems/1160 https://erdosproblems.ai/problems/1161 https://erdosproblems.ai/problems/1162 https://erdosproblems.ai/problems/1163 https://erdosproblems.ai/problems/1164 https://erdosproblems.ai/problems/1165 https://erdosproblems.ai/problems/1166 https://erdosproblems.ai/problems/1167 https://erdosproblems.ai/problems/1168 https://erdosproblems.ai/problems/1169 https://erdosproblems.ai/problems/1170 https://erdosproblems.ai/problems/1171 https://erdosproblems.ai/problems/1172 https://erdosproblems.ai/problems/1173 https://erdosproblems.ai/problems/1174 https://erdosproblems.ai/problems/1175 https://erdosproblems.ai/problems/1176 https://erdosproblems.ai/problems/1177 https://erdosproblems.ai/problems/1178 https://erdosproblems.ai/problems/1179 https://erdosproblems.ai/problems/1180 https://erdosproblems.ai/problems/1181 https://erdosproblems.ai/problems/1182 https://erdosproblems.ai/problems/1183 https://erdosproblems.ai/problems/1184 https://erdosproblems.ai/problems/1185 https://erdosproblems.ai/problems/1186 https://erdosproblems.ai/problems/1187 https://erdosproblems.ai/problems/1188 https://erdosproblems.ai/problems/1189 https://erdosproblems.ai/problems/1190 https://erdosproblems.ai/problems/1191 https://erdosproblems.ai/problems/1192 https://erdosproblems.ai/problems/1193 https://erdosproblems.ai/problems/1194 https://erdosproblems.ai/problems/1195 https://erdosproblems.ai/problems/1196 https://erdosproblems.ai/problems/1197 https://erdosproblems.ai/problems/1198 https://erdosproblems.ai/problems/1199 https://erdosproblems.ai/problems/1200 https://erdosproblems.ai/problems/1201 https://erdosproblems.ai/problems/1202 https://erdosproblems.ai/problems/1203 https://erdosproblems.ai/problems/1204 https://erdosproblems.ai/problems/1205 https://erdosproblems.ai/problems/1206 https://erdosproblems.ai/problems/1207 https://erdosproblems.ai/problems/1208 https://erdosproblems.ai/problems/1209 https://erdosproblems.ai/problems/1210 https://erdosproblems.ai/problems/1211 https://erdosproblems.ai/problems/1212 https://erdosproblems.ai/problems/1213 https://erdosproblems.ai/problems/1214 https://erdosproblems.ai/problems/1215 https://erdosproblems.ai/problems/1216 https://erdosproblems.ai/problems/1217 https://erdosproblems.ai/problems/1218 https://erdosproblems.ai/problems/1219 https://erdosproblems.ai/problems/1220 https://erdosproblems.ai/problems/1221 https://erdosproblems.ai/wiki/_index https://erdosproblems.ai/wiki/library https://erdosproblems.ai/wiki/library/additive_bases https://erdosproblems.ai/wiki/library/additive_bases/alexeev_2025_forbidden_sidon_subsets_perfect_difference_sets https://erdosproblems.ai/wiki/library/additive_bases/alon_1985_application_graph_theory_additive_number_theory https://erdosproblems.ai/wiki/library/additive_bases/alon_1985_application_graph_theory_additive_number_theory/problem_p203 https://erdosproblems.ai/wiki/library/additive_bases/alon_1985_application_graph_theory_additive_number_theory/remark_p203 https://erdosproblems.ai/wiki/library/additive_bases/alon_1985_application_graph_theory_additive_number_theory/theorem_1 https://erdosproblems.ai/wiki/library/additive_bases/alon_1985_application_graph_theory_additive_number_theory/theorem_2 https://erdosproblems.ai/wiki/library/additive_bases/alon_1985_application_graph_theory_additive_number_theory/theorem_3 https://erdosproblems.ai/wiki/library/additive_bases/alon_1985_application_graph_theory_additive_number_theory/theorem_4 https://erdosproblems.ai/wiki/library/additive_bases/balasubramanian_2001_additive_complements_squares https://erdosproblems.ai/wiki/library/additive_bases/balasubramanian_2001_additive_complements_squares/theorem_1 https://erdosproblems.ai/wiki/library/additive_bases/balasubramanian_2001_additive_complements_squares/theorem_p11 https://erdosproblems.ai/wiki/library/additive_bases/balogh_2021_upper_bound_size_sidon_sets https://erdosproblems.ai/wiki/library/additive_bases/balogh_2021_upper_bound_size_sidon_sets/theorem_1_1 https://erdosproblems.ai/wiki/library/additive_bases/balogh_2021_upper_bound_size_sidon_sets/theorem_5_1 https://erdosproblems.ai/wiki/library/additive_bases/balogh_2021_upper_bound_size_sidon_sets/theorem_6_1 https://erdosproblems.ai/wiki/library/additive_bases/balogh_2021_upper_bound_size_sidon_sets/theorem_6_2 https://erdosproblems.ai/wiki/library/additive_bases/barany_et_al_2023_lagrange_like_spectrum_perfect_additive_complements https://erdosproblems.ai/wiki/library/additive_bases/bennett_bohman_2013_note_random_greedy_independent_set_algorithm https://erdosproblems.ai/wiki/library/additive_bases/bennett_bohman_2013_note_random_greedy_independent_set_algorithm/corollary_2_1 https://erdosproblems.ai/wiki/library/additive_bases/bennett_bohman_2013_note_random_greedy_independent_set_algorithm/corollary_3_1 https://erdosproblems.ai/wiki/library/additive_bases/bennett_bohman_2013_note_random_greedy_independent_set_algorithm/lemma_5_1 https://erdosproblems.ai/wiki/library/additive_bases/bennett_bohman_2013_note_random_greedy_independent_set_algorithm/theorem_1_1 https://erdosproblems.ai/wiki/library/additive_bases/bennett_bohman_2013_note_random_greedy_independent_set_algorithm/theorem_1_2 https://erdosproblems.ai/wiki/library/additive_bases/bhalla_2026_regularly_thin_minimal_asymptotic_basis_order https://erdosproblems.ai/wiki/library/additive_bases/bhalla_2026_regularly_thin_minimal_asymptotic_basis_order/theorem_1_1 https://erdosproblems.ai/wiki/library/additive_bases/borwein_et_al_2005_old_conjecture_erdos_turan_additive_bases https://erdosproblems.ai/wiki/library/additive_bases/borwein_et_al_2005_old_conjecture_erdos_turan_additive_bases/conjecture_0_1 https://erdosproblems.ai/wiki/library/additive_bases/borwein_et_al_2005_old_conjecture_erdos_turan_additive_bases/conjecture_2_1 https://erdosproblems.ai/wiki/library/additive_bases/borwein_et_al_2005_old_conjecture_erdos_turan_additive_bases/theorem_1_1 https://erdosproblems.ai/wiki/library/additive_bases/borwein_et_al_2005_old_conjecture_erdos_turan_additive_bases/theorem_2_7 https://erdosproblems.ai/wiki/library/additive_bases/bosio_2026_large_b_2_g_subsets_first https://erdosproblems.ai/wiki/library/additive_bases/bosio_2026_large_b_2_g_subsets_first/theorem_1_1 https://erdosproblems.ai/wiki/library/additive_bases/carlet_2022_apn_functions_whose_graphs_are_maximal_sidon_sets https://erdosproblems.ai/wiki/library/additive_bases/carlet_2022_apn_functions_whose_graphs_are_maximal_sidon_sets/corollary_3_2 https://erdosproblems.ai/wiki/library/additive_bases/carlet_2022_apn_functions_whose_graphs_are_maximal_sidon_sets/corollary_5_1 https://erdosproblems.ai/wiki/library/additive_bases/carlet_2022_apn_functions_whose_graphs_are_maximal_sidon_sets/corollary_5_2 https://erdosproblems.ai/wiki/library/additive_bases/carlet_2022_apn_functions_whose_graphs_are_maximal_sidon_sets/proposition_3_1 https://erdosproblems.ai/wiki/library/additive_bases/carlet_2022_apn_functions_whose_graphs_are_maximal_sidon_sets/proposition_4_1 https://erdosproblems.ai/wiki/library/additive_bases/carter_2025_diameter_finite_sidon_sets https://erdosproblems.ai/wiki/library/additive_bases/chen_2017_additive_complements_squares https://erdosproblems.ai/wiki/library/additive_bases/chen_2017_additive_complements_squares/corollary_1_1 https://erdosproblems.ai/wiki/library/additive_bases/chen_2017_additive_complements_squares/corollary_1_2 https://erdosproblems.ai/wiki/library/additive_bases/chen_2017_additive_complements_squares/theorem_1_1 https://erdosproblems.ai/wiki/library/additive_bases/chen_2017_additive_complements_squares/theorem_1_2 https://erdosproblems.ai/wiki/library/additive_bases/chen_2017_additive_complements_squares/theorem_2_1 https://erdosproblems.ai/wiki/library/additive_bases/cilleruelo_1993_additive_completion_kth_powers https://erdosproblems.ai/wiki/library/additive_bases/cilleruelo_1993_additive_completion_kth_powers/lemma_2 https://erdosproblems.ai/wiki/library/additive_bases/cilleruelo_1993_additive_completion_kth_powers/theorem_1 https://erdosproblems.ai/wiki/library/additive_bases/cilleruelo_1995_b_2_g_sequences_whose_terms https://erdosproblems.ai/wiki/library/additive_bases/cilleruelo_1995_b_2_g_sequences_whose_terms/theorem_1 https://erdosproblems.ai/wiki/library/additive_bases/cilleruelo_2000_upper_bound_b_2_2_sequences https://erdosproblems.ai/wiki/library/additive_bases/cilleruelo_2000_upper_bound_b_2_2_sequences/theorem_1 https://erdosproblems.ai/wiki/library/additive_bases/cilleruelo_2001_infinite_b_2_g_sequences https://erdosproblems.ai/wiki/library/additive_bases/cilleruelo_2001_infinite_b_2_g_sequences/conjecture_p1 https://erdosproblems.ai/wiki/library/additive_bases/cilleruelo_2001_infinite_b_2_g_sequences/theorem_1 https://erdosproblems.ai/wiki/library/additive_bases/cilleruelo_2002_upper_lower_bounds_finite_b_h https://erdosproblems.ai/wiki/library/additive_bases/cilleruelo_2002_upper_lower_bounds_finite_b_h/lemma_2_3 https://erdosproblems.ai/wiki/library/additive_bases/cilleruelo_2002_upper_lower_bounds_finite_b_h/theorem_1_1 https://erdosproblems.ai/wiki/library/additive_bases/cilleruelo_2002_upper_lower_bounds_finite_b_h/theorem_2_1 https://erdosproblems.ai/wiki/library/additive_bases/cilleruelo_2008_perfect_difference_sets_constructed_sidon_sets https://erdosproblems.ai/wiki/library/additive_bases/cilleruelo_2008_perfect_difference_sets_constructed_sidon_sets/problem_1 https://erdosproblems.ai/wiki/library/additive_bases/cilleruelo_2008_perfect_difference_sets_constructed_sidon_sets/theorem_1 https://erdosproblems.ai/wiki/library/additive_bases/cilleruelo_2008_perfect_difference_sets_constructed_sidon_sets/theorem_2 https://erdosproblems.ai/wiki/library/additive_bases/cilleruelo_2008_perfect_difference_sets_constructed_sidon_sets/theorem_3 https://erdosproblems.ai/wiki/library/additive_bases/cilleruelo_2010_generalization_theorem_erdos_renyi_sidon_sequences https://erdosproblems.ai/wiki/library/additive_bases/cilleruelo_2010_generalization_theorem_erdos_renyi_sidon_sequences/lemma_3_9 https://erdosproblems.ai/wiki/library/additive_bases/cilleruelo_2010_generalization_theorem_erdos_renyi_sidon_sequences/theorem_1_1 https://erdosproblems.ai/wiki/library/additive_bases/cilleruelo_2010_generalization_theorem_erdos_renyi_sidon_sequences/theorem_1_2 https://erdosproblems.ai/wiki/library/additive_bases/cilleruelo_2010_generalization_theorem_erdos_renyi_sidon_sequences/theorem_1_3 https://erdosproblems.ai/wiki/library/additive_bases/cilleruelo_2010_generalized_sidon_sets https://erdosproblems.ai/wiki/library/additive_bases/cilleruelo_2010_generalized_sidon_sets/theorem_1_5 https://erdosproblems.ai/wiki/library/additive_bases/cilleruelo_2010_generalized_sidon_sets/theorem_1_7 https://erdosproblems.ai/wiki/library/additive_bases/cilleruelo_2010_generalized_sidon_sets/theorem_2_1 https://erdosproblems.ai/wiki/library/additive_bases/cilleruelo_2010_probabilistic_constructions_b_2_g_sequences https://erdosproblems.ai/wiki/library/additive_bases/cilleruelo_2010_probabilistic_constructions_b_2_g_sequences/theorem_1 https://erdosproblems.ai/wiki/library/additive_bases/cilleruelo_2010_probabilistic_constructions_b_2_g_sequences/theorem_2 https://erdosproblems.ai/wiki/library/additive_bases/cilleruelo_2010_probabilistic_constructions_b_2_g_sequences/theorem_3 https://erdosproblems.ai/wiki/library/additive_bases/cilleruelo_2011_concentration_points_two_three_dimensional_modular https://erdosproblems.ai/wiki/library/additive_bases/cilleruelo_2011_concentration_points_two_three_dimensional_modular/corollary_1 https://erdosproblems.ai/wiki/library/additive_bases/cilleruelo_2011_concentration_points_two_three_dimensional_modular/corollary_2 https://erdosproblems.ai/wiki/library/additive_bases/cilleruelo_2011_concentration_points_two_three_dimensional_modular/corollary_3 https://erdosproblems.ai/wiki/library/additive_bases/cilleruelo_2011_concentration_points_two_three_dimensional_modular/corollary_4 https://erdosproblems.ai/wiki/library/additive_bases/cilleruelo_2011_concentration_points_two_three_dimensional_modular/theorem_1 https://erdosproblems.ai/wiki/library/additive_bases/cilleruelo_2011_concentration_points_two_three_dimensional_modular/theorem_2 https://erdosproblems.ai/wiki/library/additive_bases/cilleruelo_2013_dense_sets_integers_prescribed_representation_functions https://erdosproblems.ai/wiki/library/additive_bases/cilleruelo_2013_dense_sets_integers_prescribed_representation_functions/corollary_1 https://erdosproblems.ai/wiki/library/additive_bases/cilleruelo_2013_dense_sets_integers_prescribed_representation_functions/corollary_2 https://erdosproblems.ai/wiki/library/additive_bases/cilleruelo_2013_dense_sets_integers_prescribed_representation_functions/corollary_3 https://erdosproblems.ai/wiki/library/additive_bases/cilleruelo_2013_dense_sets_integers_prescribed_representation_functions/theorem_1 https://erdosproblems.ai/wiki/library/additive_bases/cilleruelo_2013_dense_sets_integers_prescribed_representation_functions/theorem_2 https://erdosproblems.ai/wiki/library/additive_bases/cilleruelo_2013_dense_sets_integers_prescribed_representation_functions/theorem_3 https://erdosproblems.ai/wiki/library/additive_bases/cilleruelo_2014_infinite_sidon_sequences https://erdosproblems.ai/wiki/library/additive_bases/cilleruelo_2015_sidon_sets_asymptotic_bases https://erdosproblems.ai/wiki/library/additive_bases/cilleruelo_2015_sidon_sets_asymptotic_bases/theorem_1_1 https://erdosproblems.ai/wiki/library/additive_bases/cilleruelo_2015_sidon_sets_asymptotic_bases/theorem_1_2 https://erdosproblems.ai/wiki/library/additive_bases/cilleruelo_2015_sidon_sets_asymptotic_bases/theorem_1_3 https://erdosproblems.ai/wiki/library/additive_bases/cilleruelo_2017_greedy_algorithm_b_h_g_sequences https://erdosproblems.ai/wiki/library/additive_bases/cilleruelo_2017_greedy_algorithm_b_h_g_sequences/theorem_2_1 https://erdosproblems.ai/wiki/library/additive_bases/cochrane_2026_mixed_incomplete_character_sums_rational_functions https://erdosproblems.ai/wiki/library/additive_bases/crocker_1971_sum_prime_two_powers_two https://erdosproblems.ai/wiki/library/additive_bases/crocker_1971_sum_prime_two_powers_two/lemma_ii https://erdosproblems.ai/wiki/library/additive_bases/crocker_1971_sum_prime_two_powers_two/theorem_i https://erdosproblems.ai/wiki/library/additive_bases/croot_2026_combinatorial_large_sieve_sidon_sets_distances https://erdosproblems.ai/wiki/library/additive_bases/croot_2026_combinatorial_large_sieve_sidon_sets_distances/corollary_1_2 https://erdosproblems.ai/wiki/library/additive_bases/croot_2026_combinatorial_large_sieve_sidon_sets_distances/proposition_2_4 https://erdosproblems.ai/wiki/library/additive_bases/croot_2026_combinatorial_large_sieve_sidon_sets_distances/proposition_4_3 https://erdosproblems.ai/wiki/library/additive_bases/croot_2026_combinatorial_large_sieve_sidon_sets_distances/theorem_1_1 https://erdosproblems.ai/wiki/library/additive_bases/croot_2026_combinatorial_large_sieve_sidon_sets_distances/theorem_1_10 https://erdosproblems.ai/wiki/library/additive_bases/croot_2026_combinatorial_large_sieve_sidon_sets_distances/theorem_1_11 https://erdosproblems.ai/wiki/library/additive_bases/croot_2026_combinatorial_large_sieve_sidon_sets_distances/theorem_1_3 https://erdosproblems.ai/wiki/library/additive_bases/croot_2026_combinatorial_large_sieve_sidon_sets_distances/theorem_1_4 https://erdosproblems.ai/wiki/library/additive_bases/croot_2026_combinatorial_large_sieve_sidon_sets_distances/theorem_1_5 https://erdosproblems.ai/wiki/library/additive_bases/croot_2026_combinatorial_large_sieve_sidon_sets_distances/theorem_1_6 https://erdosproblems.ai/wiki/library/additive_bases/croot_2026_combinatorial_large_sieve_sidon_sets_distances/theorem_1_7 https://erdosproblems.ai/wiki/library/additive_bases/croot_2026_combinatorial_large_sieve_sidon_sets_distances/theorem_1_8 https://erdosproblems.ai/wiki/library/additive_bases/croot_2026_combinatorial_large_sieve_sidon_sets_distances/theorem_1_9 https://erdosproblems.ai/wiki/library/additive_bases/croot_2026_combinatorial_large_sieve_sidon_sets_distances/theorem_4_1 https://erdosproblems.ai/wiki/library/additive_bases/csajbok_2024_complete_3_term_arithmetic_progression_free https://erdosproblems.ai/wiki/library/additive_bases/czerwinski_2023_sidon_sets_sum_free_sets_linear https://erdosproblems.ai/wiki/library/additive_bases/daryxx_2026_erdos_problem_10_grechuk_partial_result https://erdosproblems.ai/wiki/library/additive_bases/daryxx_2026_erdos_problem_10_grechuk_partial_result/daryxx_2026_erdos_problem_10_grechuk_partial_result https://erdosproblems.ai/wiki/library/additive_bases/ding_2020_green_s_problem_additive_complements_squares https://erdosproblems.ai/wiki/library/additive_bases/ding_2022_green_s_additive_complement_problem_k https://erdosproblems.ai/wiki/library/additive_bases/ding_2022_green_s_additive_complement_problem_k/theorem_1_1 https://erdosproblems.ai/wiki/library/additive_bases/ding_2022_note_additive_complements_squares https://erdosproblems.ai/wiki/library/additive_bases/ding_2025_cross_representations_additive_complements_r_th https://erdosproblems.ai/wiki/library/additive_bases/ding_2026_improved_upper_bound_ruzsa_number https://erdosproblems.ai/wiki/library/additive_bases/ding_2026_improved_upper_bound_ruzsa_number/lemma_2_2 https://erdosproblems.ai/wiki/library/additive_bases/ding_2026_improved_upper_bound_ruzsa_number/theorem_1_1 https://erdosproblems.ai/wiki/library/additive_bases/ding_2026_improved_upper_bound_ruzsa_number/theorem_1_3 https://erdosproblems.ai/wiki/library/additive_bases/doorn_2025_smallest_set_such_that_every_positive https://erdosproblems.ai/wiki/library/additive_bases/doorn_2025_smallest_set_such_that_every_positive/limsup_sharpness https://erdosproblems.ai/wiki/library/additive_bases/doorn_2025_smallest_set_such_that_every_positive/main_theorem https://erdosproblems.ai/wiki/library/additive_bases/doorn_2026_completeness_exponentially_increasing_sequences https://erdosproblems.ai/wiki/library/additive_bases/doorn_2026_completeness_exponentially_increasing_sequences/corollary_1 https://erdosproblems.ai/wiki/library/additive_bases/doorn_2026_completeness_exponentially_increasing_sequences/lemma_1 https://erdosproblems.ai/wiki/library/additive_bases/doorn_2026_completeness_exponentially_increasing_sequences/lemma_4 https://erdosproblems.ai/wiki/library/additive_bases/doorn_2026_completeness_exponentially_increasing_sequences/lemma_5 https://erdosproblems.ai/wiki/library/additive_bases/doorn_2026_completeness_exponentially_increasing_sequences/proposition_1 https://erdosproblems.ai/wiki/library/additive_bases/doorn_2026_completeness_exponentially_increasing_sequences/proposition_2 https://erdosproblems.ai/wiki/library/additive_bases/doorn_2026_completeness_exponentially_increasing_sequences/proposition_3 https://erdosproblems.ai/wiki/library/additive_bases/doorn_2026_completeness_exponentially_increasing_sequences/proposition_4 https://erdosproblems.ai/wiki/library/additive_bases/doorn_2026_completeness_exponentially_increasing_sequences/proposition_5 https://erdosproblems.ai/wiki/library/additive_bases/doorn_2026_completeness_exponentially_increasing_sequences/proposition_6 https://erdosproblems.ai/wiki/library/additive_bases/doorn_2026_completeness_exponentially_increasing_sequences/proposition_7 https://erdosproblems.ai/wiki/library/additive_bases/doorn_2026_completeness_exponentially_increasing_sequences/proposition_8 https://erdosproblems.ai/wiki/library/additive_bases/doorn_2026_completeness_exponentially_increasing_sequences/proposition_9 https://erdosproblems.ai/wiki/library/additive_bases/doorn_2026_completeness_exponentially_increasing_sequences/theorem_p1 https://erdosproblems.ai/wiki/library/additive_bases/erdos_1936_arithmetical_density_sum_two_sequences_one https://erdosproblems.ai/wiki/library/additive_bases/erdos_1936_arithmetical_density_sum_two_sequences_one/lemma_shift https://erdosproblems.ai/wiki/library/additive_bases/erdos_1936_arithmetical_density_sum_two_sequences_one/theorem https://erdosproblems.ai/wiki/library/additive_bases/erdos_1941_problem_sidon_additive_number_theory_related https://erdosproblems.ai/wiki/library/additive_bases/erdos_1941_problem_sidon_additive_number_theory_related/conjecture_p214 https://erdosproblems.ai/wiki/library/additive_bases/erdos_1941_problem_sidon_additive_number_theory_related/conjecture_p215 https://erdosproblems.ai/wiki/library/additive_bases/erdos_1941_problem_sidon_additive_number_theory_related/remark_p214 https://erdosproblems.ai/wiki/library/additive_bases/erdos_1941_problem_sidon_additive_number_theory_related/theorem_p212_lower_bound https://erdosproblems.ai/wiki/library/additive_bases/erdos_1941_problem_sidon_additive_number_theory_related/theorem_p212_representation_function https://erdosproblems.ai/wiki/library/additive_bases/erdos_1941_problem_sidon_additive_number_theory_related/theorem_p212_upper_bound https://erdosproblems.ai/wiki/library/additive_bases/erdos_1954_results_additive_number_theory https://erdosproblems.ai/wiki/library/additive_bases/erdos_1954_results_additive_number_theory/question_p853 https://erdosproblems.ai/wiki/library/additive_bases/erdos_1954_results_additive_number_theory/theorem_1 https://erdosproblems.ai/wiki/library/additive_bases/erdos_1954_results_additive_number_theory/theorem_2 https://erdosproblems.ai/wiki/library/additive_bases/erdos_1954_results_additive_number_theory/theorem_p851 https://erdosproblems.ai/wiki/library/additive_bases/erdos_1954_results_additive_number_theory/theorem_p853 https://erdosproblems.ai/wiki/library/additive_bases/erdos_1956_problem_additive_number_theory https://erdosproblems.ai/wiki/library/additive_bases/erdos_1956_problem_additive_number_theory/theorem_1 https://erdosproblems.ai/wiki/library/additive_bases/erdos_1956_problem_additive_number_theory/theorem_2 https://erdosproblems.ai/wiki/library/additive_bases/erdos_1960_additive_properties_random_sequences_positive_integers https://erdosproblems.ai/wiki/library/additive_bases/erdos_1961_representation_large_integers_as_sums_distinct https://erdosproblems.ai/wiki/library/additive_bases/erdos_1968_applications_graph_theory_number_theoretic_problems https://erdosproblems.ai/wiki/library/additive_bases/erdos_1968_applications_graph_theory_number_theoretic_problems/inequality_4 https://erdosproblems.ai/wiki/library/additive_bases/erdos_1968_applications_graph_theory_number_theoretic_problems/theorem https://erdosproblems.ai/wiki/library/additive_bases/erdos_1977_bases_sets_integers https://erdosproblems.ai/wiki/library/additive_bases/erdos_1977_bases_sets_integers/inequality_9 https://erdosproblems.ai/wiki/library/additive_bases/erdos_1977_bases_sets_integers/question_p425 https://erdosproblems.ai/wiki/library/additive_bases/erdos_1977_bases_sets_integers/theorem_1 https://erdosproblems.ai/wiki/library/additive_bases/erdos_1977_bases_sets_integers/theorem_2 https://erdosproblems.ai/wiki/library/additive_bases/erdos_1977_bases_sets_integers/theorem_3 https://erdosproblems.ai/wiki/library/additive_bases/erdos_1979_systems_distinct_representatives_minimal_bases_additive https://erdosproblems.ai/wiki/library/additive_bases/erdos_1979_systems_distinct_representatives_minimal_bases_additive/lemma_1 https://erdosproblems.ai/wiki/library/additive_bases/erdos_1979_systems_distinct_representatives_minimal_bases_additive/lemma_2 https://erdosproblems.ai/wiki/library/additive_bases/erdos_1979_systems_distinct_representatives_minimal_bases_additive/theorem_1 https://erdosproblems.ai/wiki/library/additive_bases/erdos_1979_systems_distinct_representatives_minimal_bases_additive/theorem_12 https://erdosproblems.ai/wiki/library/additive_bases/erdos_1979_systems_distinct_representatives_minimal_bases_additive/theorem_16 https://erdosproblems.ai/wiki/library/additive_bases/erdos_1979_systems_distinct_representatives_minimal_bases_additive/theorem_2 https://erdosproblems.ai/wiki/library/additive_bases/erdos_1979_systems_distinct_representatives_minimal_bases_additive/theorem_3 https://erdosproblems.ai/wiki/library/additive_bases/erdos_1979_systems_distinct_representatives_minimal_bases_additive/theorem_4 https://erdosproblems.ai/wiki/library/additive_bases/erdos_1979_systems_distinct_representatives_minimal_bases_additive/theorem_5 https://erdosproblems.ai/wiki/library/additive_bases/erdos_1979_systems_distinct_representatives_minimal_bases_additive/theorem_6 https://erdosproblems.ai/wiki/library/additive_bases/erdos_1979_systems_distinct_representatives_minimal_bases_additive/theorem_8 https://erdosproblems.ai/wiki/library/additive_bases/erdos_1979_systems_distinct_representatives_minimal_bases_additive/theorem_9 https://erdosproblems.ai/wiki/library/additive_bases/erdos_1980_bases_exact_order https://erdosproblems.ai/wiki/library/additive_bases/erdos_1981_problems_results_additive_multiplicative_number_theory https://erdosproblems.ai/wiki/library/additive_bases/erdos_1981_problems_results_additive_multiplicative_number_theory/construction_p175 https://erdosproblems.ai/wiki/library/additive_bases/erdos_1981_problems_results_additive_multiplicative_number_theory/definition_p179 https://erdosproblems.ai/wiki/library/additive_bases/erdos_1981_problems_results_additive_multiplicative_number_theory/display_1_1 https://erdosproblems.ai/wiki/library/additive_bases/erdos_1981_problems_results_additive_multiplicative_number_theory/display_1_3 https://erdosproblems.ai/wiki/library/additive_bases/erdos_1981_problems_results_additive_multiplicative_number_theory/display_1_6 https://erdosproblems.ai/wiki/library/additive_bases/erdos_1981_problems_results_additive_multiplicative_number_theory/display_3_1 https://erdosproblems.ai/wiki/library/additive_bases/erdos_1981_problems_results_additive_multiplicative_number_theory/display_3_5 https://erdosproblems.ai/wiki/library/additive_bases/erdos_1981_problems_results_additive_multiplicative_number_theory/question_p175 https://erdosproblems.ai/wiki/library/additive_bases/erdos_1981_problems_results_additive_multiplicative_number_theory/question_p179 https://erdosproblems.ai/wiki/library/additive_bases/erdos_1981_problems_results_additive_multiplicative_number_theory/theorem_p175 https://erdosproblems.ai/wiki/library/additive_bases/erdos_1981_problems_results_additive_multiplicative_number_theory/theorem_p181 https://erdosproblems.ai/wiki/library/additive_bases/erdos_1982_problems_additive_number_theory https://erdosproblems.ai/wiki/library/additive_bases/erdos_1982_problems_additive_number_theory/problem_p114 https://erdosproblems.ai/wiki/library/additive_bases/erdos_1982_problems_additive_number_theory/theorem_p114 https://erdosproblems.ai/wiki/library/additive_bases/erdos_1984_extremal_problems_number_theory https://erdosproblems.ai/wiki/library/additive_bases/erdos_1984_extremal_problems_number_theory/construction_p57 https://erdosproblems.ai/wiki/library/additive_bases/erdos_1984_extremal_problems_number_theory/display_12 https://erdosproblems.ai/wiki/library/additive_bases/erdos_1984_extremal_problems_number_theory/display_31 https://erdosproblems.ai/wiki/library/additive_bases/erdos_1988_partitions_bases_into_disjoint_unions_bases https://erdosproblems.ai/wiki/library/additive_bases/erdos_1988_partitions_bases_into_disjoint_unions_bases/problem_2 https://erdosproblems.ai/wiki/library/additive_bases/erdos_1988_partitions_bases_into_disjoint_unions_bases/problem_3 https://erdosproblems.ai/wiki/library/additive_bases/erdos_1988_partitions_bases_into_disjoint_unions_bases/problem_4 https://erdosproblems.ai/wiki/library/additive_bases/erdos_1988_partitions_bases_into_disjoint_unions_bases/theorem_1 https://erdosproblems.ai/wiki/library/additive_bases/erdos_1988_partitions_bases_into_disjoint_unions_bases/theorem_2 https://erdosproblems.ai/wiki/library/additive_bases/erdos_1988_partitions_bases_into_disjoint_unions_bases/theorem_3 https://erdosproblems.ai/wiki/library/additive_bases/erdos_1988_partitions_bases_into_disjoint_unions_bases/theorem_4 https://erdosproblems.ai/wiki/library/additive_bases/erdos_1988_partitions_bases_into_disjoint_unions_bases/theorem_5 https://erdosproblems.ai/wiki/library/additive_bases/erdos_1988_partitions_bases_into_disjoint_unions_bases/theorem_6 https://erdosproblems.ai/wiki/library/additive_bases/erdos_1988_partitions_bases_into_disjoint_unions_bases/theorem_7 https://erdosproblems.ai/wiki/library/additive_bases/erdos_1988_partitions_bases_into_disjoint_unions_bases/theorem_8 https://erdosproblems.ai/wiki/library/additive_bases/erdos_1989_additive_bases_many_representations https://erdosproblems.ai/wiki/library/additive_bases/erdos_1990_representations_integers_as_sum_k_terms https://erdosproblems.ai/wiki/library/additive_bases/erdos_1990_representations_integers_as_sum_k_terms/theorem_1 https://erdosproblems.ai/wiki/library/additive_bases/erdos_1990_representations_integers_as_sum_k_terms/theorem_2 https://erdosproblems.ai/wiki/library/additive_bases/erdos_1990_representations_integers_as_sum_k_terms/theorem_3 https://erdosproblems.ai/wiki/library/additive_bases/erdos_1994_sum_sets_sidon_sets_i https://erdosproblems.ai/wiki/library/additive_bases/erdos_1994_sum_sets_sidon_sets_i/problem_5 https://erdosproblems.ai/wiki/library/additive_bases/erdos_1994_sum_sets_sidon_sets_i/problem_7 https://erdosproblems.ai/wiki/library/additive_bases/erdos_1994_sum_sets_sidon_sets_i/problem_9 https://erdosproblems.ai/wiki/library/additive_bases/erdos_1994_sum_sets_sidon_sets_i/theorem_1 https://erdosproblems.ai/wiki/library/additive_bases/erdos_1994_sum_sets_sidon_sets_i/theorem_2 https://erdosproblems.ai/wiki/library/additive_bases/erdos_1994_sum_sets_sidon_sets_i/theorem_3 https://erdosproblems.ai/wiki/library/additive_bases/erdos_1994_sum_sets_sidon_sets_i/theorem_4 https://erdosproblems.ai/wiki/library/additive_bases/erdos_1994_sum_sets_sidon_sets_i/theorem_5 https://erdosproblems.ai/wiki/library/additive_bases/erdos_et_al_1995_sum_sets_sidon_sets_ii https://erdosproblems.ai/wiki/library/additive_bases/erdos_et_al_1995_sum_sets_sidon_sets_ii/theorem_1 https://erdosproblems.ai/wiki/library/additive_bases/erdos_et_al_1995_sum_sets_sidon_sets_ii/theorem_2 https://erdosproblems.ai/wiki/library/additive_bases/erdos_et_al_1995_sum_sets_sidon_sets_ii/theorem_3 https://erdosproblems.ai/wiki/library/additive_bases/erdos_et_al_1995_sum_sets_sidon_sets_ii/theorem_4 https://erdosproblems.ai/wiki/library/additive_bases/erdos_freud_1991_sums_sidon_sequence https://erdosproblems.ai/wiki/library/additive_bases/erdos_freud_1991_sums_sidon_sequence/definition_p203 https://erdosproblems.ai/wiki/library/additive_bases/erdos_freud_1991_sums_sidon_sequence/proposition_1 https://erdosproblems.ai/wiki/library/additive_bases/erdos_freud_1991_sums_sidon_sequence/proposition_2 https://erdosproblems.ai/wiki/library/additive_bases/fabian_2019_strong_infinite_sidon_b_h_sets https://erdosproblems.ai/wiki/library/additive_bases/fabian_2019_strong_infinite_sidon_b_h_sets/question_5_1 https://erdosproblems.ai/wiki/library/additive_bases/fabian_2019_strong_infinite_sidon_b_h_sets/theorem_1_1 https://erdosproblems.ai/wiki/library/additive_bases/fabian_2019_strong_infinite_sidon_b_h_sets/theorem_1_2 https://erdosproblems.ai/wiki/library/additive_bases/fabian_2019_strong_infinite_sidon_b_h_sets/theorem_1_3 https://erdosproblems.ai/wiki/library/additive_bases/fabian_2019_strong_infinite_sidon_b_h_sets/theorem_1_4 https://erdosproblems.ai/wiki/library/additive_bases/fabian_2019_strong_infinite_sidon_b_h_sets/theorem_2_1 https://erdosproblems.ai/wiki/library/additive_bases/fabian_2019_strong_infinite_sidon_b_h_sets/theorem_4_1 https://erdosproblems.ai/wiki/library/additive_bases/fan_2026_strongly_complete_sets_conjecture_erdos https://erdosproblems.ai/wiki/library/additive_bases/fan_2026_strongly_complete_sets_conjecture_erdos/remark_4_2 https://erdosproblems.ai/wiki/library/additive_bases/fang_sandor_2022_function_sx_additive_complements https://erdosproblems.ai/wiki/library/additive_bases/fang_sandor_2022_sets_sum_difference_structure https://erdosproblems.ai/wiki/library/additive_bases/folkman_1966_representation_integers_as_sums_distinct_terms https://erdosproblems.ai/wiki/library/additive_bases/folkman_1966_representation_integers_as_sums_distinct_terms/remarks_p655 https://erdosproblems.ai/wiki/library/additive_bases/folkman_1966_representation_integers_as_sums_distinct_terms/theorem_1_1 https://erdosproblems.ai/wiki/library/additive_bases/folkman_1966_representation_integers_as_sums_distinct_terms/theorem_1_2 https://erdosproblems.ai/wiki/library/additive_bases/folkman_1966_representation_integers_as_sums_distinct_terms/theorem_1_3 https://erdosproblems.ai/wiki/library/additive_bases/gabdullin_2024_trigonometric_polynomials_frequencies_set_cubes https://erdosproblems.ai/wiki/library/additive_bases/gabdullin_2024_trigonometric_polynomials_frequencies_set_cubes/theorem_1_1 https://erdosproblems.ai/wiki/library/additive_bases/gabdullin_2024_trigonometric_polynomials_frequencies_set_cubes/theorem_1_2 https://erdosproblems.ai/wiki/library/additive_bases/garaev_2026_sidon_sets_squares_cubes_quartics_short https://erdosproblems.ai/wiki/library/additive_bases/garaev_2026_sidon_sets_squares_cubes_quartics_short/theorem_1 https://erdosproblems.ai/wiki/library/additive_bases/garaev_2026_sidon_sets_squares_cubes_quartics_short/theorem_2 https://erdosproblems.ai/wiki/library/additive_bases/garaev_2026_sidon_sets_squares_cubes_quartics_short/theorem_3 https://erdosproblems.ai/wiki/library/additive_bases/garaev_2026_sidon_sets_squares_cubes_quartics_short/theorem_4 https://erdosproblems.ai/wiki/library/additive_bases/garaev_2026_sidon_sets_squares_cubes_quartics_short/theorem_5 https://erdosproblems.ai/wiki/library/additive_bases/garaev_2026_sidon_sets_squares_cubes_quartics_short/theorem_6 https://erdosproblems.ai/wiki/library/additive_bases/garaev_2026_sidon_sets_squares_cubes_quartics_short/theorem_7 https://erdosproblems.ai/wiki/library/additive_bases/geneson_2026_deletion_thresholds_exponential_examples_complete_sequences https://erdosproblems.ai/wiki/library/additive_bases/geneson_2026_deletion_thresholds_exponential_examples_complete_sequences/corollary_12 https://erdosproblems.ai/wiki/library/additive_bases/geneson_2026_deletion_thresholds_exponential_examples_complete_sequences/theorem_1 https://erdosproblems.ai/wiki/library/additive_bases/geneson_2026_deletion_thresholds_exponential_examples_complete_sequences/theorem_9 https://erdosproblems.ai/wiki/library/additive_bases/graham_1964_complete_sequences_polynomial_values https://erdosproblems.ai/wiki/library/additive_bases/graham_1964_property_fibonacci_numbers https://erdosproblems.ai/wiki/library/additive_bases/graham_1964_property_fibonacci_numbers/problem_p10 https://erdosproblems.ai/wiki/library/additive_bases/graham_1964_property_fibonacci_numbers/property_b https://erdosproblems.ai/wiki/library/additive_bases/graham_1964_property_fibonacci_numbers/theorem https://erdosproblems.ai/wiki/library/additive_bases/graham_1971_sums_integers_taken_fixed_sequence https://erdosproblems.ai/wiki/library/additive_bases/graham_1971_sums_integers_taken_fixed_sequence/question_10 https://erdosproblems.ai/wiki/library/additive_bases/graham_1971_sums_integers_taken_fixed_sequence/question_12 https://erdosproblems.ai/wiki/library/additive_bases/graham_1971_sums_integers_taken_fixed_sequence/question_8 https://erdosproblems.ai/wiki/library/additive_bases/graham_nd_conjecture_erdos_additive_number_theory https://erdosproblems.ai/wiki/library/additive_bases/granville_1998_binary_additive_problem_erdos_order_2_mod_p_2 https://erdosproblems.ai/wiki/library/additive_bases/green_2001_number_squares_b_h_g_sets https://erdosproblems.ai/wiki/library/additive_bases/green_2001_number_squares_b_h_g_sets/theorem_12 https://erdosproblems.ai/wiki/library/additive_bases/green_2001_number_squares_b_h_g_sets/theorem_13 https://erdosproblems.ai/wiki/library/additive_bases/green_2001_number_squares_b_h_g_sets/theorem_15 https://erdosproblems.ai/wiki/library/additive_bases/green_2001_number_squares_b_h_g_sets/theorem_17 https://erdosproblems.ai/wiki/library/additive_bases/green_2001_number_squares_b_h_g_sets/theorem_22 https://erdosproblems.ai/wiki/library/additive_bases/green_2001_number_squares_b_h_g_sets/theorem_23 https://erdosproblems.ai/wiki/library/additive_bases/green_2001_number_squares_b_h_g_sets/theorem_24 https://erdosproblems.ai/wiki/library/additive_bases/green_2001_number_squares_b_h_g_sets/theorem_25 https://erdosproblems.ai/wiki/library/additive_bases/green_2026_100_open_problems https://erdosproblems.ai/wiki/library/additive_bases/grekos_et_al_2003_erdos_turan_conjecture https://erdosproblems.ai/wiki/library/additive_bases/grekos_et_al_2003_erdos_turan_conjecture/corollary_3_4 https://erdosproblems.ai/wiki/library/additive_bases/grekos_et_al_2003_erdos_turan_conjecture/lemma_2_2 https://erdosproblems.ai/wiki/library/additive_bases/grekos_et_al_2003_erdos_turan_conjecture/lemma_5_4 https://erdosproblems.ai/wiki/library/additive_bases/grekos_et_al_2003_erdos_turan_conjecture/theorem_2_1 https://erdosproblems.ai/wiki/library/additive_bases/grekos_et_al_2003_erdos_turan_conjecture/theorem_5_7 https://erdosproblems.ai/wiki/library/additive_bases/grekos_et_al_2003_erdos_turan_conjecture/theorem_6_9 https://erdosproblems.ai/wiki/library/additive_bases/habsieger_1995_additive_completion_polynomial_sets https://erdosproblems.ai/wiki/library/additive_bases/habsieger_1995_additive_completion_polynomial_sets/theorem https://erdosproblems.ai/wiki/library/additive_bases/habsieger_2016_numerical_note_upper_bounds_b_2 https://erdosproblems.ai/wiki/library/additive_bases/habsieger_2016_numerical_note_upper_bounds_b_2/corollary_1 https://erdosproblems.ai/wiki/library/additive_bases/habsieger_2016_numerical_note_upper_bounds_b_2/theorem_1 https://erdosproblems.ai/wiki/library/additive_bases/habsieger_2016_numerical_note_upper_bounds_b_2/theorem_2 https://erdosproblems.ai/wiki/library/additive_bases/hegyvari_1991_complete_sequences https://erdosproblems.ai/wiki/library/additive_bases/hegyvari_1991_complete_sequences/lemma_1 https://erdosproblems.ai/wiki/library/additive_bases/hegyvari_1991_complete_sequences/theorem https://erdosproblems.ai/wiki/library/additive_bases/hegyvari_1994_sumset_certain_sets https://erdosproblems.ai/wiki/library/additive_bases/hegyvari_1994_sumset_certain_sets/lemma_1 https://erdosproblems.ai/wiki/library/additive_bases/hegyvari_1994_sumset_certain_sets/theorem_1 https://erdosproblems.ai/wiki/library/additive_bases/hegyvari_1994_sumset_certain_sets/theorem_2 https://erdosproblems.ai/wiki/library/additive_bases/hegyvari_1994_sumset_certain_sets/theorem_3 https://erdosproblems.ai/wiki/library/additive_bases/hegyvari_2007_answer_question_burr_erdos_restricted_addition https://erdosproblems.ai/wiki/library/additive_bases/hegyvari_2007_answer_question_burr_erdos_restricted_addition/theorem_1 https://erdosproblems.ai/wiki/library/additive_bases/hegyvari_2007_answer_question_burr_erdos_restricted_addition/theorem_10 https://erdosproblems.ai/wiki/library/additive_bases/hegyvari_2007_answer_question_burr_erdos_restricted_addition/theorem_3 https://erdosproblems.ai/wiki/library/additive_bases/hegyvari_2007_answer_question_burr_erdos_restricted_addition/theorem_4 https://erdosproblems.ai/wiki/library/additive_bases/hegyvari_2007_answer_question_burr_erdos_restricted_addition/theorem_9 https://erdosproblems.ai/wiki/library/additive_bases/hercher_2024_sum_squarefree_integers_power_two https://erdosproblems.ai/wiki/library/additive_bases/huber_2026_saturated_sidon_sets_consecutive_intervals_eight_mark_threshold_144 https://erdosproblems.ai/wiki/library/additive_bases/huber_2026_saturated_sidon_sets_consecutive_intervals_eight_mark_threshold_144/lemma_12_1 https://erdosproblems.ai/wiki/library/additive_bases/huber_2026_saturated_sidon_sets_consecutive_intervals_eight_mark_threshold_144/lemma_2_2 https://erdosproblems.ai/wiki/library/additive_bases/huber_2026_saturated_sidon_sets_consecutive_intervals_eight_mark_threshold_144/proposition_3_1 https://erdosproblems.ai/wiki/library/additive_bases/huber_2026_saturated_sidon_sets_consecutive_intervals_eight_mark_threshold_144/theorem_1_1 https://erdosproblems.ai/wiki/library/additive_bases/jain_2024_explicit_economical_additive_basis https://erdosproblems.ai/wiki/library/additive_bases/jain_2024_explicit_economical_additive_basis/lemma_2_2 https://erdosproblems.ai/wiki/library/additive_bases/jain_2024_explicit_economical_additive_basis/section_2_2 https://erdosproblems.ai/wiki/library/additive_bases/jain_2024_explicit_economical_additive_basis/theorem_1_1 https://erdosproblems.ai/wiki/library/additive_bases/jenw1n_2026_erdos_354_part_i_lean_proof https://erdosproblems.ai/wiki/library/additive_bases/jenw1n_2026_erdos_354_part_i_lean_proof/evidence https://erdosproblems.ai/wiki/library/additive_bases/jenw1n_2026_erdos_354_part_i_lean_proof/jenw1n_2026_erdos_354_part_i_lean_proof https://erdosproblems.ai/wiki/library/additive_bases/jenw1n_2026_erdos_354_part_i_lean_proof/target https://erdosproblems.ai/wiki/library/additive_bases/jin_2014_density_versions_plunnecke_inequality https://erdosproblems.ai/wiki/library/additive_bases/jin_2014_density_versions_plunnecke_inequality/lemma_1 https://erdosproblems.ai/wiki/library/additive_bases/jin_2014_density_versions_plunnecke_inequality/theorem_2 https://erdosproblems.ai/wiki/library/additive_bases/jin_2014_density_versions_plunnecke_inequality/theorem_3 https://erdosproblems.ai/wiki/library/additive_bases/jin_2014_density_versions_plunnecke_inequality/theorem_4 https://erdosproblems.ai/wiki/library/additive_bases/jin_2014_density_versions_plunnecke_inequality/theorem_5 https://erdosproblems.ai/wiki/library/additive_bases/jin_2014_density_versions_plunnecke_inequality/theorem_6 https://erdosproblems.ai/wiki/library/additive_bases/jin_2014_density_versions_plunnecke_inequality/theorem_7 https://erdosproblems.ai/wiki/library/additive_bases/kiss_2022_generalized_sidon_sets_perfect_powers https://erdosproblems.ai/wiki/library/additive_bases/kiss_2022_generalized_sidon_sets_perfect_powers/corollary_1 https://erdosproblems.ai/wiki/library/additive_bases/kiss_2022_generalized_sidon_sets_perfect_powers/theorem_2 https://erdosproblems.ai/wiki/library/additive_bases/kiss_2022_generalized_sidon_sets_perfect_powers/theorem_3 https://erdosproblems.ai/wiki/library/additive_bases/kiss_2022_generalized_sidon_sets_perfect_powers/theorem_p2 https://erdosproblems.ai/wiki/library/additive_bases/kitamura_2026_lean_proof_erdos_problem_354_ii https://erdosproblems.ai/wiki/library/additive_bases/kitamura_2026_lean_proof_erdos_problem_354_ii/erdos_354_part_ii_solved https://erdosproblems.ai/wiki/library/additive_bases/kitamura_2026_lean_proof_erdos_problem_354_ii/kitamura_2026_lean_proof_erdos_problem_354_ii https://erdosproblems.ai/wiki/library/additive_bases/kohayakawa_2015_number_sidon_sets_sparse_random_set_integers https://erdosproblems.ai/wiki/library/additive_bases/kohayakawa_2015_number_sidon_sets_sparse_random_set_integers/theorem_1_1 https://erdosproblems.ai/wiki/library/additive_bases/kohayakawa_2015_number_sidon_sets_sparse_random_set_integers/theorem_1_2 https://erdosproblems.ai/wiki/library/additive_bases/kohayakawa_2015_number_sidon_sets_sparse_random_set_integers/theorem_2_1 https://erdosproblems.ai/wiki/library/additive_bases/kohayakawa_2015_number_sidon_sets_sparse_random_set_integers/theorem_2_2 https://erdosproblems.ai/wiki/library/additive_bases/kohayakawa_2015_number_sidon_sets_sparse_random_set_integers/theorem_2_3 https://erdosproblems.ai/wiki/library/additive_bases/kohayakawa_2015_number_sidon_sets_sparse_random_set_integers/theorem_2_5 https://erdosproblems.ai/wiki/library/additive_bases/kohayakawa_2015_number_sidon_sets_sparse_random_set_integers/theorem_2_6 https://erdosproblems.ai/wiki/library/additive_bases/kohayakawa_2015_number_sidon_sets_sparse_random_set_integers/theorem_2_7 https://erdosproblems.ai/wiki/library/additive_bases/kolountzakis_1996_additive_complements_primes_sets_similar_growth https://erdosproblems.ai/wiki/library/additive_bases/kolountzakis_1996_additive_complements_primes_sets_similar_growth/corollary_1 https://erdosproblems.ai/wiki/library/additive_bases/kolountzakis_1996_additive_complements_primes_sets_similar_growth/theorem_1 https://erdosproblems.ai/wiki/library/additive_bases/kolountzakis_1996_additive_complements_primes_sets_similar_growth/theorem_2 https://erdosproblems.ai/wiki/library/additive_bases/kolountzakis_1996_density_b_h_g_sequences_minimum https://erdosproblems.ai/wiki/library/additive_bases/kolountzakis_1996_density_b_h_g_sequences_minimum/theorem_1 https://erdosproblems.ai/wiki/library/additive_bases/kolountzakis_1996_density_b_h_g_sequences_minimum/theorem_2 https://erdosproblems.ai/wiki/library/additive_bases/kolountzakis_1996_density_b_h_g_sequences_minimum/theorem_3 https://erdosproblems.ai/wiki/library/additive_bases/kolountzakis_1996_density_b_h_g_sequences_minimum/theorem_4 https://erdosproblems.ai/wiki/library/additive_bases/kolountzakis_1999_uniform_distribution_residue_classes_dense_sets https://erdosproblems.ai/wiki/library/additive_bases/kolountzakis_1999_uniform_distribution_residue_classes_dense_sets/theorem_1 https://erdosproblems.ai/wiki/library/additive_bases/kolountzakis_1999_uniform_distribution_residue_classes_dense_sets/theorem_2 https://erdosproblems.ai/wiki/library/additive_bases/konieczny_2016_sets_recurrence_as_bases_positive_integers https://erdosproblems.ai/wiki/library/additive_bases/konieczny_2016_sets_recurrence_as_bases_positive_integers/lemma_1_1 https://erdosproblems.ai/wiki/library/additive_bases/konieczny_2016_sets_recurrence_as_bases_positive_integers/lemma_1_2 https://erdosproblems.ai/wiki/library/additive_bases/konieczny_2016_sets_recurrence_as_bases_positive_integers/proposition_1_3 https://erdosproblems.ai/wiki/library/additive_bases/konieczny_2016_sets_recurrence_as_bases_positive_integers/proposition_2_9 https://erdosproblems.ai/wiki/library/additive_bases/konieczny_2016_sets_recurrence_as_bases_positive_integers/question_1 https://erdosproblems.ai/wiki/library/additive_bases/konieczny_2016_sets_recurrence_as_bases_positive_integers/question_2 https://erdosproblems.ai/wiki/library/additive_bases/konieczny_2016_sets_recurrence_as_bases_positive_integers/theorem_2_6 https://erdosproblems.ai/wiki/library/additive_bases/konieczny_2016_sets_recurrence_as_bases_positive_integers/theorem_3_1 https://erdosproblems.ai/wiki/library/additive_bases/konieczny_2016_sets_recurrence_as_bases_positive_integers/theorem_a https://erdosproblems.ai/wiki/library/additive_bases/konieczny_2016_sets_recurrence_as_bases_positive_integers/theorem_a4 https://erdosproblems.ai/wiki/library/additive_bases/konieczny_2016_sets_recurrence_as_bases_positive_integers/theorem_b https://erdosproblems.ai/wiki/library/additive_bases/konstantoulas_2013_lower_bounds_conjecture_erdos_turan https://erdosproblems.ai/wiki/library/additive_bases/konyagin_2009_erdos_turan_problem_infinite_groups https://erdosproblems.ai/wiki/library/additive_bases/konyagin_2009_erdos_turan_problem_infinite_groups/corollary_1 https://erdosproblems.ai/wiki/library/additive_bases/konyagin_2009_erdos_turan_problem_infinite_groups/theorem_1 https://erdosproblems.ai/wiki/library/additive_bases/konyagin_2009_erdos_turan_problem_infinite_groups/theorem_2 https://erdosproblems.ai/wiki/library/additive_bases/larsen_2026_robust_additive_bases_without_minimal_subbases https://erdosproblems.ai/wiki/library/additive_bases/larsen_2026_robust_additive_bases_without_minimal_subbases/theorem_1 https://erdosproblems.ai/wiki/library/additive_bases/larsen_2026_three_questions_erdos_nathanson_asymptotic_bases https://erdosproblems.ai/wiki/library/additive_bases/larsen_2026_three_questions_erdos_nathanson_asymptotic_bases/theorem_1 https://erdosproblems.ai/wiki/library/additive_bases/larsen_2026_three_questions_erdos_nathanson_asymptotic_bases/theorem_2 https://erdosproblems.ai/wiki/library/additive_bases/lev_2004_reconstructing_integer_sets_representation_functions https://erdosproblems.ai/wiki/library/additive_bases/lev_2004_reconstructing_integer_sets_representation_functions/construction_p4 https://erdosproblems.ai/wiki/library/additive_bases/lev_2004_reconstructing_integer_sets_representation_functions/theorem_1 https://erdosproblems.ai/wiki/library/additive_bases/lev_2004_reconstructing_integer_sets_representation_functions/theorem_2 https://erdosproblems.ai/wiki/library/additive_bases/lev_2004_reconstructing_integer_sets_representation_functions/theorem_3 https://erdosproblems.ai/wiki/library/additive_bases/lichtman_2024_modification_linear_sieve_count_twin_primes https://erdosproblems.ai/wiki/library/additive_bases/lichtman_2024_modification_linear_sieve_count_twin_primes/proposition_5_4 https://erdosproblems.ai/wiki/library/additive_bases/lichtman_2024_modification_linear_sieve_count_twin_primes/theorem_1_1 https://erdosproblems.ai/wiki/library/additive_bases/lichtman_2024_modification_linear_sieve_count_twin_primes/theorem_1_2 https://erdosproblems.ai/wiki/library/additive_bases/lichtman_2024_modification_linear_sieve_count_twin_primes/theorem_2_12 https://erdosproblems.ai/wiki/library/additive_bases/lindstrom_2000_b_h_g_sequences_b_h https://erdosproblems.ai/wiki/library/additive_bases/lindstrom_2000_b_h_g_sequences_b_h/corollary_p659 https://erdosproblems.ai/wiki/library/additive_bases/lindstrom_2000_b_h_g_sequences_b_h/theorem_p658 https://erdosproblems.ai/wiki/library/additive_bases/lorentz_1954_problem_additive_number_theory https://erdosproblems.ai/wiki/library/additive_bases/lorentz_1954_problem_additive_number_theory/greedy_interval_cover https://erdosproblems.ai/wiki/library/additive_bases/lorentz_1954_problem_additive_number_theory/theorem_1 https://erdosproblems.ai/wiki/library/additive_bases/lorentz_1954_problem_additive_number_theory/theorem_2 https://erdosproblems.ai/wiki/library/additive_bases/ma_2022_note_additive_complements https://erdosproblems.ai/wiki/library/additive_bases/ma_2026_largest_sidon_subsets_weak_sidon_sets https://erdosproblems.ai/wiki/library/additive_bases/ma_2026_largest_sidon_subsets_weak_sidon_sets/theorem_1_2 https://erdosproblems.ai/wiki/library/additive_bases/ma_2026_largest_sidon_subsets_weak_sidon_sets/theorem_1_3 https://erdosproblems.ai/wiki/library/additive_bases/ma_2026_largest_sidon_subsets_weak_sidon_sets/theorem_1_5 https://erdosproblems.ai/wiki/library/additive_bases/ma_2026_largest_sidon_subsets_weak_sidon_sets/theorem_1_6 https://erdosproblems.ai/wiki/library/additive_bases/martin_2005_constructions_generalized_sidon_sets https://erdosproblems.ai/wiki/library/additive_bases/martin_2005_constructions_generalized_sidon_sets/theorem_1 https://erdosproblems.ai/wiki/library/additive_bases/martin_2005_constructions_generalized_sidon_sets/theorem_2 https://erdosproblems.ai/wiki/library/additive_bases/martin_2005_constructions_generalized_sidon_sets/theorem_3 https://erdosproblems.ai/wiki/library/additive_bases/martin_2005_constructions_generalized_sidon_sets/theorem_4 https://erdosproblems.ai/wiki/library/additive_bases/maynard_2020_primes_arithmetic_progressions_large_moduli_i https://erdosproblems.ai/wiki/library/additive_bases/maynard_2020_primes_arithmetic_progressions_large_moduli_i/corollary_1_2 https://erdosproblems.ai/wiki/library/additive_bases/maynard_2020_primes_arithmetic_progressions_large_moduli_i/corollary_1_3 https://erdosproblems.ai/wiki/library/additive_bases/maynard_2020_primes_arithmetic_progressions_large_moduli_i/corollary_1_4 https://erdosproblems.ai/wiki/library/additive_bases/maynard_2020_primes_arithmetic_progressions_large_moduli_i/theorem_1_1 https://erdosproblems.ai/wiki/library/additive_bases/maynard_2020_primes_arithmetic_progressions_large_moduli_ii https://erdosproblems.ai/wiki/library/additive_bases/maynard_2020_primes_arithmetic_progressions_large_moduli_ii/theorem_1_1 https://erdosproblems.ai/wiki/library/additive_bases/maynard_2020_primes_arithmetic_progressions_large_moduli_ii/theorem_1_2 https://erdosproblems.ai/wiki/library/additive_bases/maynard_2020_primes_arithmetic_progressions_large_moduli_iii https://erdosproblems.ai/wiki/library/additive_bases/maynard_2020_primes_arithmetic_progressions_large_moduli_iii/corollary_1_4 https://erdosproblems.ai/wiki/library/additive_bases/maynard_2020_primes_arithmetic_progressions_large_moduli_iii/theorem_1_1 https://erdosproblems.ai/wiki/library/additive_bases/maynard_2020_primes_arithmetic_progressions_large_moduli_iii/theorem_1_2 https://erdosproblems.ai/wiki/library/additive_bases/maynard_2020_primes_arithmetic_progressions_large_moduli_iii/theorem_1_3 https://erdosproblems.ai/wiki/library/additive_bases/moser_1963_notes_number_theory https://erdosproblems.ai/wiki/library/additive_bases/moser_1963_notes_number_theory/equation_5 https://erdosproblems.ai/wiki/library/additive_bases/moser_1963_notes_number_theory/problems_p161 https://erdosproblems.ai/wiki/library/additive_bases/nagy_2022_thin_sidon_sets_nonlinearity_vectorial_boolean https://erdosproblems.ai/wiki/library/additive_bases/nagy_pach_tomon_2021_additive_bases_coset_covers https://erdosproblems.ai/wiki/library/additive_bases/narkiewicz_1960_remarks_conjecture_hanani_additive_number_theory https://erdosproblems.ai/wiki/library/additive_bases/nash_1989_sequences https://erdosproblems.ai/wiki/library/additive_bases/nash_1989_sequences/lemma_1 https://erdosproblems.ai/wiki/library/additive_bases/nash_1989_sequences/main_theorem https://erdosproblems.ai/wiki/library/additive_bases/nathanson_2003_generalized_additive_bases_konigs_lemma_erdos_turan_conjecture https://erdosproblems.ai/wiki/library/additive_bases/nathanson_2003_generalized_additive_bases_konigs_lemma_erdos_turan_conjecture/theorem_1 https://erdosproblems.ai/wiki/library/additive_bases/nathanson_2003_generalized_additive_bases_konigs_lemma_erdos_turan_conjecture/theorem_4 https://erdosproblems.ai/wiki/library/additive_bases/nathanson_2003_generalized_additive_bases_konigs_lemma_erdos_turan_conjecture/theorem_6 https://erdosproblems.ai/wiki/library/additive_bases/nathanson_2013_additive_systems_theorem_de_bruijn https://erdosproblems.ai/wiki/library/additive_bases/nathanson_2013_additive_systems_theorem_de_bruijn/lemma_2 https://erdosproblems.ai/wiki/library/additive_bases/nathanson_2013_additive_systems_theorem_de_bruijn/lemma_7 https://erdosproblems.ai/wiki/library/additive_bases/nathanson_2013_additive_systems_theorem_de_bruijn/theorem_1 https://erdosproblems.ai/wiki/library/additive_bases/nathanson_2013_additive_systems_theorem_de_bruijn/theorem_2 https://erdosproblems.ai/wiki/library/additive_bases/nathanson_2013_additive_systems_theorem_de_bruijn/theorem_3 https://erdosproblems.ai/wiki/library/additive_bases/nathanson_2014_paul_erdos_additive_bases https://erdosproblems.ai/wiki/library/additive_bases/nathanson_2014_paul_erdos_additive_bases/conjecture_p3 https://erdosproblems.ai/wiki/library/additive_bases/nathanson_2014_paul_erdos_additive_bases/definition_p3 https://erdosproblems.ai/wiki/library/additive_bases/nathanson_2014_paul_erdos_additive_bases/theorem_p2_essential_component https://erdosproblems.ai/wiki/library/additive_bases/nathanson_2014_paul_erdos_additive_bases/theorem_p4_minimal_basis_densities https://erdosproblems.ai/wiki/library/additive_bases/nathanson_2014_paul_erdos_additive_bases/theorem_p4_minimal_subbases https://erdosproblems.ai/wiki/library/additive_bases/obryant_2004_complete_annotated_bibliography_work_related_sidon https://erdosproblems.ai/wiki/library/additive_bases/obryant_2004_complete_annotated_bibliography_work_related_sidon/definition_1 https://erdosproblems.ai/wiki/library/additive_bases/obryant_2004_complete_annotated_bibliography_work_related_sidon/definition_3 https://erdosproblems.ai/wiki/library/additive_bases/obryant_2004_complete_annotated_bibliography_work_related_sidon/question_p17 https://erdosproblems.ai/wiki/library/additive_bases/obryant_2004_complete_annotated_bibliography_work_related_sidon/theorem_5 https://erdosproblems.ai/wiki/library/additive_bases/obryant_2004_complete_annotated_bibliography_work_related_sidon/theorem_6 https://erdosproblems.ai/wiki/library/additive_bases/obryant_2022_size_finite_sidon_sets https://erdosproblems.ai/wiki/library/additive_bases/obryant_2022_size_finite_sidon_sets/theorem_1 https://erdosproblems.ai/wiki/library/additive_bases/obryant_2022_size_finite_sidon_sets/theorem_2 https://erdosproblems.ai/wiki/library/additive_bases/obryant_2022_size_finite_sidon_sets/theorem_4 https://erdosproblems.ai/wiki/library/additive_bases/obryant_2026_thickness_infinite_generalized_sidon_sets_i https://erdosproblems.ai/wiki/library/additive_bases/obryant_2026_thickness_infinite_generalized_sidon_sets_ii https://erdosproblems.ai/wiki/library/additive_bases/pan_2011_integers_not_form https://erdosproblems.ai/wiki/library/additive_bases/pascadi_2025_exponents_distribution_primes_smooth_numbers https://erdosproblems.ai/wiki/library/additive_bases/pascadi_2025_exponents_distribution_primes_smooth_numbers/corollary_1_4 https://erdosproblems.ai/wiki/library/additive_bases/pascadi_2025_exponents_distribution_primes_smooth_numbers/corollary_1_6 https://erdosproblems.ai/wiki/library/additive_bases/pascadi_2025_exponents_distribution_primes_smooth_numbers/corollary_7_2 https://erdosproblems.ai/wiki/library/additive_bases/pascadi_2025_exponents_distribution_primes_smooth_numbers/definition_1_1 https://erdosproblems.ai/wiki/library/additive_bases/pascadi_2025_exponents_distribution_primes_smooth_numbers/theorem_1_3 https://erdosproblems.ai/wiki/library/additive_bases/pascadi_2025_exponents_distribution_primes_smooth_numbers/theorem_1_5 https://erdosproblems.ai/wiki/library/additive_bases/pascadi_2025_exponents_distribution_primes_smooth_numbers/theorem_7_1 https://erdosproblems.ai/wiki/library/additive_bases/pikhurko_2006_dense_edge_magic_graphs_thin_additive https://erdosproblems.ai/wiki/library/additive_bases/pikhurko_2006_dense_edge_magic_graphs_thin_additive/lemma_10 https://erdosproblems.ai/wiki/library/additive_bases/pikhurko_2006_dense_edge_magic_graphs_thin_additive/lemma_12 https://erdosproblems.ai/wiki/library/additive_bases/pikhurko_2006_dense_edge_magic_graphs_thin_additive/theorem_1 https://erdosproblems.ai/wiki/library/additive_bases/pikhurko_2006_dense_edge_magic_graphs_thin_additive/theorem_2 https://erdosproblems.ai/wiki/library/additive_bases/pikhurko_2006_dense_edge_magic_graphs_thin_additive/theorem_3 https://erdosproblems.ai/wiki/library/additive_bases/pikhurko_2006_dense_edge_magic_graphs_thin_additive/theorem_4 https://erdosproblems.ai/wiki/library/additive_bases/pikhurko_2006_dense_edge_magic_graphs_thin_additive/theorem_8 https://erdosproblems.ai/wiki/library/additive_bases/pilatte_2023_solution_erdos_sarkozy_sos_problem_asymptotic https://erdosproblems.ai/wiki/library/additive_bases/pilatte_2023_solution_erdos_sarkozy_sos_problem_asymptotic/theorem_5_4 https://erdosproblems.ai/wiki/library/additive_bases/plagne_2004_propos_de_la_fonction_d_erdos https://erdosproblems.ai/wiki/library/additive_bases/plagne_2004_propos_de_la_fonction_d_erdos/conjecture_2 https://erdosproblems.ai/wiki/library/additive_bases/plagne_2004_propos_de_la_fonction_d_erdos/inequality_1_7 https://erdosproblems.ai/wiki/library/additive_bases/plagne_2004_propos_de_la_fonction_d_erdos/lemma_26 https://erdosproblems.ai/wiki/library/additive_bases/plagne_2004_propos_de_la_fonction_d_erdos/theorem_1 https://erdosproblems.ai/wiki/library/additive_bases/plagne_2004_propos_de_la_fonction_d_erdos/theorem_3 https://erdosproblems.ai/wiki/library/additive_bases/plagne_nd_recent_progress_finite_b_h_g https://erdosproblems.ai/wiki/library/additive_bases/plagne_nd_recent_progress_finite_b_h_g/lower_bounds_p7 https://erdosproblems.ai/wiki/library/additive_bases/plagne_nd_recent_progress_finite_b_h_g/problem_2 https://erdosproblems.ai/wiki/library/additive_bases/plagne_nd_recent_progress_finite_b_h_g/problem_4 https://erdosproblems.ai/wiki/library/additive_bases/plagne_nd_recent_progress_finite_b_h_g/problem_6 https://erdosproblems.ai/wiki/library/additive_bases/plagne_nd_recent_progress_finite_b_h_g/problem_9 https://erdosproblems.ai/wiki/library/additive_bases/pliego_2024_erdos_turan_conjecture_growth_b_2 https://erdosproblems.ai/wiki/library/additive_bases/pliego_2024_erdos_turan_conjecture_growth_b_2/conjecture_1_1 https://erdosproblems.ai/wiki/library/additive_bases/pliego_2024_erdos_turan_conjecture_growth_b_2/conjecture_1_2 https://erdosproblems.ai/wiki/library/additive_bases/pliego_2024_erdos_turan_conjecture_growth_b_2/conjecture_p2 https://erdosproblems.ai/wiki/library/additive_bases/pliego_2024_erdos_turan_conjecture_growth_b_2/corollary_1_1 https://erdosproblems.ai/wiki/library/additive_bases/pliego_2024_erdos_turan_conjecture_growth_b_2/corollary_1_2 https://erdosproblems.ai/wiki/library/additive_bases/pliego_2024_erdos_turan_conjecture_growth_b_2/corollary_1_3 https://erdosproblems.ai/wiki/library/additive_bases/pliego_2024_erdos_turan_conjecture_growth_b_2/theorem_1_1 https://erdosproblems.ai/wiki/library/additive_bases/price_2026_counterexample_erdos_problem_346 https://erdosproblems.ai/wiki/library/additive_bases/price_2026_counterexample_erdos_problem_346/lemma_2 https://erdosproblems.ai/wiki/library/additive_bases/price_2026_counterexample_erdos_problem_346/theorem_1 https://erdosproblems.ai/wiki/library/additive_bases/rafik_2026_computational_evidence_erdos_problem_158_via https://erdosproblems.ai/wiki/library/additive_bases/rechnitzer_2026_first_128_digits_autoconvolution_inequality https://erdosproblems.ai/wiki/library/additive_bases/rechnitzer_2026_first_128_digits_autoconvolution_inequality/theorem_1 https://erdosproblems.ai/wiki/library/additive_bases/redman_2021_small_maximal_sidon_set_z_2 https://erdosproblems.ai/wiki/library/additive_bases/redman_2021_small_maximal_sidon_set_z_2/theorem_2_3 https://erdosproblems.ai/wiki/library/additive_bases/redman_2021_small_maximal_sidon_set_z_2/theorem_3_1 https://erdosproblems.ai/wiki/library/additive_bases/riblet_2026_existence_sidon_set_distinct_distance_constant https://erdosproblems.ai/wiki/library/additive_bases/riblet_2026_existence_sidon_set_distinct_distance_constant/corollary_3_4 https://erdosproblems.ai/wiki/library/additive_bases/riblet_2026_existence_sidon_set_distinct_distance_constant/corollary_6_4 https://erdosproblems.ai/wiki/library/additive_bases/riblet_2026_existence_sidon_set_distinct_distance_constant/theorem_1_1 https://erdosproblems.ai/wiki/library/additive_bases/riblet_2026_existence_sidon_set_distinct_distance_constant/theorem_1_2 https://erdosproblems.ai/wiki/library/additive_bases/riblet_2026_existence_sidon_set_distinct_distance_constant/theorem_1_4 https://erdosproblems.ai/wiki/library/additive_bases/riblet_2026_existence_sidon_set_distinct_distance_constant/theorem_5_1 https://erdosproblems.ai/wiki/library/additive_bases/riblet_2026_existence_sidon_set_distinct_distance_constant/theorem_6_1 https://erdosproblems.ai/wiki/library/additive_bases/riblet_2026_existence_sidon_set_distinct_distance_constant/theorem_6_2 https://erdosproblems.ai/wiki/library/additive_bases/riblet_2026_existence_sidon_set_distinct_distance_constant/theorem_6_3 https://erdosproblems.ai/wiki/library/additive_bases/romanoff_1934_uber_einige_satze_der_additiven https://erdosproblems.ai/wiki/library/additive_bases/romanoff_1934_uber_einige_satze_der_additiven/satz_i https://erdosproblems.ai/wiki/library/additive_bases/romanoff_1934_uber_einige_satze_der_additiven/satz_ii https://erdosproblems.ai/wiki/library/additive_bases/ruzsa_1985_note_additive_bases_integers https://erdosproblems.ai/wiki/library/additive_bases/ruzsa_1985_note_additive_bases_integers/conjecture_1 https://erdosproblems.ai/wiki/library/additive_bases/ruzsa_1985_note_additive_bases_integers/theorem_1 https://erdosproblems.ai/wiki/library/additive_bases/ruzsa_1985_note_additive_bases_integers/theorem_2 https://erdosproblems.ai/wiki/library/additive_bases/ruzsa_1985_note_additive_bases_integers/theorem_3 https://erdosproblems.ai/wiki/library/additive_bases/ruzsa_1990_just_basis https://erdosproblems.ai/wiki/library/additive_bases/ruzsa_1990_just_basis/lemma_2_2 https://erdosproblems.ai/wiki/library/additive_bases/ruzsa_1990_just_basis/theorem_1 https://erdosproblems.ai/wiki/library/additive_bases/ruzsa_1990_just_basis/theorem_2 https://erdosproblems.ai/wiki/library/additive_bases/ruzsa_1998_additive_completion_primes https://erdosproblems.ai/wiki/library/additive_bases/ruzsa_1998_small_maximal_sidon_set https://erdosproblems.ai/wiki/library/additive_bases/ruzsa_1998_small_maximal_sidon_set/lemma_p56 https://erdosproblems.ai/wiki/library/additive_bases/ruzsa_1998_small_maximal_sidon_set/theorem_p55 https://erdosproblems.ai/wiki/library/additive_bases/ruzsajr_1972_problem_p https://erdosproblems.ai/wiki/library/additive_bases/ruzsajr_1972_problem_p/theorem_p309 https://erdosproblems.ai/wiki/library/additive_bases/ruzsajr_1972_problem_p/theorem_p309_complement_lower_bound https://erdosproblems.ai/wiki/library/additive_bases/sarkozy_1997_additive_representation_functions https://erdosproblems.ai/wiki/library/additive_bases/sarkozy_1997_additive_representation_functions/problem_5_3 https://erdosproblems.ai/wiki/library/additive_bases/sarkozy_1997_additive_representation_functions/theorem_4_2 https://erdosproblems.ai/wiki/library/additive_bases/sarkozy_1997_additive_representation_functions/theorem_4_3 https://erdosproblems.ai/wiki/library/additive_bases/saxton_2015_hypergraph_containers https://erdosproblems.ai/wiki/library/additive_bases/saxton_2015_hypergraph_containers/corollary_3_6 https://erdosproblems.ai/wiki/library/additive_bases/saxton_2015_hypergraph_containers/theorem_2_1 https://erdosproblems.ai/wiki/library/additive_bases/saxton_2015_hypergraph_containers/theorem_2_11 https://erdosproblems.ai/wiki/library/additive_bases/saxton_2015_hypergraph_containers/theorem_2_3 https://erdosproblems.ai/wiki/library/additive_bases/saxton_2015_hypergraph_containers/theorem_3_4 https://erdosproblems.ai/wiki/library/additive_bases/shparlinski_2012_modular_hyperbolas https://erdosproblems.ai/wiki/library/additive_bases/shparlinski_2012_modular_hyperbolas/theorem_13 https://erdosproblems.ai/wiki/library/additive_bases/silva_2005_maximal_sidon_sets_matroids https://erdosproblems.ai/wiki/library/additive_bases/silva_2005_maximal_sidon_sets_matroids/theorem_3 https://erdosproblems.ai/wiki/library/additive_bases/silva_2005_maximal_sidon_sets_matroids/theorem_4 https://erdosproblems.ai/wiki/library/additive_bases/singer_1938_theorem_finite_projective_geometry_some_applications_number_theory https://erdosproblems.ai/wiki/library/additive_bases/singer_1938_theorem_finite_projective_geometry_some_applications_number_theory/theorem_p379 https://erdosproblems.ai/wiki/library/additive_bases/singer_1938_theorem_finite_projective_geometry_some_applications_number_theory/theorem_p380 https://erdosproblems.ai/wiki/library/additive_bases/svyable_2026_infinite_deletions_strongly_minimal_additive_bases https://erdosproblems.ai/wiki/library/additive_bases/svyable_2026_infinite_deletions_strongly_minimal_additive_bases/lemma_8 https://erdosproblems.ai/wiki/library/additive_bases/svyable_2026_infinite_deletions_strongly_minimal_additive_bases/lemma_9 https://erdosproblems.ai/wiki/library/additive_bases/svyable_2026_infinite_deletions_strongly_minimal_additive_bases/main_theorem_6 https://erdosproblems.ai/wiki/library/additive_bases/svyable_2026_infinite_deletions_strongly_minimal_additive_bases/proposition_12 https://erdosproblems.ai/wiki/library/additive_bases/svyable_2026_infinite_deletions_strongly_minimal_additive_bases/proposition_7 https://erdosproblems.ai/wiki/library/additive_bases/svyable_2026_infinite_deletions_strongly_minimal_additive_bases/theorem_11 https://erdosproblems.ai/wiki/library/additive_bases/tafula_2026_infinite_sidon_type_sets_zero_sum https://erdosproblems.ai/wiki/library/additive_bases/tafula_2026_infinite_sidon_type_sets_zero_sum/theorem_1_1 https://erdosproblems.ai/wiki/library/additive_bases/tafula_2026_infinite_sidon_type_sets_zero_sum/theorem_1_2 https://erdosproblems.ai/wiki/library/additive_bases/thornburgh_2024_uniform_exclude_distributions_sidon_sets https://erdosproblems.ai/wiki/library/additive_bases/thornburgh_2024_uniform_exclude_distributions_sidon_sets/theorem_1_4 https://erdosproblems.ai/wiki/library/additive_bases/thornburgh_2024_uniform_exclude_distributions_sidon_sets/theorem_1_5 https://erdosproblems.ai/wiki/library/additive_bases/thornburgh_2024_uniform_exclude_distributions_sidon_sets/theorem_1_6 https://erdosproblems.ai/wiki/library/additive_bases/turturean_2026_negative_answer_erdos_problem_870 https://erdosproblems.ai/wiki/library/additive_bases/turturean_2026_negative_answer_erdos_problem_870/lemma_5_1 https://erdosproblems.ai/wiki/library/additive_bases/turturean_2026_negative_answer_erdos_problem_870/proposition_2_3 https://erdosproblems.ai/wiki/library/additive_bases/turturean_2026_negative_answer_erdos_problem_870/proposition_3_4 https://erdosproblems.ai/wiki/library/additive_bases/turturean_2026_negative_answer_erdos_problem_870/proposition_4_1 https://erdosproblems.ai/wiki/library/additive_bases/turturean_2026_negative_answer_erdos_problem_870/proposition_5_2 https://erdosproblems.ai/wiki/library/additive_bases/turturean_2026_negative_answer_erdos_problem_870/theorem_1_1 https://erdosproblems.ai/wiki/library/additive_bases/white_2024_optimal_l2_autoconvolution_inequality https://erdosproblems.ai/wiki/library/additive_bases/yu_2008_note_b_2_g_sets https://erdosproblems.ai/wiki/library/additive_bases/yu_chen_2026_erdos_problem_354_i_strong_completeness_two_dyadic_floor_sequences https://erdosproblems.ai/wiki/library/additive_bases/yu_chen_2026_erdos_problem_354_i_strong_completeness_two_dyadic_floor_sequences/theorem https://erdosproblems.ai/wiki/library/additive_bases/zhai_1999_additive_completion_kth_powers https://erdosproblems.ai/wiki/library/additive_bases/zhai_1999_additive_completion_kth_powers/corollary_p293 https://erdosproblems.ai/wiki/library/additive_bases/zhai_1999_additive_completion_kth_powers/proposition_p292 https://erdosproblems.ai/wiki/library/additive_bases/zhai_1999_additive_completion_kth_powers/theorem_1 https://erdosproblems.ai/wiki/library/additive_bases/zhai_1999_additive_completion_kth_powers/theorem_2 https://erdosproblems.ai/wiki/library/additive_bases/zhai_1999_additive_completion_kth_powers/theorem_3 https://erdosproblems.ai/wiki/library/additive_combinatorics https://erdosproblems.ai/wiki/library/additive_combinatorics/ackelsberg_2026_inverse_theorem_sumsets_sets_positive_density https://erdosproblems.ai/wiki/library/additive_combinatorics/adamczewski_2026_erdos1 https://erdosproblems.ai/wiki/library/additive_combinatorics/adamczewski_2026_erdos1/binary_expansion https://erdosproblems.ai/wiki/library/additive_combinatorics/adamczewski_2026_erdos1/corollary_2_2 https://erdosproblems.ai/wiki/library/additive_combinatorics/adamczewski_2026_erdos1/digit_injectivity https://erdosproblems.ai/wiki/library/additive_combinatorics/adamczewski_2026_erdos1/lattice_reduction https://erdosproblems.ai/wiki/library/additive_combinatorics/adamczewski_2026_erdos1/lemma_2_1 https://erdosproblems.ai/wiki/library/additive_combinatorics/adamczewski_2026_erdos1/lemma_2_3 https://erdosproblems.ai/wiki/library/additive_combinatorics/adamczewski_2026_erdos1/lemma_2_4 https://erdosproblems.ai/wiki/library/additive_combinatorics/adamczewski_2026_erdos1/lemma_4_1 https://erdosproblems.ai/wiki/library/additive_combinatorics/adamczewski_2026_erdos1/lemma_5_1 https://erdosproblems.ai/wiki/library/additive_combinatorics/adamczewski_2026_erdos1/normal_coefficients https://erdosproblems.ai/wiki/library/additive_combinatorics/adamczewski_2026_erdos1/proposition_1_1 https://erdosproblems.ai/wiki/library/additive_combinatorics/adamczewski_2026_erdos1/proposition_3_1 https://erdosproblems.ai/wiki/library/additive_combinatorics/adamczewski_2026_erdos1/proposition_3_2 https://erdosproblems.ai/wiki/library/additive_combinatorics/adamczewski_2026_erdos1/proposition_5_2 https://erdosproblems.ai/wiki/library/additive_combinatorics/adamczewski_2026_erdos1/theorem_7_1 https://erdosproblems.ai/wiki/library/additive_combinatorics/adenwalla_2022_avoiding_monotone_arithmetic_progressions_permutations_integers https://erdosproblems.ai/wiki/library/additive_combinatorics/adenwalla_2023_generalisation_result_monotone_arithmetic_progressions_permutations https://erdosproblems.ai/wiki/library/additive_combinatorics/agrawal_et_al_2025_more_sum_product_problem_integers_few_prime_factors https://erdosproblems.ai/wiki/library/additive_combinatorics/alon_1989_ascending_waves https://erdosproblems.ai/wiki/library/additive_combinatorics/alon_1989_ascending_waves/theorem_1_1 https://erdosproblems.ai/wiki/library/additive_combinatorics/alon_1989_ascending_waves/theorem_2_1 https://erdosproblems.ai/wiki/library/additive_combinatorics/alon_1990_sum_free_subsets https://erdosproblems.ai/wiki/library/additive_combinatorics/alon_1990_sum_free_subsets/construction_p15 https://erdosproblems.ai/wiki/library/additive_combinatorics/alon_1990_sum_free_subsets/proposition_1_1 https://erdosproblems.ai/wiki/library/additive_combinatorics/alon_1990_sum_free_subsets/proposition_1_2 https://erdosproblems.ai/wiki/library/additive_combinatorics/alon_1990_sum_free_subsets/proposition_4_1_prime https://erdosproblems.ai/wiki/library/additive_combinatorics/alon_1990_sum_free_subsets/theorem_1_3 https://erdosproblems.ai/wiki/library/additive_combinatorics/alon_1995_adding_distinct_congruence_classes_modulo_prime https://erdosproblems.ai/wiki/library/additive_combinatorics/alon_1995_adding_distinct_congruence_classes_modulo_prime/theorem_1 https://erdosproblems.ai/wiki/library/additive_combinatorics/alon_1995_adding_distinct_congruence_classes_modulo_prime/theorem_2 https://erdosproblems.ai/wiki/library/additive_combinatorics/alon_1995_adding_distinct_congruence_classes_modulo_prime/theorem_3 https://erdosproblems.ai/wiki/library/additive_combinatorics/alon_1996_polynomial_method_restricted_sums_congruence_classes https://erdosproblems.ai/wiki/library/additive_combinatorics/alon_1996_polynomial_method_restricted_sums_congruence_classes/proposition_1_2 https://erdosproblems.ai/wiki/library/additive_combinatorics/alon_1996_polynomial_method_restricted_sums_congruence_classes/theorem_1_3 https://erdosproblems.ai/wiki/library/additive_combinatorics/alon_1996_polynomial_method_restricted_sums_congruence_classes/theorem_2_1 https://erdosproblems.ai/wiki/library/additive_combinatorics/alon_1996_polynomial_method_restricted_sums_congruence_classes/theorem_3_2 https://erdosproblems.ai/wiki/library/additive_combinatorics/alon_1996_polynomial_method_restricted_sums_congruence_classes/theorem_3_3 https://erdosproblems.ai/wiki/library/additive_combinatorics/alon_2009_discrete_kakeya_type_problems_small_bases https://erdosproblems.ai/wiki/library/additive_combinatorics/alon_2009_discrete_kakeya_type_problems_small_bases/corollary_1_5 https://erdosproblems.ai/wiki/library/additive_combinatorics/alon_2009_discrete_kakeya_type_problems_small_bases/theorem_1_2 https://erdosproblems.ai/wiki/library/additive_combinatorics/alon_2009_discrete_kakeya_type_problems_small_bases/theorem_1_3 https://erdosproblems.ai/wiki/library/additive_combinatorics/alon_2009_discrete_kakeya_type_problems_small_bases/theorem_1_4 https://erdosproblems.ai/wiki/library/additive_combinatorics/alon_2009_discrete_kakeya_type_problems_small_bases/theorem_1_6 https://erdosproblems.ai/wiki/library/additive_combinatorics/alon_2020_sums_products_ratios_along_edges_graph https://erdosproblems.ai/wiki/library/additive_combinatorics/alon_2020_sums_products_ratios_along_edges_graph/conjecture_2 https://erdosproblems.ai/wiki/library/additive_combinatorics/alon_2020_sums_products_ratios_along_edges_graph/theorem_10 https://erdosproblems.ai/wiki/library/additive_combinatorics/alon_2020_sums_products_ratios_along_edges_graph/theorem_3 https://erdosproblems.ai/wiki/library/additive_combinatorics/alon_2020_sums_products_ratios_along_edges_graph/theorem_4 https://erdosproblems.ai/wiki/library/additive_combinatorics/alon_2020_sums_products_ratios_along_edges_graph/theorem_5 https://erdosproblems.ai/wiki/library/additive_combinatorics/alon_2020_sums_products_ratios_along_edges_graph/theorem_7 https://erdosproblems.ai/wiki/library/additive_combinatorics/alon_2020_sums_products_ratios_along_edges_graph/theorem_9 https://erdosproblems.ai/wiki/library/additive_combinatorics/alon_2025_random_cayley_graphs_random_sumsets https://erdosproblems.ai/wiki/library/additive_combinatorics/alon_2025_random_cayley_graphs_random_sumsets/conjecture_2 https://erdosproblems.ai/wiki/library/additive_combinatorics/alon_2025_random_cayley_graphs_random_sumsets/theorem_4 https://erdosproblems.ai/wiki/library/additive_combinatorics/alon_2025_random_cayley_graphs_random_sumsets/theorem_5 https://erdosproblems.ai/wiki/library/additive_combinatorics/alon_2025_random_cayley_graphs_random_sumsets/theorem_6 https://erdosproblems.ai/wiki/library/additive_combinatorics/alon_2025_random_cayley_graphs_random_sumsets/theorem_7 https://erdosproblems.ai/wiki/library/additive_combinatorics/alon_2025_random_cayley_graphs_random_sumsets/theorem_8 https://erdosproblems.ai/wiki/library/additive_combinatorics/anderson_2016_vectors_matroids_over_tracts https://erdosproblems.ai/wiki/library/additive_combinatorics/anderson_2016_vectors_matroids_over_tracts/proposition_2_19 https://erdosproblems.ai/wiki/library/additive_combinatorics/anderson_2016_vectors_matroids_over_tracts/proposition_5_2 https://erdosproblems.ai/wiki/library/additive_combinatorics/anderson_2016_vectors_matroids_over_tracts/proposition_5_3 https://erdosproblems.ai/wiki/library/additive_combinatorics/anderson_2016_vectors_matroids_over_tracts/theorem_2_18 https://erdosproblems.ai/wiki/library/additive_combinatorics/ardal_2011_chaotic_orderings_rationals_reals https://erdosproblems.ai/wiki/library/additive_combinatorics/ardal_2011_chaotic_orderings_rationals_reals/remark_1 https://erdosproblems.ai/wiki/library/additive_combinatorics/ardal_2011_chaotic_orderings_rationals_reals/theorem_2_2 https://erdosproblems.ai/wiki/library/additive_combinatorics/ardal_2011_chaotic_orderings_rationals_reals/theorem_3_1 https://erdosproblems.ai/wiki/library/additive_combinatorics/ardal_2011_chaotic_orderings_rationals_reals/theorem_4_1 https://erdosproblems.ai/wiki/library/additive_combinatorics/bae_2026_resolution_erdos_problem_190_via_erdos https://erdosproblems.ai/wiki/library/additive_combinatorics/bakkaoui_2026_dissociated_interval_counterexample https://erdosproblems.ai/wiki/library/additive_combinatorics/bakkaoui_2026_dissociated_interval_counterexample/bakkaoui_2026_dissociated_interval_counterexample https://erdosproblems.ai/wiki/library/additive_combinatorics/bakkaoui_2026_dissociated_interval_counterexample/evidence https://erdosproblems.ai/wiki/library/additive_combinatorics/bakkaoui_2026_dissociated_interval_counterexample/evidence/verify https://erdosproblems.ai/wiki/library/additive_combinatorics/bakkaoui_2026_dissociated_interval_counterexample/evidence/verify/interval_not_extremal_review https://erdosproblems.ai/wiki/library/additive_combinatorics/bakkaoui_2026_dissociated_interval_counterexample/interval_not_extremal https://erdosproblems.ai/wiki/library/additive_combinatorics/balog_wooley_2015_low_energy_decomposition_theorem https://erdosproblems.ai/wiki/library/additive_combinatorics/balog_wooley_2015_low_energy_decomposition_theorem/theorem_1_1 https://erdosproblems.ai/wiki/library/additive_combinatorics/balog_wooley_2015_low_energy_decomposition_theorem/theorem_1_2 https://erdosproblems.ai/wiki/library/additive_combinatorics/balog_wooley_2015_low_energy_decomposition_theorem/theorem_1_3 https://erdosproblems.ai/wiki/library/additive_combinatorics/balog_wooley_2015_low_energy_decomposition_theorem/theorem_1_4 https://erdosproblems.ai/wiki/library/additive_combinatorics/balogh_2015_number_maximal_sum_free_subsets_integers https://erdosproblems.ai/wiki/library/additive_combinatorics/balogh_2015_number_maximal_sum_free_subsets_integers/question_1_2 https://erdosproblems.ai/wiki/library/additive_combinatorics/balogh_2015_number_maximal_sum_free_subsets_integers/theorem_1_1 https://erdosproblems.ai/wiki/library/additive_combinatorics/balogh_2018_sharp_bound_number_maximal_sum_free_subsets_integers https://erdosproblems.ai/wiki/library/additive_combinatorics/balogh_2018_sharp_bound_number_maximal_sum_free_subsets_integers/theorem_1_1 https://erdosproblems.ai/wiki/library/additive_combinatorics/baltz_2000_probabilistic_construction_small_strongly_sum_free https://erdosproblems.ai/wiki/library/additive_combinatorics/baltz_2000_probabilistic_construction_small_strongly_sum_free/corollary_3 https://erdosproblems.ai/wiki/library/additive_combinatorics/baltz_2000_probabilistic_construction_small_strongly_sum_free/theorem_2 https://erdosproblems.ai/wiki/library/additive_combinatorics/basit_2019_improved_sum_product_bound_quaternions https://erdosproblems.ai/wiki/library/additive_combinatorics/basit_2019_improved_sum_product_bound_quaternions/theorem_1_2 https://erdosproblems.ai/wiki/library/additive_combinatorics/baumgartner_1975_partitioning_vector_spaces https://erdosproblems.ai/wiki/library/additive_combinatorics/baumgartner_1975_partitioning_vector_spaces/main_theorem https://erdosproblems.ai/wiki/library/additive_combinatorics/baumgartner_1975_partitioning_vector_spaces/remark_p233 https://erdosproblems.ai/wiki/library/additive_combinatorics/bedert_2023_unique_sums_abelian_groups https://erdosproblems.ai/wiki/library/additive_combinatorics/bedert_2024_graham_s_rearrangement_conjecture_beyond_rectification https://erdosproblems.ai/wiki/library/additive_combinatorics/bedert_2024_graham_s_rearrangement_conjecture_beyond_rectification/theorem_1_2 https://erdosproblems.ai/wiki/library/additive_combinatorics/bedert_2025_graham_s_rearrangement_conjecture_over https://erdosproblems.ai/wiki/library/additive_combinatorics/bedert_2025_graham_s_rearrangement_conjecture_over/theorem_1_4 https://erdosproblems.ai/wiki/library/additive_combinatorics/bedert_2025_graham_s_rearrangement_conjecture_over/theorem_7_1 https://erdosproblems.ai/wiki/library/additive_combinatorics/bedert_2025_large_sum_free_subsets_sets_integers https://erdosproblems.ai/wiki/library/additive_combinatorics/bedert_2025_large_sum_free_subsets_sets_integers/theorem_1_2 https://erdosproblems.ai/wiki/library/additive_combinatorics/beker_2025_erdos_moser_sum_free_set_problem https://erdosproblems.ai/wiki/library/additive_combinatorics/beker_2025_erdos_moser_sum_free_set_problem/proposition_4_1 https://erdosproblems.ai/wiki/library/additive_combinatorics/beker_2025_erdos_moser_sum_free_set_problem/theorem_1_1 https://erdosproblems.ai/wiki/library/additive_combinatorics/beker_2025_erdos_moser_sum_free_set_problem/theorem_1_2 https://erdosproblems.ai/wiki/library/additive_combinatorics/beker_2025_erdos_moser_sum_free_set_problem/theorem_3_1 https://erdosproblems.ai/wiki/library/additive_combinatorics/berlekamp_1968_construction_partitions_which_avoid_long_arithmetic https://erdosproblems.ai/wiki/library/additive_combinatorics/berlekamp_1968_construction_partitions_which_avoid_long_arithmetic/theorem_1 https://erdosproblems.ai/wiki/library/additive_combinatorics/berlekamp_1968_construction_partitions_which_avoid_long_arithmetic/theorem_2 https://erdosproblems.ai/wiki/library/additive_combinatorics/blanco_santos_2014_lattice_3_polytopes_few_lattice_points https://erdosproblems.ai/wiki/library/additive_combinatorics/blanco_santos_2014_lattice_3_polytopes_few_lattice_points/proposition_2_2 https://erdosproblems.ai/wiki/library/additive_combinatorics/blanco_santos_2014_lattice_3_polytopes_few_lattice_points/theorem_1_1 https://erdosproblems.ai/wiki/library/additive_combinatorics/blanco_santos_2014_lattice_3_polytopes_few_lattice_points/theorem_1_2 https://erdosproblems.ai/wiki/library/additive_combinatorics/blanco_santos_2014_lattice_3_polytopes_few_lattice_points/theorem_1_3 https://erdosproblems.ai/wiki/library/additive_combinatorics/bloom_2020_breaking_logarithmic_barrier_roth_s_theorem https://erdosproblems.ai/wiki/library/additive_combinatorics/bloom_2020_breaking_logarithmic_barrier_roth_s_theorem/corollary_1_2 https://erdosproblems.ai/wiki/library/additive_combinatorics/bloom_2020_breaking_logarithmic_barrier_roth_s_theorem/corollary_1_3 https://erdosproblems.ai/wiki/library/additive_combinatorics/bloom_2020_breaking_logarithmic_barrier_roth_s_theorem/theorem_1_1 https://erdosproblems.ai/wiki/library/additive_combinatorics/bloom_2023_improvement_kelley_meka_bounds_three_term https://erdosproblems.ai/wiki/library/additive_combinatorics/bloom_2023_improvement_kelley_meka_bounds_three_term/theorem_1 https://erdosproblems.ai/wiki/library/additive_combinatorics/bloom_2026_sidon_complement_constructions https://erdosproblems.ai/wiki/library/additive_combinatorics/bloom_2026_sidon_complement_constructions/baire_construction https://erdosproblems.ai/wiki/library/additive_combinatorics/bloom_2026_sidon_complement_constructions/bloom_2026_sidon_complement_constructions https://erdosproblems.ai/wiki/library/additive_combinatorics/bloom_2026_sidon_complement_constructions/diagonal_construction https://erdosproblems.ai/wiki/library/additive_combinatorics/bloom_2026_sidon_complement_constructions/factorial_construction https://erdosproblems.ai/wiki/library/additive_combinatorics/bloom_2026_sidon_complement_constructions/lacunary_sidon https://erdosproblems.ai/wiki/library/additive_combinatorics/bloom_2026_sum_product_conjecture_is_false_real https://erdosproblems.ai/wiki/library/additive_combinatorics/bode_harborth_2005_directed_paths_diagonals_within_polygons https://erdosproblems.ai/wiki/library/additive_combinatorics/bode_harborth_2005_directed_paths_diagonals_within_polygons/theorem_1 https://erdosproblems.ai/wiki/library/additive_combinatorics/bode_harborth_2005_directed_paths_diagonals_within_polygons/theorem_2 https://erdosproblems.ai/wiki/library/additive_combinatorics/bohman_1997_construction_sets_integers_distinct_subset_sums https://erdosproblems.ai/wiki/library/additive_combinatorics/bohman_1997_construction_sets_integers_distinct_subset_sums/lemma_1_1 https://erdosproblems.ai/wiki/library/additive_combinatorics/bohman_1997_construction_sets_integers_distinct_subset_sums/theorem_2_1 https://erdosproblems.ai/wiki/library/additive_combinatorics/bohman_1997_construction_sets_integers_distinct_subset_sums/theorem_2_2 https://erdosproblems.ai/wiki/library/additive_combinatorics/bohman_1997_construction_sets_integers_distinct_subset_sums/theorem_p1 https://erdosproblems.ai/wiki/library/additive_combinatorics/bosznay_1989_lower_estimation_non_averaging_sets https://erdosproblems.ai/wiki/library/additive_combinatorics/bosznay_1989_lower_estimation_non_averaging_sets/theorem https://erdosproblems.ai/wiki/library/additive_combinatorics/bourgain_1997_estimates_related_sumfree_subsets_sets_integers https://erdosproblems.ai/wiki/library/additive_combinatorics/bourgain_1997_estimates_related_sumfree_subsets_sets_integers/display_8_4 https://erdosproblems.ai/wiki/library/additive_combinatorics/bourgain_1997_estimates_related_sumfree_subsets_sets_integers/proposition_1_3 https://erdosproblems.ai/wiki/library/additive_combinatorics/bourgain_1997_estimates_related_sumfree_subsets_sets_integers/proposition_1_4 https://erdosproblems.ai/wiki/library/additive_combinatorics/bourgain_1997_estimates_related_sumfree_subsets_sets_integers/proposition_1_7 https://erdosproblems.ai/wiki/library/additive_combinatorics/bourgain_chang_2009_sum_product_theorems_algebraic_number_fields https://erdosproblems.ai/wiki/library/additive_combinatorics/bourgain_chang_2009_sum_product_theorems_algebraic_number_fields/corollary_12 https://erdosproblems.ai/wiki/library/additive_combinatorics/bourgain_chang_2009_sum_product_theorems_algebraic_number_fields/corollary_14 https://erdosproblems.ai/wiki/library/additive_combinatorics/bourgain_chang_2009_sum_product_theorems_algebraic_number_fields/proposition_10 https://erdosproblems.ai/wiki/library/additive_combinatorics/bourgain_chang_2009_sum_product_theorems_algebraic_number_fields/proposition_13 https://erdosproblems.ai/wiki/library/additive_combinatorics/bourgain_chang_2009_sum_product_theorems_algebraic_number_fields/proposition_6 https://erdosproblems.ai/wiki/library/additive_combinatorics/bourgain_chang_2009_sum_product_theorems_algebraic_number_fields/theorem_11 https://erdosproblems.ai/wiki/library/additive_combinatorics/brown_1990_quasi_progressions_descending_waves https://erdosproblems.ai/wiki/library/additive_combinatorics/brown_1990_quasi_progressions_descending_waves/corollary_1 https://erdosproblems.ai/wiki/library/additive_combinatorics/brown_1990_quasi_progressions_descending_waves/corollary_2 https://erdosproblems.ai/wiki/library/additive_combinatorics/brown_1990_quasi_progressions_descending_waves/definition_p2 https://erdosproblems.ai/wiki/library/additive_combinatorics/brown_1990_quasi_progressions_descending_waves/question_p12 https://erdosproblems.ai/wiki/library/additive_combinatorics/brown_1990_quasi_progressions_descending_waves/theorem_1 https://erdosproblems.ai/wiki/library/additive_combinatorics/brown_1990_quasi_progressions_descending_waves/theorem_2 https://erdosproblems.ai/wiki/library/additive_combinatorics/brown_1990_quasi_progressions_descending_waves/theorem_3 https://erdosproblems.ai/wiki/library/additive_combinatorics/brown_1990_quasi_progressions_descending_waves/theorem_4 https://erdosproblems.ai/wiki/library/additive_combinatorics/brown_1990_quasi_progressions_descending_waves/theorem_5 https://erdosproblems.ai/wiki/library/additive_combinatorics/brown_1990_quasi_progressions_descending_waves/theorem_6 https://erdosproblems.ai/wiki/library/additive_combinatorics/brown_1990_quasi_progressions_descending_waves/theorem_7 https://erdosproblems.ai/wiki/library/additive_combinatorics/brown_1990_quasi_progressions_descending_waves/theorem_8 https://erdosproblems.ai/wiki/library/additive_combinatorics/brown_1990_quasi_progressions_descending_waves/theorem_9 https://erdosproblems.ai/wiki/library/additive_combinatorics/candela_helfgott_2014_dimension_additive_sets https://erdosproblems.ai/wiki/library/additive_combinatorics/chang_2003_erdos_szemeredi_problem_sum_set_product_set https://erdosproblems.ai/wiki/library/additive_combinatorics/chang_2003_erdos_szemeredi_problem_sum_set_product_set/theorem_1 https://erdosproblems.ai/wiki/library/additive_combinatorics/chang_2003_erdos_szemeredi_problem_sum_set_product_set/theorem_2 https://erdosproblems.ai/wiki/library/additive_combinatorics/chang_2003_erdos_szemeredi_problem_sum_set_product_set/theorem_3 https://erdosproblems.ai/wiki/library/additive_combinatorics/chen_2015_conjecture_sarkozy_szemeredi https://erdosproblems.ai/wiki/library/additive_combinatorics/choi_1974_extremal_problem_number_theory https://erdosproblems.ai/wiki/library/additive_combinatorics/choi_1974_extremal_problem_number_theory/estimate_1 https://erdosproblems.ai/wiki/library/additive_combinatorics/choi_1975_additive_multiplicative_problems_number_theory https://erdosproblems.ai/wiki/library/additive_combinatorics/choi_1975_additive_multiplicative_problems_number_theory/theorem_5 https://erdosproblems.ai/wiki/library/additive_combinatorics/choi_1975_additive_multiplicative_problems_number_theory/theorem_6 https://erdosproblems.ai/wiki/library/additive_combinatorics/choi_1975_additive_multiplicative_problems_number_theory/theorem_7 https://erdosproblems.ai/wiki/library/additive_combinatorics/choi_1975_additive_multiplicative_problems_number_theory/theorem_8 https://erdosproblems.ai/wiki/library/additive_combinatorics/choi_1975_additive_multiplicative_problems_number_theory/theorems_1_4 https://erdosproblems.ai/wiki/library/additive_combinatorics/choi_1975_sum_free_subsequences https://erdosproblems.ai/wiki/library/additive_combinatorics/choi_1975_sum_free_subsequences/lemma https://erdosproblems.ai/wiki/library/additive_combinatorics/choi_1975_sum_free_subsequences/remark_p313 https://erdosproblems.ai/wiki/library/additive_combinatorics/choi_1975_sum_free_subsequences/theorem https://erdosproblems.ai/wiki/library/additive_combinatorics/cipollini_2026_sharp_5_8_bound_erdos_sos https://erdosproblems.ai/wiki/library/additive_combinatorics/cipollini_2026_sharp_5_8_bound_erdos_sos/theorem_1_1 https://erdosproblems.ai/wiki/library/additive_combinatorics/conlon_2023_homogeneous_structures_subset_sums_non_averaging https://erdosproblems.ai/wiki/library/additive_combinatorics/conlon_2023_homogeneous_structures_subset_sums_non_averaging/theorem_1_6 https://erdosproblems.ai/wiki/library/additive_combinatorics/coppersmith_phillips_1996_question_erdos_subsequence_sums https://erdosproblems.ai/wiki/library/additive_combinatorics/coppersmith_phillips_1996_question_erdos_subsequence_sums/lemma_1_1 https://erdosproblems.ai/wiki/library/additive_combinatorics/coppersmith_phillips_1996_question_erdos_subsequence_sums/theorem_2_1 https://erdosproblems.ai/wiki/library/additive_combinatorics/coppersmith_phillips_1996_question_erdos_subsequence_sums/theorem_3_7 https://erdosproblems.ai/wiki/library/additive_combinatorics/costa_2020_new_results_about_conjecture_brian_alspach https://erdosproblems.ai/wiki/library/additive_combinatorics/costa_2020_new_results_about_conjecture_brian_alspach/corollary_2_5 https://erdosproblems.ai/wiki/library/additive_combinatorics/costa_2020_new_results_about_conjecture_brian_alspach/corollary_3_2 https://erdosproblems.ai/wiki/library/additive_combinatorics/costa_2020_new_results_about_conjecture_brian_alspach/corollary_4_3 https://erdosproblems.ai/wiki/library/additive_combinatorics/costa_2020_new_results_about_conjecture_brian_alspach/corollary_4_4 https://erdosproblems.ai/wiki/library/additive_combinatorics/costa_2020_new_results_about_conjecture_brian_alspach/proposition_4_2 https://erdosproblems.ai/wiki/library/additive_combinatorics/costa_2020_new_results_about_conjecture_brian_alspach/theorem_2_4 https://erdosproblems.ai/wiki/library/additive_combinatorics/costa_2020_new_results_about_conjecture_brian_alspach/theorem_3_1 https://erdosproblems.ai/wiki/library/additive_combinatorics/costa_2026_new_bounds_weak_sequenceability https://erdosproblems.ai/wiki/library/additive_combinatorics/costa_2026_new_bounds_weak_sequenceability/theorem_1_3 https://erdosproblems.ai/wiki/library/additive_combinatorics/costa_et_al_2021_variations_erdos_distinct_sums_problem https://erdosproblems.ai/wiki/library/additive_combinatorics/cushman_2025_note_sum_product_problem_convex_sumset https://erdosproblems.ai/wiki/library/additive_combinatorics/dadderio_moci_2011_arithmetic_matroids_tutte_polynomial_toric_arrangements https://erdosproblems.ai/wiki/library/additive_combinatorics/dadderio_moci_2011_arithmetic_matroids_tutte_polynomial_toric_arrangements/definition_p4 https://erdosproblems.ai/wiki/library/additive_combinatorics/dadderio_moci_2011_arithmetic_matroids_tutte_polynomial_toric_arrangements/definition_p6 https://erdosproblems.ai/wiki/library/additive_combinatorics/dadderio_moci_2011_arithmetic_matroids_tutte_polynomial_toric_arrangements/theorem_2_2 https://erdosproblems.ai/wiki/library/additive_combinatorics/dadderio_moci_2011_arithmetic_matroids_tutte_polynomial_toric_arrangements/theorem_7_2 https://erdosproblems.ai/wiki/library/additive_combinatorics/dash_et_al_2016_continuous_knapsack_set https://erdosproblems.ai/wiki/library/additive_combinatorics/dash_et_al_2016_continuous_knapsack_set/lemma_2_8 https://erdosproblems.ai/wiki/library/additive_combinatorics/dash_et_al_2016_continuous_knapsack_set/proposition_5_4 https://erdosproblems.ai/wiki/library/additive_combinatorics/dash_et_al_2016_continuous_knapsack_set/theorem_2_6 https://erdosproblems.ai/wiki/library/additive_combinatorics/dash_et_al_2016_continuous_knapsack_set/theorem_2_9 https://erdosproblems.ai/wiki/library/additive_combinatorics/dash_et_al_2016_continuous_knapsack_set/theorem_3_11 https://erdosproblems.ai/wiki/library/additive_combinatorics/dash_et_al_2016_continuous_knapsack_set/theorem_4_4 https://erdosproblems.ai/wiki/library/additive_combinatorics/dash_et_al_2016_continuous_knapsack_set/theorem_5_1 https://erdosproblems.ai/wiki/library/additive_combinatorics/davis_nd_permutations_containing_no_long_arithmetic_progressions https://erdosproblems.ai/wiki/library/additive_combinatorics/deshouillers_1995_additive_problem_erdos_straus https://erdosproblems.ai/wiki/library/additive_combinatorics/deshouillers_1995_additive_problem_erdos_straus/theorem_1 https://erdosproblems.ai/wiki/library/additive_combinatorics/deshouillers_1995_additive_problem_erdos_straus/theorem_2 https://erdosproblems.ai/wiki/library/additive_combinatorics/deshouillers_1999_additive_problem_erdos_straus https://erdosproblems.ai/wiki/library/additive_combinatorics/deshouillers_1999_additive_problem_erdos_straus/theorem_1 https://erdosproblems.ai/wiki/library/additive_combinatorics/dias_da_silva_hamidoune_1994_cyclic_spaces_grassmann_derivatives_additive_theory https://erdosproblems.ai/wiki/library/additive_combinatorics/dias_da_silva_hamidoune_1994_cyclic_spaces_grassmann_derivatives_additive_theory/corollary_3_3 https://erdosproblems.ai/wiki/library/additive_combinatorics/dias_da_silva_hamidoune_1994_cyclic_spaces_grassmann_derivatives_additive_theory/corollary_4_3 https://erdosproblems.ai/wiki/library/additive_combinatorics/dias_da_silva_hamidoune_1994_cyclic_spaces_grassmann_derivatives_additive_theory/theorem_3_2 https://erdosproblems.ai/wiki/library/additive_combinatorics/dias_da_silva_hamidoune_1994_cyclic_spaces_grassmann_derivatives_additive_theory/theorem_4_1 https://erdosproblems.ai/wiki/library/additive_combinatorics/dias_da_silva_hamidoune_1994_cyclic_spaces_grassmann_derivatives_additive_theory/theorem_4_2 https://erdosproblems.ai/wiki/library/additive_combinatorics/doorn_2026_cardinality_set_containing_pairwise_sums_fixed https://erdosproblems.ai/wiki/library/additive_combinatorics/doorn_2026_cardinality_set_containing_pairwise_sums_fixed/theorem_1 https://erdosproblems.ai/wiki/library/additive_combinatorics/doorn_2026_cardinality_set_containing_pairwise_sums_fixed/theorem_3 https://erdosproblems.ai/wiki/library/additive_combinatorics/doorn_2026_cardinality_set_containing_pairwise_sums_fixed/theorem_4 https://erdosproblems.ai/wiki/library/additive_combinatorics/doorn_2026_cardinality_set_containing_pairwise_sums_fixed/theorem_5 https://erdosproblems.ai/wiki/library/additive_combinatorics/doorn_2026_cardinality_set_containing_pairwise_sums_fixed/theorem_8 https://erdosproblems.ai/wiki/library/additive_combinatorics/doorn_2026_cardinality_set_containing_pairwise_sums_fixed/theorem_9 https://erdosproblems.ai/wiki/library/additive_combinatorics/dubroff_2021_note_erdos_distinct_subset_sums_problem https://erdosproblems.ai/wiki/library/additive_combinatorics/dubroff_2021_note_erdos_distinct_subset_sums_problem/central_binomial_bound https://erdosproblems.ai/wiki/library/additive_combinatorics/dubroff_2021_note_erdos_distinct_subset_sums_problem/theorem_1 https://erdosproblems.ai/wiki/library/additive_combinatorics/dubroff_2021_note_erdos_distinct_subset_sums_problem/theorem_3 https://erdosproblems.ai/wiki/library/additive_combinatorics/duval_et_al_2012_cuts_flows_cell_complexes https://erdosproblems.ai/wiki/library/additive_combinatorics/duval_et_al_2012_cuts_flows_cell_complexes/theorem_4_11 https://erdosproblems.ai/wiki/library/additive_combinatorics/duval_et_al_2012_cuts_flows_cell_complexes/theorem_4_8 https://erdosproblems.ai/wiki/library/additive_combinatorics/duval_et_al_2012_cuts_flows_cell_complexes/theorem_5_3 https://erdosproblems.ai/wiki/library/additive_combinatorics/duval_et_al_2012_cuts_flows_cell_complexes/theorem_5_5 https://erdosproblems.ai/wiki/library/additive_combinatorics/duval_et_al_2012_cuts_flows_cell_complexes/theorem_6_1 https://erdosproblems.ai/wiki/library/additive_combinatorics/duval_et_al_2012_cuts_flows_cell_complexes/theorem_6_2 https://erdosproblems.ai/wiki/library/additive_combinatorics/duval_et_al_2012_cuts_flows_cell_complexes/theorem_7_6 https://erdosproblems.ai/wiki/library/additive_combinatorics/duval_et_al_2012_cuts_flows_cell_complexes/theorem_7_7 https://erdosproblems.ai/wiki/library/additive_combinatorics/duval_et_al_2012_cuts_flows_cell_complexes/theorem_8_1 https://erdosproblems.ai/wiki/library/additive_combinatorics/duval_et_al_2012_cuts_flows_cell_complexes/theorem_8_2 https://erdosproblems.ai/wiki/library/additive_combinatorics/duval_et_al_2012_cuts_flows_cell_complexes/theorem_9_2 https://erdosproblems.ai/wiki/library/additive_combinatorics/eberhard_2014_sets_integers_no_large_sum_free https://erdosproblems.ai/wiki/library/additive_combinatorics/eberhard_2014_sets_integers_no_large_sum_free/theorem_1_1 https://erdosproblems.ai/wiki/library/additive_combinatorics/eberhard_2014_sets_integers_no_large_sum_free/theorem_6_4 https://erdosproblems.ai/wiki/library/additive_combinatorics/edmonds_1965_minimum_partition_matroid_into_independent_subsets https://erdosproblems.ai/wiki/library/additive_combinatorics/edmonds_1965_minimum_partition_matroid_into_independent_subsets/theorem_1 https://erdosproblems.ai/wiki/library/additive_combinatorics/erdos_1948_representation_1 https://erdosproblems.ai/wiki/library/additive_combinatorics/erdos_1948_representation_1/theorem_p1155 https://erdosproblems.ai/wiki/library/additive_combinatorics/erdos_1956_problems_results_additive_number_theory https://erdosproblems.ai/wiki/library/additive_combinatorics/erdos_1956_problems_results_additive_number_theory/conjecture_13 https://erdosproblems.ai/wiki/library/additive_combinatorics/erdos_1956_problems_results_additive_number_theory/conjecture_p128 https://erdosproblems.ai/wiki/library/additive_combinatorics/erdos_1956_problems_results_additive_number_theory/conjecture_p136 https://erdosproblems.ai/wiki/library/additive_combinatorics/erdos_1956_problems_results_additive_number_theory/inequality_18 https://erdosproblems.ai/wiki/library/additive_combinatorics/erdos_1956_problems_results_additive_number_theory/inequality_2 https://erdosproblems.ai/wiki/library/additive_combinatorics/erdos_1956_problems_results_additive_number_theory/inequality_6 https://erdosproblems.ai/wiki/library/additive_combinatorics/erdos_1956_problems_results_additive_number_theory/problem_p133 https://erdosproblems.ai/wiki/library/additive_combinatorics/erdos_1956_problems_results_additive_number_theory/problem_p135 https://erdosproblems.ai/wiki/library/additive_combinatorics/erdos_1956_problems_results_additive_number_theory/problem_p136 https://erdosproblems.ai/wiki/library/additive_combinatorics/erdos_1956_problems_results_additive_number_theory/theorem_p127 https://erdosproblems.ai/wiki/library/additive_combinatorics/erdos_1957_unsolved_problems https://erdosproblems.ai/wiki/library/additive_combinatorics/erdos_1957_unsolved_problems/problem_1 https://erdosproblems.ai/wiki/library/additive_combinatorics/erdos_1957_unsolved_problems/problem_10 https://erdosproblems.ai/wiki/library/additive_combinatorics/erdos_1957_unsolved_problems/problem_11 https://erdosproblems.ai/wiki/library/additive_combinatorics/erdos_1957_unsolved_problems/problem_12 https://erdosproblems.ai/wiki/library/additive_combinatorics/erdos_1957_unsolved_problems/problem_14 https://erdosproblems.ai/wiki/library/additive_combinatorics/erdos_1957_unsolved_problems/problem_28 https://erdosproblems.ai/wiki/library/additive_combinatorics/erdos_1962_szamelmeleti_megjegyzesek https://erdosproblems.ai/wiki/library/additive_combinatorics/erdos_1962_szamelmeleti_megjegyzesek/theorem_i_iii https://erdosproblems.ai/wiki/library/additive_combinatorics/erdos_1962_szamelmeleti_megjegyzesek/theorem_iv https://erdosproblems.ai/wiki/library/additive_combinatorics/erdos_1965_extremal_problems_number_theory https://erdosproblems.ai/wiki/library/additive_combinatorics/erdos_1965_extremal_problems_number_theory/display_3 https://erdosproblems.ai/wiki/library/additive_combinatorics/erdos_1965_extremal_problems_number_theory/inequality_30 https://erdosproblems.ai/wiki/library/additive_combinatorics/erdos_1965_extremal_problems_number_theory/inequality_31 https://erdosproblems.ai/wiki/library/additive_combinatorics/erdos_1965_extremal_problems_number_theory/item_5 https://erdosproblems.ai/wiki/library/additive_combinatorics/erdos_1965_extremal_problems_number_theory/phi_n_p187 https://erdosproblems.ai/wiki/library/additive_combinatorics/erdos_1965_extremal_problems_number_theory/theorem_2 https://erdosproblems.ai/wiki/library/additive_combinatorics/erdos_1973_problems_results_combinatorial_number_theory https://erdosproblems.ai/wiki/library/additive_combinatorics/erdos_1973_problems_results_combinatorial_number_theory/inequality_4_5 https://erdosproblems.ai/wiki/library/additive_combinatorics/erdos_1973_problems_results_combinatorial_number_theory/ruzsa_construction_p124 https://erdosproblems.ai/wiki/library/additive_combinatorics/erdos_1973_problems_results_combinatorial_number_theory/section_5_h_n https://erdosproblems.ai/wiki/library/additive_combinatorics/erdos_1973_problems_results_combinatorial_number_theory/section_9 https://erdosproblems.ai/wiki/library/additive_combinatorics/erdos_1975_problems_results_combinatorial_number_theory https://erdosproblems.ai/wiki/library/additive_combinatorics/erdos_1979_old_new_problems_results_combinatorial_number https://erdosproblems.ai/wiki/library/additive_combinatorics/erdos_1979_old_new_problems_results_combinatorial_number/conjecture_p331 https://erdosproblems.ai/wiki/library/additive_combinatorics/erdos_1979_old_new_problems_results_combinatorial_number/unit_step_qualification https://erdosproblems.ai/wiki/library/additive_combinatorics/erdos_1980_applications_ramsey_s_theorem_additive_number https://erdosproblems.ai/wiki/library/additive_combinatorics/erdos_1980_applications_ramsey_s_theorem_additive_number/conjecture_p44 https://erdosproblems.ai/wiki/library/additive_combinatorics/erdos_1980_applications_ramsey_s_theorem_additive_number/theorem_1 https://erdosproblems.ai/wiki/library/additive_combinatorics/erdos_1980_applications_ramsey_s_theorem_additive_number/theorem_1_prime https://erdosproblems.ai/wiki/library/additive_combinatorics/erdos_1980_applications_ramsey_s_theorem_additive_number/theorem_2 https://erdosproblems.ai/wiki/library/additive_combinatorics/erdos_1983_sums_products_integers https://erdosproblems.ai/wiki/library/additive_combinatorics/erdos_1983_sums_products_integers/lemma_p217 https://erdosproblems.ai/wiki/library/additive_combinatorics/erdos_1983_sums_products_integers/theorem_1 https://erdosproblems.ai/wiki/library/additive_combinatorics/erdos_1983_sums_products_integers/theorem_2 https://erdosproblems.ai/wiki/library/additive_combinatorics/erdos_1991_sommes_de_sous_ensembles https://erdosproblems.ai/wiki/library/additive_combinatorics/erdos_1991_sommes_de_sous_ensembles/lemme_2 https://erdosproblems.ai/wiki/library/additive_combinatorics/erdos_1991_sommes_de_sous_ensembles/theoreme_1 https://erdosproblems.ai/wiki/library/additive_combinatorics/erdos_1991_sommes_de_sous_ensembles/theoreme_2 https://erdosproblems.ai/wiki/library/additive_combinatorics/erdos_freud_1984_disjoint_sets_differences https://erdosproblems.ai/wiki/library/additive_combinatorics/erdos_freud_1984_disjoint_sets_differences/counterexample_p100 https://erdosproblems.ai/wiki/library/additive_combinatorics/erdos_freud_1984_disjoint_sets_differences/theorem_4 https://erdosproblems.ai/wiki/library/additive_combinatorics/erdos_problems_2026_problem_963_discussion https://erdosproblems.ai/wiki/library/additive_combinatorics/erdos_sarkozy_1992_arithmetic_progressions_subset_sums https://erdosproblems.ai/wiki/library/additive_combinatorics/erdos_sarkozy_1992_arithmetic_progressions_subset_sums/theorem_1 https://erdosproblems.ai/wiki/library/additive_combinatorics/erdos_sarkozy_1992_arithmetic_progressions_subset_sums/theorem_2 https://erdosproblems.ai/wiki/library/additive_combinatorics/erdos_sarkozy_1992_arithmetic_progressions_subset_sums/theorem_3 https://erdosproblems.ai/wiki/library/additive_combinatorics/erdos_sarkozy_1992_arithmetic_progressions_subset_sums/theorem_4 https://erdosproblems.ai/wiki/library/additive_combinatorics/erdos_sarkozy_1992_arithmetic_progressions_subset_sums/theorem_5 https://erdosproblems.ai/wiki/library/additive_combinatorics/erdos_sos_1986_problems_results_intersections_set_systems_structural_type https://erdosproblems.ai/wiki/library/additive_combinatorics/erdos_sos_1986_problems_results_intersections_set_systems_structural_type/conjecture_1 https://erdosproblems.ai/wiki/library/additive_combinatorics/erdos_sos_1986_problems_results_intersections_set_systems_structural_type/intersection_lemma https://erdosproblems.ai/wiki/library/additive_combinatorics/erdos_sos_1986_problems_results_intersections_set_systems_structural_type/proposition_1 https://erdosproblems.ai/wiki/library/additive_combinatorics/erdos_sos_1986_problems_results_intersections_set_systems_structural_type/theorem_a https://erdosproblems.ai/wiki/library/additive_combinatorics/erdos_sos_1986_problems_results_intersections_set_systems_structural_type/theorem_p62 https://erdosproblems.ai/wiki/library/additive_combinatorics/fox_2019_sets_without_term_progressions_can_have https://erdosproblems.ai/wiki/library/additive_combinatorics/fox_2019_sets_without_term_progressions_can_have/theorem_1_1 https://erdosproblems.ai/wiki/library/additive_combinatorics/fox_2019_sets_without_term_progressions_can_have/theorem_1_2 https://erdosproblems.ai/wiki/library/additive_combinatorics/fox_2026_three_color_van_der_waerden_numbers https://erdosproblems.ai/wiki/library/additive_combinatorics/frankl_furedi_1986_non_trivial_intersecting_families https://erdosproblems.ai/wiki/library/additive_combinatorics/frankl_furedi_1986_non_trivial_intersecting_families/theorem_p151 https://erdosproblems.ai/wiki/library/additive_combinatorics/freud_1993_adding_numbers_problem_p https://erdosproblems.ai/wiki/library/additive_combinatorics/freud_1993_adding_numbers_problem_p/construction_p6199 https://erdosproblems.ai/wiki/library/additive_combinatorics/freud_1993_adding_numbers_problem_p/upper_bound_p6201 https://erdosproblems.ai/wiki/library/additive_combinatorics/geneson_2019_forbidden_arithmetic_progressions_permutations_subsets_integers https://erdosproblems.ai/wiki/library/additive_combinatorics/geneson_2019_forbidden_arithmetic_progressions_permutations_subsets_integers/proposition_1 https://erdosproblems.ai/wiki/library/additive_combinatorics/geneson_2019_forbidden_arithmetic_progressions_permutations_subsets_integers/proposition_11 https://erdosproblems.ai/wiki/library/additive_combinatorics/geneson_2019_forbidden_arithmetic_progressions_permutations_subsets_integers/proposition_3 https://erdosproblems.ai/wiki/library/additive_combinatorics/geneson_2019_forbidden_arithmetic_progressions_permutations_subsets_integers/proposition_4 https://erdosproblems.ai/wiki/library/additive_combinatorics/georgiev_2025_mathematical_exploration_discovery_at_scale https://erdosproblems.ai/wiki/library/additive_combinatorics/gordon_1962_determination_sets_sets_sums_certain_order https://erdosproblems.ai/wiki/library/additive_combinatorics/gordon_1962_determination_sets_sets_sums_certain_order/section_5 https://erdosproblems.ai/wiki/library/additive_combinatorics/gordon_1962_determination_sets_sets_sums_certain_order/theorem_p190 https://erdosproblems.ai/wiki/library/additive_combinatorics/graham_1977_extremal_density_theorems_linear_forms https://erdosproblems.ai/wiki/library/additive_combinatorics/graham_1977_extremal_density_theorems_linear_forms/equation_12 https://erdosproblems.ai/wiki/library/additive_combinatorics/graham_1977_extremal_density_theorems_linear_forms/theorem_1 https://erdosproblems.ai/wiki/library/additive_combinatorics/graham_1977_extremal_density_theorems_linear_forms/theorem_2 https://erdosproblems.ai/wiki/library/additive_combinatorics/graham_et_al_1980_note_intersection_properties_subsets_integers https://erdosproblems.ai/wiki/library/additive_combinatorics/graham_et_al_1980_note_intersection_properties_subsets_integers/proposition_1 https://erdosproblems.ai/wiki/library/additive_combinatorics/graham_et_al_1980_note_intersection_properties_subsets_integers/proposition_2 https://erdosproblems.ai/wiki/library/additive_combinatorics/graham_et_al_1980_note_intersection_properties_subsets_integers/proposition_3 https://erdosproblems.ai/wiki/library/additive_combinatorics/graham_et_al_1980_note_intersection_properties_subsets_integers/proposition_4 https://erdosproblems.ai/wiki/library/additive_combinatorics/green_2008_primes_contain_arbitrarily_long_arithmetic_progressions https://erdosproblems.ai/wiki/library/additive_combinatorics/green_2008_primes_contain_arbitrarily_long_arithmetic_progressions/conjecture_2_2 https://erdosproblems.ai/wiki/library/additive_combinatorics/green_2008_primes_contain_arbitrarily_long_arithmetic_progressions/theorem_1_1 https://erdosproblems.ai/wiki/library/additive_combinatorics/green_2008_primes_contain_arbitrarily_long_arithmetic_progressions/theorem_1_2 https://erdosproblems.ai/wiki/library/additive_combinatorics/green_2008_primes_contain_arbitrarily_long_arithmetic_progressions/theorem_3_5 https://erdosproblems.ai/wiki/library/additive_combinatorics/green_2017_new_bounds_szemeredi_s_theorem https://erdosproblems.ai/wiki/library/additive_combinatorics/green_2017_new_bounds_szemeredi_s_theorem/theorem_1_1 https://erdosproblems.ai/wiki/library/additive_combinatorics/green_2017_new_bounds_szemeredi_s_theorem/theorem_3_1 https://erdosproblems.ai/wiki/library/additive_combinatorics/grosswald_1982_arithmetic_progressions_that_consist_only_primes https://erdosproblems.ai/wiki/library/additive_combinatorics/grosswald_1982_arithmetic_progressions_that_consist_only_primes/corollary_p12 https://erdosproblems.ai/wiki/library/additive_combinatorics/grosswald_1982_arithmetic_progressions_that_consist_only_primes/theorem_1 https://erdosproblems.ai/wiki/library/additive_combinatorics/grosswald_1982_arithmetic_progressions_that_consist_only_primes/theorem_2 https://erdosproblems.ai/wiki/library/additive_combinatorics/hanson_et_al_2023_sum_product_problem_integers_few_prime_factors https://erdosproblems.ai/wiki/library/additive_combinatorics/haugland_1996_advances_minimum_overlap_problem https://erdosproblems.ai/wiki/library/additive_combinatorics/haugland_1996_advances_minimum_overlap_problem/corollary_1 https://erdosproblems.ai/wiki/library/additive_combinatorics/haugland_1996_advances_minimum_overlap_problem/corollary_2 https://erdosproblems.ai/wiki/library/additive_combinatorics/haugland_1996_advances_minimum_overlap_problem/crucial_conjecture_p73 https://erdosproblems.ai/wiki/library/additive_combinatorics/haugland_1996_advances_minimum_overlap_problem/lemma_p71 https://erdosproblems.ai/wiki/library/additive_combinatorics/haugland_1996_advances_minimum_overlap_problem/theorem_p74 https://erdosproblems.ai/wiki/library/additive_combinatorics/haugland_2016_minimum_overlap_problem_revisited https://erdosproblems.ai/wiki/library/additive_combinatorics/haugland_2016_minimum_overlap_problem_revisited/construction_p2 https://erdosproblems.ai/wiki/library/additive_combinatorics/hegyvari_1986_consecutive_sums_sequences https://erdosproblems.ai/wiki/library/additive_combinatorics/hegyvari_1986_consecutive_sums_sequences/theorem_1 https://erdosproblems.ai/wiki/library/additive_combinatorics/hegyvari_1986_consecutive_sums_sequences/theorem_3 https://erdosproblems.ai/wiki/library/additive_combinatorics/hicks_2019_distinct_partial_sums_cyclic_groups_polynomial https://erdosproblems.ai/wiki/library/additive_combinatorics/hicks_2019_distinct_partial_sums_cyclic_groups_polynomial/lemma_4_1 https://erdosproblems.ai/wiki/library/additive_combinatorics/hicks_2019_distinct_partial_sums_cyclic_groups_polynomial/lemma_4_4 https://erdosproblems.ai/wiki/library/additive_combinatorics/hicks_2019_distinct_partial_sums_cyclic_groups_polynomial/theorem_2_2 https://erdosproblems.ai/wiki/library/additive_combinatorics/hicks_2019_distinct_partial_sums_cyclic_groups_polynomial/theorem_2_3 https://erdosproblems.ai/wiki/library/additive_combinatorics/hicks_2019_distinct_partial_sums_cyclic_groups_polynomial/theorem_3_2 https://erdosproblems.ai/wiki/library/additive_combinatorics/hicks_2019_distinct_partial_sums_cyclic_groups_polynomial/theorem_4_3 https://erdosproblems.ai/wiki/library/additive_combinatorics/hicks_2019_distinct_partial_sums_cyclic_groups_polynomial/theorem_4_6 https://erdosproblems.ai/wiki/library/additive_combinatorics/hosten_maclagan_2000_vertex_ideal_lattice https://erdosproblems.ai/wiki/library/additive_combinatorics/hosten_maclagan_2000_vertex_ideal_lattice/corollary_4_7 https://erdosproblems.ai/wiki/library/additive_combinatorics/hosten_maclagan_2000_vertex_ideal_lattice/corollary_4_8 https://erdosproblems.ai/wiki/library/additive_combinatorics/hosten_maclagan_2000_vertex_ideal_lattice/definition_4_1 https://erdosproblems.ai/wiki/library/additive_combinatorics/hosten_maclagan_2000_vertex_ideal_lattice/proposition_2_1 https://erdosproblems.ai/wiki/library/additive_combinatorics/hosten_maclagan_2000_vertex_ideal_lattice/proposition_4_2 https://erdosproblems.ai/wiki/library/additive_combinatorics/hosten_maclagan_2000_vertex_ideal_lattice/proposition_4_3 https://erdosproblems.ai/wiki/library/additive_combinatorics/hosten_maclagan_2000_vertex_ideal_lattice/theorem_2_10 https://erdosproblems.ai/wiki/library/additive_combinatorics/hosten_maclagan_2000_vertex_ideal_lattice/theorem_2_3 https://erdosproblems.ai/wiki/library/additive_combinatorics/hosten_maclagan_2000_vertex_ideal_lattice/theorem_2_8 https://erdosproblems.ai/wiki/library/additive_combinatorics/hosten_maclagan_2000_vertex_ideal_lattice/theorem_3_11 https://erdosproblems.ai/wiki/library/additive_combinatorics/hosten_maclagan_2000_vertex_ideal_lattice/theorem_3_14 https://erdosproblems.ai/wiki/library/additive_combinatorics/hosten_maclagan_2000_vertex_ideal_lattice/theorem_3_8 https://erdosproblems.ai/wiki/library/additive_combinatorics/huang_2026_autonomous_disproofs_sum_product_real https://erdosproblems.ai/wiki/library/additive_combinatorics/huang_2026_autonomous_disproofs_sum_product_real/source_digest https://erdosproblems.ai/wiki/library/additive_combinatorics/huang_2026_autonomous_disproofs_sum_product_real/theorem_1 https://erdosproblems.ai/wiki/library/additive_combinatorics/hunter_2025_lower_bounds_multicolor_van_der_waerden https://erdosproblems.ai/wiki/library/additive_combinatorics/hunter_2025_lower_bounds_multicolor_van_der_waerden/theorem_1 https://erdosproblems.ai/wiki/library/additive_combinatorics/hunter_2025_lower_bounds_multicolor_van_der_waerden/theorem_2 https://erdosproblems.ai/wiki/library/additive_combinatorics/jenw1n_2026_erdos_problem_272_szabo_strong https://erdosproblems.ai/wiki/library/additive_combinatorics/jenw1n_2026_erdos_problem_272_szabo_strong/jenw1n_2026_erdos_problem_272_szabo_strong https://erdosproblems.ai/wiki/library/additive_combinatorics/katz_1999_bounds_arithmetic_projections_applications_kakeya_conjecture https://erdosproblems.ai/wiki/library/additive_combinatorics/katz_1999_bounds_arithmetic_projections_applications_kakeya_conjecture/corollary_1_2 https://erdosproblems.ai/wiki/library/additive_combinatorics/katz_1999_bounds_arithmetic_projections_applications_kakeya_conjecture/examples_p2 https://erdosproblems.ai/wiki/library/additive_combinatorics/katz_1999_bounds_arithmetic_projections_applications_kakeya_conjecture/theorem_1_1 https://erdosproblems.ai/wiki/library/additive_combinatorics/keevash_2026_non_trivial_bound_3ap_intersecting_families https://erdosproblems.ai/wiki/library/additive_combinatorics/kelley_2023_strong_bounds_3_progressions https://erdosproblems.ai/wiki/library/additive_combinatorics/kelley_2023_strong_bounds_3_progressions/theorem_1_1 https://erdosproblems.ai/wiki/library/additive_combinatorics/kim_pilanci_2026_ai_assisted_discovery_convex_relaxations_via_dual_agents https://erdosproblems.ai/wiki/library/additive_combinatorics/kohonen_2017_improved_lower_bound_finite_additive_2 https://erdosproblems.ai/wiki/library/additive_combinatorics/kohonen_2017_improved_lower_bound_finite_additive_2/equation_1 https://erdosproblems.ai/wiki/library/additive_combinatorics/kohonen_2017_improved_lower_bound_finite_additive_2/theorem_1 https://erdosproblems.ai/wiki/library/additive_combinatorics/komlos_1975_linear_problems_combinatorial_number_theory https://erdosproblems.ai/wiki/library/additive_combinatorics/komlos_1975_linear_problems_combinatorial_number_theory/arithmetic_progression_corollary https://erdosproblems.ai/wiki/library/additive_combinatorics/komlos_1975_linear_problems_combinatorial_number_theory/lemma_1_prime https://erdosproblems.ai/wiki/library/additive_combinatorics/komlos_1975_linear_problems_combinatorial_number_theory/lemma_2 https://erdosproblems.ai/wiki/library/additive_combinatorics/komlos_1975_linear_problems_combinatorial_number_theory/lemma_3 https://erdosproblems.ai/wiki/library/additive_combinatorics/komlos_1975_linear_problems_combinatorial_number_theory/lemma_4 https://erdosproblems.ai/wiki/library/additive_combinatorics/komlos_1975_linear_problems_combinatorial_number_theory/lemma_5 https://erdosproblems.ai/wiki/library/additive_combinatorics/komlos_1975_linear_problems_combinatorial_number_theory/lemma_6 https://erdosproblems.ai/wiki/library/additive_combinatorics/komlos_1975_linear_problems_combinatorial_number_theory/lemma_7 https://erdosproblems.ai/wiki/library/additive_combinatorics/komlos_1975_linear_problems_combinatorial_number_theory/prime_inputs https://erdosproblems.ai/wiki/library/additive_combinatorics/komlos_1975_linear_problems_combinatorial_number_theory/relation_setup https://erdosproblems.ai/wiki/library/additive_combinatorics/komlos_1975_linear_problems_combinatorial_number_theory/remark_3 https://erdosproblems.ai/wiki/library/additive_combinatorics/komlos_1975_linear_problems_combinatorial_number_theory/rounding_and_iteration https://erdosproblems.ai/wiki/library/additive_combinatorics/komlos_1975_linear_problems_combinatorial_number_theory/theorem_p114 https://erdosproblems.ai/wiki/library/additive_combinatorics/komlos_1975_linear_problems_combinatorial_number_theory/translation_invariant_theorem https://erdosproblems.ai/wiki/library/additive_combinatorics/korsky_2026_arithmetic_progression_free_subset_sum_sets https://erdosproblems.ai/wiki/library/additive_combinatorics/korsky_2026_arithmetic_progression_free_subset_sum_sets/corollary_4_2 https://erdosproblems.ai/wiki/library/additive_combinatorics/korsky_2026_arithmetic_progression_free_subset_sum_sets/theorem_1_1 https://erdosproblems.ai/wiki/library/additive_combinatorics/korsky_2026_arithmetic_progression_free_subset_sum_sets/theorem_1_2 https://erdosproblems.ai/wiki/library/additive_combinatorics/korsky_2026_arithmetic_progression_free_subset_sum_sets/theorem_1_3 https://erdosproblems.ai/wiki/library/additive_combinatorics/kozik_2016_improved_algorithms_colorings_simple_hypergraphs_applications https://erdosproblems.ai/wiki/library/additive_combinatorics/kozik_2016_improved_algorithms_colorings_simple_hypergraphs_applications/theorem_1 https://erdosproblems.ai/wiki/library/additive_combinatorics/kozik_2016_improved_algorithms_colorings_simple_hypergraphs_applications/theorem_2 https://erdosproblems.ai/wiki/library/additive_combinatorics/kra_2024_proof_erdos_s_conjecture https://erdosproblems.ai/wiki/library/additive_combinatorics/kra_2024_proof_erdos_s_conjecture/corollary_1_3 https://erdosproblems.ai/wiki/library/additive_combinatorics/kra_2024_proof_erdos_s_conjecture/theorem_1_2 https://erdosproblems.ai/wiki/library/additive_combinatorics/kra_2024_proof_erdos_s_conjecture/theorem_1_4 https://erdosproblems.ai/wiki/library/additive_combinatorics/kravitz_2024_rearranging_small_sets_distinct_partial_sums https://erdosproblems.ai/wiki/library/additive_combinatorics/kravitz_2024_rearranging_small_sets_distinct_partial_sums/theorem_1_2 https://erdosproblems.ai/wiki/library/additive_combinatorics/kravitz_2024_rearranging_small_sets_distinct_partial_sums/theorem_1_3 https://erdosproblems.ai/wiki/library/additive_combinatorics/lemm_2015_new_counterexamples_sums_differences https://erdosproblems.ai/wiki/library/additive_combinatorics/lemm_2015_new_counterexamples_sums_differences/proposition_1_1 https://erdosproblems.ai/wiki/library/additive_combinatorics/lemm_2015_new_counterexamples_sums_differences/theorem_2_1 https://erdosproblems.ai/wiki/library/additive_combinatorics/lemm_2015_new_counterexamples_sums_differences/theorem_2_2 https://erdosproblems.ai/wiki/library/additive_combinatorics/leng_2024_improved_bounds_szemeredi_s_theorem https://erdosproblems.ai/wiki/library/additive_combinatorics/leng_2024_improved_bounds_szemeredi_s_theorem/lemma_2_1 https://erdosproblems.ai/wiki/library/additive_combinatorics/leng_2024_improved_bounds_szemeredi_s_theorem/theorem_1_1 https://erdosproblems.ai/wiki/library/additive_combinatorics/lev_2017_isoperimetric_stability https://erdosproblems.ai/wiki/library/additive_combinatorics/lev_2017_isoperimetric_stability/corollary_1 https://erdosproblems.ai/wiki/library/additive_combinatorics/lev_2017_isoperimetric_stability/theorem_1 https://erdosproblems.ai/wiki/library/additive_combinatorics/lev_2017_isoperimetric_stability/theorem_2 https://erdosproblems.ai/wiki/library/additive_combinatorics/lev_2017_isoperimetric_stability/theorem_3 https://erdosproblems.ai/wiki/library/additive_combinatorics/lev_2017_isoperimetric_stability/theorem_4 https://erdosproblems.ai/wiki/library/additive_combinatorics/lev_yuster_2010_size_dissociated_bases https://erdosproblems.ai/wiki/library/additive_combinatorics/lev_yuster_2010_size_dissociated_bases/theorem_1 https://erdosproblems.ai/wiki/library/additive_combinatorics/lev_yuster_2010_size_dissociated_bases/theorem_2 https://erdosproblems.ai/wiki/library/additive_combinatorics/lev_yuster_2010_size_dissociated_bases/theorem_3 https://erdosproblems.ai/wiki/library/additive_combinatorics/lu_2012_monochromatic_4_term_arithmetic_progressions_2 https://erdosproblems.ai/wiki/library/additive_combinatorics/lu_2012_monochromatic_4_term_arithmetic_progressions_2/conjecture_1 https://erdosproblems.ai/wiki/library/additive_combinatorics/lu_2012_monochromatic_4_term_arithmetic_progressions_2/conjecture_2 https://erdosproblems.ai/wiki/library/additive_combinatorics/lu_2012_monochromatic_4_term_arithmetic_progressions_2/lemma_1 https://erdosproblems.ai/wiki/library/additive_combinatorics/lu_2012_monochromatic_4_term_arithmetic_progressions_2/theorem_1 https://erdosproblems.ai/wiki/library/additive_combinatorics/lu_2012_monochromatic_4_term_arithmetic_progressions_2/theorem_2 https://erdosproblems.ai/wiki/library/additive_combinatorics/lu_2012_monochromatic_4_term_arithmetic_progressions_2/theorem_3 https://erdosproblems.ai/wiki/library/additive_combinatorics/lu_2012_monochromatic_4_term_arithmetic_progressions_2/theorem_4 https://erdosproblems.ai/wiki/library/additive_combinatorics/lu_2012_monochromatic_4_term_arithmetic_progressions_2/theorem_5 https://erdosproblems.ai/wiki/library/additive_combinatorics/lu_2012_monochromatic_4_term_arithmetic_progressions_2/theorem_6 https://erdosproblems.ai/wiki/library/additive_combinatorics/luczak_2000_maximal_density_sum_free_sets https://erdosproblems.ai/wiki/library/additive_combinatorics/luczak_2000_maximal_density_sum_free_sets/construction_section_3 https://erdosproblems.ai/wiki/library/additive_combinatorics/luczak_2000_maximal_density_sum_free_sets/theorem_3 https://erdosproblems.ai/wiki/library/additive_combinatorics/lunnon_1988_integer_sets_distinct_subset_sums https://erdosproblems.ai/wiki/library/additive_combinatorics/lunnon_1988_integer_sets_distinct_subset_sums/computation_p309 https://erdosproblems.ai/wiki/library/additive_combinatorics/lunnon_1988_integer_sets_distinct_subset_sums/conjecture_1_14 https://erdosproblems.ai/wiki/library/additive_combinatorics/lunnon_1988_integer_sets_distinct_subset_sums/construction_p311 https://erdosproblems.ai/wiki/library/additive_combinatorics/lunnon_1988_integer_sets_distinct_subset_sums/theorem_1_8 https://erdosproblems.ai/wiki/library/additive_combinatorics/lunnon_1988_integer_sets_distinct_subset_sums/theorem_2_2 https://erdosproblems.ai/wiki/library/additive_combinatorics/lunnon_1988_integer_sets_distinct_subset_sums/theorem_3_11 https://erdosproblems.ai/wiki/library/additive_combinatorics/lunnon_1988_integer_sets_distinct_subset_sums/theorem_4_6 https://erdosproblems.ai/wiki/library/additive_combinatorics/mann_1960_refinement_fundamental_theorem_density_sum_two https://erdosproblems.ai/wiki/library/additive_combinatorics/mann_1960_refinement_fundamental_theorem_density_sum_two/corollary_to_theorem_2 https://erdosproblems.ai/wiki/library/additive_combinatorics/mann_1960_refinement_fundamental_theorem_density_sum_two/theorem_1 https://erdosproblems.ai/wiki/library/additive_combinatorics/mann_1960_refinement_fundamental_theorem_density_sum_two/theorem_2 https://erdosproblems.ai/wiki/library/additive_combinatorics/mann_1960_refinement_fundamental_theorem_density_sum_two/theorem_2a https://erdosproblems.ai/wiki/library/additive_combinatorics/mann_1960_refinement_fundamental_theorem_density_sum_two/theorem_3 https://erdosproblems.ai/wiki/library/additive_combinatorics/mann_1960_refinement_fundamental_theorem_density_sum_two/theorem_4 https://erdosproblems.ai/wiki/library/additive_combinatorics/martin_reiner_2004_cyclotomic_simplicial_matroids https://erdosproblems.ai/wiki/library/additive_combinatorics/martin_reiner_2004_cyclotomic_simplicial_matroids/corollary_2 https://erdosproblems.ai/wiki/library/additive_combinatorics/martin_reiner_2004_cyclotomic_simplicial_matroids/corollary_9 https://erdosproblems.ai/wiki/library/additive_combinatorics/martin_reiner_2004_cyclotomic_simplicial_matroids/theorem_1 https://erdosproblems.ai/wiki/library/additive_combinatorics/martos_et_al_2023_minimun_overlap_problem_finite_groups https://erdosproblems.ai/wiki/library/additive_combinatorics/miyazaki_2026_improved_ramsey_bounds_generalized_schur_equations https://erdosproblems.ai/wiki/library/additive_combinatorics/miyazaki_2026_improved_ramsey_bounds_generalized_schur_equations/remark_2_2 https://erdosproblems.ai/wiki/library/additive_combinatorics/miyazaki_2026_improved_ramsey_bounds_generalized_schur_equations/theorem_1_1 https://erdosproblems.ai/wiki/library/additive_combinatorics/miyazaki_2026_improved_ramsey_bounds_generalized_schur_equations/theorem_1_3 https://erdosproblems.ai/wiki/library/additive_combinatorics/mohammadi_2023_attaining_exponent_5_4_sum_product https://erdosproblems.ai/wiki/library/additive_combinatorics/montgomery_vaughan_1979_mean_values_character_sums https://erdosproblems.ai/wiki/library/additive_combinatorics/montgomery_vaughan_1979_mean_values_character_sums/corollary_p476 https://erdosproblems.ai/wiki/library/additive_combinatorics/montgomery_vaughan_1979_mean_values_character_sums/theorem_1 https://erdosproblems.ai/wiki/library/additive_combinatorics/montgomery_vaughan_1979_mean_values_character_sums/theorem_2 https://erdosproblems.ai/wiki/library/additive_combinatorics/moreira_2019_proof_sumset_conjecture_erdos https://erdosproblems.ai/wiki/library/additive_combinatorics/moreira_2019_proof_sumset_conjecture_erdos/question_6_2 https://erdosproblems.ai/wiki/library/additive_combinatorics/moreira_2019_proof_sumset_conjecture_erdos/theorem_1_2 https://erdosproblems.ai/wiki/library/additive_combinatorics/moreira_2019_proof_sumset_conjecture_erdos/theorem_1_3 https://erdosproblems.ai/wiki/library/additive_combinatorics/moreira_2019_proof_sumset_conjecture_erdos/theorem_2_2 https://erdosproblems.ai/wiki/library/additive_combinatorics/moreira_2019_proof_sumset_conjecture_erdos/theorem_2_7 https://erdosproblems.ai/wiki/library/additive_combinatorics/moreira_2019_proof_sumset_conjecture_erdos/theorem_3_22 https://erdosproblems.ai/wiki/library/additive_combinatorics/moreira_2019_proof_sumset_conjecture_erdos/theorem_3_6 https://erdosproblems.ai/wiki/library/additive_combinatorics/moser_1959_minimal_overlap_problem_erdos https://erdosproblems.ai/wiki/library/additive_combinatorics/moy_2011_growth_counting_function_stanley_sequences https://erdosproblems.ai/wiki/library/additive_combinatorics/moy_2011_growth_counting_function_stanley_sequences/lemma_2_4 https://erdosproblems.ai/wiki/library/additive_combinatorics/moy_2011_growth_counting_function_stanley_sequences/theorem_1_1 https://erdosproblems.ai/wiki/library/additive_combinatorics/mrose_1979_untere_schranken_reichweiten_extremalbasen_fester_ordnung https://erdosproblems.ai/wiki/library/additive_combinatorics/mrose_1979_untere_schranken_reichweiten_extremalbasen_fester_ordnung/equation_3 https://erdosproblems.ai/wiki/library/additive_combinatorics/mrose_1979_untere_schranken_reichweiten_extremalbasen_fester_ordnung/satz_1 https://erdosproblems.ai/wiki/library/additive_combinatorics/mrose_1979_untere_schranken_reichweiten_extremalbasen_fester_ordnung/satz_2 https://erdosproblems.ai/wiki/library/additive_combinatorics/muyesser_2022_random_hall_paige_conjecture https://erdosproblems.ai/wiki/library/additive_combinatorics/muyesser_2022_random_hall_paige_conjecture/theorem_6_9 https://erdosproblems.ai/wiki/library/additive_combinatorics/odlyzko_1978_curious_sequences_constructed_greedy_algorithm https://erdosproblems.ai/wiki/library/additive_combinatorics/odlyzko_1978_curious_sequences_constructed_greedy_algorithm/definition_p1 https://erdosproblems.ai/wiki/library/additive_combinatorics/odlyzko_1978_curious_sequences_constructed_greedy_algorithm/heuristic_p3 https://erdosproblems.ai/wiki/library/additive_combinatorics/odlyzko_1978_curious_sequences_constructed_greedy_algorithm/remark_2 https://erdosproblems.ai/wiki/library/additive_combinatorics/odlyzko_1978_curious_sequences_constructed_greedy_algorithm/theorem_1 https://erdosproblems.ai/wiki/library/additive_combinatorics/odlyzko_1978_curious_sequences_constructed_greedy_algorithm/theorem_2 https://erdosproblems.ai/wiki/library/additive_combinatorics/onn_2007_convex_discrete_optimization https://erdosproblems.ai/wiki/library/additive_combinatorics/onn_2007_convex_discrete_optimization/corollary_6_4 https://erdosproblems.ai/wiki/library/additive_combinatorics/onn_2007_convex_discrete_optimization/lemma_4_2 https://erdosproblems.ai/wiki/library/additive_combinatorics/onn_2007_convex_discrete_optimization/theorem_2_4 https://erdosproblems.ai/wiki/library/additive_combinatorics/onn_2007_convex_discrete_optimization/theorem_3_5 https://erdosproblems.ai/wiki/library/additive_combinatorics/onn_2007_convex_discrete_optimization/theorem_4_11 https://erdosproblems.ai/wiki/library/additive_combinatorics/onn_2007_convex_discrete_optimization/theorem_5_5 https://erdosproblems.ai/wiki/library/additive_combinatorics/onn_2007_convex_discrete_optimization/theorem_6_1 https://erdosproblems.ai/wiki/library/additive_combinatorics/openai_2026_quantitative_superexponential_bounds_van_der_waerden_numbers https://erdosproblems.ai/wiki/library/additive_combinatorics/openai_2026_quantitative_superexponential_bounds_van_der_waerden_numbers/corollary_7_3 https://erdosproblems.ai/wiki/library/additive_combinatorics/openai_2026_quantitative_superexponential_bounds_van_der_waerden_numbers/theorem_1_1 https://erdosproblems.ai/wiki/library/additive_combinatorics/openai_2026_quasipolynomial_bounds_arithmetic_progressions https://erdosproblems.ai/wiki/library/additive_combinatorics/openai_2026_quasipolynomial_bounds_arithmetic_progressions/corollary_11_2 https://erdosproblems.ai/wiki/library/additive_combinatorics/openai_2026_quasipolynomial_bounds_arithmetic_progressions/corollary_1_2 https://erdosproblems.ai/wiki/library/additive_combinatorics/openai_2026_quasipolynomial_bounds_arithmetic_progressions/theorem_1_1 https://erdosproblems.ai/wiki/library/additive_combinatorics/parrilo_2008_asymptotic_minimum_number_monochromatic_3_term https://erdosproblems.ai/wiki/library/additive_combinatorics/parrilo_2008_asymptotic_minimum_number_monochromatic_3_term/lemma_1 https://erdosproblems.ai/wiki/library/additive_combinatorics/parrilo_2008_asymptotic_minimum_number_monochromatic_3_term/theorem_2 https://erdosproblems.ai/wiki/library/additive_combinatorics/parrilo_2008_asymptotic_minimum_number_monochromatic_3_term/theorem_4 https://erdosproblems.ai/wiki/library/additive_combinatorics/parrilo_2008_asymptotic_minimum_number_monochromatic_3_term/theorem_5 https://erdosproblems.ai/wiki/library/additive_combinatorics/pham_2024_sharp_bound_erdos_straus_non_averaging https://erdosproblems.ai/wiki/library/additive_combinatorics/pham_2024_sharp_bound_erdos_straus_non_averaging/theorem_1 https://erdosproblems.ai/wiki/library/additive_combinatorics/pham_2026_graham_s_rearrangement_conjecture https://erdosproblems.ai/wiki/library/additive_combinatorics/pham_2026_graham_s_rearrangement_conjecture/corollary_1_4 https://erdosproblems.ai/wiki/library/additive_combinatorics/pham_2026_graham_s_rearrangement_conjecture/theorem_1_2 https://erdosproblems.ai/wiki/library/additive_combinatorics/pham_2026_graham_s_rearrangement_conjecture/theorem_1_3 https://erdosproblems.ai/wiki/library/additive_combinatorics/polymath_2012_new_proof_density_halesjewett_theorem https://erdosproblems.ai/wiki/library/additive_combinatorics/polymath_2012_new_proof_density_halesjewett_theorem/theorem_1_4 https://erdosproblems.ai/wiki/library/additive_combinatorics/polymath_2012_new_proof_density_halesjewett_theorem/theorem_1_5 https://erdosproblems.ai/wiki/library/additive_combinatorics/reiher_2024_colouring_versus_density_integers_hales_jewett_cubes https://erdosproblems.ai/wiki/library/additive_combinatorics/roche_newton_et_al_2026_more_sum_product_type_counterexamples_products_shifts_aa https://erdosproblems.ai/wiki/library/additive_combinatorics/rohrbach_1937_ein_beitrag_zur_additiven_zahlentheorie https://erdosproblems.ai/wiki/library/additive_combinatorics/rohrbach_1937_ein_beitrag_zur_additiven_zahlentheorie/conjecture https://erdosproblems.ai/wiki/library/additive_combinatorics/rohrbach_1937_ein_beitrag_zur_additiven_zahlentheorie/inequality_47 https://erdosproblems.ai/wiki/library/additive_combinatorics/rohrbach_1937_ein_beitrag_zur_additiven_zahlentheorie/satz_10 https://erdosproblems.ai/wiki/library/additive_combinatorics/rohrbach_1937_ein_beitrag_zur_additiven_zahlentheorie/satz_12 https://erdosproblems.ai/wiki/library/additive_combinatorics/rohrbach_1937_ein_beitrag_zur_additiven_zahlentheorie/satz_3 https://erdosproblems.ai/wiki/library/additive_combinatorics/rohrbach_1937_ein_beitrag_zur_additiven_zahlentheorie/satz_5 https://erdosproblems.ai/wiki/library/additive_combinatorics/rohrbach_1937_ein_beitrag_zur_additiven_zahlentheorie/satz_9 https://erdosproblems.ai/wiki/library/additive_combinatorics/russell_2026_tighter_upper_bound_erdos_minimum_overlap_constant https://erdosproblems.ai/wiki/library/additive_combinatorics/ruzsa_1999_erdos_integers https://erdosproblems.ai/wiki/library/additive_combinatorics/ruzsa_1999_erdos_integers/question_p147 https://erdosproblems.ai/wiki/library/additive_combinatorics/ruzsa_2005_sum_avoiding_subsets https://erdosproblems.ai/wiki/library/additive_combinatorics/ruzsa_2005_sum_avoiding_subsets/theorem https://erdosproblems.ai/wiki/library/additive_combinatorics/ruzsa_2017_exact_additive_complements https://erdosproblems.ai/wiki/library/additive_combinatorics/ruzsa_2017_exact_additive_complements/theorem_1_1 https://erdosproblems.ai/wiki/library/additive_combinatorics/ruzsa_2017_exact_additive_complements/theorem_1_2 https://erdosproblems.ai/wiki/library/additive_combinatorics/ruzsa_2017_exact_additive_complements/theorem_1_3 https://erdosproblems.ai/wiki/library/additive_combinatorics/sanders_2021_erdos_moser_sum_free_set_problem https://erdosproblems.ai/wiki/library/additive_combinatorics/sanders_2021_erdos_moser_sum_free_set_problem/proposition_2_1 https://erdosproblems.ai/wiki/library/additive_combinatorics/sanders_2021_erdos_moser_sum_free_set_problem/proposition_2_7 https://erdosproblems.ai/wiki/library/additive_combinatorics/sanders_2021_erdos_moser_sum_free_set_problem/theorem_1_1 https://erdosproblems.ai/wiki/library/additive_combinatorics/sanders_2021_erdos_moser_sum_free_set_problem/theorem_1_2 https://erdosproblems.ai/wiki/library/additive_combinatorics/scarf_1985_integral_polyhedra_three_space https://erdosproblems.ai/wiki/library/additive_combinatorics/scarf_1985_integral_polyhedra_three_space/theorem_1_2 https://erdosproblems.ai/wiki/library/additive_combinatorics/scarf_1985_integral_polyhedra_three_space/theorem_1_3 https://erdosproblems.ai/wiki/library/additive_combinatorics/scarf_1985_integral_polyhedra_three_space/theorem_1_4 https://erdosproblems.ai/wiki/library/additive_combinatorics/scarf_1985_integral_polyhedra_three_space/theorem_2_6 https://erdosproblems.ai/wiki/library/additive_combinatorics/scarf_1985_integral_polyhedra_three_space/theorem_4_1 https://erdosproblems.ai/wiki/library/additive_combinatorics/selfridge_1958_determination_numbers_sums_fixed_order https://erdosproblems.ai/wiki/library/additive_combinatorics/selfridge_1958_determination_numbers_sums_fixed_order/corollary_p853 https://erdosproblems.ai/wiki/library/additive_combinatorics/selfridge_1958_determination_numbers_sums_fixed_order/theorem_1 https://erdosproblems.ai/wiki/library/additive_combinatorics/selfridge_1958_determination_numbers_sums_fixed_order/theorem_2 https://erdosproblems.ai/wiki/library/additive_combinatorics/selfridge_1958_determination_numbers_sums_fixed_order/theorem_3 https://erdosproblems.ai/wiki/library/additive_combinatorics/selfridge_1958_determination_numbers_sums_fixed_order/theorem_4 https://erdosproblems.ai/wiki/library/additive_combinatorics/selfridge_1958_determination_numbers_sums_fixed_order/theorem_5 https://erdosproblems.ai/wiki/library/additive_combinatorics/selfridge_1958_determination_numbers_sums_fixed_order/theorem_6 https://erdosproblems.ai/wiki/library/additive_combinatorics/selfridge_1958_determination_numbers_sums_fixed_order/theorem_7 https://erdosproblems.ai/wiki/library/additive_combinatorics/semchankau_2020_maximal_subsets_free_arithmetic_progressions_arbitrary https://erdosproblems.ai/wiki/library/additive_combinatorics/semchankau_2020_maximal_subsets_free_arithmetic_progressions_arbitrary/hypothesis_1 https://erdosproblems.ai/wiki/library/additive_combinatorics/semchankau_2020_maximal_subsets_free_arithmetic_progressions_arbitrary/lemma_3_2 https://erdosproblems.ai/wiki/library/additive_combinatorics/semchankau_2020_maximal_subsets_free_arithmetic_progressions_arbitrary/theorem_1 https://erdosproblems.ai/wiki/library/additive_combinatorics/shkredov_yekhanin_2010_sets_large_additive_energy_symmetric_sets https://erdosproblems.ai/wiki/library/additive_combinatorics/shkredov_yekhanin_2010_sets_large_additive_energy_symmetric_sets/observation_p3 https://erdosproblems.ai/wiki/library/additive_combinatorics/shkredov_yekhanin_2010_sets_large_additive_energy_symmetric_sets/theorem_1_3 https://erdosproblems.ai/wiki/library/additive_combinatorics/shkredov_yekhanin_2010_sets_large_additive_energy_symmetric_sets/theorem_3_1 https://erdosproblems.ai/wiki/library/additive_combinatorics/shkredov_yekhanin_2010_sets_large_additive_energy_symmetric_sets/theorem_3_6 https://erdosproblems.ai/wiki/library/additive_combinatorics/simonovits_1981_intersection_properties_subsets_integers https://erdosproblems.ai/wiki/library/additive_combinatorics/simonovits_1981_intersection_properties_subsets_integers/problem_1 https://erdosproblems.ai/wiki/library/additive_combinatorics/simonovits_1981_intersection_properties_subsets_integers/theorem_1 https://erdosproblems.ai/wiki/library/additive_combinatorics/simonovits_1981_intersection_properties_subsets_integers/theorem_2 https://erdosproblems.ai/wiki/library/additive_combinatorics/simonovits_1981_intersection_properties_subsets_integers/theorem_3 https://erdosproblems.ai/wiki/library/additive_combinatorics/simonovits_1981_intersection_properties_subsets_integers/theorem_4 https://erdosproblems.ai/wiki/library/additive_combinatorics/solymosi_2004_note_question_erdos_graham https://erdosproblems.ai/wiki/library/additive_combinatorics/solymosi_2004_note_question_erdos_graham/theorem_1_1 https://erdosproblems.ai/wiki/library/additive_combinatorics/solymosi_2004_note_question_erdos_graham/theorem_1_2 https://erdosproblems.ai/wiki/library/additive_combinatorics/solymosi_2009_bounding_multiplicative_energy_sumset https://erdosproblems.ai/wiki/library/additive_combinatorics/solymosi_2009_bounding_multiplicative_energy_sumset/corollary_2_2 https://erdosproblems.ai/wiki/library/additive_combinatorics/solymosi_2009_bounding_multiplicative_energy_sumset/lemma_2_3 https://erdosproblems.ai/wiki/library/additive_combinatorics/solymosi_2009_bounding_multiplicative_energy_sumset/theorem_2_1 https://erdosproblems.ai/wiki/library/additive_combinatorics/solymosi_2009_bounding_multiplicative_energy_sumset/theorem_3_1 https://erdosproblems.ai/wiki/library/additive_combinatorics/steinerberger_2022_remarks_erdos_distinct_subset_sums_problem https://erdosproblems.ai/wiki/library/additive_combinatorics/steinerberger_2022_remarks_erdos_distinct_subset_sums_problem/corollary_1 https://erdosproblems.ai/wiki/library/additive_combinatorics/steinerberger_2022_remarks_erdos_distinct_subset_sums_problem/corollary_2 https://erdosproblems.ai/wiki/library/additive_combinatorics/steinerberger_2022_remarks_erdos_distinct_subset_sums_problem/lemma_1 https://erdosproblems.ai/wiki/library/additive_combinatorics/steinerberger_2022_remarks_erdos_distinct_subset_sums_problem/lemma_2 https://erdosproblems.ai/wiki/library/additive_combinatorics/steinerberger_2022_remarks_erdos_distinct_subset_sums_problem/theorem_1 https://erdosproblems.ai/wiki/library/additive_combinatorics/steinerberger_2022_remarks_erdos_distinct_subset_sums_problem/theorem_2 https://erdosproblems.ai/wiki/library/additive_combinatorics/szabo_1999_intersection_properties_subsets_integers https://erdosproblems.ai/wiki/library/additive_combinatorics/szabo_1999_intersection_properties_subsets_integers/construction_p21 https://erdosproblems.ai/wiki/library/additive_combinatorics/szabo_1999_intersection_properties_subsets_integers/question_p22 https://erdosproblems.ai/wiki/library/additive_combinatorics/szabo_1999_intersection_properties_subsets_integers/theorem_2_1 https://erdosproblems.ai/wiki/library/additive_combinatorics/szemeredi_1975_sets_integers_containing_no_elements_arithmetic https://erdosproblems.ai/wiki/library/additive_combinatorics/vu_et_al_2007_mapping_incidences https://erdosproblems.ai/wiki/library/additive_combinatorics/vu_et_al_2007_mapping_incidences/theorem_1_1 https://erdosproblems.ai/wiki/library/additive_combinatorics/vu_et_al_2007_mapping_incidences/theorem_2_3 https://erdosproblems.ai/wiki/library/additive_combinatorics/vu_et_al_2007_mapping_incidences/theorem_3_2 https://erdosproblems.ai/wiki/library/additive_combinatorics/vu_et_al_2007_mapping_incidences/theorem_4_2 https://erdosproblems.ai/wiki/library/additive_combinatorics/vu_et_al_2007_mapping_incidences/theorem_5_1 https://erdosproblems.ai/wiki/library/additive_combinatorics/walker_2022_integer_sets_large_harmonic_sum_which https://erdosproblems.ai/wiki/library/additive_combinatorics/wang_2026_proposed_solution_erdos_problem_788 https://erdosproblems.ai/wiki/library/additive_combinatorics/wang_2026_proposed_solution_erdos_problem_788/theorem_1_1 https://erdosproblems.ai/wiki/library/additive_combinatorics/white_2022_erdos_minimum_overlap_problem https://erdosproblems.ai/wiki/library/additive_combinatorics/wolf_2010_minimum_number_monochromatic_4_term_progressions https://erdosproblems.ai/wiki/library/additive_combinatorics/wolf_2010_minimum_number_monochromatic_4_term_progressions/lemma_2_1 https://erdosproblems.ai/wiki/library/additive_combinatorics/wolf_2010_minimum_number_monochromatic_4_term_progressions/theorem_1_1 https://erdosproblems.ai/wiki/library/additive_combinatorics/wolf_2010_minimum_number_monochromatic_4_term_progressions/theorem_1_2 https://erdosproblems.ai/wiki/library/additive_combinatorics/yang_2026_exact_values_exact_upper_bounds_families_integers_arithmetic_progression_intersections_erdos_problem_272 https://erdosproblems.ai/wiki/library/additive_combinatorics/ye_et_al_2026_structured_scaling_ai_discovery_across_diverse_scientific_domains https://erdosproblems.ai/wiki/library/additive_combinatorics/ye_et_al_2026_structured_scaling_ai_discovery_across_diverse_scientific_domains/problem_o_1 https://erdosproblems.ai/wiki/library/additive_combinatorics/ye_et_al_2026_structured_scaling_ai_discovery_across_diverse_scientific_domains/theorem_3 https://erdosproblems.ai/wiki/library/additive_combinatorics/yuksekgonul_2026_learning_discover_test_time https://erdosproblems.ai/wiki/library/additive_combinatorics/zhelezov_palvolgyi_2020_query_complexity_polynomial_freiman_ruzsa_conjecture https://erdosproblems.ai/wiki/library/additive_combinatorics/zhelezov_palvolgyi_2020_query_complexity_polynomial_freiman_ruzsa_conjecture/lemma_4_1 https://erdosproblems.ai/wiki/library/additive_combinatorics/zhelezov_palvolgyi_2020_query_complexity_polynomial_freiman_ruzsa_conjecture/proposition_1_5 https://erdosproblems.ai/wiki/library/additive_combinatorics/zhelezov_palvolgyi_2020_query_complexity_polynomial_freiman_ruzsa_conjecture/theorem_1_1 https://erdosproblems.ai/wiki/library/additive_combinatorics/zhelezov_palvolgyi_2020_query_complexity_polynomial_freiman_ruzsa_conjecture/theorem_1_2 https://erdosproblems.ai/wiki/library/additive_combinatorics/zhelezov_palvolgyi_2020_query_complexity_polynomial_freiman_ruzsa_conjecture/theorem_1_3 https://erdosproblems.ai/wiki/library/additive_combinatorics/zhelezov_palvolgyi_2020_query_complexity_polynomial_freiman_ruzsa_conjecture/theorem_1_4 https://erdosproblems.ai/wiki/library/analysis https://erdosproblems.ai/wiki/library/analysis/anderson_1967_example_dimension_theory https://erdosproblems.ai/wiki/library/analysis/anderson_1967_example_dimension_theory/theorem_1 https://erdosproblems.ai/wiki/library/analysis/anderson_1967_example_dimension_theory/theorem_2 https://erdosproblems.ai/wiki/library/analysis/armentano_et_al_2025_characterization_logarithmic_fekete_critical_configurations_at_most_six_points_all_dimensions https://erdosproblems.ai/wiki/library/analysis/atkinson_1961_problem_erdos_szekeres https://erdosproblems.ai/wiki/library/analysis/atkinson_1961_problem_erdos_szekeres/inequality_5 https://erdosproblems.ai/wiki/library/analysis/atkinson_1961_problem_erdos_szekeres/lemma_1 https://erdosproblems.ai/wiki/library/analysis/atkinson_1961_problem_erdos_szekeres/lemma_2 https://erdosproblems.ai/wiki/library/analysis/atkinson_1961_sums_powers_complex_numbers https://erdosproblems.ai/wiki/library/analysis/atkinson_1961_sums_powers_complex_numbers/inequality_3 https://erdosproblems.ai/wiki/library/analysis/bedert_2025_polynomial_bounds_chowla_cosine_problem https://erdosproblems.ai/wiki/library/analysis/belov_1996_estimate_free_term_nonnegative_trigonometric_polynomial https://erdosproblems.ai/wiki/library/analysis/belov_1996_estimate_free_term_nonnegative_trigonometric_polynomial/corollary_1 https://erdosproblems.ai/wiki/library/analysis/belov_1996_estimate_free_term_nonnegative_trigonometric_polynomial/corollary_2 https://erdosproblems.ai/wiki/library/analysis/belov_1996_estimate_free_term_nonnegative_trigonometric_polynomial/theorem_1 https://erdosproblems.ai/wiki/library/analysis/belov_1996_estimate_free_term_nonnegative_trigonometric_polynomial/theorem_2 https://erdosproblems.ai/wiki/library/analysis/belov_1996_estimate_free_term_nonnegative_trigonometric_polynomial/theorem_3 https://erdosproblems.ai/wiki/library/analysis/belov_1996_estimate_free_term_nonnegative_trigonometric_polynomial/theorem_4 https://erdosproblems.ai/wiki/library/analysis/biro_1994_problem_turan_concerning_sums_powers_complex https://erdosproblems.ai/wiki/library/analysis/biro_1994_problem_turan_concerning_sums_powers_complex/lemma_1 https://erdosproblems.ai/wiki/library/analysis/biro_1994_problem_turan_concerning_sums_powers_complex/theorem_1 https://erdosproblems.ai/wiki/library/analysis/biro_1994_problem_turan_concerning_sums_powers_complex/theorem_2 https://erdosproblems.ai/wiki/library/analysis/biro_2000_improved_estimate_power_sum_problem_turan https://erdosproblems.ai/wiki/library/analysis/biro_2000_improved_estimate_power_sum_problem_turan/theorem https://erdosproblems.ai/wiki/library/analysis/biro_2000_upper_estimate_turan_pure_power_sum_problem https://erdosproblems.ai/wiki/library/analysis/biro_2000_upper_estimate_turan_pure_power_sum_problem/theorem https://erdosproblems.ai/wiki/library/analysis/bonami_revesz_2007_integral_concentration_idempotent_trigonometric_polynomials_gaps https://erdosproblems.ai/wiki/library/analysis/bonami_revesz_2007_integral_concentration_idempotent_trigonometric_polynomials_gaps/proposition_10 https://erdosproblems.ai/wiki/library/analysis/bonami_revesz_2007_integral_concentration_idempotent_trigonometric_polynomials_gaps/proposition_16 https://erdosproblems.ai/wiki/library/analysis/bonami_revesz_2007_integral_concentration_idempotent_trigonometric_polynomials_gaps/proposition_9 https://erdosproblems.ai/wiki/library/analysis/bonami_revesz_2007_integral_concentration_idempotent_trigonometric_polynomials_gaps/theorem_50 https://erdosproblems.ai/wiki/library/analysis/bonami_revesz_2007_integral_concentration_idempotent_trigonometric_polynomials_gaps/theorem_7 https://erdosproblems.ai/wiki/library/analysis/bonami_revesz_2007_integral_concentration_idempotent_trigonometric_polynomials_gaps/theorem_8 https://erdosproblems.ai/wiki/library/analysis/bonami_revesz_saffari_2007_problemes_ouverts_theorie_analytique_polynomes_analyse_harmonique https://erdosproblems.ai/wiki/library/analysis/bonami_revesz_saffari_2007_problemes_ouverts_theorie_analytique_polynomes_analyse_harmonique/question_35 https://erdosproblems.ai/wiki/library/analysis/bonami_revesz_saffari_2007_problemes_ouverts_theorie_analytique_polynomes_analyse_harmonique/question_36 https://erdosproblems.ai/wiki/library/analysis/bonami_revesz_saffari_2007_problemes_ouverts_theorie_analytique_polynomes_analyse_harmonique/question_38 https://erdosproblems.ai/wiki/library/analysis/bonami_revesz_saffari_2007_problemes_ouverts_theorie_analytique_polynomes_analyse_harmonique/question_39 https://erdosproblems.ai/wiki/library/analysis/bonami_revesz_saffari_2007_problemes_ouverts_theorie_analytique_polynomes_analyse_harmonique/theorem_14 https://erdosproblems.ai/wiki/library/analysis/bonami_revesz_saffari_2007_problemes_ouverts_theorie_analytique_polynomes_analyse_harmonique/theorem_a https://erdosproblems.ai/wiki/library/analysis/borichev_et_al_2017_spectra_stationary_processes_z https://erdosproblems.ai/wiki/library/analysis/borichev_et_al_2017_spectra_stationary_processes_z/lemma_3 https://erdosproblems.ai/wiki/library/analysis/borichev_et_al_2017_spectra_stationary_processes_z/theorem_1 https://erdosproblems.ai/wiki/library/analysis/borichev_et_al_2017_spectra_stationary_processes_z/theorem_10 https://erdosproblems.ai/wiki/library/analysis/borichev_et_al_2017_spectra_stationary_processes_z/theorem_11 https://erdosproblems.ai/wiki/library/analysis/borichev_et_al_2017_spectra_stationary_processes_z/theorem_3 https://erdosproblems.ai/wiki/library/analysis/borichev_et_al_2017_spectra_stationary_processes_z/theorem_4 https://erdosproblems.ai/wiki/library/analysis/borichev_et_al_2017_spectra_stationary_processes_z/theorem_5 https://erdosproblems.ai/wiki/library/analysis/borichev_et_al_2017_spectra_stationary_processes_z/theorem_7 https://erdosproblems.ai/wiki/library/analysis/borichev_et_al_2017_spectra_stationary_processes_z/theorem_8 https://erdosproblems.ai/wiki/library/analysis/borichev_et_al_2017_spectra_stationary_processes_z/theorem_9 https://erdosproblems.ai/wiki/library/analysis/bourgain_1986_sur_le_minimum_d_une_somme https://erdosproblems.ai/wiki/library/analysis/bourgain_2018_paper_erdos_szekeres https://erdosproblems.ai/wiki/library/analysis/bourgain_2018_paper_erdos_szekeres/proposition_1_1 https://erdosproblems.ai/wiki/library/analysis/bourgain_2018_paper_erdos_szekeres/proposition_1_2 https://erdosproblems.ai/wiki/library/analysis/bourgain_2018_paper_erdos_szekeres/proposition_1_3 https://erdosproblems.ai/wiki/library/analysis/brauchart_2024_complete_minimal_logarithmic_energy_asymptotics_points_compact_interval_consequence_discriminant_ja https://erdosproblems.ai/wiki/library/analysis/cabrelli_lacey_molter_pipher_2005_journe_lemma_variations https://erdosproblems.ai/wiki/library/analysis/cabrelli_lacey_molter_pipher_2005_journe_lemma_variations/lemma_1_1 https://erdosproblems.ai/wiki/library/analysis/cabrelli_lacey_molter_pipher_2005_journe_lemma_variations/lemma_3_23 https://erdosproblems.ai/wiki/library/analysis/cabrelli_lacey_molter_pipher_2005_journe_lemma_variations/lemma_3_30 https://erdosproblems.ai/wiki/library/analysis/cabrelli_lacey_molter_pipher_2005_journe_lemma_variations/lemma_4_33 https://erdosproblems.ai/wiki/library/analysis/cabrelli_lacey_molter_pipher_2005_journe_lemma_variations/lemma_4_34 https://erdosproblems.ai/wiki/library/analysis/cabrelli_lacey_molter_pipher_2005_journe_lemma_variations/lemma_4_35 https://erdosproblems.ai/wiki/library/analysis/cabrelli_lacey_molter_pipher_2005_journe_lemma_variations/lemma_4_36 https://erdosproblems.ai/wiki/library/analysis/cabrelli_lacey_molter_pipher_2005_journe_lemma_variations/lemma_5_38 https://erdosproblems.ai/wiki/library/analysis/cabrelli_lacey_molter_pipher_2005_journe_lemma_variations/proposition_3_26 https://erdosproblems.ai/wiki/library/analysis/cambie_2026_maximum_product_distances_diameter_point_sets https://erdosproblems.ai/wiki/library/analysis/carnielli_2011_adjusting_conjecture_erdos https://erdosproblems.ai/wiki/library/analysis/carnielli_2011_adjusting_conjecture_erdos/conjecture_4 https://erdosproblems.ai/wiki/library/analysis/carnielli_2011_adjusting_conjecture_erdos/lemma_2 https://erdosproblems.ai/wiki/library/analysis/carnielli_2011_adjusting_conjecture_erdos/proposition_3 https://erdosproblems.ai/wiki/library/analysis/carnielli_2011_adjusting_conjecture_erdos/proposition_8 https://erdosproblems.ai/wiki/library/analysis/chojecki_2026_note_erdos_path_problem_transcendental_entire https://erdosproblems.ai/wiki/library/analysis/chojecki_2026_note_erdos_path_problem_transcendental_entire/theorem_1 https://erdosproblems.ai/wiki/library/analysis/chojecki_2026_note_erdos_path_problem_transcendental_entire/theorem_2 https://erdosproblems.ai/wiki/library/analysis/clement_steinerberger_2025_balanced_stick_breaking https://erdosproblems.ai/wiki/library/analysis/clement_steinerberger_2025_balanced_stick_breaking/theorem_2 https://erdosproblems.ai/wiki/library/analysis/csaki_2005_frequently_visited_sets_random_walks https://erdosproblems.ai/wiki/library/analysis/csaki_2005_frequently_visited_sets_random_walks/corollary_1_3 https://erdosproblems.ai/wiki/library/analysis/csaki_2005_frequently_visited_sets_random_walks/equation_4_1 https://erdosproblems.ai/wiki/library/analysis/csaki_2005_frequently_visited_sets_random_walks/lemma_2_1 https://erdosproblems.ai/wiki/library/analysis/csaki_2005_frequently_visited_sets_random_walks/lemma_2_2 https://erdosproblems.ai/wiki/library/analysis/csaki_2005_frequently_visited_sets_random_walks/theorem_1_1 https://erdosproblems.ai/wiki/library/analysis/csaki_2005_frequently_visited_sets_random_walks/theorem_1_2 https://erdosproblems.ai/wiki/library/analysis/csaki_2005_frequently_visited_sets_random_walks/theorem_1_4 https://erdosproblems.ai/wiki/library/analysis/danzer_pommerenke_1967_ber_die_diskriminante_von_mengen_gegebenen_durchmessers https://erdosproblems.ai/wiki/library/analysis/danzer_pommerenke_1967_ber_die_diskriminante_von_mengen_gegebenen_durchmessers/remark_p101 https://erdosproblems.ai/wiki/library/analysis/danzer_pommerenke_1967_ber_die_diskriminante_von_mengen_gegebenen_durchmessers/theorem_1 https://erdosproblems.ai/wiki/library/analysis/danzer_pommerenke_1967_ber_die_diskriminante_von_mengen_gegebenen_durchmessers/theorem_2 https://erdosproblems.ai/wiki/library/analysis/debruijn_1951_functions_whose_differences_belong_given_class https://erdosproblems.ai/wiki/library/analysis/debruijn_1951_functions_whose_differences_belong_given_class/conjecture_p195 https://erdosproblems.ai/wiki/library/analysis/debruijn_1951_functions_whose_differences_belong_given_class/theorem_1_1 https://erdosproblems.ai/wiki/library/analysis/debruijn_1951_functions_whose_differences_belong_given_class/theorem_1_2 https://erdosproblems.ai/wiki/library/analysis/debruijn_1951_functions_whose_differences_belong_given_class/theorem_4_1 https://erdosproblems.ai/wiki/library/analysis/debruijn_1951_functions_whose_differences_belong_given_class/theorem_5_1 https://erdosproblems.ai/wiki/library/analysis/debruijn_1966_almost_additive_functions https://erdosproblems.ai/wiki/library/analysis/debruijn_1966_almost_additive_functions/corollary_section_6 https://erdosproblems.ai/wiki/library/analysis/debruijn_1966_almost_additive_functions/hartman_theorem https://erdosproblems.ai/wiki/library/analysis/debruijn_1966_almost_additive_functions/main_theorem https://erdosproblems.ai/wiki/library/analysis/debruijn_1966_almost_additive_functions/theorem_1 https://erdosproblems.ai/wiki/library/analysis/debruijn_1966_almost_additive_functions/theorem_2 https://erdosproblems.ai/wiki/library/analysis/debruijn_1966_almost_additive_functions/theorem_3 https://erdosproblems.ai/wiki/library/analysis/debruijn_erdos_1949_sequences_points_circle https://erdosproblems.ai/wiki/library/analysis/debruijn_erdos_1949_sequences_points_circle/conjecture_p17 https://erdosproblems.ai/wiki/library/analysis/debruijn_erdos_1949_sequences_points_circle/inequality_3_3 https://erdosproblems.ai/wiki/library/analysis/debruijn_erdos_1949_sequences_points_circle/inequality_4_3 https://erdosproblems.ai/wiki/library/analysis/debruijn_erdos_1949_sequences_points_circle/inequality_5_7 https://erdosproblems.ai/wiki/library/analysis/debruijn_erdos_1949_sequences_points_circle/section_2_r_equals_1 https://erdosproblems.ai/wiki/library/analysis/dembo_2004_cover_times_brownian_motion_random_walks https://erdosproblems.ai/wiki/library/analysis/dembo_2004_cover_times_brownian_motion_random_walks/radius_distribution https://erdosproblems.ai/wiki/library/analysis/dembo_2004_cover_times_brownian_motion_random_walks/theorem_1_1 https://erdosproblems.ai/wiki/library/analysis/dembo_2004_cover_times_brownian_motion_random_walks/theorem_1_2 https://erdosproblems.ai/wiki/library/analysis/dembo_2004_cover_times_brownian_motion_random_walks/theorem_1_3 https://erdosproblems.ai/wiki/library/analysis/dembo_2004_cover_times_brownian_motion_random_walks/theorem_1_4 https://erdosproblems.ai/wiki/library/analysis/dembo_2007_how_large_disc_covered_random_walk https://erdosproblems.ai/wiki/library/analysis/dembo_2007_how_large_disc_covered_random_walk/theorem_1_1 https://erdosproblems.ai/wiki/library/analysis/dembo_2007_how_large_disc_covered_random_walk/theorem_1_2 https://erdosproblems.ai/wiki/library/analysis/dembo_2007_how_large_disc_covered_random_walk/theorem_1_3 https://erdosproblems.ai/wiki/library/analysis/dembo_2007_how_large_disc_covered_random_walk/theorem_1_4 https://erdosproblems.ai/wiki/library/analysis/downarowicz_lacroix_1998_merit_factors_morse_sequences https://erdosproblems.ai/wiki/library/analysis/downarowicz_lacroix_1998_merit_factors_morse_sequences/corollary_3 https://erdosproblems.ai/wiki/library/analysis/downarowicz_lacroix_1998_merit_factors_morse_sequences/lemma_0 https://erdosproblems.ai/wiki/library/analysis/downarowicz_lacroix_1998_merit_factors_morse_sequences/theorem_1 https://erdosproblems.ai/wiki/library/analysis/downarowicz_lacroix_1998_merit_factors_morse_sequences/theorem_2 https://erdosproblems.ai/wiki/library/analysis/dvoretzky_1959_divergence_random_power_series https://erdosproblems.ai/wiki/library/analysis/dvoretzky_1959_divergence_random_power_series/corollary https://erdosproblems.ai/wiki/library/analysis/dvoretzky_1959_divergence_random_power_series/remark_4_1 https://erdosproblems.ai/wiki/library/analysis/dvoretzky_1959_divergence_random_power_series/theorem https://erdosproblems.ai/wiki/library/analysis/edgar_2001_hausdorff_dimension_analytic_sets_transcendence https://erdosproblems.ai/wiki/library/analysis/edgar_2001_hausdorff_dimension_analytic_sets_transcendence/theorem https://erdosproblems.ai/wiki/library/analysis/edgar_2003_borel_subrings_reals https://erdosproblems.ai/wiki/library/analysis/edgar_2003_borel_subrings_reals/theorem_1 https://erdosproblems.ai/wiki/library/analysis/edgar_2003_borel_subrings_reals/theorem_2 https://erdosproblems.ai/wiki/library/analysis/edgar_2003_borel_subrings_reals/theorem_3 https://erdosproblems.ai/wiki/library/analysis/erdos_1945_lemma_littlewood_offord https://erdosproblems.ai/wiki/library/analysis/erdos_1945_lemma_littlewood_offord/binomial_bounds https://erdosproblems.ai/wiki/library/analysis/erdos_1945_lemma_littlewood_offord/boundary_weight_real https://erdosproblems.ai/wiki/library/analysis/erdos_1945_lemma_littlewood_offord/corollary_p899 https://erdosproblems.ai/wiki/library/analysis/erdos_1945_lemma_littlewood_offord/external_inputs https://erdosproblems.ai/wiki/library/analysis/erdos_1945_lemma_littlewood_offord/historical_conjectures https://erdosproblems.ai/wiki/library/analysis/erdos_1945_lemma_littlewood_offord/lemma_p900 https://erdosproblems.ai/wiki/library/analysis/erdos_1945_lemma_littlewood_offord/notation https://erdosproblems.ai/wiki/library/analysis/erdos_1945_lemma_littlewood_offord/theorem_1 https://erdosproblems.ai/wiki/library/analysis/erdos_1945_lemma_littlewood_offord/theorem_2 https://erdosproblems.ai/wiki/library/analysis/erdos_1945_lemma_littlewood_offord/theorem_3 https://erdosproblems.ai/wiki/library/analysis/erdos_1945_lemma_littlewood_offord/theorem_4 https://erdosproblems.ai/wiki/library/analysis/erdos_1945_lemma_littlewood_offord/theorem_5 https://erdosproblems.ai/wiki/library/analysis/erdos_1949_strong_law_large_numbers https://erdosproblems.ai/wiki/library/analysis/erdos_1949_strong_law_large_numbers/remark_p52 https://erdosproblems.ai/wiki/library/analysis/erdos_1949_strong_law_large_numbers/theorem_1 https://erdosproblems.ai/wiki/library/analysis/erdos_1949_strong_law_large_numbers/theorem_2 https://erdosproblems.ai/wiki/library/analysis/erdos_1950_distribution_roots_polynomials https://erdosproblems.ai/wiki/library/analysis/erdos_1950_distribution_roots_polynomials/theorem_i https://erdosproblems.ai/wiki/library/analysis/erdos_1950_distribution_roots_polynomials/theorem_ii https://erdosproblems.ai/wiki/library/analysis/erdos_1954_integral_functions_gap_power_series https://erdosproblems.ai/wiki/library/analysis/erdos_1954_integral_functions_gap_power_series/theorem_1 https://erdosproblems.ai/wiki/library/analysis/erdos_1954_integral_functions_gap_power_series/theorem_2 https://erdosproblems.ai/wiki/library/analysis/erdos_1954_integral_functions_gap_power_series/theorem_3 https://erdosproblems.ai/wiki/library/analysis/erdos_1954_integral_functions_gap_power_series/theorem_4 https://erdosproblems.ai/wiki/library/analysis/erdos_1955_polynomials_whose_zeros_lie_unit_circle https://erdosproblems.ai/wiki/library/analysis/erdos_1955_polynomials_whose_zeros_lie_unit_circle/problem_p347 https://erdosproblems.ai/wiki/library/analysis/erdos_1955_polynomials_whose_zeros_lie_unit_circle/question_p347 https://erdosproblems.ai/wiki/library/analysis/erdos_1955_polynomials_whose_zeros_lie_unit_circle/theorem_1 https://erdosproblems.ai/wiki/library/analysis/erdos_1955_polynomials_whose_zeros_lie_unit_circle/theorem_2 https://erdosproblems.ai/wiki/library/analysis/erdos_1959_product https://erdosproblems.ai/wiki/library/analysis/erdos_1959_product/conjecture_p30 https://erdosproblems.ai/wiki/library/analysis/erdos_1959_product/theorem_1 https://erdosproblems.ai/wiki/library/analysis/erdos_1959_product/theorem_2 https://erdosproblems.ai/wiki/library/analysis/erdos_1959_product/theorem_3 https://erdosproblems.ai/wiki/library/analysis/erdos_1960_problems_concerning_structure_random_walk_paths https://erdosproblems.ai/wiki/library/analysis/erdos_1960_problems_concerning_structure_random_walk_paths/equation_2_5 https://erdosproblems.ai/wiki/library/analysis/erdos_1960_problems_concerning_structure_random_walk_paths/equation_3_11 https://erdosproblems.ai/wiki/library/analysis/erdos_1960_problems_concerning_structure_random_walk_paths/planar_maximum_multiplicity https://erdosproblems.ai/wiki/library/analysis/erdos_1960_problems_concerning_structure_random_walk_paths/theorem_1 https://erdosproblems.ai/wiki/library/analysis/erdos_1960_problems_concerning_structure_random_walk_paths/theorem_10 https://erdosproblems.ai/wiki/library/analysis/erdos_1960_problems_concerning_structure_random_walk_paths/theorem_11 https://erdosproblems.ai/wiki/library/analysis/erdos_1960_problems_concerning_structure_random_walk_paths/theorem_12 https://erdosproblems.ai/wiki/library/analysis/erdos_1960_problems_concerning_structure_random_walk_paths/theorem_13 https://erdosproblems.ai/wiki/library/analysis/erdos_1960_problems_concerning_structure_random_walk_paths/theorem_7 https://erdosproblems.ai/wiki/library/analysis/erdos_1960_problems_concerning_structure_random_walk_paths/theorem_9 https://erdosproblems.ai/wiki/library/analysis/erdos_1964_arithmetical_tauberian_theorems https://erdosproblems.ai/wiki/library/analysis/erdos_1966_additive_gruppen_mit_vorgegebener_hausdorffscher_dimension https://erdosproblems.ai/wiki/library/analysis/erdos_1966_additive_gruppen_mit_vorgegebener_hausdorffscher_dimension/conjecture_p208 https://erdosproblems.ai/wiki/library/analysis/erdos_1966_additive_gruppen_mit_vorgegebener_hausdorffscher_dimension/satz_1 https://erdosproblems.ai/wiki/library/analysis/erdos_1966_additive_gruppen_mit_vorgegebener_hausdorffscher_dimension/satz_2 https://erdosproblems.ai/wiki/library/analysis/erdos_1966_additive_gruppen_mit_vorgegebener_hausdorffscher_dimension/satz_3 https://erdosproblems.ai/wiki/library/analysis/erdos_1973_remark_polynomials_transfinite_diameter https://erdosproblems.ai/wiki/library/analysis/erdos_1973_remark_polynomials_transfinite_diameter/lemma_p23 https://erdosproblems.ai/wiki/library/analysis/erdos_1973_remark_polynomials_transfinite_diameter/theorem_p23 https://erdosproblems.ai/wiki/library/analysis/erdos_1976_extremal_problems_polynomials https://erdosproblems.ai/wiki/library/analysis/erdos_1976_extremal_problems_polynomials/conjecture_p350 https://erdosproblems.ai/wiki/library/analysis/erdos_1976_extremal_problems_polynomials/problem_p354 https://erdosproblems.ai/wiki/library/analysis/erdos_1981_correction_misprints_our_paper_almost_everywhere https://erdosproblems.ai/wiki/library/analysis/erdos_1981_correction_misprints_our_paper_almost_everywhere/conjecture_p71 https://erdosproblems.ai/wiki/library/analysis/erdos_1981_correction_misprints_our_paper_almost_everywhere/theorem https://erdosproblems.ai/wiki/library/analysis/ghosh_2024_number_components_polynomial_lemniscates_problem_erdos https://erdosproblems.ai/wiki/library/analysis/glucksam_2024_approximate_solution_erdos_maximum_modulus_points https://erdosproblems.ai/wiki/library/analysis/glucksam_2024_approximate_solution_erdos_maximum_modulus_points/question_1_1 https://erdosproblems.ai/wiki/library/analysis/glucksam_2024_approximate_solution_erdos_maximum_modulus_points/theorem_1_2 https://erdosproblems.ai/wiki/library/analysis/goldberg_1978_counting_functions_sequences_points_entire_functions https://erdosproblems.ai/wiki/library/analysis/goldberg_1978_counting_functions_sequences_points_entire_functions/theorem https://erdosproblems.ai/wiki/library/analysis/goldberg_1979_asymptotic_curves_entire_functions_finite_order https://erdosproblems.ai/wiki/library/analysis/goldberg_1979_asymptotic_curves_entire_functions_finite_order/spiral_barriers https://erdosproblems.ai/wiki/library/analysis/goldberg_1979_asymptotic_curves_entire_functions_finite_order/theorem_1 https://erdosproblems.ai/wiki/library/analysis/goldberg_1979_asymptotic_curves_entire_functions_finite_order/theorem_2 https://erdosproblems.ai/wiki/library/analysis/goldberg_1979_asymptotic_curves_entire_functions_finite_order/theorem_4 https://erdosproblems.ai/wiki/library/analysis/goldberg_1979_asymptotic_curves_entire_functions_finite_order/theorem_5 https://erdosproblems.ai/wiki/library/analysis/goldberg_1979_sets_which_modulus_entire_function_has https://erdosproblems.ai/wiki/library/analysis/goldberg_1979_sets_which_modulus_entire_function_has/section_1 https://erdosproblems.ai/wiki/library/analysis/goldberg_1979_sets_which_modulus_entire_function_has/section_2 https://erdosproblems.ai/wiki/library/analysis/goldberg_1979_sets_which_modulus_entire_function_has/section_3 https://erdosproblems.ai/wiki/library/analysis/goodman_1966_convexity_level_curves_polynomial https://erdosproblems.ai/wiki/library/analysis/goodman_1966_convexity_level_curves_polynomial/example_p359 https://erdosproblems.ai/wiki/library/analysis/goodman_1966_convexity_level_curves_polynomial/example_p361 https://erdosproblems.ai/wiki/library/analysis/goodman_1966_convexity_level_curves_polynomial/theorem https://erdosproblems.ai/wiki/library/analysis/grow_whicher_1984_finite_unions_quasi_independent_sets https://erdosproblems.ai/wiki/library/analysis/grow_whicher_1984_finite_unions_quasi_independent_sets/equivalence_p491 https://erdosproblems.ai/wiki/library/analysis/grow_whicher_1984_finite_unions_quasi_independent_sets/proposition_p490 https://erdosproblems.ai/wiki/library/analysis/hanninen_2018_sparse_carleson_coefficients_general_sets https://erdosproblems.ai/wiki/library/analysis/hanninen_2018_sparse_carleson_coefficients_general_sets/proposition_1_4 https://erdosproblems.ai/wiki/library/analysis/hanninen_2018_sparse_carleson_coefficients_general_sets/theorem_1_3 https://erdosproblems.ai/wiki/library/analysis/hao_2024_favorite_sites_simple_random_walk_two https://erdosproblems.ai/wiki/library/analysis/hao_2024_favorite_sites_simple_random_walk_two/domino_pairing_transfer https://erdosproblems.ai/wiki/library/analysis/hao_2024_favorite_sites_simple_random_walk_two/favorite_union_corollary https://erdosproblems.ai/wiki/library/analysis/hao_2024_favorite_sites_simple_random_walk_two/lemma_2_1 https://erdosproblems.ai/wiki/library/analysis/hao_2024_favorite_sites_simple_random_walk_two/lemma_2_2 https://erdosproblems.ai/wiki/library/analysis/hao_2024_favorite_sites_simple_random_walk_two/lemma_2_3 https://erdosproblems.ai/wiki/library/analysis/hao_2024_favorite_sites_simple_random_walk_two/lemma_2_4 https://erdosproblems.ai/wiki/library/analysis/hao_2024_favorite_sites_simple_random_walk_two/lemma_2_5 https://erdosproblems.ai/wiki/library/analysis/hao_2024_favorite_sites_simple_random_walk_two/lemma_2_6 https://erdosproblems.ai/wiki/library/analysis/hao_2024_favorite_sites_simple_random_walk_two/lemma_2_7 https://erdosproblems.ai/wiki/library/analysis/hao_2024_favorite_sites_simple_random_walk_two/lemma_2_8 https://erdosproblems.ai/wiki/library/analysis/hao_2024_favorite_sites_simple_random_walk_two/lemma_3_1 https://erdosproblems.ai/wiki/library/analysis/hao_2024_favorite_sites_simple_random_walk_two/lemma_3_2 https://erdosproblems.ai/wiki/library/analysis/hao_2024_favorite_sites_simple_random_walk_two/lemma_3_3 https://erdosproblems.ai/wiki/library/analysis/hao_2024_favorite_sites_simple_random_walk_two/lemma_4_1 https://erdosproblems.ai/wiki/library/analysis/hao_2024_favorite_sites_simple_random_walk_two/lemma_4_10 https://erdosproblems.ai/wiki/library/analysis/hao_2024_favorite_sites_simple_random_walk_two/lemma_4_11 https://erdosproblems.ai/wiki/library/analysis/hao_2024_favorite_sites_simple_random_walk_two/lemma_4_12 https://erdosproblems.ai/wiki/library/analysis/hao_2024_favorite_sites_simple_random_walk_two/lemma_a_2 https://erdosproblems.ai/wiki/library/analysis/hao_2024_favorite_sites_simple_random_walk_two/lemma_a_4 https://erdosproblems.ai/wiki/library/analysis/hao_2024_favorite_sites_simple_random_walk_two/lemma_a_6 https://erdosproblems.ai/wiki/library/analysis/hao_2024_favorite_sites_simple_random_walk_two/lemma_a_8 https://erdosproblems.ai/wiki/library/analysis/hao_2024_favorite_sites_simple_random_walk_two/local_time_decomposition https://erdosproblems.ai/wiki/library/analysis/hao_2024_favorite_sites_simple_random_walk_two/proposition_1_3 https://erdosproblems.ai/wiki/library/analysis/hao_2024_favorite_sites_simple_random_walk_two/proposition_4_2 https://erdosproblems.ai/wiki/library/analysis/hao_2024_favorite_sites_simple_random_walk_two/proposition_4_3 https://erdosproblems.ai/wiki/library/analysis/hao_2024_favorite_sites_simple_random_walk_two/proposition_4_4 https://erdosproblems.ai/wiki/library/analysis/hao_2024_favorite_sites_simple_random_walk_two/proposition_4_5 https://erdosproblems.ai/wiki/library/analysis/hao_2024_favorite_sites_simple_random_walk_two/proposition_4_7 https://erdosproblems.ai/wiki/library/analysis/hao_2024_favorite_sites_simple_random_walk_two/proposition_4_8 https://erdosproblems.ai/wiki/library/analysis/hao_2024_favorite_sites_simple_random_walk_two/proposition_4_9 https://erdosproblems.ai/wiki/library/analysis/hao_2024_favorite_sites_simple_random_walk_two/proposition_a_3 https://erdosproblems.ai/wiki/library/analysis/hao_2024_favorite_sites_simple_random_walk_two/proposition_a_7 https://erdosproblems.ai/wiki/library/analysis/hao_2024_favorite_sites_simple_random_walk_two/record_levels https://erdosproblems.ai/wiki/library/analysis/hao_2024_favorite_sites_simple_random_walk_two/theorem_1_1 https://erdosproblems.ai/wiki/library/analysis/hao_2024_favorite_sites_simple_random_walk_two/theorem_1_2 https://erdosproblems.ai/wiki/library/analysis/hare_yang_2018_sidon_sets_proportionally_sidon_small_constants https://erdosproblems.ai/wiki/library/analysis/hare_yang_2018_sidon_sets_proportionally_sidon_small_constants/definition_2 https://erdosproblems.ai/wiki/library/analysis/hare_yang_2018_sidon_sets_proportionally_sidon_small_constants/lemma_3 https://erdosproblems.ai/wiki/library/analysis/hare_yang_2018_sidon_sets_proportionally_sidon_small_constants/proposition_2 https://erdosproblems.ai/wiki/library/analysis/hare_yang_2018_sidon_sets_proportionally_sidon_small_constants/proposition_4 https://erdosproblems.ai/wiki/library/analysis/hare_yang_2018_sidon_sets_proportionally_sidon_small_constants/theorem_2 https://erdosproblems.ai/wiki/library/analysis/harrison_ramsey_1996_partitioning_sidon_sets_quasi_independent_sets https://erdosproblems.ai/wiki/library/analysis/he_2024_reverse_littlewood_offord_problem_erdos https://erdosproblems.ai/wiki/library/analysis/he_2024_reverse_littlewood_offord_problem_erdos/claim_3_12_replacement https://erdosproblems.ai/wiki/library/analysis/he_2024_reverse_littlewood_offord_problem_erdos/theorem_1_1 https://erdosproblems.ai/wiki/library/analysis/he_2026_generalizing_clunie_hayman_construction_erdos_maximum https://erdosproblems.ai/wiki/library/analysis/he_2026_generalizing_clunie_hayman_construction_erdos_maximum/proposition_3_5 https://erdosproblems.ai/wiki/library/analysis/he_2026_generalizing_clunie_hayman_construction_erdos_maximum/theorem_1_2 https://erdosproblems.ai/wiki/library/analysis/he_2026_generalizing_clunie_hayman_construction_erdos_maximum/theorem_2_8 https://erdosproblems.ai/wiki/library/analysis/ho_2026_counterexamples_lacunary_dilates_via_dyadic_spike https://erdosproblems.ai/wiki/library/analysis/hollom_2025_double_jump_phase_transition_reverse_littlewood_offord https://erdosproblems.ai/wiki/library/analysis/hollom_2025_double_jump_phase_transition_reverse_littlewood_offord/theorem_1_13 https://erdosproblems.ai/wiki/library/analysis/hollom_2025_double_jump_phase_transition_reverse_littlewood_offord/theorem_1_14 https://erdosproblems.ai/wiki/library/analysis/hollom_2025_double_jump_phase_transition_reverse_littlewood_offord/theorem_1_15 https://erdosproblems.ai/wiki/library/analysis/hollom_2025_double_jump_phase_transition_reverse_littlewood_offord/theorem_1_4 https://erdosproblems.ai/wiki/library/analysis/hollom_2025_double_jump_phase_transition_reverse_littlewood_offord/theorem_1_6 https://erdosproblems.ai/wiki/library/analysis/hollom_2025_double_jump_phase_transition_reverse_littlewood_offord/theorem_1_7 https://erdosproblems.ai/wiki/library/analysis/hollom_2025_double_jump_phase_transition_reverse_littlewood_offord/theorem_1_8 https://erdosproblems.ai/wiki/library/analysis/hollom_sorkin_2025_reverse_littlewood_offord_parity_conditions https://erdosproblems.ai/wiki/library/analysis/hollom_sorkin_2025_reverse_littlewood_offord_parity_conditions/evidence https://erdosproblems.ai/wiki/library/analysis/hollom_sorkin_2025_reverse_littlewood_offord_parity_conditions/evidence/verify https://erdosproblems.ai/wiki/library/analysis/hollom_sorkin_2025_reverse_littlewood_offord_parity_conditions/evidence/verify/gap_audit https://erdosproblems.ai/wiki/library/analysis/hollom_sorkin_2025_reverse_littlewood_offord_parity_conditions/repaired_higher_dimensional_chain https://erdosproblems.ai/wiki/library/analysis/hollom_sorkin_2025_reverse_littlewood_offord_parity_conditions/theorem_1_3 https://erdosproblems.ai/wiki/library/analysis/hollom_sorkin_2025_reverse_littlewood_offord_parity_conditions/theorem_1_5 https://erdosproblems.ai/wiki/library/analysis/huang_2025_many_lemniscates_large_diameter https://erdosproblems.ai/wiki/library/analysis/huang_2025_many_lemniscates_large_diameter/theorem_1_1 https://erdosproblems.ai/wiki/library/analysis/janson_1998_new_versions_suen_correlation_inequality https://erdosproblems.ai/wiki/library/analysis/janson_1998_new_versions_suen_correlation_inequality/theorem_1 https://erdosproblems.ai/wiki/library/analysis/janson_1998_new_versions_suen_correlation_inequality/theorem_10 https://erdosproblems.ai/wiki/library/analysis/janson_1998_new_versions_suen_correlation_inequality/theorem_2 https://erdosproblems.ai/wiki/library/analysis/janson_1998_new_versions_suen_correlation_inequality/theorem_3 https://erdosproblems.ai/wiki/library/analysis/janson_1998_new_versions_suen_correlation_inequality/theorem_4 https://erdosproblems.ai/wiki/library/analysis/janson_1998_new_versions_suen_correlation_inequality/theorem_5 https://erdosproblems.ai/wiki/library/analysis/janson_1998_new_versions_suen_correlation_inequality/theorem_6 https://erdosproblems.ai/wiki/library/analysis/janson_1998_new_versions_suen_correlation_inequality/theorem_7 https://erdosproblems.ai/wiki/library/analysis/janson_1998_new_versions_suen_correlation_inequality/theorem_8 https://erdosproblems.ai/wiki/library/analysis/janson_1998_new_versions_suen_correlation_inequality/theorem_9 https://erdosproblems.ai/wiki/library/analysis/jin_2025_small_eigenvalues_large_cuts_chowla_s https://erdosproblems.ai/wiki/library/analysis/jung_2024_fifty_years_erdos_similarity_conjecture https://erdosproblems.ai/wiki/library/analysis/jung_2024_fifty_years_erdos_similarity_conjecture/corollary_3_8 https://erdosproblems.ai/wiki/library/analysis/jung_2024_fifty_years_erdos_similarity_conjecture/theorem_1_3 https://erdosproblems.ai/wiki/library/analysis/jung_2024_fifty_years_erdos_similarity_conjecture/theorem_1_4 https://erdosproblems.ai/wiki/library/analysis/jung_2024_fifty_years_erdos_similarity_conjecture/theorem_1_5 https://erdosproblems.ai/wiki/library/analysis/jung_2024_fifty_years_erdos_similarity_conjecture/theorem_1_6 https://erdosproblems.ai/wiki/library/analysis/jung_2024_fifty_years_erdos_similarity_conjecture/theorem_2_1 https://erdosproblems.ai/wiki/library/analysis/jung_2024_fifty_years_erdos_similarity_conjecture/theorem_3_6 https://erdosproblems.ai/wiki/library/analysis/jung_2024_fifty_years_erdos_similarity_conjecture/theorem_4_2 https://erdosproblems.ai/wiki/library/analysis/jung_2024_fifty_years_erdos_similarity_conjecture/theorem_7_1 https://erdosproblems.ai/wiki/library/analysis/jurkat_1965_cauchy_functional_equation https://erdosproblems.ai/wiki/library/analysis/jurkat_1965_cauchy_functional_equation/theorem_i https://erdosproblems.ai/wiki/library/analysis/jurkat_1965_cauchy_functional_equation/theorem_ii https://erdosproblems.ai/wiki/library/analysis/keleti_1998_difference_functions_periodic_measurable_functions https://erdosproblems.ai/wiki/library/analysis/kleitman_1965_lemma_littlewood_offord_distribution_certain_sums https://erdosproblems.ai/wiki/library/analysis/kleitman_1965_lemma_littlewood_offord_distribution_certain_sums/higher_dimensional_scope https://erdosproblems.ai/wiki/library/analysis/kleitman_1965_lemma_littlewood_offord_distribution_certain_sums/lemma_i https://erdosproblems.ai/wiki/library/analysis/kleitman_1965_lemma_littlewood_offord_distribution_certain_sums/lemma_ii https://erdosproblems.ai/wiki/library/analysis/kleitman_1965_lemma_littlewood_offord_distribution_certain_sums/notation https://erdosproblems.ai/wiki/library/analysis/kleitman_1965_lemma_littlewood_offord_distribution_certain_sums/open_disc_transfer https://erdosproblems.ai/wiki/library/analysis/kleitman_1965_lemma_littlewood_offord_distribution_certain_sums/remark_p253 https://erdosproblems.ai/wiki/library/analysis/kleitman_1965_lemma_littlewood_offord_distribution_certain_sums/theorem_i https://erdosproblems.ai/wiki/library/analysis/kleitman_1965_lemma_littlewood_offord_distribution_certain_sums/theorem_ii https://erdosproblems.ai/wiki/library/analysis/kleitman_1965_lemma_littlewood_offord_distribution_certain_sums/theorem_iii https://erdosproblems.ai/wiki/library/analysis/konyagin_1981_littlewood_problem https://erdosproblems.ai/wiki/library/analysis/konyagin_1981_littlewood_problem/corollary_1 https://erdosproblems.ai/wiki/library/analysis/konyagin_1981_littlewood_problem/corollary_2 https://erdosproblems.ai/wiki/library/analysis/konyagin_1981_littlewood_problem/corollary_3 https://erdosproblems.ai/wiki/library/analysis/konyagin_1981_littlewood_problem/theorem https://erdosproblems.ai/wiki/library/analysis/korsky_2026_improved_lower_bound_debruijn_erdos_consecutive_gap_problem https://erdosproblems.ai/wiki/library/analysis/korsky_2026_improved_lower_bound_debruijn_erdos_consecutive_gap_problem/theorem_1_1 https://erdosproblems.ai/wiki/library/analysis/korsky_2026_resolution_debruijn_erdos_consecutive_gap_problem https://erdosproblems.ai/wiki/library/analysis/korsky_2026_resolution_debruijn_erdos_consecutive_gap_problem/theorem_1_1 https://erdosproblems.ai/wiki/library/analysis/laczkovich_1980_functions_measurable_differences https://erdosproblems.ai/wiki/library/analysis/laczkovich_1980_functions_measurable_differences/evidence https://erdosproblems.ai/wiki/library/analysis/laczkovich_1980_functions_measurable_differences/evidence/verify https://erdosproblems.ai/wiki/library/analysis/laczkovich_1980_functions_measurable_differences/evidence/verify/formulation_review https://erdosproblems.ai/wiki/library/analysis/laczkovich_1980_functions_measurable_differences/theorem_3 https://erdosproblems.ai/wiki/library/analysis/laczkovich_1980_functions_measurable_differences/theorem_4 https://erdosproblems.ai/wiki/library/analysis/laczkovich_1980_functions_measurable_differences/theorem_5 https://erdosproblems.ai/wiki/library/analysis/laczkovich_1984_kemperman_s_inequality https://erdosproblems.ai/wiki/library/analysis/laczkovich_1984_kemperman_s_inequality/backward_closure https://erdosproblems.ai/wiki/library/analysis/laczkovich_1984_kemperman_s_inequality/continued_fraction_inputs https://erdosproblems.ai/wiki/library/analysis/laczkovich_1984_kemperman_s_inequality/definitions https://erdosproblems.ai/wiki/library/analysis/laczkovich_1984_kemperman_s_inequality/lemma_1 https://erdosproblems.ai/wiki/library/analysis/laczkovich_1984_kemperman_s_inequality/lemma_2 https://erdosproblems.ai/wiki/library/analysis/laczkovich_1984_kemperman_s_inequality/positive_increments https://erdosproblems.ai/wiki/library/analysis/laczkovich_1984_kemperman_s_inequality/rational_counterexample https://erdosproblems.ai/wiki/library/analysis/laczkovich_1984_kemperman_s_inequality/stronger_max_inequality https://erdosproblems.ai/wiki/library/analysis/laczkovich_1984_kemperman_s_inequality/theorem_1 https://erdosproblems.ai/wiki/library/analysis/laczkovich_1984_kemperman_s_inequality/theorem_2 https://erdosproblems.ai/wiki/library/analysis/lefevre_et_al_2009_thin_sets_integers_harmonic_analysis_p_stable_random_fourier_series https://erdosproblems.ai/wiki/library/analysis/lefevre_et_al_2009_thin_sets_integers_harmonic_analysis_p_stable_random_fourier_series/lemma_4_5 https://erdosproblems.ai/wiki/library/analysis/lefevre_et_al_2009_thin_sets_integers_harmonic_analysis_p_stable_random_fourier_series/lemma_4_6 https://erdosproblems.ai/wiki/library/analysis/lefevre_et_al_2009_thin_sets_integers_harmonic_analysis_p_stable_random_fourier_series/theorem_3_1 https://erdosproblems.ai/wiki/library/analysis/lefevre_et_al_2009_thin_sets_integers_harmonic_analysis_p_stable_random_fourier_series/theorem_3_4 https://erdosproblems.ai/wiki/library/analysis/lefevre_et_al_2009_thin_sets_integers_harmonic_analysis_p_stable_random_fourier_series/theorem_3_5 https://erdosproblems.ai/wiki/library/analysis/lefevre_et_al_2009_thin_sets_integers_harmonic_analysis_p_stable_random_fourier_series/theorem_4_2 https://erdosproblems.ai/wiki/library/analysis/lefevre_et_al_2009_thin_sets_integers_harmonic_analysis_p_stable_random_fourier_series/theorem_4_3 https://erdosproblems.ai/wiki/library/analysis/lefevre_et_al_2009_thin_sets_integers_harmonic_analysis_p_stable_random_fourier_series/theorem_4_4 https://erdosproblems.ai/wiki/library/analysis/lefevre_et_al_2009_thin_sets_integers_harmonic_analysis_p_stable_random_fourier_series/theorem_5_1 https://erdosproblems.ai/wiki/library/analysis/lewko_2026_sidon_decomposition_problem_abelian_groups_bounded_torsion https://erdosproblems.ai/wiki/library/analysis/michelen_2025_convergent_points_random_power_series_unit https://erdosproblems.ai/wiki/library/analysis/murai_1983_deficiency_entire_functions_fejer_gaps https://erdosproblems.ai/wiki/library/analysis/murai_1983_deficiency_entire_functions_fejer_gaps/assertion_p56 https://erdosproblems.ai/wiki/library/analysis/murai_1983_deficiency_entire_functions_fejer_gaps/construction_p52 https://erdosproblems.ai/wiki/library/analysis/murai_1983_deficiency_entire_functions_fejer_gaps/proposition_p46 https://erdosproblems.ai/wiki/library/analysis/murai_1983_deficiency_entire_functions_fejer_gaps/theorem_p39 https://erdosproblems.ai/wiki/library/analysis/openai_2026_dyadic_case_erdos_similarity_conjecture https://erdosproblems.ai/wiki/library/analysis/openai_2026_dyadic_case_erdos_similarity_conjecture/lemma_2_1 https://erdosproblems.ai/wiki/library/analysis/openai_2026_dyadic_case_erdos_similarity_conjecture/theorem_1_1 https://erdosproblems.ai/wiki/library/analysis/openai_2026_geometric_case_erdos_similarity_conjecture https://erdosproblems.ai/wiki/library/analysis/openai_2026_geometric_case_erdos_similarity_conjecture/proposition_2_1 https://erdosproblems.ai/wiki/library/analysis/openai_2026_geometric_case_erdos_similarity_conjecture/theorem_1_1 https://erdosproblems.ai/wiki/library/analysis/oriike_2026_negative_answer_universal_function_version_erdos https://erdosproblems.ai/wiki/library/analysis/oriike_2026_negative_answer_universal_function_version_erdos/corollary_1 https://erdosproblems.ai/wiki/library/analysis/oriike_2026_negative_answer_universal_function_version_erdos/theorem_1 https://erdosproblems.ai/wiki/library/analysis/pendyala_2026_shortest_paths_polynomial_lemniscate_sublevel_sets https://erdosproblems.ai/wiki/library/analysis/pendyala_2026_shortest_paths_polynomial_lemniscate_sublevel_sets/proposition_9_7 https://erdosproblems.ai/wiki/library/analysis/pendyala_2026_shortest_paths_polynomial_lemniscate_sublevel_sets/theorem_1_2 https://erdosproblems.ai/wiki/library/analysis/pisier_1983_arithmetic_characterizations_sidon_sets https://erdosproblems.ai/wiki/library/analysis/pisier_1983_arithmetic_characterizations_sidon_sets/proposition_p88 https://erdosproblems.ai/wiki/library/analysis/pisier_1983_arithmetic_characterizations_sidon_sets/theorem_1 https://erdosproblems.ai/wiki/library/analysis/pisier_1983_arithmetic_characterizations_sidon_sets/theorem_2 https://erdosproblems.ai/wiki/library/analysis/pommerenke_1959_some_problems_erdos_herzog_piranian https://erdosproblems.ai/wiki/library/analysis/pommerenke_1959_some_problems_erdos_herzog_piranian/theorem_1 https://erdosproblems.ai/wiki/library/analysis/pommerenke_1959_some_problems_erdos_herzog_piranian/theorem_2 https://erdosproblems.ai/wiki/library/analysis/pommerenke_1959_some_problems_erdos_herzog_piranian/theorem_3 https://erdosproblems.ai/wiki/library/analysis/pommerenke_1959_some_problems_erdos_herzog_piranian/theorem_4 https://erdosproblems.ai/wiki/library/analysis/pommerenke_1961_metric_properties_complex_polynomials https://erdosproblems.ai/wiki/library/analysis/pommerenke_1961_metric_properties_complex_polynomials/example_p103 https://erdosproblems.ai/wiki/library/analysis/pommerenke_1961_metric_properties_complex_polynomials/example_p98 https://erdosproblems.ai/wiki/library/analysis/pommerenke_1961_metric_properties_complex_polynomials/theorem_1 https://erdosproblems.ai/wiki/library/analysis/pommerenke_1961_metric_properties_complex_polynomials/theorem_10 https://erdosproblems.ai/wiki/library/analysis/pommerenke_1961_metric_properties_complex_polynomials/theorem_14 https://erdosproblems.ai/wiki/library/analysis/pommerenke_1961_metric_properties_complex_polynomials/theorem_16 https://erdosproblems.ai/wiki/library/analysis/pommerenke_1961_metric_properties_complex_polynomials/theorem_3 https://erdosproblems.ai/wiki/library/analysis/pommerenke_1961_metric_properties_complex_polynomials/theorem_4 https://erdosproblems.ai/wiki/library/analysis/pommerenke_1961_metric_properties_complex_polynomials/theorem_9 https://erdosproblems.ai/wiki/library/analysis/ramsey_graham_2006_permutation_extension_planar_quasi_independent_subsets_roots_unity https://erdosproblems.ai/wiki/library/analysis/ramsey_graham_2006_permutation_extension_planar_quasi_independent_subsets_roots_unity/corollary_2_1_3 https://erdosproblems.ai/wiki/library/analysis/ramsey_graham_2006_permutation_extension_planar_quasi_independent_subsets_roots_unity/corollary_2_1_4 https://erdosproblems.ai/wiki/library/analysis/ramsey_graham_2006_permutation_extension_planar_quasi_independent_subsets_roots_unity/theorem_1_2_1 https://erdosproblems.ai/wiki/library/analysis/ramsey_graham_2006_permutation_extension_planar_quasi_independent_subsets_roots_unity/theorem_1_2_2 https://erdosproblems.ai/wiki/library/analysis/ramsey_graham_2006_permutation_extension_planar_quasi_independent_subsets_roots_unity/theorem_3_1_2 https://erdosproblems.ai/wiki/library/analysis/ramsey_graham_2006_permutation_extension_planar_quasi_independent_subsets_roots_unity/theorem_4_1_1 https://erdosproblems.ai/wiki/library/analysis/ramsey_graham_2006_planar_sidonicity_quasi_independence_multiplicative_subgroups_roots_unity https://erdosproblems.ai/wiki/library/analysis/ramsey_graham_2006_planar_sidonicity_quasi_independence_multiplicative_subgroups_roots_unity/corollary_2_11 https://erdosproblems.ai/wiki/library/analysis/ramsey_graham_2006_planar_sidonicity_quasi_independence_multiplicative_subgroups_roots_unity/definition_1_1 https://erdosproblems.ai/wiki/library/analysis/ramsey_graham_2006_planar_sidonicity_quasi_independence_multiplicative_subgroups_roots_unity/example_7_3 https://erdosproblems.ai/wiki/library/analysis/ramsey_graham_2006_planar_sidonicity_quasi_independence_multiplicative_subgroups_roots_unity/proposition_1_2 https://erdosproblems.ai/wiki/library/analysis/ramsey_graham_2006_planar_sidonicity_quasi_independence_multiplicative_subgroups_roots_unity/proposition_7_5 https://erdosproblems.ai/wiki/library/analysis/ramsey_graham_2006_planar_sidonicity_quasi_independence_multiplicative_subgroups_roots_unity/theorem_1_4 https://erdosproblems.ai/wiki/library/analysis/ramsey_graham_2006_planar_sidonicity_quasi_independence_multiplicative_subgroups_roots_unity/theorem_2_12 https://erdosproblems.ai/wiki/library/analysis/ramsey_graham_2006_planar_sidonicity_quasi_independence_multiplicative_subgroups_roots_unity/theorem_3_1 https://erdosproblems.ai/wiki/library/analysis/ramsey_graham_2006_planar_sidonicity_quasi_independence_multiplicative_subgroups_roots_unity/theorem_4_1 https://erdosproblems.ai/wiki/library/analysis/ramsey_graham_2006_planar_sidonicity_quasi_independence_multiplicative_subgroups_roots_unity/theorem_5_1 https://erdosproblems.ai/wiki/library/analysis/ramsey_graham_2006_planar_sidonicity_quasi_independence_multiplicative_subgroups_roots_unity/theorem_5_5 https://erdosproblems.ai/wiki/library/analysis/ramsey_graham_2006_planar_sidonicity_quasi_independence_multiplicative_subgroups_roots_unity/theorem_6_3 https://erdosproblems.ai/wiki/library/analysis/ramsey_graham_2006_planar_sidonicity_quasi_independence_multiplicative_subgroups_roots_unity/theorem_6_4 https://erdosproblems.ai/wiki/library/analysis/ramsey_graham_2006_planar_sidonicity_quasi_independence_multiplicative_subgroups_roots_unity/theorem_7_4 https://erdosproblems.ai/wiki/library/analysis/rudin_1958_connected_subset_plane https://erdosproblems.ai/wiki/library/analysis/rudin_1958_connected_subset_plane/evidence https://erdosproblems.ai/wiki/library/analysis/rudin_1958_connected_subset_plane/evidence/verify https://erdosproblems.ai/wiki/library/analysis/rudin_1958_connected_subset_plane/evidence/verify/formulation_review https://erdosproblems.ai/wiki/library/analysis/saff_sheil_small_1974_coefficient_integral_mean_estimates_restricted_zeros https://erdosproblems.ai/wiki/library/analysis/saff_sheil_small_1974_coefficient_integral_mean_estimates_restricted_zeros/evidence https://erdosproblems.ai/wiki/library/analysis/saff_sheil_small_1974_coefficient_integral_mean_estimates_restricted_zeros/evidence/verify https://erdosproblems.ai/wiki/library/analysis/saff_sheil_small_1974_coefficient_integral_mean_estimates_restricted_zeros/evidence/verify/full_proof_review https://erdosproblems.ai/wiki/library/analysis/saff_sheil_small_1974_coefficient_integral_mean_estimates_restricted_zeros/evidence/verify/publication_grade_r3 https://erdosproblems.ai/wiki/library/analysis/saff_sheil_small_1974_coefficient_integral_mean_estimates_restricted_zeros/evidence/verify/publication_review https://erdosproblems.ai/wiki/library/analysis/saff_sheil_small_1974_coefficient_integral_mean_estimates_restricted_zeros/evidence/verify/publication_review_fresh https://erdosproblems.ai/wiki/library/analysis/saff_sheil_small_1974_coefficient_integral_mean_estimates_restricted_zeros/evidence/verify/publication_review_grade_fresh https://erdosproblems.ai/wiki/library/analysis/saff_sheil_small_1974_coefficient_integral_mean_estimates_restricted_zeros/evidence/verify/publication_review_r3 https://erdosproblems.ai/wiki/library/analysis/saff_sheil_small_1974_coefficient_integral_mean_estimates_restricted_zeros/evidence/verify/transfer_repair_grade https://erdosproblems.ai/wiki/library/analysis/saff_sheil_small_1974_coefficient_integral_mean_estimates_restricted_zeros/evidence/verify/transfer_repair_review https://erdosproblems.ai/wiki/library/analysis/saff_sheil_small_1974_coefficient_integral_mean_estimates_restricted_zeros/external_inputs https://erdosproblems.ai/wiki/library/analysis/saff_sheil_small_1974_coefficient_integral_mean_estimates_restricted_zeros/theorem_1 https://erdosproblems.ai/wiki/library/analysis/saff_sheil_small_1974_coefficient_integral_mean_estimates_restricted_zeros/theorem_2 https://erdosproblems.ai/wiki/library/analysis/saff_sheil_small_1974_coefficient_integral_mean_estimates_restricted_zeros/theorem_3 https://erdosproblems.ai/wiki/library/analysis/sothanaphan_2025_improved_lower_bound_erdos_problem_concerning https://erdosproblems.ai/wiki/library/analysis/steinhaus_1920_sur_les_distances_des_points_dans https://erdosproblems.ai/wiki/library/analysis/toppila_1976_counting_function_values_meromorphic_function https://erdosproblems.ai/wiki/library/analysis/toth_2001_three_favorite_sites_simple_random_walk https://erdosproblems.ai/wiki/library/analysis/toth_2001_three_favorite_sites_simple_random_walk/theorem_1 https://erdosproblems.ai/wiki/library/analysis/wang_2026_proposed_solution_erdos_problem_1002 https://erdosproblems.ai/wiki/library/analysis/wu_1985_length_paths_subharmonic_functions https://erdosproblems.ai/wiki/library/analysis/wu_1985_length_paths_subharmonic_functions/theorem_1 https://erdosproblems.ai/wiki/library/analysis/wu_1985_length_paths_subharmonic_functions/theorem_2 https://erdosproblems.ai/wiki/library/analysis/wu_1985_length_paths_subharmonic_functions/theorem_b https://erdosproblems.ai/wiki/library/analysis/yip_2025_problem_erdos_ingham https://erdosproblems.ai/wiki/library/analysis/yip_2025_problem_erdos_ingham/evidence https://erdosproblems.ai/wiki/library/analysis/yip_2025_problem_erdos_ingham/evidence/verify https://erdosproblems.ai/wiki/library/analysis/yip_2025_problem_erdos_ingham/evidence/verify/full_proof_review https://erdosproblems.ai/wiki/library/analysis/yip_2025_problem_erdos_ingham/evidence/verify/refinement_audit https://erdosproblems.ai/wiki/library/analysis/yip_2025_problem_erdos_ingham/evidence/verify/source_chain_audit https://erdosproblems.ai/wiki/library/analysis/yip_2025_problem_erdos_ingham/external_dependencies https://erdosproblems.ai/wiki/library/analysis/yip_2025_problem_erdos_ingham/infinite_refinement https://erdosproblems.ai/wiki/library/analysis/yip_2025_problem_erdos_ingham/lemma_2_1 https://erdosproblems.ai/wiki/library/analysis/yip_2025_problem_erdos_ingham/theorem_1_3 https://erdosproblems.ai/wiki/library/arithmetic_functions https://erdosproblems.ai/wiki/library/arithmetic_functions/adamczewski_2026_erdos126 https://erdosproblems.ai/wiki/library/arithmetic_functions/adamczewski_2026_erdos126/logarithmic_kernel https://erdosproblems.ai/wiki/library/arithmetic_functions/adamczewski_2026_erdos126/main_theorem https://erdosproblems.ai/wiki/library/arithmetic_functions/adamczewski_2026_erdos126/proposition_1 https://erdosproblems.ai/wiki/library/arithmetic_functions/adamczewski_2026_erdos126/two_copy_matching https://erdosproblems.ai/wiki/library/arithmetic_functions/atherfold_2025_almost_sure_bounds_weighted_sums_rademacher https://erdosproblems.ai/wiki/library/arithmetic_functions/baker_1998_shifted_primes_without_large_prime_factors https://erdosproblems.ai/wiki/library/arithmetic_functions/balog_1998_strings_consecutive_integers_no_large_prime_factors https://erdosproblems.ai/wiki/library/arithmetic_functions/balog_1998_strings_consecutive_integers_no_large_prime_factors/lemma_2_2 https://erdosproblems.ai/wiki/library/arithmetic_functions/balog_1998_strings_consecutive_integers_no_large_prime_factors/theorem_1 https://erdosproblems.ai/wiki/library/arithmetic_functions/balog_1998_strings_consecutive_integers_no_large_prime_factors/theorem_2 https://erdosproblems.ai/wiki/library/arithmetic_functions/banks_2005_nonaliquots_robbins_numbers https://erdosproblems.ai/wiki/library/arithmetic_functions/banks_2018_counting_integers_smooth_totient https://erdosproblems.ai/wiki/library/arithmetic_functions/banks_2018_counting_integers_smooth_totient/theorem_1_1 https://erdosproblems.ai/wiki/library/arithmetic_functions/benli_2023_sums_proper_divisors_missing_digits https://erdosproblems.ai/wiki/library/arithmetic_functions/benli_2023_sums_proper_divisors_missing_digits/theorem_1_8 https://erdosproblems.ai/wiki/library/arithmetic_functions/benli_2026_digits_sum_proper_divisors https://erdosproblems.ai/wiki/library/arithmetic_functions/benli_2026_digits_sum_proper_divisors/theorem_1_4 https://erdosproblems.ai/wiki/library/arithmetic_functions/benli_2026_digits_sum_proper_divisors/theorem_1_5 https://erdosproblems.ai/wiki/library/arithmetic_functions/bhalla_2026_conditional_note_large_prime_factors_polynomial_products https://erdosproblems.ai/wiki/library/arithmetic_functions/bober_2020_smooth_values_polynomials https://erdosproblems.ai/wiki/library/arithmetic_functions/bober_2020_smooth_values_polynomials/corollary_1_2 https://erdosproblems.ai/wiki/library/arithmetic_functions/bober_2020_smooth_values_polynomials/corollary_1_4 https://erdosproblems.ai/wiki/library/arithmetic_functions/bober_2020_smooth_values_polynomials/theorem_1_1 https://erdosproblems.ai/wiki/library/arithmetic_functions/bober_2020_smooth_values_polynomials/theorem_1_3 https://erdosproblems.ai/wiki/library/arithmetic_functions/bober_2020_smooth_values_polynomials/theorem_1_5 https://erdosproblems.ai/wiki/library/arithmetic_functions/bober_2020_smooth_values_polynomials/theorem_2_1 https://erdosproblems.ai/wiki/library/arithmetic_functions/browkin_1995_integers_not_form https://erdosproblems.ai/wiki/library/arithmetic_functions/caich_2023_almost_sure_upper_bound_random_multiplicative https://erdosproblems.ai/wiki/library/arithmetic_functions/cambie_2025_erdos_problem https://erdosproblems.ai/wiki/library/arithmetic_functions/chen_2011_nonaliquot_numbers https://erdosproblems.ai/wiki/library/arithmetic_functions/chen_2011_nonaliquot_numbers/theorem_1 https://erdosproblems.ai/wiki/library/arithmetic_functions/cohen_1996_iterating_sum_divisors_function https://erdosproblems.ai/wiki/library/arithmetic_functions/cohen_1996_iterating_sum_divisors_function/conjecture_p98 https://erdosproblems.ai/wiki/library/arithmetic_functions/cohen_1996_iterating_sum_divisors_function/remark_p98 https://erdosproblems.ai/wiki/library/arithmetic_functions/cohen_1996_iterating_sum_divisors_function/theorem_2_1 https://erdosproblems.ai/wiki/library/arithmetic_functions/cohen_1996_iterating_sum_divisors_function/theorem_2_2 https://erdosproblems.ai/wiki/library/arithmetic_functions/cohen_1996_iterating_sum_divisors_function/theorem_3_1 https://erdosproblems.ai/wiki/library/arithmetic_functions/cuevas_barrientos_2025_greatest_prime_factor_polynomial_values_subexponential_szpiro_families https://erdosproblems.ai/wiki/library/arithmetic_functions/cuevas_barrientos_2025_greatest_prime_factor_polynomial_values_subexponential_szpiro_families/corollary_1_2 https://erdosproblems.ai/wiki/library/arithmetic_functions/cuevas_barrientos_2025_greatest_prime_factor_polynomial_values_subexponential_szpiro_families/theorem_1_1 https://erdosproblems.ai/wiki/library/arithmetic_functions/cuevas_barrientos_2025_greatest_prime_factor_polynomial_values_subexponential_szpiro_families/theorem_1_3 https://erdosproblems.ai/wiki/library/arithmetic_functions/cuevas_barrientos_2025_greatest_prime_factor_polynomial_values_subexponential_szpiro_families/theorem_1_4 https://erdosproblems.ai/wiki/library/arithmetic_functions/dartyge_maynard_2025_largest_prime_factor_quartic_polynomial_values_cyclic_dihedral https://erdosproblems.ai/wiki/library/arithmetic_functions/dartyge_maynard_2025_largest_prime_factor_quartic_polynomial_values_cyclic_dihedral/theorem_1_1 https://erdosproblems.ai/wiki/library/arithmetic_functions/dekoninck_2011_distance_between_smooth_numbers https://erdosproblems.ai/wiki/library/arithmetic_functions/erdos_1934_problem_elementary_theory_numbers https://erdosproblems.ai/wiki/library/arithmetic_functions/erdos_1934_problem_elementary_theory_numbers/conjecture_p609 https://erdosproblems.ai/wiki/library/arithmetic_functions/erdos_1934_problem_elementary_theory_numbers/theorem_i https://erdosproblems.ai/wiki/library/arithmetic_functions/erdos_1934_problem_elementary_theory_numbers/theorem_ii https://erdosproblems.ai/wiki/library/arithmetic_functions/erdos_1934_problem_elementary_theory_numbers/theorem_iii https://erdosproblems.ai/wiki/library/arithmetic_functions/erdos_1935_normal_number_prime_factors_related_problems https://erdosproblems.ai/wiki/library/arithmetic_functions/erdos_1936_problem_chowla_related_problems https://erdosproblems.ai/wiki/library/arithmetic_functions/erdos_1936_problem_chowla_related_problems/theorem_p530 https://erdosproblems.ai/wiki/library/arithmetic_functions/erdos_1936_problem_chowla_related_problems/theorem_p534 https://erdosproblems.ai/wiki/library/arithmetic_functions/erdos_1936_problem_chowla_related_problems/theorem_p535 https://erdosproblems.ai/wiki/library/arithmetic_functions/erdos_1936_problem_chowla_related_problems/theorem_p540 https://erdosproblems.ai/wiki/library/arithmetic_functions/erdos_1937_note_number_prime_divisors_integers https://erdosproblems.ai/wiki/library/arithmetic_functions/erdos_1937_note_number_prime_divisors_integers/main_theorem https://erdosproblems.ai/wiki/library/arithmetic_functions/erdos_1937_note_number_prime_divisors_integers/theorem_1 https://erdosproblems.ai/wiki/library/arithmetic_functions/erdos_1937_note_number_prime_divisors_integers/theorem_2 https://erdosproblems.ai/wiki/library/arithmetic_functions/erdos_1937_note_number_prime_divisors_integers/theorem_3 https://erdosproblems.ai/wiki/library/arithmetic_functions/erdos_1946_distribution_function_additive_functions https://erdosproblems.ai/wiki/library/arithmetic_functions/erdos_1946_distribution_function_additive_functions/conjecture_p3 https://erdosproblems.ai/wiki/library/arithmetic_functions/erdos_1946_distribution_function_additive_functions/theorem_1 https://erdosproblems.ai/wiki/library/arithmetic_functions/erdos_1946_distribution_function_additive_functions/theorem_11 https://erdosproblems.ai/wiki/library/arithmetic_functions/erdos_1946_distribution_function_additive_functions/theorem_13 https://erdosproblems.ai/wiki/library/arithmetic_functions/erdos_1946_distribution_function_additive_functions/theorem_2 https://erdosproblems.ai/wiki/library/arithmetic_functions/erdos_1946_distribution_function_additive_functions/theorem_3 https://erdosproblems.ai/wiki/library/arithmetic_functions/erdos_1946_distribution_function_additive_functions/theorem_4 https://erdosproblems.ai/wiki/library/arithmetic_functions/erdos_1946_distribution_function_additive_functions/theorem_5 https://erdosproblems.ai/wiki/library/arithmetic_functions/erdos_1946_distribution_function_additive_functions/theorem_6 https://erdosproblems.ai/wiki/library/arithmetic_functions/erdos_1952_greatest_prime_factor https://erdosproblems.ai/wiki/library/arithmetic_functions/erdos_1952_greatest_prime_factor/conjecture_p380 https://erdosproblems.ai/wiki/library/arithmetic_functions/erdos_1952_greatest_prime_factor/theorem https://erdosproblems.ai/wiki/library/arithmetic_functions/erdos_1952_greatest_prime_factor/unproved_display_3 https://erdosproblems.ai/wiki/library/arithmetic_functions/erdos_1955_amicable_numbers https://erdosproblems.ai/wiki/library/arithmetic_functions/erdos_1955_amicable_numbers/conjecture_p108 https://erdosproblems.ai/wiki/library/arithmetic_functions/erdos_1955_amicable_numbers/lemma_1 https://erdosproblems.ai/wiki/library/arithmetic_functions/erdos_1955_amicable_numbers/theorem_p110 https://erdosproblems.ai/wiki/library/arithmetic_functions/erdos_1967_problems_prime_factors_consecutive_integers https://erdosproblems.ai/wiki/library/arithmetic_functions/erdos_1967_problems_prime_factors_consecutive_integers/conjecture_p429 https://erdosproblems.ai/wiki/library/arithmetic_functions/erdos_1967_problems_prime_factors_consecutive_integers/inequality_1 https://erdosproblems.ai/wiki/library/arithmetic_functions/erdos_1967_problems_prime_factors_consecutive_integers/remark_p430 https://erdosproblems.ai/wiki/library/arithmetic_functions/erdos_1967_problems_prime_factors_consecutive_integers/theorem_p428 https://erdosproblems.ai/wiki/library/arithmetic_functions/erdos_1973_uber_die_zahlen_der_form_und https://erdosproblems.ai/wiki/library/arithmetic_functions/erdos_1973_uber_die_zahlen_der_form_und/satz_i https://erdosproblems.ai/wiki/library/arithmetic_functions/erdos_1973_uber_die_zahlen_der_form_und/satz_ii https://erdosproblems.ai/wiki/library/arithmetic_functions/erdos_1974_distribution_numbers_form_sigma_n_n https://erdosproblems.ai/wiki/library/arithmetic_functions/erdos_1974_distribution_numbers_form_sigma_n_n/question_p59 https://erdosproblems.ai/wiki/library/arithmetic_functions/erdos_1974_distribution_numbers_form_sigma_n_n/theorem_p60 https://erdosproblems.ai/wiki/library/arithmetic_functions/erdos_1978_largest_prime_factors https://erdosproblems.ai/wiki/library/arithmetic_functions/erdos_1978_largest_prime_factors/construction_p320 https://erdosproblems.ai/wiki/library/arithmetic_functions/erdos_1978_largest_prime_factors/corollary_p319 https://erdosproblems.ai/wiki/library/arithmetic_functions/erdos_1978_largest_prime_factors/theorem_1 https://erdosproblems.ai/wiki/library/arithmetic_functions/erdos_1978_largest_prime_factors/theorem_2 https://erdosproblems.ai/wiki/library/arithmetic_functions/erdos_1978_largest_prime_factors/theorem_3 https://erdosproblems.ai/wiki/library/arithmetic_functions/erdos_1978_largest_prime_factors/theorem_p320 https://erdosproblems.ai/wiki/library/arithmetic_functions/erdos_1979_unconventional_problems_number_theory https://erdosproblems.ai/wiki/library/arithmetic_functions/erdos_1979_unconventional_problems_number_theory/display_10 https://erdosproblems.ai/wiki/library/arithmetic_functions/erdos_1979_unconventional_problems_number_theory/section_3 https://erdosproblems.ai/wiki/library/arithmetic_functions/erdos_1984_two_unconventional_number_theoretic_functions_related https://erdosproblems.ai/wiki/library/arithmetic_functions/erdos_1984_two_unconventional_number_theoretic_functions_related/conjecture_p113 https://erdosproblems.ai/wiki/library/arithmetic_functions/erdos_1984_two_unconventional_number_theoretic_functions_related/conjecture_p114 https://erdosproblems.ai/wiki/library/arithmetic_functions/erdos_1984_two_unconventional_number_theoretic_functions_related/theorem_1 https://erdosproblems.ai/wiki/library/arithmetic_functions/erdos_1984_two_unconventional_number_theoretic_functions_related/theorem_2 https://erdosproblems.ai/wiki/library/arithmetic_functions/erdos_1984_two_unconventional_number_theoretic_functions_related/theorem_3 https://erdosproblems.ai/wiki/library/arithmetic_functions/erdos_1984_two_unconventional_number_theoretic_functions_related/theorem_4 https://erdosproblems.ai/wiki/library/arithmetic_functions/erdos_1984_two_unconventional_number_theoretic_functions_related/theorem_5 https://erdosproblems.ai/wiki/library/arithmetic_functions/erdos_1984_two_unconventional_number_theoretic_functions_related/theorem_6 https://erdosproblems.ai/wiki/library/arithmetic_functions/erdos_1984_two_unconventional_number_theoretic_functions_related/theorem_7 https://erdosproblems.ai/wiki/library/arithmetic_functions/erdos_1984_two_unconventional_number_theoretic_functions_related/theorem_8 https://erdosproblems.ai/wiki/library/arithmetic_functions/erdos_1984_two_unconventional_number_theoretic_functions_related/theorem_9 https://erdosproblems.ai/wiki/library/arithmetic_functions/erdos_1984_two_unconventional_number_theoretic_functions_related/theorem_p120 https://erdosproblems.ai/wiki/library/arithmetic_functions/erdos_1985_locally_repeated_values_certain_arithmetic_functions_i https://erdosproblems.ai/wiki/library/arithmetic_functions/erdos_1985_locally_repeated_values_certain_arithmetic_functions_i/corollary_p320 https://erdosproblems.ai/wiki/library/arithmetic_functions/erdos_1985_locally_repeated_values_certain_arithmetic_functions_i/theorem_1 https://erdosproblems.ai/wiki/library/arithmetic_functions/erdos_1985_locally_repeated_values_certain_arithmetic_functions_i/theorem_2 https://erdosproblems.ai/wiki/library/arithmetic_functions/erdos_1985_problems_results_number_theory https://erdosproblems.ai/wiki/library/arithmetic_functions/erdos_1985_problems_results_number_theory/theorem_p67_phi_distinct_run https://erdosproblems.ai/wiki/library/arithmetic_functions/erdos_1987_locally_repeated_values_certain_arithmetic_functions https://erdosproblems.ai/wiki/library/arithmetic_functions/erdos_1987_locally_repeated_values_certain_arithmetic_functions/conjecture_p6 https://erdosproblems.ai/wiki/library/arithmetic_functions/erdos_1987_locally_repeated_values_certain_arithmetic_functions/corollary_p5 https://erdosproblems.ai/wiki/library/arithmetic_functions/erdos_1987_locally_repeated_values_certain_arithmetic_functions/intro_phi_bound_p1 https://erdosproblems.ai/wiki/library/arithmetic_functions/erdos_1987_locally_repeated_values_certain_arithmetic_functions/theorem_2_1 https://erdosproblems.ai/wiki/library/arithmetic_functions/erdos_1987_locally_repeated_values_certain_arithmetic_functions/theorem_3_1 https://erdosproblems.ai/wiki/library/arithmetic_functions/erdos_1987_locally_repeated_values_certain_arithmetic_functions/theorem_3_2 https://erdosproblems.ai/wiki/library/arithmetic_functions/erdos_1987_locally_repeated_values_certain_arithmetic_functions_ii https://erdosproblems.ai/wiki/library/arithmetic_functions/erdos_1987_locally_repeated_values_certain_arithmetic_functions_ii/phi_sigma_conjecture_p253 https://erdosproblems.ai/wiki/library/arithmetic_functions/erdos_1987_locally_repeated_values_certain_arithmetic_functions_ii/theorem_2 https://erdosproblems.ai/wiki/library/arithmetic_functions/erdos_1988_diophantine_equations_many_solutions https://erdosproblems.ai/wiki/library/arithmetic_functions/erdos_1988_diophantine_equations_many_solutions/lemma_1 https://erdosproblems.ai/wiki/library/arithmetic_functions/erdos_1988_diophantine_equations_many_solutions/theorem_1 https://erdosproblems.ai/wiki/library/arithmetic_functions/erdos_1988_diophantine_equations_many_solutions/theorem_2 https://erdosproblems.ai/wiki/library/arithmetic_functions/erdos_1988_diophantine_equations_many_solutions/theorem_3 https://erdosproblems.ai/wiki/library/arithmetic_functions/erdos_1988_diophantine_equations_many_solutions/theorem_4 https://erdosproblems.ai/wiki/library/arithmetic_functions/erdos_1988_diophantine_equations_many_solutions/theorem_5 https://erdosproblems.ai/wiki/library/arithmetic_functions/erdos_1990_distribution_values_certain_class_arithmetic_functions https://erdosproblems.ai/wiki/library/arithmetic_functions/erdos_1990_distribution_values_certain_class_arithmetic_functions/lemma_2 https://erdosproblems.ai/wiki/library/arithmetic_functions/erdos_1990_distribution_values_certain_class_arithmetic_functions/theorem_1 https://erdosproblems.ai/wiki/library/arithmetic_functions/erdos_1990_distribution_values_certain_class_arithmetic_functions/theorem_2 https://erdosproblems.ai/wiki/library/arithmetic_functions/erdos_1990_distribution_values_certain_class_arithmetic_functions/theorem_3 https://erdosproblems.ai/wiki/library/arithmetic_functions/erdos_1990_distribution_values_certain_class_arithmetic_functions/theorem_4 https://erdosproblems.ai/wiki/library/arithmetic_functions/erdos_1990_distribution_values_certain_class_arithmetic_functions/theorem_5 https://erdosproblems.ai/wiki/library/arithmetic_functions/erdos_1990_distribution_values_certain_class_arithmetic_functions/theorem_6 https://erdosproblems.ai/wiki/library/arithmetic_functions/erdos_1990_distribution_values_certain_class_arithmetic_functions/theorem_7 https://erdosproblems.ai/wiki/library/arithmetic_functions/erdos_1990_greatest_prime_factor https://erdosproblems.ai/wiki/library/arithmetic_functions/erdos_1990_normal_behavior_iterates_arithmetic_functions https://erdosproblems.ai/wiki/library/arithmetic_functions/erdos_1990_normal_behavior_iterates_arithmetic_functions/conjecture_3 https://erdosproblems.ai/wiki/library/arithmetic_functions/erdos_1990_normal_behavior_iterates_arithmetic_functions/conjecture_4 https://erdosproblems.ai/wiki/library/arithmetic_functions/erdos_1990_normal_behavior_iterates_arithmetic_functions/statements_p169 https://erdosproblems.ai/wiki/library/arithmetic_functions/erdos_1990_normal_behavior_iterates_arithmetic_functions/theorem_2_1 https://erdosproblems.ai/wiki/library/arithmetic_functions/erdos_1990_normal_behavior_iterates_arithmetic_functions/theorem_2_2 https://erdosproblems.ai/wiki/library/arithmetic_functions/erdos_1990_normal_behavior_iterates_arithmetic_functions/theorem_4_2 https://erdosproblems.ai/wiki/library/arithmetic_functions/erdos_1990_normal_behavior_iterates_arithmetic_functions/theorem_4_5 https://erdosproblems.ai/wiki/library/arithmetic_functions/erdos_1990_normal_behavior_iterates_arithmetic_functions/theorem_5_1 https://erdosproblems.ai/wiki/library/arithmetic_functions/erdos_1990_normal_behavior_iterates_arithmetic_functions/theorem_5_2 https://erdosproblems.ai/wiki/library/arithmetic_functions/erdos_1990_normal_behavior_iterates_arithmetic_functions/theorem_5_3 https://erdosproblems.ai/wiki/library/arithmetic_functions/erdos_1997_locally_repeated_values_arithmetic_functions_iv https://erdosproblems.ai/wiki/library/arithmetic_functions/erdos_1997_locally_repeated_values_arithmetic_functions_iv/lemma_1 https://erdosproblems.ai/wiki/library/arithmetic_functions/erdos_1997_locally_repeated_values_arithmetic_functions_iv/theorem_1 https://erdosproblems.ai/wiki/library/arithmetic_functions/erdos_1997_locally_repeated_values_arithmetic_functions_iv/theorem_2 https://erdosproblems.ai/wiki/library/arithmetic_functions/erdos_1997_locally_repeated_values_arithmetic_functions_iv/theorem_3 https://erdosproblems.ai/wiki/library/arithmetic_functions/erdos_1997_locally_repeated_values_arithmetic_functions_iv/theorem_4 https://erdosproblems.ai/wiki/library/arithmetic_functions/erdos_1997_locally_repeated_values_arithmetic_functions_iv/theorem_5 https://erdosproblems.ai/wiki/library/arithmetic_functions/ermoshin_2026_largest_prime_factor_irreducible_cubic_polynomial https://erdosproblems.ai/wiki/library/arithmetic_functions/ermoshin_2026_largest_prime_factor_irreducible_cubic_polynomial/main_theorem https://erdosproblems.ai/wiki/library/arithmetic_functions/fan_2025_hardy_ramanujan_inequality_sifted_sets_its_applications https://erdosproblems.ai/wiki/library/arithmetic_functions/fan_2025_hardy_ramanujan_inequality_sifted_sets_its_applications/theorem_1_1 https://erdosproblems.ai/wiki/library/arithmetic_functions/fan_2025_hardy_ramanujan_inequality_sifted_sets_its_applications/theorem_1_6 https://erdosproblems.ai/wiki/library/arithmetic_functions/fan_2025_hardy_ramanujan_inequality_sifted_sets_its_applications/theorem_1_7 https://erdosproblems.ai/wiki/library/arithmetic_functions/ford_1998_distribution_totients https://erdosproblems.ai/wiki/library/arithmetic_functions/ford_2010_common_values_arithmetic_functions https://erdosproblems.ai/wiki/library/arithmetic_functions/ford_2010_common_values_arithmetic_functions/theorem_1 https://erdosproblems.ai/wiki/library/arithmetic_functions/ford_2010_common_values_arithmetic_functions/theorem_2 https://erdosproblems.ai/wiki/library/arithmetic_functions/ford_2020_solutions_phi_n_phi_n_k https://erdosproblems.ai/wiki/library/arithmetic_functions/ford_2020_solutions_phi_n_phi_n_k/theorem_1 https://erdosproblems.ai/wiki/library/arithmetic_functions/ford_2020_solutions_phi_n_phi_n_k/theorem_2 https://erdosproblems.ai/wiki/library/arithmetic_functions/ford_2020_solutions_phi_n_phi_n_k/theorem_4 https://erdosproblems.ai/wiki/library/arithmetic_functions/gabdullin_2024_numbers_form https://erdosproblems.ai/wiki/library/arithmetic_functions/gabdullin_2024_numbers_form/theorem_1_1 https://erdosproblems.ai/wiki/library/arithmetic_functions/gabdullin_2024_numbers_form/theorem_1_2 https://erdosproblems.ai/wiki/library/arithmetic_functions/gabdullin_2024_numbers_form/theorem_1_3 https://erdosproblems.ai/wiki/library/arithmetic_functions/gabdullin_2024_numbers_form/theorem_1_4 https://erdosproblems.ai/wiki/library/arithmetic_functions/garaev_2011_number_common_values_arithmetic_functions_below https://erdosproblems.ai/wiki/library/arithmetic_functions/garaev_2011_number_common_values_arithmetic_functions_below/theorem_1 https://erdosproblems.ai/wiki/library/arithmetic_functions/gpt_5_5_pro_2026_totient_fibre_extremes https://erdosproblems.ai/wiki/library/arithmetic_functions/gpt_5_5_pro_2026_totient_fibre_extremes/theorem_2_1 https://erdosproblems.ai/wiki/library/arithmetic_functions/graham_1999_solutions_phi_n_phi_n_k https://erdosproblems.ai/wiki/library/arithmetic_functions/graham_1999_solutions_phi_n_phi_n_k/theorem_2 https://erdosproblems.ai/wiki/library/arithmetic_functions/graham_1999_solutions_phi_n_phi_n_k/theorem_4 https://erdosproblems.ai/wiki/library/arithmetic_functions/grimmelt_merikoski_2025_greatest_prime_factor_uniform_equidistribution_quadratic_polynomials https://erdosproblems.ai/wiki/library/arithmetic_functions/grimmelt_merikoski_2025_greatest_prime_factor_uniform_equidistribution_quadratic_polynomials/theorem_1_1 https://erdosproblems.ai/wiki/library/arithmetic_functions/grytczuk_2001_conjecture_erdos_concerning_inequalities_euler_totient https://erdosproblems.ai/wiki/library/arithmetic_functions/grytczuk_2001_conjecture_erdos_concerning_inequalities_euler_totient/theorem_1 https://erdosproblems.ai/wiki/library/arithmetic_functions/grytczuk_2001_conjecture_erdos_concerning_inequalities_euler_totient/theorem_2 https://erdosproblems.ai/wiki/library/arithmetic_functions/grytczuk_2001_conjecture_erdos_concerning_inequalities_euler_totient/theorem_3 https://erdosproblems.ai/wiki/library/arithmetic_functions/gyory_1986_prime_factors_sums_integers_i https://erdosproblems.ai/wiki/library/arithmetic_functions/gyory_1986_prime_factors_sums_integers_i/corollary_1 https://erdosproblems.ai/wiki/library/arithmetic_functions/gyory_1986_prime_factors_sums_integers_i/theorem_1 https://erdosproblems.ai/wiki/library/arithmetic_functions/gyory_1986_prime_factors_sums_integers_i/theorem_2 https://erdosproblems.ai/wiki/library/arithmetic_functions/ha_2019_many_solutions_s_unit_equation_1 https://erdosproblems.ai/wiki/library/arithmetic_functions/ha_2019_many_solutions_s_unit_equation_1/proposition_2 https://erdosproblems.ai/wiki/library/arithmetic_functions/ha_2019_many_solutions_s_unit_equation_1/theorem_1 https://erdosproblems.ai/wiki/library/arithmetic_functions/harper_2013_bounds_suprema_gaussian_processes_omega_results https://erdosproblems.ai/wiki/library/arithmetic_functions/harper_2013_bounds_suprema_gaussian_processes_omega_results/corollary_1 https://erdosproblems.ai/wiki/library/arithmetic_functions/harper_2013_bounds_suprema_gaussian_processes_omega_results/corollary_2 https://erdosproblems.ai/wiki/library/arithmetic_functions/harper_2013_bounds_suprema_gaussian_processes_omega_results/corollary_3 https://erdosproblems.ai/wiki/library/arithmetic_functions/harper_2013_bounds_suprema_gaussian_processes_omega_results/proposition_1 https://erdosproblems.ai/wiki/library/arithmetic_functions/harper_2013_bounds_suprema_gaussian_processes_omega_results/proposition_2 https://erdosproblems.ai/wiki/library/arithmetic_functions/harper_2013_bounds_suprema_gaussian_processes_omega_results/theorem_1 https://erdosproblems.ai/wiki/library/arithmetic_functions/kinlaw_2020_equation_phi_n_phi_n_1 https://erdosproblems.ai/wiki/library/arithmetic_functions/kinlaw_2020_equation_phi_n_phi_n_1/theorem_1_1 https://erdosproblems.ai/wiki/library/arithmetic_functions/konyagin_2007_two_s_unit_equations_many_solutions https://erdosproblems.ai/wiki/library/arithmetic_functions/konyagin_2007_two_s_unit_equations_many_solutions/theorem_1 https://erdosproblems.ai/wiki/library/arithmetic_functions/konyagin_2007_two_s_unit_equations_many_solutions/theorem_2 https://erdosproblems.ai/wiki/library/arithmetic_functions/kruer_kohlmeyer_2026_doubling_law_distinct_totient_values https://erdosproblems.ai/wiki/library/arithmetic_functions/kruer_kohlmeyer_2026_doubling_law_distinct_totient_values/lemma_2_1 https://erdosproblems.ai/wiki/library/arithmetic_functions/kruer_kohlmeyer_2026_doubling_law_distinct_totient_values/lemma_5_1 https://erdosproblems.ai/wiki/library/arithmetic_functions/kruer_kohlmeyer_2026_doubling_law_distinct_totient_values/proposition_4_1 https://erdosproblems.ai/wiki/library/arithmetic_functions/kruer_kohlmeyer_2026_doubling_law_distinct_totient_values/theorem_1_1 https://erdosproblems.ai/wiki/library/arithmetic_functions/lai_2021_largest_prime_divisor https://erdosproblems.ai/wiki/library/arithmetic_functions/lai_2021_largest_prime_divisor/least_prime_divisor_bound https://erdosproblems.ai/wiki/library/arithmetic_functions/lai_2021_largest_prime_divisor/lemma_2_7 https://erdosproblems.ai/wiki/library/arithmetic_functions/lai_2021_largest_prime_divisor/theorem_1_1 https://erdosproblems.ai/wiki/library/arithmetic_functions/lau_2013_mean_values_random_multiplicative_functions https://erdosproblems.ai/wiki/library/arithmetic_functions/lau_2013_mean_values_random_multiplicative_functions/theorem_1_1 https://erdosproblems.ai/wiki/library/arithmetic_functions/lau_2026_number_prime_factors_consecutive_integers https://erdosproblems.ai/wiki/library/arithmetic_functions/lebowitz_lockard_et_al_2021_distribution_mod_p_eulers_totient_sum_proper_divisors https://erdosproblems.ai/wiki/library/arithmetic_functions/lebowitz_lockard_et_al_2021_distribution_mod_p_eulers_totient_sum_proper_divisors/theorem_1_1 https://erdosproblems.ai/wiki/library/arithmetic_functions/lebowitz_lockard_et_al_2021_distribution_mod_p_eulers_totient_sum_proper_divisors/theorem_1_2 https://erdosproblems.ai/wiki/library/arithmetic_functions/lebowitz_lockard_et_al_2021_distribution_mod_p_eulers_totient_sum_proper_divisors/theorem_1_3 https://erdosproblems.ai/wiki/library/arithmetic_functions/li_2026_rank_amplification_shifted_equal_values_euler_totient_function https://erdosproblems.ai/wiki/library/arithmetic_functions/li_2026_rank_amplification_shifted_equal_values_euler_totient_function/corollary_1_5 https://erdosproblems.ai/wiki/library/arithmetic_functions/li_2026_rank_amplification_shifted_equal_values_euler_totient_function/formalization_claim_section_1_1 https://erdosproblems.ai/wiki/library/arithmetic_functions/li_2026_rank_amplification_shifted_equal_values_euler_totient_function/theorem_1_4 https://erdosproblems.ai/wiki/library/arithmetic_functions/li_2026_resolution_erdos_problem_1061_sum_divisors https://erdosproblems.ai/wiki/library/arithmetic_functions/li_2026_resolution_erdos_problem_1061_sum_divisors/remark_1_2 https://erdosproblems.ai/wiki/library/arithmetic_functions/li_2026_resolution_erdos_problem_1061_sum_divisors/theorem_1_1 https://erdosproblems.ai/wiki/library/arithmetic_functions/li_2026_resolution_erdos_problem_1061_sum_divisors/theorem_1_3 https://erdosproblems.ai/wiki/library/arithmetic_functions/li_2026_square_annular_dynamics_coalescence_frontiers_n https://erdosproblems.ai/wiki/library/arithmetic_functions/li_2026_square_annular_dynamics_coalescence_frontiers_n/corollary_5_10 https://erdosproblems.ai/wiki/library/arithmetic_functions/li_2026_square_annular_dynamics_coalescence_frontiers_n/proposition_5_1 https://erdosproblems.ai/wiki/library/arithmetic_functions/li_2026_square_annular_dynamics_coalescence_frontiers_n/proposition_5_4 https://erdosproblems.ai/wiki/library/arithmetic_functions/li_2026_square_annular_dynamics_coalescence_frontiers_n/proposition_5_8 https://erdosproblems.ai/wiki/library/arithmetic_functions/li_2026_square_annular_dynamics_coalescence_frontiers_n/proposition_6_1 https://erdosproblems.ai/wiki/library/arithmetic_functions/li_2026_square_annular_dynamics_coalescence_frontiers_n/proposition_7_1 https://erdosproblems.ai/wiki/library/arithmetic_functions/li_2026_square_annular_dynamics_coalescence_frontiers_n/proposition_7_5 https://erdosproblems.ai/wiki/library/arithmetic_functions/li_2026_square_annular_dynamics_coalescence_frontiers_n/theorem_10_3 https://erdosproblems.ai/wiki/library/arithmetic_functions/li_2026_square_annular_dynamics_coalescence_frontiers_n/theorem_10_6 https://erdosproblems.ai/wiki/library/arithmetic_functions/li_2026_square_annular_dynamics_coalescence_frontiers_n/theorem_12_2 https://erdosproblems.ai/wiki/library/arithmetic_functions/li_2026_square_annular_dynamics_coalescence_frontiers_n/theorem_3_4 https://erdosproblems.ai/wiki/library/arithmetic_functions/li_2026_square_annular_dynamics_coalescence_frontiers_n/theorem_4_4 https://erdosproblems.ai/wiki/library/arithmetic_functions/li_2026_square_annular_dynamics_coalescence_frontiers_n/theorem_7_2 https://erdosproblems.ai/wiki/library/arithmetic_functions/li_2026_square_annular_dynamics_coalescence_frontiers_n/theorem_8_14 https://erdosproblems.ai/wiki/library/arithmetic_functions/li_2026_square_annular_dynamics_coalescence_frontiers_n/theorem_8_23 https://erdosproblems.ai/wiki/library/arithmetic_functions/li_2026_square_annular_dynamics_coalescence_frontiers_n/theorem_8_3 https://erdosproblems.ai/wiki/library/arithmetic_functions/li_2026_square_annular_dynamics_coalescence_frontiers_n/theorem_8_7 https://erdosproblems.ai/wiki/library/arithmetic_functions/lichtman_2022_primes_arithmetic_progressions_large_moduli_shifted https://erdosproblems.ai/wiki/library/arithmetic_functions/lichtman_2022_primes_arithmetic_progressions_large_moduli_shifted/corollary_1_2 https://erdosproblems.ai/wiki/library/arithmetic_functions/lichtman_2022_primes_arithmetic_progressions_large_moduli_shifted/corollary_1_3 https://erdosproblems.ai/wiki/library/arithmetic_functions/lichtman_2022_primes_arithmetic_progressions_large_moduli_shifted/theorem_1_1 https://erdosproblems.ai/wiki/library/arithmetic_functions/lichtman_2022_primes_arithmetic_progressions_large_moduli_shifted/theorem_1_4 https://erdosproblems.ai/wiki/library/arithmetic_functions/lu_2025_largest_prime_factors_consecutive_integers https://erdosproblems.ai/wiki/library/arithmetic_functions/lu_2025_largest_prime_factors_consecutive_integers/theorem_1 https://erdosproblems.ai/wiki/library/arithmetic_functions/luca_2002_problems_makowski_schinzel_erdos https://erdosproblems.ai/wiki/library/arithmetic_functions/luca_2011_arithmetic_function_arising_carmichael_s_conjecture https://erdosproblems.ai/wiki/library/arithmetic_functions/luca_2011_arithmetic_function_arising_carmichael_s_conjecture/lemma_2_1 https://erdosproblems.ai/wiki/library/arithmetic_functions/luca_2011_arithmetic_function_arising_carmichael_s_conjecture/theorem_1_1 https://erdosproblems.ai/wiki/library/arithmetic_functions/luca_2011_arithmetic_function_arising_carmichael_s_conjecture/theorem_1_2 https://erdosproblems.ai/wiki/library/arithmetic_functions/luca_2011_arithmetic_function_arising_carmichael_s_conjecture/theorem_1_3 https://erdosproblems.ai/wiki/library/arithmetic_functions/luca_2011_arithmetic_function_arising_carmichael_s_conjecture/theorem_2_1 https://erdosproblems.ai/wiki/library/arithmetic_functions/luca_pomerance_2015_range_sum_of_proper_divisors_function https://erdosproblems.ai/wiki/library/arithmetic_functions/luca_pomerance_2015_range_sum_of_proper_divisors_function/theorem_1 https://erdosproblems.ai/wiki/library/arithmetic_functions/maciejewski_2026_bounded_box_reductions_subbarao_warren_problem https://erdosproblems.ai/wiki/library/arithmetic_functions/mahler_1935_uber_den_grossten_primteiler_spezieller https://erdosproblems.ai/wiki/library/arithmetic_functions/mahler_1935_uber_den_grossten_primteiler_spezieller/satz_1 https://erdosproblems.ai/wiki/library/arithmetic_functions/mahler_1935_uber_den_grossten_primteiler_spezieller/satz_2 https://erdosproblems.ai/wiki/library/arithmetic_functions/mahler_1935_uber_den_grossten_primteiler_spezieller/satz_3 https://erdosproblems.ai/wiki/library/arithmetic_functions/maier_1984_third_iterates_phi_sigma_functions https://erdosproblems.ai/wiki/library/arithmetic_functions/maier_1988_number_distinct_values_euler_s_function https://erdosproblems.ai/wiki/library/arithmetic_functions/mangerel_2022_additive_functions_short_intervals_gaps_conjecture https://erdosproblems.ai/wiki/library/arithmetic_functions/ono_2000_distribution_partition_function_modulo_m https://erdosproblems.ai/wiki/library/arithmetic_functions/ono_2000_distribution_partition_function_modulo_m/corollary_2 https://erdosproblems.ai/wiki/library/arithmetic_functions/ono_2000_distribution_partition_function_modulo_m/theorem_1 https://erdosproblems.ai/wiki/library/arithmetic_functions/ono_2000_distribution_partition_function_modulo_m/theorem_3 https://erdosproblems.ai/wiki/library/arithmetic_functions/ono_2000_distribution_partition_function_modulo_m/theorem_5 https://erdosproblems.ai/wiki/library/arithmetic_functions/openai_2026_asymptotic_formula_number_totients https://erdosproblems.ai/wiki/library/arithmetic_functions/openai_2026_asymptotic_formula_number_totients/corollary_6_2 https://erdosproblems.ai/wiki/library/arithmetic_functions/openai_2026_asymptotic_formula_number_totients/theorem_2_1 https://erdosproblems.ai/wiki/library/arithmetic_functions/openai_2026_asymptotic_formula_number_totients/theorem_2_2 https://erdosproblems.ai/wiki/library/arithmetic_functions/openai_2026_joint_dickman_law_consecutive_integers https://erdosproblems.ai/wiki/library/arithmetic_functions/openai_2026_joint_dickman_law_consecutive_integers/corollary_1_2 https://erdosproblems.ai/wiki/library/arithmetic_functions/openai_2026_joint_dickman_law_consecutive_integers/theorem_1_1 https://erdosproblems.ai/wiki/library/arithmetic_functions/openai_2026_poisson_dirichlet_law_prime_predecessors https://erdosproblems.ai/wiki/library/arithmetic_functions/openai_2026_poisson_dirichlet_law_prime_predecessors/theorem_1_1 https://erdosproblems.ai/wiki/library/arithmetic_functions/openai_2026_poisson_dirichlet_law_prime_predecessors/theorem_7_1 https://erdosproblems.ai/wiki/library/arithmetic_functions/openai_2026_weighted_dilation_graphs_smooth_shifted_primes_totient_fibers https://erdosproblems.ai/wiki/library/arithmetic_functions/openai_2026_weighted_dilation_graphs_smooth_shifted_primes_totient_fibers/theorem_1_1 https://erdosproblems.ai/wiki/library/arithmetic_functions/openai_2026_weighted_dilation_graphs_smooth_shifted_primes_totient_fibers/theorem_1_2 https://erdosproblems.ai/wiki/library/arithmetic_functions/pascadi_2026_large_sieve_exceptional_maass_greatest_prime_factor https://erdosproblems.ai/wiki/library/arithmetic_functions/pascadi_2026_large_sieve_exceptional_maass_greatest_prime_factor/dyadic_product_bound https://erdosproblems.ai/wiki/library/arithmetic_functions/pascadi_2026_large_sieve_exceptional_maass_greatest_prime_factor/theorem_1_1 https://erdosproblems.ai/wiki/library/arithmetic_functions/pascadi_2026_large_sieve_exceptional_maass_greatest_prime_factor/theorem_1_5 https://erdosproblems.ai/wiki/library/arithmetic_functions/pascadi_2026_large_sieve_exceptional_maass_greatest_prime_factor/theorem_1_7 https://erdosproblems.ai/wiki/library/arithmetic_functions/pasten_2024_largest_prime_factor_improvements_subexponential https://erdosproblems.ai/wiki/library/arithmetic_functions/pasten_2024_largest_prime_factor_improvements_subexponential/corollary_1_5 https://erdosproblems.ai/wiki/library/arithmetic_functions/pasten_2024_largest_prime_factor_improvements_subexponential/theorem_1_1 https://erdosproblems.ai/wiki/library/arithmetic_functions/pasten_2024_largest_prime_factor_improvements_subexponential/theorem_1_2 https://erdosproblems.ai/wiki/library/arithmetic_functions/pasten_2024_largest_prime_factor_improvements_subexponential/theorem_1_4 https://erdosproblems.ai/wiki/library/arithmetic_functions/pasten_2026_improvement_largest_prime_factor_n_squared_plus_one https://erdosproblems.ai/wiki/library/arithmetic_functions/pasten_2026_improvement_largest_prime_factor_n_squared_plus_one/corollary_1_2 https://erdosproblems.ai/wiki/library/arithmetic_functions/pasten_2026_improvement_largest_prime_factor_n_squared_plus_one/corollary_1_3 https://erdosproblems.ai/wiki/library/arithmetic_functions/pasten_2026_improvement_largest_prime_factor_n_squared_plus_one/theorem_1_1 https://erdosproblems.ai/wiki/library/arithmetic_functions/pollack_2014_arithmetic_properties_sum_proper_divisors_sum https://erdosproblems.ai/wiki/library/arithmetic_functions/pollack_2014_arithmetic_properties_sum_proper_divisors_sum/corollary_1_5 https://erdosproblems.ai/wiki/library/arithmetic_functions/pollack_2014_arithmetic_properties_sum_proper_divisors_sum/lemma_2_8 https://erdosproblems.ai/wiki/library/arithmetic_functions/pollack_2014_arithmetic_properties_sum_proper_divisors_sum/theorem_1_10 https://erdosproblems.ai/wiki/library/arithmetic_functions/pollack_2014_arithmetic_properties_sum_proper_divisors_sum/theorem_1_11 https://erdosproblems.ai/wiki/library/arithmetic_functions/pollack_2014_arithmetic_properties_sum_proper_divisors_sum/theorem_1_4 https://erdosproblems.ai/wiki/library/arithmetic_functions/pollack_2014_arithmetic_properties_sum_proper_divisors_sum/theorem_1_7 https://erdosproblems.ai/wiki/library/arithmetic_functions/pollack_2014_arithmetic_properties_sum_proper_divisors_sum/theorem_1_8 https://erdosproblems.ai/wiki/library/arithmetic_functions/pollack_2015_palindromic_sums_proper_divisors https://erdosproblems.ai/wiki/library/arithmetic_functions/pollack_2015_remarks_fibers_sum_divisors_function https://erdosproblems.ai/wiki/library/arithmetic_functions/pollack_2015_remarks_fibers_sum_divisors_function/corollary_1 https://erdosproblems.ai/wiki/library/arithmetic_functions/pollack_2015_remarks_fibers_sum_divisors_function/theorem_1 https://erdosproblems.ai/wiki/library/arithmetic_functions/pollack_2015_remarks_fibers_sum_divisors_function/theorem_2 https://erdosproblems.ai/wiki/library/arithmetic_functions/pollack_2016_problems_erdos_sum_divisors_function https://erdosproblems.ai/wiki/library/arithmetic_functions/pollack_2016_problems_erdos_sum_divisors_function/conjecture_1_4 https://erdosproblems.ai/wiki/library/arithmetic_functions/pollack_2016_problems_erdos_sum_divisors_function/theorem_1_1 https://erdosproblems.ai/wiki/library/arithmetic_functions/pollack_2016_problems_erdos_sum_divisors_function/theorem_1_2 https://erdosproblems.ai/wiki/library/arithmetic_functions/pollack_2016_problems_erdos_sum_divisors_function/theorem_1_3 https://erdosproblems.ai/wiki/library/arithmetic_functions/pollack_2016_problems_erdos_sum_divisors_function/theorem_1_5 https://erdosproblems.ai/wiki/library/arithmetic_functions/pollack_2016_problems_erdos_sum_divisors_function/theorem_1_6 https://erdosproblems.ai/wiki/library/arithmetic_functions/pollack_2016_problems_erdos_sum_divisors_function/theorem_5_2 https://erdosproblems.ai/wiki/library/arithmetic_functions/pollack_2016_problems_erdos_sum_divisors_function/theorem_p24 https://erdosproblems.ai/wiki/library/arithmetic_functions/pollack_2018_divisor_sum_fibers https://erdosproblems.ai/wiki/library/arithmetic_functions/pollack_2018_divisor_sum_fibers/theorem_1_2 https://erdosproblems.ai/wiki/library/arithmetic_functions/pollack_2018_divisor_sum_fibers/theorem_1_4 https://erdosproblems.ai/wiki/library/arithmetic_functions/pollack_2018_divisor_sum_fibers/theorem_1_5 https://erdosproblems.ai/wiki/library/arithmetic_functions/pollack_roy_2021_powerfree_sums_proper_divisors https://erdosproblems.ai/wiki/library/arithmetic_functions/pollack_roy_2021_powerfree_sums_proper_divisors/proposition_3_1 https://erdosproblems.ai/wiki/library/arithmetic_functions/pollack_roy_2021_powerfree_sums_proper_divisors/theorem_1_2 https://erdosproblems.ai/wiki/library/arithmetic_functions/pollack_roy_2021_powerfree_sums_proper_divisors/theorem_3_3 https://erdosproblems.ai/wiki/library/arithmetic_functions/pollack_troupe_2021_sums_proper_divisors_follow_erdos_kac_law https://erdosproblems.ai/wiki/library/arithmetic_functions/pollack_troupe_2021_sums_proper_divisors_follow_erdos_kac_law/proposition_5 https://erdosproblems.ai/wiki/library/arithmetic_functions/pollack_troupe_2021_sums_proper_divisors_follow_erdos_kac_law/theorem_1 https://erdosproblems.ai/wiki/library/arithmetic_functions/polya_1918_zur_arithmetischen_untersuchung_der_polynome https://erdosproblems.ai/wiki/library/arithmetic_functions/polya_1918_zur_arithmetischen_untersuchung_der_polynome/equation_14 https://erdosproblems.ai/wiki/library/arithmetic_functions/polya_1918_zur_arithmetischen_untersuchung_der_polynome/satz_1 https://erdosproblems.ai/wiki/library/arithmetic_functions/polya_1918_zur_arithmetischen_untersuchung_der_polynome/satz_2 https://erdosproblems.ai/wiki/library/arithmetic_functions/pomerance_1981_distribution_amicable_numbers https://erdosproblems.ai/wiki/library/arithmetic_functions/pomerance_1981_distribution_amicable_numbers/theorem_p184 https://erdosproblems.ai/wiki/library/arithmetic_functions/pomerance_2015_amicable_numbers https://erdosproblems.ai/wiki/library/arithmetic_functions/pomerance_2015_amicable_numbers/lemma_2_1 https://erdosproblems.ai/wiki/library/arithmetic_functions/pomerance_2015_amicable_numbers/theorem_1_1 https://erdosproblems.ai/wiki/library/arithmetic_functions/pomerance_2018_first_function_iterates https://erdosproblems.ai/wiki/library/arithmetic_functions/pomerance_2018_first_function_iterates/conjecture_2_3 https://erdosproblems.ai/wiki/library/arithmetic_functions/pomerance_2018_first_function_iterates/corollary_3_6 https://erdosproblems.ai/wiki/library/arithmetic_functions/pomerance_2018_first_function_iterates/theorem_1_1 https://erdosproblems.ai/wiki/library/arithmetic_functions/pomerance_2018_first_function_iterates/theorem_2_4 https://erdosproblems.ai/wiki/library/arithmetic_functions/pomerance_2018_first_function_iterates/theorem_3_3 https://erdosproblems.ai/wiki/library/arithmetic_functions/pomerance_2018_first_function_iterates/theorem_3_4 https://erdosproblems.ai/wiki/library/arithmetic_functions/rotkiewicz_1964_nombres_naturels_n_k_pseudopremiers https://erdosproblems.ai/wiki/library/arithmetic_functions/rotkiewicz_1964_nombres_naturels_n_k_pseudopremiers/theorem_1 https://erdosproblems.ai/wiki/library/arithmetic_functions/rotkiewicz_1964_nombres_naturels_n_k_pseudopremiers/theorem_2 https://erdosproblems.ai/wiki/library/arithmetic_functions/schinzel_nd_two_theorems_gelfond_applications https://erdosproblems.ai/wiki/library/arithmetic_functions/steinerberger_2025_iterated_arithmetic_function_problem_erdos_graham https://erdosproblems.ai/wiki/library/arithmetic_functions/steinerberger_2025_iterated_arithmetic_function_problem_erdos_graham/main_theorem https://erdosproblems.ai/wiki/library/arithmetic_functions/steinerberger_2025_iterated_arithmetic_function_problem_erdos_graham/question_p1 https://erdosproblems.ai/wiki/library/arithmetic_functions/stewart_2013_divisors_lucas_lehmer https://erdosproblems.ai/wiki/library/arithmetic_functions/stewart_2013_divisors_lucas_lehmer/lemma_4_3 https://erdosproblems.ai/wiki/library/arithmetic_functions/stewart_2013_divisors_lucas_lehmer/theorem_1_1 https://erdosproblems.ai/wiki/library/arithmetic_functions/stewart_2013_divisors_lucas_lehmer/theorem_1_2 https://erdosproblems.ai/wiki/library/arithmetic_functions/stewart_nd_greatest_prime_factor https://erdosproblems.ai/wiki/library/arithmetic_functions/stewart_nd_greatest_prime_factor/lemma_3 https://erdosproblems.ai/wiki/library/arithmetic_functions/stewart_nd_greatest_prime_factor/theorem_1 https://erdosproblems.ai/wiki/library/arithmetic_functions/stewart_nd_greatest_prime_factor/theorem_2 https://erdosproblems.ai/wiki/library/arithmetic_functions/tao_2019_structure_correlations_multiplicative_functions_at_almost https://erdosproblems.ai/wiki/library/arithmetic_functions/tao_2019_structure_correlations_multiplicative_functions_at_almost/corollary_1_13 https://erdosproblems.ai/wiki/library/arithmetic_functions/tao_2019_structure_correlations_multiplicative_functions_at_almost/corollary_1_14 https://erdosproblems.ai/wiki/library/arithmetic_functions/tao_2019_structure_correlations_multiplicative_functions_at_almost/corollary_1_16 https://erdosproblems.ai/wiki/library/arithmetic_functions/tao_2019_structure_correlations_multiplicative_functions_at_almost/corollary_1_8 https://erdosproblems.ai/wiki/library/arithmetic_functions/tao_2019_structure_correlations_multiplicative_functions_at_almost/theorem_1_17 https://erdosproblems.ai/wiki/library/arithmetic_functions/tao_2019_structure_correlations_multiplicative_functions_at_almost/theorem_1_19 https://erdosproblems.ai/wiki/library/arithmetic_functions/tao_2019_structure_correlations_multiplicative_functions_at_almost/theorem_1_7 https://erdosproblems.ai/wiki/library/arithmetic_functions/tao_2025_quantitative_correlations_problems_prime_factors_consecutive https://erdosproblems.ai/wiki/library/arithmetic_functions/tao_2025_quantitative_correlations_problems_prime_factors_consecutive/remark_4_2_divisor_ratio https://erdosproblems.ai/wiki/library/arithmetic_functions/tenenbaum_1990_sur_une_question_erdos_schinzel_i https://erdosproblems.ai/wiki/library/arithmetic_functions/tenenbaum_1990_sur_une_question_erdos_schinzel_i/irreducible_interval_corollary https://erdosproblems.ai/wiki/library/arithmetic_functions/tenenbaum_1990_sur_une_question_erdos_schinzel_i/main_theorem https://erdosproblems.ai/wiki/library/arithmetic_functions/tenenbaum_1990_sur_une_question_erdos_schinzel_ii https://erdosproblems.ai/wiki/library/arithmetic_functions/tenenbaum_1990_sur_une_question_erdos_schinzel_ii/theorem_1 https://erdosproblems.ai/wiki/library/arithmetic_functions/tenenbaum_1990_sur_une_question_erdos_schinzel_ii/theorem_2 https://erdosproblems.ai/wiki/library/arithmetic_functions/tenenbaum_1990_sur_une_question_erdos_schinzel_ii/theorem_3 https://erdosproblems.ai/wiki/library/arithmetic_functions/teravainen_2018_binary_correlations_multiplicative_functions https://erdosproblems.ai/wiki/library/arithmetic_functions/teravainen_2018_binary_correlations_multiplicative_functions/theorem_1_11 https://erdosproblems.ai/wiki/library/arithmetic_functions/teravainen_2018_binary_correlations_multiplicative_functions/theorem_1_14 https://erdosproblems.ai/wiki/library/arithmetic_functions/teravainen_2018_binary_correlations_multiplicative_functions/theorem_1_16 https://erdosproblems.ai/wiki/library/arithmetic_functions/teravainen_2018_binary_correlations_multiplicative_functions/theorem_1_17 https://erdosproblems.ai/wiki/library/arithmetic_functions/teravainen_2018_binary_correlations_multiplicative_functions/theorem_1_19 https://erdosproblems.ai/wiki/library/arithmetic_functions/teravainen_2018_binary_correlations_multiplicative_functions/theorem_1_21 https://erdosproblems.ai/wiki/library/arithmetic_functions/teravainen_2018_binary_correlations_multiplicative_functions/theorem_1_4 https://erdosproblems.ai/wiki/library/arithmetic_functions/tijdeman_1973_integers_many_small_prime_factors https://erdosproblems.ai/wiki/library/arithmetic_functions/tijdeman_1973_integers_many_small_prime_factors/theorem_1 https://erdosproblems.ai/wiki/library/arithmetic_functions/tijdeman_1973_integers_many_small_prime_factors/theorem_2 https://erdosproblems.ai/wiki/library/arithmetic_functions/tijdeman_1973_integers_many_small_prime_factors/theorem_3 https://erdosproblems.ai/wiki/library/arithmetic_functions/tijdeman_1973_integers_many_small_prime_factors/theorem_4 https://erdosproblems.ai/wiki/library/arithmetic_functions/tijdeman_1973_integers_many_small_prime_factors/theorem_5 https://erdosproblems.ai/wiki/library/arithmetic_functions/tijdeman_1973_integers_many_small_prime_factors/theorem_6 https://erdosproblems.ai/wiki/library/arithmetic_functions/tijdeman_1973_integers_many_small_prime_factors/theorem_7 https://erdosproblems.ai/wiki/library/arithmetic_functions/troupe_2015_number_prime_factors_values_sum_proper https://erdosproblems.ai/wiki/library/arithmetic_functions/troupe_2015_number_prime_factors_values_sum_proper/theorem_1_3 https://erdosproblems.ai/wiki/library/arithmetic_functions/troupe_2015_number_prime_factors_values_sum_proper/theorem_1_4 https://erdosproblems.ai/wiki/library/arithmetic_functions/troupe_2020_divisor_sums_representable_as_sum_two https://erdosproblems.ai/wiki/library/arithmetic_functions/troupe_2020_divisor_sums_representable_as_sum_two/theorem_1_2 https://erdosproblems.ai/wiki/library/arithmetic_functions/turturean_2026_positive_density_equality_set_erdos_problem https://erdosproblems.ai/wiki/library/arithmetic_functions/turturean_2026_positive_density_equality_set_erdos_problem/corollary_1_2 https://erdosproblems.ai/wiki/library/arithmetic_functions/turturean_2026_positive_density_equality_set_erdos_problem/lemma_2_3 https://erdosproblems.ai/wiki/library/arithmetic_functions/turturean_2026_positive_density_equality_set_erdos_problem/lemma_4_2 https://erdosproblems.ai/wiki/library/arithmetic_functions/turturean_2026_positive_density_equality_set_erdos_problem/theorem_1_1 https://erdosproblems.ai/wiki/library/arithmetic_functions/turturean_2026_positive_density_equality_set_erdos_problem/theorem_1_4 https://erdosproblems.ai/wiki/library/arithmetic_functions/wang_crapis_2026_complete_answer_erdos_problem_690 https://erdosproblems.ai/wiki/library/arithmetic_functions/wang_crapis_2026_complete_answer_erdos_problem_690/certificate_4_2 https://erdosproblems.ai/wiki/library/arithmetic_functions/wang_crapis_2026_complete_answer_erdos_problem_690/certificate_4_3 https://erdosproblems.ai/wiki/library/arithmetic_functions/wang_crapis_2026_complete_answer_erdos_problem_690/certificate_4_4 https://erdosproblems.ai/wiki/library/arithmetic_functions/wang_crapis_2026_complete_answer_erdos_problem_690/evidence https://erdosproblems.ai/wiki/library/arithmetic_functions/wang_crapis_2026_complete_answer_erdos_problem_690/evidence/verify https://erdosproblems.ai/wiki/library/arithmetic_functions/wang_crapis_2026_complete_answer_erdos_problem_690/evidence/verify/locator_delta_review https://erdosproblems.ai/wiki/library/arithmetic_functions/wang_crapis_2026_complete_answer_erdos_problem_690/evidence/verify/symbolic_review https://erdosproblems.ai/wiki/library/arithmetic_functions/wang_crapis_2026_complete_answer_erdos_problem_690/lemma_3_1 https://erdosproblems.ai/wiki/library/arithmetic_functions/wang_crapis_2026_complete_answer_erdos_problem_690/lemma_3_2 https://erdosproblems.ai/wiki/library/arithmetic_functions/wang_crapis_2026_complete_answer_erdos_problem_690/lemma_4_1 https://erdosproblems.ai/wiki/library/arithmetic_functions/wang_crapis_2026_complete_answer_erdos_problem_690/proposition_5_1 https://erdosproblems.ai/wiki/library/arithmetic_functions/wang_crapis_2026_complete_answer_erdos_problem_690/proposition_6_1 https://erdosproblems.ai/wiki/library/arithmetic_functions/wang_crapis_2026_complete_answer_erdos_problem_690/theorem_1_1 https://erdosproblems.ai/wiki/library/arithmetic_functions/zeraoulia_2026_fixed_scale_limit_points_distinct_totients https://erdosproblems.ai/wiki/library/covering_systems https://erdosproblems.ai/wiki/library/covering_systems/adenwalla_2025_question_erdos_graham_covering_systems https://erdosproblems.ai/wiki/library/covering_systems/baillie_et_al_1981_problem_sierpinski_concerning_k_2n_1 https://erdosproblems.ai/wiki/library/covering_systems/baillie_et_al_1981_problem_sierpinski_concerning_k_2n_1/covering_p229 https://erdosproblems.ai/wiki/library/covering_systems/baillie_et_al_1981_problem_sierpinski_concerning_k_2n_1/main_result https://erdosproblems.ai/wiki/library/covering_systems/baillie_et_al_1981_problem_sierpinski_concerning_k_2n_1/table_1 https://erdosproblems.ai/wiki/library/covering_systems/baillie_et_al_1981_problem_sierpinski_concerning_k_2n_1/table_2 https://erdosproblems.ai/wiki/library/covering_systems/baillie_et_al_1981_problem_sierpinski_concerning_k_2n_1/table_3 https://erdosproblems.ai/wiki/library/covering_systems/balister_2018_erdos_covering_problem_density_uncovered_set https://erdosproblems.ai/wiki/library/covering_systems/balister_2018_erdos_covering_problem_density_uncovered_set/corollary_6_3 https://erdosproblems.ai/wiki/library/covering_systems/balister_2018_erdos_covering_problem_density_uncovered_set/evidence https://erdosproblems.ai/wiki/library/covering_systems/balister_2018_erdos_covering_problem_density_uncovered_set/external_inputs https://erdosproblems.ai/wiki/library/covering_systems/balister_2018_erdos_covering_problem_density_uncovered_set/lemma_2_1 https://erdosproblems.ai/wiki/library/covering_systems/balister_2018_erdos_covering_problem_density_uncovered_set/lemma_2_2 https://erdosproblems.ai/wiki/library/covering_systems/balister_2018_erdos_covering_problem_density_uncovered_set/lemma_3_3 https://erdosproblems.ai/wiki/library/covering_systems/balister_2018_erdos_covering_problem_density_uncovered_set/lemma_3_4 https://erdosproblems.ai/wiki/library/covering_systems/balister_2018_erdos_covering_problem_density_uncovered_set/lemma_3_5 https://erdosproblems.ai/wiki/library/covering_systems/balister_2018_erdos_covering_problem_density_uncovered_set/lemma_3_6 https://erdosproblems.ai/wiki/library/covering_systems/balister_2018_erdos_covering_problem_density_uncovered_set/lemma_3_7 https://erdosproblems.ai/wiki/library/covering_systems/balister_2018_erdos_covering_problem_density_uncovered_set/lemma_6_2 https://erdosproblems.ai/wiki/library/covering_systems/balister_2018_erdos_covering_problem_density_uncovered_set/lemma_9_2 https://erdosproblems.ai/wiki/library/covering_systems/balister_2018_erdos_covering_problem_density_uncovered_set/lemma_9_3 https://erdosproblems.ai/wiki/library/covering_systems/balister_2018_erdos_covering_problem_density_uncovered_set/lemma_9_4 https://erdosproblems.ai/wiki/library/covering_systems/balister_2018_erdos_covering_problem_density_uncovered_set/numerical_bounds https://erdosproblems.ai/wiki/library/covering_systems/balister_2018_erdos_covering_problem_density_uncovered_set/optimization https://erdosproblems.ai/wiki/library/covering_systems/balister_2018_erdos_covering_problem_density_uncovered_set/sieve_construction https://erdosproblems.ai/wiki/library/covering_systems/balister_2018_erdos_covering_problem_density_uncovered_set/smooth_tail_sums https://erdosproblems.ai/wiki/library/covering_systems/balister_2018_erdos_covering_problem_density_uncovered_set/theorem_10_1 https://erdosproblems.ai/wiki/library/covering_systems/balister_2018_erdos_covering_problem_density_uncovered_set/theorem_10_2 https://erdosproblems.ai/wiki/library/covering_systems/balister_2018_erdos_covering_problem_density_uncovered_set/theorem_1_1 https://erdosproblems.ai/wiki/library/covering_systems/balister_2018_erdos_covering_problem_density_uncovered_set/theorem_1_2 https://erdosproblems.ai/wiki/library/covering_systems/balister_2018_erdos_covering_problem_density_uncovered_set/theorem_1_3 https://erdosproblems.ai/wiki/library/covering_systems/balister_2018_erdos_covering_problem_density_uncovered_set/theorem_1_4 https://erdosproblems.ai/wiki/library/covering_systems/balister_2018_erdos_covering_problem_density_uncovered_set/theorem_3_1 https://erdosproblems.ai/wiki/library/covering_systems/balister_2018_erdos_covering_problem_density_uncovered_set/theorem_3_2 https://erdosproblems.ai/wiki/library/covering_systems/balister_2018_erdos_covering_problem_density_uncovered_set/theorem_5_1 https://erdosproblems.ai/wiki/library/covering_systems/balister_2018_erdos_covering_problem_density_uncovered_set/theorem_6_1 https://erdosproblems.ai/wiki/library/covering_systems/balister_2018_erdos_covering_problem_density_uncovered_set/theorem_7_1 https://erdosproblems.ai/wiki/library/covering_systems/balister_2018_erdos_covering_problem_density_uncovered_set/theorem_8_1 https://erdosproblems.ai/wiki/library/covering_systems/balister_2021_erdos_selfridge_problem_square_free_moduli https://erdosproblems.ai/wiki/library/covering_systems/balister_2021_erdos_selfridge_problem_square_free_moduli/corollary_5_2 https://erdosproblems.ai/wiki/library/covering_systems/balister_2021_erdos_selfridge_problem_square_free_moduli/evidence https://erdosproblems.ai/wiki/library/covering_systems/balister_2021_erdos_selfridge_problem_square_free_moduli/lemma_2_1 https://erdosproblems.ai/wiki/library/covering_systems/balister_2021_erdos_selfridge_problem_square_free_moduli/lemma_3_3 https://erdosproblems.ai/wiki/library/covering_systems/balister_2021_erdos_selfridge_problem_square_free_moduli/lemma_3_4 https://erdosproblems.ai/wiki/library/covering_systems/balister_2021_erdos_selfridge_problem_square_free_moduli/lemma_4_2 https://erdosproblems.ai/wiki/library/covering_systems/balister_2021_erdos_selfridge_problem_square_free_moduli/lemma_5_3 https://erdosproblems.ai/wiki/library/covering_systems/balister_2021_erdos_selfridge_problem_square_free_moduli/lemma_5_4 https://erdosproblems.ai/wiki/library/covering_systems/balister_2021_erdos_selfridge_problem_square_free_moduli/proposition_4_1 https://erdosproblems.ai/wiki/library/covering_systems/balister_2021_erdos_selfridge_problem_square_free_moduli/remark_p625 https://erdosproblems.ai/wiki/library/covering_systems/balister_2021_erdos_selfridge_problem_square_free_moduli/theorem_1_1 https://erdosproblems.ai/wiki/library/covering_systems/balister_2021_erdos_selfridge_problem_square_free_moduli/theorem_1_2 https://erdosproblems.ai/wiki/library/covering_systems/balister_2021_erdos_selfridge_problem_square_free_moduli/theorem_1_3 https://erdosproblems.ai/wiki/library/covering_systems/balister_2021_erdos_selfridge_problem_square_free_moduli/theorem_1_4 https://erdosproblems.ai/wiki/library/covering_systems/balister_2021_erdos_selfridge_problem_square_free_moduli/theorem_3_1 https://erdosproblems.ai/wiki/library/covering_systems/balister_2021_erdos_selfridge_problem_square_free_moduli/theorem_3_2 https://erdosproblems.ai/wiki/library/covering_systems/balister_2021_erdos_selfridge_problem_square_free_moduli/theorem_5_1 https://erdosproblems.ai/wiki/library/covering_systems/banks_et_al_2014_sierpinski_carmichael_numbers https://erdosproblems.ai/wiki/library/covering_systems/banks_et_al_2014_sierpinski_carmichael_numbers/corollary_1 https://erdosproblems.ai/wiki/library/covering_systems/banks_et_al_2014_sierpinski_carmichael_numbers/proposition_1 https://erdosproblems.ai/wiki/library/covering_systems/banks_et_al_2014_sierpinski_carmichael_numbers/theorem_1 https://erdosproblems.ai/wiki/library/covering_systems/banks_et_al_2014_sierpinski_carmichael_numbers/theorem_2 https://erdosproblems.ai/wiki/library/covering_systems/banks_et_al_2014_sierpinski_carmichael_numbers/theorem_3 https://erdosproblems.ai/wiki/library/covering_systems/berger_1986_necessary_condition_odd_covering_systems https://erdosproblems.ai/wiki/library/covering_systems/berger_1986_necessary_condition_odd_covering_systems/covering_system_condition https://erdosproblems.ai/wiki/library/covering_systems/berger_1986_necessary_condition_odd_covering_systems/geometric_obstruction https://erdosproblems.ai/wiki/library/covering_systems/berger_1986_necessary_condition_odd_covering_systems/nilpotent_group_corollary https://erdosproblems.ai/wiki/library/covering_systems/berger_1986_necessary_condition_odd_covering_systems/prime_adic_boxes https://erdosproblems.ai/wiki/library/covering_systems/berger_1986_necessary_condition_odd_covering_systems/prime_factor_corollaries https://erdosproblems.ai/wiki/library/covering_systems/berger_1986_necessary_condition_odd_covering_systems/selfridge_comparison https://erdosproblems.ai/wiki/library/covering_systems/berger_1987_necessary_condition_odd_covering_systems_ii https://erdosproblems.ai/wiki/library/covering_systems/berger_1987_necessary_condition_odd_covering_systems_ii/block_reduction https://erdosproblems.ai/wiki/library/covering_systems/berger_1987_necessary_condition_odd_covering_systems_ii/forest_union_bound https://erdosproblems.ai/wiki/library/covering_systems/berger_1987_necessary_condition_odd_covering_systems_ii/geometric_obstruction https://erdosproblems.ai/wiki/library/covering_systems/berger_1987_necessary_condition_odd_covering_systems_ii/six_prime_corollary https://erdosproblems.ai/wiki/library/covering_systems/berger_1987_necessary_condition_odd_covering_systems_ii/theorem https://erdosproblems.ai/wiki/library/covering_systems/bispels_2025_further_investigation_covering_systems_odd_moduli https://erdosproblems.ai/wiki/library/covering_systems/cambie_2025_proving_it_is_impossible_erdos_problem https://erdosproblems.ai/wiki/library/covering_systems/chen_2000_integers_form_k2n_1 https://erdosproblems.ai/wiki/library/covering_systems/chen_2000_integers_form_k2n_1/corollary_p356 https://erdosproblems.ai/wiki/library/covering_systems/chen_2000_integers_form_k2n_1/lemma_2 https://erdosproblems.ai/wiki/library/covering_systems/chen_2000_integers_form_k2n_1/theorem_1 https://erdosproblems.ai/wiki/library/covering_systems/chen_2000_integers_form_k2n_1/theorem_2 https://erdosproblems.ai/wiki/library/covering_systems/chen_2003_integers_forms_kr_2n_kr2n_1 https://erdosproblems.ai/wiki/library/covering_systems/chen_2003_integers_forms_kr_2n_kr2n_1/corollary_1 https://erdosproblems.ai/wiki/library/covering_systems/chen_2003_integers_forms_kr_2n_kr2n_1/corollary_2 https://erdosproblems.ai/wiki/library/covering_systems/chen_2003_integers_forms_kr_2n_kr2n_1/theorem_1 https://erdosproblems.ai/wiki/library/covering_systems/chen_2003_integers_forms_kr_2n_kr2n_1/theorem_2 https://erdosproblems.ai/wiki/library/covering_systems/chen_2005_disjoint_arithmetic_progressions https://erdosproblems.ai/wiki/library/covering_systems/chen_2005_disjoint_arithmetic_progressions/lemma_1 https://erdosproblems.ai/wiki/library/covering_systems/chen_2005_disjoint_arithmetic_progressions/lemma_2 https://erdosproblems.ai/wiki/library/covering_systems/chen_2005_disjoint_arithmetic_progressions/lemma_3 https://erdosproblems.ai/wiki/library/covering_systems/chen_2005_disjoint_arithmetic_progressions/lemma_4 https://erdosproblems.ai/wiki/library/covering_systems/chen_2005_disjoint_arithmetic_progressions/lemma_5 https://erdosproblems.ai/wiki/library/covering_systems/chen_2005_disjoint_arithmetic_progressions/lemma_6 https://erdosproblems.ai/wiki/library/covering_systems/chen_2005_disjoint_arithmetic_progressions/theorem https://erdosproblems.ai/wiki/library/covering_systems/cochrane_1996_covering_congruences_higher_dimensions https://erdosproblems.ai/wiki/library/covering_systems/cochrane_1996_covering_congruences_higher_dimensions/higher_dimensional_extension https://erdosproblems.ai/wiki/library/covering_systems/cochrane_1996_covering_congruences_higher_dimensions/lemma_1 https://erdosproblems.ai/wiki/library/covering_systems/cochrane_1996_covering_congruences_higher_dimensions/lemma_2 https://erdosproblems.ai/wiki/library/covering_systems/cochrane_1996_covering_congruences_higher_dimensions/odd_even_composite_cover https://erdosproblems.ai/wiki/library/covering_systems/cochrane_1996_covering_congruences_higher_dimensions/other_constructions_and_questions https://erdosproblems.ai/wiki/library/covering_systems/cochrane_1996_covering_congruences_higher_dimensions/subgroup_matrix_corollaries https://erdosproblems.ai/wiki/library/covering_systems/cochrane_1996_covering_congruences_higher_dimensions/theorem https://erdosproblems.ai/wiki/library/covering_systems/crootiii_2003_non_intersecting_arithmetic_progressions https://erdosproblems.ai/wiki/library/covering_systems/crootiii_2003_non_intersecting_arithmetic_progressions/corollary_to_theorem_1 https://erdosproblems.ai/wiki/library/covering_systems/crootiii_2003_non_intersecting_arithmetic_progressions/lemma_1 https://erdosproblems.ai/wiki/library/covering_systems/crootiii_2003_non_intersecting_arithmetic_progressions/lemma_2 https://erdosproblems.ai/wiki/library/covering_systems/crootiii_2003_non_intersecting_arithmetic_progressions/lower_bound https://erdosproblems.ai/wiki/library/covering_systems/crootiii_2003_non_intersecting_arithmetic_progressions/powerful_tail https://erdosproblems.ai/wiki/library/covering_systems/crootiii_2003_non_intersecting_arithmetic_progressions/prime_reciprocal_bound https://erdosproblems.ai/wiki/library/covering_systems/crootiii_2003_non_intersecting_arithmetic_progressions/selection_lemma https://erdosproblems.ai/wiki/library/covering_systems/crootiii_2003_non_intersecting_arithmetic_progressions/smooth_prime_powers https://erdosproblems.ai/wiki/library/covering_systems/crootiii_2003_non_intersecting_arithmetic_progressions/theorem_1 https://erdosproblems.ai/wiki/library/covering_systems/de_la_breteche_2013_non_intersecting_arithmetic_progressions https://erdosproblems.ai/wiki/library/covering_systems/de_la_breteche_2013_non_intersecting_arithmetic_progressions/conjecture_1 https://erdosproblems.ai/wiki/library/covering_systems/de_la_breteche_2013_non_intersecting_arithmetic_progressions/conjecture_2 https://erdosproblems.ai/wiki/library/covering_systems/de_la_breteche_2013_non_intersecting_arithmetic_progressions/descending_chain https://erdosproblems.ai/wiki/library/covering_systems/de_la_breteche_2013_non_intersecting_arithmetic_progressions/external_inputs https://erdosproblems.ai/wiki/library/covering_systems/de_la_breteche_2013_non_intersecting_arithmetic_progressions/lemma_3_1 https://erdosproblems.ai/wiki/library/covering_systems/de_la_breteche_2013_non_intersecting_arithmetic_progressions/lemma_3_2 https://erdosproblems.ai/wiki/library/covering_systems/de_la_breteche_2013_non_intersecting_arithmetic_progressions/lemma_3_3 https://erdosproblems.ai/wiki/library/covering_systems/de_la_breteche_2013_non_intersecting_arithmetic_progressions/lemma_3_4 https://erdosproblems.ai/wiki/library/covering_systems/de_la_breteche_2013_non_intersecting_arithmetic_progressions/lemma_3_5 https://erdosproblems.ai/wiki/library/covering_systems/de_la_breteche_2013_non_intersecting_arithmetic_progressions/lower_bound https://erdosproblems.ai/wiki/library/covering_systems/de_la_breteche_2013_non_intersecting_arithmetic_progressions/pruning https://erdosproblems.ai/wiki/library/covering_systems/de_la_breteche_2013_non_intersecting_arithmetic_progressions/theorem_1 https://erdosproblems.ai/wiki/library/covering_systems/de_la_breteche_2013_non_intersecting_arithmetic_progressions/theorem_2 https://erdosproblems.ai/wiki/library/covering_systems/de_la_breteche_2013_non_intersecting_arithmetic_progressions/theorem_3 https://erdosproblems.ai/wiki/library/covering_systems/erdos_1968_problem_p_erdos_s_stein https://erdosproblems.ai/wiki/library/covering_systems/erdos_1968_problem_p_erdos_s_stein/equation_19 https://erdosproblems.ai/wiki/library/covering_systems/erdos_1968_problem_p_erdos_s_stein/equation_2 https://erdosproblems.ai/wiki/library/covering_systems/erdos_1968_problem_p_erdos_s_stein/equation_21 https://erdosproblems.ai/wiki/library/covering_systems/erdos_1968_problem_p_erdos_s_stein/equation_9 https://erdosproblems.ai/wiki/library/covering_systems/erdos_1968_problem_p_erdos_s_stein/external_inputs https://erdosproblems.ai/wiki/library/covering_systems/erdos_1968_problem_p_erdos_s_stein/lemma_1 https://erdosproblems.ai/wiki/library/covering_systems/erdos_1968_problem_p_erdos_s_stein/lemma_2 https://erdosproblems.ai/wiki/library/covering_systems/erdos_1968_problem_p_erdos_s_stein/lemma_3 https://erdosproblems.ai/wiki/library/covering_systems/erdos_1968_problem_p_erdos_s_stein/lemma_4 https://erdosproblems.ai/wiki/library/covering_systems/erdos_1968_problem_p_erdos_s_stein/lower_bound https://erdosproblems.ai/wiki/library/covering_systems/erdos_1968_problem_p_erdos_s_stein/theorem_1 https://erdosproblems.ai/wiki/library/covering_systems/erdos_1968_problem_p_erdos_s_stein/theorem_2 https://erdosproblems.ai/wiki/library/covering_systems/erdos_1968_problem_p_erdos_s_stein/theorem_2_lower_bound https://erdosproblems.ai/wiki/library/covering_systems/erdos_odlyzko_1979_density_odd_integers_form_p_1_2_n_related_questions https://erdosproblems.ai/wiki/library/covering_systems/erdos_odlyzko_1979_density_odd_integers_form_p_1_2_n_related_questions/conjecture_p258 https://erdosproblems.ai/wiki/library/covering_systems/erdos_odlyzko_1979_density_odd_integers_form_p_1_2_n_related_questions/lemma_1 https://erdosproblems.ai/wiki/library/covering_systems/erdos_odlyzko_1979_density_odd_integers_form_p_1_2_n_related_questions/theorem_1 https://erdosproblems.ai/wiki/library/covering_systems/erdos_odlyzko_1979_density_odd_integers_form_p_1_2_n_related_questions/theorem_2 https://erdosproblems.ai/wiki/library/covering_systems/filaseta_2000_irreducibility_theorem https://erdosproblems.ai/wiki/library/covering_systems/filaseta_2000_irreducibility_theorem/corollary_p3 https://erdosproblems.ai/wiki/library/covering_systems/filaseta_2000_irreducibility_theorem/illinois_talk_1999 https://erdosproblems.ai/wiki/library/covering_systems/filaseta_2000_irreducibility_theorem/theorem_1 https://erdosproblems.ai/wiki/library/covering_systems/filaseta_2000_irreducibility_theorem/theorem_2 https://erdosproblems.ai/wiki/library/covering_systems/filaseta_2001_coverings_integers_schinzel_irreducibility https://erdosproblems.ai/wiki/library/covering_systems/filaseta_2001_coverings_integers_schinzel_irreducibility/open_problem_1 https://erdosproblems.ai/wiki/library/covering_systems/filaseta_2001_coverings_integers_schinzel_irreducibility/open_problem_2 https://erdosproblems.ai/wiki/library/covering_systems/filaseta_2001_coverings_integers_schinzel_irreducibility/theorem_1 https://erdosproblems.ai/wiki/library/covering_systems/filaseta_2001_coverings_integers_schinzel_irreducibility/theorem_2 https://erdosproblems.ai/wiki/library/covering_systems/filaseta_2001_coverings_integers_schinzel_irreducibility/theorem_3 https://erdosproblems.ai/wiki/library/covering_systems/filaseta_2001_coverings_integers_schinzel_irreducibility/theorem_4 https://erdosproblems.ai/wiki/library/covering_systems/filaseta_2008_powers_associated_sierpinski_numbers_riesel https://erdosproblems.ai/wiki/library/covering_systems/filaseta_2008_powers_associated_sierpinski_numbers_riesel/theorem_1 https://erdosproblems.ai/wiki/library/covering_systems/filaseta_2008_powers_associated_sierpinski_numbers_riesel/theorem_10 https://erdosproblems.ai/wiki/library/covering_systems/filaseta_2008_powers_associated_sierpinski_numbers_riesel/theorem_11 https://erdosproblems.ai/wiki/library/covering_systems/filaseta_2008_powers_associated_sierpinski_numbers_riesel/theorem_15 https://erdosproblems.ai/wiki/library/covering_systems/filaseta_2008_powers_associated_sierpinski_numbers_riesel/theorem_23 https://erdosproblems.ai/wiki/library/covering_systems/filaseta_2008_powers_associated_sierpinski_numbers_riesel/theorem_5 https://erdosproblems.ai/wiki/library/covering_systems/filaseta_2008_powers_associated_sierpinski_numbers_riesel/theorem_8 https://erdosproblems.ai/wiki/library/covering_systems/filaseta_2024_covering_systems_sum_reciprocals_moduli_close https://erdosproblems.ai/wiki/library/covering_systems/filaseta_2024_covering_systems_sum_reciprocals_moduli_close/theorem_1 https://erdosproblems.ai/wiki/library/covering_systems/filaseta_2024_covering_systems_sum_reciprocals_moduli_close/theorem_2 https://erdosproblems.ai/wiki/library/covering_systems/fornal_2026_large_gcd_disjoint_residue_classes https://erdosproblems.ai/wiki/library/covering_systems/fornal_2026_large_gcd_disjoint_residue_classes/corollary_1_2 https://erdosproblems.ai/wiki/library/covering_systems/fornal_2026_large_gcd_disjoint_residue_classes/external_inputs https://erdosproblems.ai/wiki/library/covering_systems/fornal_2026_large_gcd_disjoint_residue_classes/graph_weights https://erdosproblems.ai/wiki/library/covering_systems/fornal_2026_large_gcd_disjoint_residue_classes/lemma_3_1 https://erdosproblems.ai/wiki/library/covering_systems/fornal_2026_large_gcd_disjoint_residue_classes/lemma_3_2 https://erdosproblems.ai/wiki/library/covering_systems/fornal_2026_large_gcd_disjoint_residue_classes/lemma_4_1 https://erdosproblems.ai/wiki/library/covering_systems/fornal_2026_large_gcd_disjoint_residue_classes/lemma_5_1 https://erdosproblems.ai/wiki/library/covering_systems/fornal_2026_large_gcd_disjoint_residue_classes/proposition_2_1 https://erdosproblems.ai/wiki/library/covering_systems/fornal_2026_large_gcd_disjoint_residue_classes/proposition_2_2 https://erdosproblems.ai/wiki/library/covering_systems/fornal_2026_large_gcd_disjoint_residue_classes/remark_1 https://erdosproblems.ai/wiki/library/covering_systems/fornal_2026_large_gcd_disjoint_residue_classes/theorem_1_1 https://erdosproblems.ai/wiki/library/covering_systems/graham_1964_fibonacci_like_sequence_composite_numbers https://erdosproblems.ai/wiki/library/covering_systems/graham_1964_fibonacci_like_sequence_composite_numbers/main_theorem https://erdosproblems.ai/wiki/library/covering_systems/granville_pappalardi_2026_two_dimensional_covering_systems https://erdosproblems.ai/wiki/library/covering_systems/granville_pappalardi_2026_two_dimensional_covering_systems/conjecture_1 https://erdosproblems.ai/wiki/library/covering_systems/granville_pappalardi_2026_two_dimensional_covering_systems/conjecture_2 https://erdosproblems.ai/wiki/library/covering_systems/granville_pappalardi_2026_two_dimensional_covering_systems/corollary_1 https://erdosproblems.ai/wiki/library/covering_systems/granville_pappalardi_2026_two_dimensional_covering_systems/proposition_3 https://erdosproblems.ai/wiki/library/covering_systems/guo_sun_2005_odd_covering_systems_distinct_moduli https://erdosproblems.ai/wiki/library/covering_systems/guo_sun_2005_odd_covering_systems_distinct_moduli/theorem_1 https://erdosproblems.ai/wiki/library/covering_systems/harrington_2015_two_questions_covering_systems https://erdosproblems.ai/wiki/library/covering_systems/harrington_2015_two_questions_covering_systems/question_1_4 https://erdosproblems.ai/wiki/library/covering_systems/harrington_2015_two_questions_covering_systems/question_1_6 https://erdosproblems.ai/wiki/library/covering_systems/harrington_2015_two_questions_covering_systems/questions_6_1_6_2 https://erdosproblems.ai/wiki/library/covering_systems/harrington_2015_two_questions_covering_systems/section_4_construction https://erdosproblems.ai/wiki/library/covering_systems/harrington_2015_two_questions_covering_systems/theorem_2 https://erdosproblems.ai/wiki/library/covering_systems/harrington_2015_two_questions_covering_systems/theorem_4 https://erdosproblems.ai/wiki/library/covering_systems/harrington_2015_two_questions_covering_systems/theorem_5 https://erdosproblems.ai/wiki/library/covering_systems/harrington_sun_wong_2022_covering_systems_odd_moduli https://erdosproblems.ai/wiki/library/covering_systems/harrington_sun_wong_2022_covering_systems_odd_moduli/corollary_5_2 https://erdosproblems.ai/wiki/library/covering_systems/harrington_sun_wong_2022_covering_systems_odd_moduli/lemma_5_1 https://erdosproblems.ai/wiki/library/covering_systems/harrington_sun_wong_2022_covering_systems_odd_moduli/question_5_3 https://erdosproblems.ai/wiki/library/covering_systems/harrington_sun_wong_2022_covering_systems_odd_moduli/theorem_3_2 https://erdosproblems.ai/wiki/library/covering_systems/harrington_sun_wong_2022_covering_systems_odd_moduli/theorem_3_4 https://erdosproblems.ai/wiki/library/covering_systems/harrington_sun_wong_2022_covering_systems_odd_moduli/theorem_4_1 https://erdosproblems.ai/wiki/library/covering_systems/harrington_sun_wong_2022_covering_systems_odd_moduli/theorem_4_2 https://erdosproblems.ai/wiki/library/covering_systems/harrington_sun_wong_2022_covering_systems_odd_moduli/theorem_4_3 https://erdosproblems.ai/wiki/library/covering_systems/ho_2026_non_intersecting_arithmetic_progressions_spread_cores https://erdosproblems.ai/wiki/library/covering_systems/ho_2026_non_intersecting_arithmetic_progressions_spread_cores/corollary_1_2 https://erdosproblems.ai/wiki/library/covering_systems/ho_2026_non_intersecting_arithmetic_progressions_spread_cores/corollary_2_2 https://erdosproblems.ai/wiki/library/covering_systems/ho_2026_non_intersecting_arithmetic_progressions_spread_cores/equation_7 https://erdosproblems.ai/wiki/library/covering_systems/ho_2026_non_intersecting_arithmetic_progressions_spread_cores/lemma_3_2 https://erdosproblems.ai/wiki/library/covering_systems/ho_2026_non_intersecting_arithmetic_progressions_spread_cores/lemma_4_1 https://erdosproblems.ai/wiki/library/covering_systems/ho_2026_non_intersecting_arithmetic_progressions_spread_cores/lemma_5_1 https://erdosproblems.ai/wiki/library/covering_systems/ho_2026_non_intersecting_arithmetic_progressions_spread_cores/proposition_2_1 https://erdosproblems.ai/wiki/library/covering_systems/ho_2026_non_intersecting_arithmetic_progressions_spread_cores/proposition_3_1 https://erdosproblems.ai/wiki/library/covering_systems/ho_2026_non_intersecting_arithmetic_progressions_spread_cores/proposition_4_2 https://erdosproblems.ai/wiki/library/covering_systems/ho_2026_non_intersecting_arithmetic_progressions_spread_cores/supremum_convention https://erdosproblems.ai/wiki/library/covering_systems/ho_2026_non_intersecting_arithmetic_progressions_spread_cores/theorem_1_1 https://erdosproblems.ai/wiki/library/covering_systems/hough_2015_solution_minimum_modulus_problem_covering_systems https://erdosproblems.ai/wiki/library/covering_systems/hough_2015_solution_minimum_modulus_problem_covering_systems/evidence https://erdosproblems.ai/wiki/library/covering_systems/hough_2015_solution_minimum_modulus_problem_covering_systems/initial_stage https://erdosproblems.ai/wiki/library/covering_systems/hough_2015_solution_minimum_modulus_problem_covering_systems/lemma_2 https://erdosproblems.ai/wiki/library/covering_systems/hough_2015_solution_minimum_modulus_problem_covering_systems/lemma_4 https://erdosproblems.ai/wiki/library/covering_systems/hough_2015_solution_minimum_modulus_problem_covering_systems/lemma_5 https://erdosproblems.ai/wiki/library/covering_systems/hough_2015_solution_minimum_modulus_problem_covering_systems/lemma_7 https://erdosproblems.ai/wiki/library/covering_systems/hough_2015_solution_minimum_modulus_problem_covering_systems/numerical_certificate https://erdosproblems.ai/wiki/library/covering_systems/hough_2015_solution_minimum_modulus_problem_covering_systems/proposition_1 https://erdosproblems.ai/wiki/library/covering_systems/hough_2015_solution_minimum_modulus_problem_covering_systems/proposition_3 https://erdosproblems.ai/wiki/library/covering_systems/hough_2015_solution_minimum_modulus_problem_covering_systems/qualitative_theorem_1 https://erdosproblems.ai/wiki/library/covering_systems/hough_2015_solution_minimum_modulus_problem_covering_systems/relative_local_lemma https://erdosproblems.ai/wiki/library/covering_systems/hough_2015_solution_minimum_modulus_problem_covering_systems/sieve_setup https://erdosproblems.ai/wiki/library/covering_systems/hough_2015_solution_minimum_modulus_problem_covering_systems/theorem_1 https://erdosproblems.ai/wiki/library/covering_systems/hough_2015_solution_minimum_modulus_problem_covering_systems/theorem_2 https://erdosproblems.ai/wiki/library/covering_systems/hough_2015_solution_minimum_modulus_problem_covering_systems/theorem_6 https://erdosproblems.ai/wiki/library/covering_systems/hough_2019_covering_systems_restricted_divisibility https://erdosproblems.ai/wiki/library/covering_systems/ismailescu_2014_new_kind_fibonacci_like_sequence_composite https://erdosproblems.ai/wiki/library/covering_systems/ismailescu_2014_new_kind_fibonacci_like_sequence_composite/lemma_2 https://erdosproblems.ai/wiki/library/covering_systems/ismailescu_2014_new_kind_fibonacci_like_sequence_composite/theorem_1 https://erdosproblems.ai/wiki/library/covering_systems/ismailescu_2014_new_kind_fibonacci_like_sequence_composite/theorem_3 https://erdosproblems.ai/wiki/library/covering_systems/izotov_1995_note_sierpinski_numbers https://erdosproblems.ai/wiki/library/covering_systems/izotov_1995_note_sierpinski_numbers/theorem_1 https://erdosproblems.ai/wiki/library/covering_systems/klein_2023_jth_smallest_modulus_covering_system https://erdosproblems.ai/wiki/library/covering_systems/klein_2023_jth_smallest_modulus_covering_system/claim_2_1 https://erdosproblems.ai/wiki/library/covering_systems/klein_2023_jth_smallest_modulus_covering_system/definitions https://erdosproblems.ai/wiki/library/covering_systems/klein_2023_jth_smallest_modulus_covering_system/distortion_intersection_bound https://erdosproblems.ai/wiki/library/covering_systems/klein_2023_jth_smallest_modulus_covering_system/distortion_setup https://erdosproblems.ai/wiki/library/covering_systems/klein_2023_jth_smallest_modulus_covering_system/lemma_3_1 https://erdosproblems.ai/wiki/library/covering_systems/klein_2023_jth_smallest_modulus_covering_system/lemma_3_2 https://erdosproblems.ai/wiki/library/covering_systems/klein_2023_jth_smallest_modulus_covering_system/lemma_3_3 https://erdosproblems.ai/wiki/library/covering_systems/klein_2023_jth_smallest_modulus_covering_system/lemma_3_4 https://erdosproblems.ai/wiki/library/covering_systems/klein_2023_jth_smallest_modulus_covering_system/theorem_1 https://erdosproblems.ai/wiki/library/covering_systems/klein_2023_jth_smallest_modulus_covering_system/theorem_2 https://erdosproblems.ai/wiki/library/covering_systems/klein_2023_jth_smallest_modulus_covering_system/theorem_3 https://erdosproblems.ai/wiki/library/covering_systems/margolis_2019_herzog_schonheim_conjecture_small_groups https://erdosproblems.ai/wiki/library/covering_systems/margolis_2019_herzog_schonheim_conjecture_small_groups/lemma_2_3 https://erdosproblems.ai/wiki/library/covering_systems/margolis_2019_herzog_schonheim_conjecture_small_groups/proposition_4_2 https://erdosproblems.ai/wiki/library/covering_systems/margolis_2019_herzog_schonheim_conjecture_small_groups/proposition_4_3 https://erdosproblems.ai/wiki/library/covering_systems/margolis_2019_herzog_schonheim_conjecture_small_groups/proposition_4_5 https://erdosproblems.ai/wiki/library/covering_systems/margolis_2019_herzog_schonheim_conjecture_small_groups/proposition_4_7 https://erdosproblems.ai/wiki/library/covering_systems/margolis_2019_herzog_schonheim_conjecture_small_groups/theorem_a https://erdosproblems.ai/wiki/library/covering_systems/margolis_2019_herzog_schonheim_conjecture_small_groups/theorem_b https://erdosproblems.ai/wiki/library/covering_systems/mcnew_2026_densities_covering_numbers_abundant_numbers https://erdosproblems.ai/wiki/library/covering_systems/mcnew_2026_densities_covering_numbers_abundant_numbers/corollary_3_2 https://erdosproblems.ai/wiki/library/covering_systems/mcnew_2026_densities_covering_numbers_abundant_numbers/corollary_3_3 https://erdosproblems.ai/wiki/library/covering_systems/mcnew_2026_densities_covering_numbers_abundant_numbers/corollary_4_2 https://erdosproblems.ai/wiki/library/covering_systems/mcnew_2026_densities_covering_numbers_abundant_numbers/corollary_4_8 https://erdosproblems.ai/wiki/library/covering_systems/mcnew_2026_densities_covering_numbers_abundant_numbers/lemma_3_1 https://erdosproblems.ai/wiki/library/covering_systems/mcnew_2026_densities_covering_numbers_abundant_numbers/lemma_4_10 https://erdosproblems.ai/wiki/library/covering_systems/mcnew_2026_densities_covering_numbers_abundant_numbers/lemma_4_9 https://erdosproblems.ai/wiki/library/covering_systems/mcnew_2026_densities_covering_numbers_abundant_numbers/theorem_2_1 https://erdosproblems.ai/wiki/library/covering_systems/mcnew_2026_densities_covering_numbers_abundant_numbers/theorem_2_2 https://erdosproblems.ai/wiki/library/covering_systems/mcnew_2026_densities_covering_numbers_abundant_numbers/theorem_2_3 https://erdosproblems.ai/wiki/library/covering_systems/mcnew_2026_densities_covering_numbers_abundant_numbers/theorem_2_5 https://erdosproblems.ai/wiki/library/covering_systems/mcnew_2026_densities_covering_numbers_abundant_numbers/theorem_4_11 https://erdosproblems.ai/wiki/library/covering_systems/mcnew_2026_densities_covering_numbers_abundant_numbers/theorem_4_6 https://erdosproblems.ai/wiki/library/covering_systems/mian_2026_kernel_checked_exclusions_odd_covering https://erdosproblems.ai/wiki/library/covering_systems/mian_2026_kernel_checked_exclusions_odd_covering/capacity_prod_relax https://erdosproblems.ai/wiki/library/covering_systems/mian_2026_kernel_checked_exclusions_odd_covering/enumeration https://erdosproblems.ai/wiki/library/covering_systems/mian_2026_kernel_checked_exclusions_odd_covering/evidence https://erdosproblems.ai/wiki/library/covering_systems/mian_2026_kernel_checked_exclusions_odd_covering/formal_bridge https://erdosproblems.ai/wiki/library/covering_systems/mian_2026_kernel_checked_exclusions_odd_covering/lemma_4_1 https://erdosproblems.ai/wiki/library/covering_systems/mian_2026_kernel_checked_exclusions_odd_covering/lemma_4_2 https://erdosproblems.ai/wiki/library/covering_systems/mian_2026_kernel_checked_exclusions_odd_covering/lemma_4_3 https://erdosproblems.ai/wiki/library/covering_systems/mian_2026_kernel_checked_exclusions_odd_covering/odd_covering_lcm_gt_10000 https://erdosproblems.ai/wiki/library/covering_systems/mian_2026_kernel_checked_exclusions_odd_covering/periodicity https://erdosproblems.ai/wiki/library/covering_systems/mian_2026_kernel_checked_exclusions_odd_covering/theorem_4_4 https://erdosproblems.ai/wiki/library/covering_systems/nielsen_2009_covering_system_smallest_modulus_40 https://erdosproblems.ai/wiki/library/covering_systems/nielsen_2009_covering_system_smallest_modulus_40/arrow_finitization https://erdosproblems.ai/wiki/library/covering_systems/nielsen_2009_covering_system_smallest_modulus_40/construction_ledger https://erdosproblems.ai/wiki/library/covering_systems/nielsen_2009_covering_system_smallest_modulus_40/initial_primes_2_7 https://erdosproblems.ai/wiki/library/covering_systems/nielsen_2009_covering_system_smallest_modulus_40/later_signature_certificate https://erdosproblems.ai/wiki/library/covering_systems/nielsen_2009_covering_system_smallest_modulus_40/main_theorem https://erdosproblems.ai/wiki/library/covering_systems/nielsen_2009_covering_system_smallest_modulus_40/notation https://erdosproblems.ai/wiki/library/covering_systems/nielsen_2009_covering_system_smallest_modulus_40/prime_11_template https://erdosproblems.ai/wiki/library/covering_systems/nielsen_2009_covering_system_smallest_modulus_40/prime_13_template https://erdosproblems.ai/wiki/library/covering_systems/nielsen_2009_covering_system_smallest_modulus_40/prime_17_template https://erdosproblems.ai/wiki/library/covering_systems/nielsen_2009_covering_system_smallest_modulus_40/prime_19_template https://erdosproblems.ai/wiki/library/covering_systems/nielsen_2009_covering_system_smallest_modulus_40/prime_23_template https://erdosproblems.ai/wiki/library/covering_systems/nielsen_2009_covering_system_smallest_modulus_40/primes_29_37 https://erdosproblems.ai/wiki/library/covering_systems/nielsen_2009_covering_system_smallest_modulus_40/primes_41_67 https://erdosproblems.ai/wiki/library/covering_systems/nielsen_2009_covering_system_smallest_modulus_40/primes_71_103 https://erdosproblems.ai/wiki/library/covering_systems/nielsen_2009_covering_system_smallest_modulus_40/template_signature_certificate https://erdosproblems.ai/wiki/library/covering_systems/obryant_2006_sun_disjoint_congruence_classes https://erdosproblems.ai/wiki/library/covering_systems/obryant_2006_sun_disjoint_congruence_classes/conjecture_1 https://erdosproblems.ai/wiki/library/covering_systems/obryant_2006_sun_disjoint_congruence_classes/conjecture_4 https://erdosproblems.ai/wiki/library/covering_systems/obryant_2006_sun_disjoint_congruence_classes/lemma_5 https://erdosproblems.ai/wiki/library/covering_systems/obryant_2006_sun_disjoint_congruence_classes/proposition_2 https://erdosproblems.ai/wiki/library/covering_systems/obryant_2006_sun_disjoint_congruence_classes/theorem_3 https://erdosproblems.ai/wiki/library/covering_systems/owens_2014_covering_system_minimum_modulus_42 https://erdosproblems.ai/wiki/library/covering_systems/owens_2014_covering_system_minimum_modulus_42/construction_ledger https://erdosproblems.ai/wiki/library/covering_systems/owens_2014_covering_system_minimum_modulus_42/evidence https://erdosproblems.ai/wiki/library/covering_systems/owens_2014_covering_system_minimum_modulus_42/imported_templates_11_23 https://erdosproblems.ai/wiki/library/covering_systems/owens_2014_covering_system_minimum_modulus_42/initial_primes_2_7 https://erdosproblems.ai/wiki/library/covering_systems/owens_2014_covering_system_minimum_modulus_42/main_theorem https://erdosproblems.ai/wiki/library/covering_systems/owens_2014_covering_system_minimum_modulus_42/notation_and_finitization https://erdosproblems.ai/wiki/library/covering_systems/owens_2014_covering_system_minimum_modulus_42/prime_19 https://erdosproblems.ai/wiki/library/covering_systems/owens_2014_covering_system_minimum_modulus_42/primes_29_41 https://erdosproblems.ai/wiki/library/covering_systems/owens_2014_covering_system_minimum_modulus_42/primes_43_89 https://erdosproblems.ai/wiki/library/covering_systems/owens_2014_covering_system_minimum_modulus_42/signature_and_count_certificate https://erdosproblems.ai/wiki/library/covering_systems/park_2024_proof_kahn_kalai_conjecture https://erdosproblems.ai/wiki/library/covering_systems/park_2024_proof_kahn_kalai_conjecture/definitions https://erdosproblems.ai/wiki/library/covering_systems/park_2024_proof_kahn_kalai_conjecture/fractional_threshold_context https://erdosproblems.ai/wiki/library/covering_systems/park_2024_proof_kahn_kalai_conjecture/iteration https://erdosproblems.ai/wiki/library/covering_systems/park_2024_proof_kahn_kalai_conjecture/lemma_2_1 https://erdosproblems.ai/wiki/library/covering_systems/park_2024_proof_kahn_kalai_conjecture/minimum_fragments https://erdosproblems.ai/wiki/library/covering_systems/park_2024_proof_kahn_kalai_conjecture/proposition_2_3 https://erdosproblems.ai/wiki/library/covering_systems/park_2024_proof_kahn_kalai_conjecture/theorem_1_1 https://erdosproblems.ai/wiki/library/covering_systems/park_2024_proof_kahn_kalai_conjecture/theorem_1_4 https://erdosproblems.ai/wiki/library/covering_systems/porubsky_1978_translated_geometric_progressions_covering_systems https://erdosproblems.ai/wiki/library/covering_systems/porubsky_1978_translated_geometric_progressions_covering_systems/lemma_5 https://erdosproblems.ai/wiki/library/covering_systems/porubsky_1978_translated_geometric_progressions_covering_systems/theorem_1 https://erdosproblems.ai/wiki/library/covering_systems/porubsky_1978_translated_geometric_progressions_covering_systems/theorem_2 https://erdosproblems.ai/wiki/library/covering_systems/porubsky_1978_translated_geometric_progressions_covering_systems/theorem_3 https://erdosproblems.ai/wiki/library/covering_systems/porubsky_1978_translated_geometric_progressions_covering_systems/theorem_4 https://erdosproblems.ai/wiki/library/covering_systems/porubsky_1978_translated_geometric_progressions_covering_systems/theorem_5 https://erdosproblems.ai/wiki/library/covering_systems/porubsky_1978_translated_geometric_progressions_covering_systems/theorem_6 https://erdosproblems.ai/wiki/library/covering_systems/porubsky_1978_translated_geometric_progressions_covering_systems/theorem_7 https://erdosproblems.ai/wiki/library/covering_systems/porubsky_1978_translated_geometric_progressions_covering_systems/theorem_8 https://erdosproblems.ai/wiki/library/covering_systems/schinzel_nd_reducibility_polynomials_covering_systems_congruences https://erdosproblems.ai/wiki/library/covering_systems/simpson_1985_regular_coverings_integers_arithmetic_progressions https://erdosproblems.ai/wiki/library/covering_systems/simpson_1985_regular_coverings_integers_arithmetic_progressions/theorem_1 https://erdosproblems.ai/wiki/library/covering_systems/simpson_1997_crittenden_vanden_eynden_coverings https://erdosproblems.ai/wiki/library/covering_systems/simpson_1997_crittenden_vanden_eynden_coverings/theorem_1 https://erdosproblems.ai/wiki/library/covering_systems/simpson_1997_crittenden_vanden_eynden_coverings/theorem_14 https://erdosproblems.ai/wiki/library/covering_systems/simpson_zeilberger_1991_squarefree_distinct_covering_systems https://erdosproblems.ai/wiki/library/covering_systems/sun_1995_covering_integers_arithmetic_sequences https://erdosproblems.ai/wiki/library/covering_systems/sun_1996_covering_integers_arithmetic_sequences_ii https://erdosproblems.ai/wiki/library/covering_systems/sun_1996_covering_integers_arithmetic_sequences_ii/theorem_1 https://erdosproblems.ai/wiki/library/covering_systems/sun_1996_covering_integers_arithmetic_sequences_ii/theorem_i https://erdosproblems.ai/wiki/library/covering_systems/sun_1996_covering_integers_arithmetic_sequences_ii/theorem_ii https://erdosproblems.ai/wiki/library/covering_systems/sun_1999_covering_multiplicity https://erdosproblems.ai/wiki/library/covering_systems/sun_1999_covering_multiplicity/corollary_2 https://erdosproblems.ai/wiki/library/covering_systems/sun_1999_covering_multiplicity/corollary_4 https://erdosproblems.ai/wiki/library/covering_systems/sun_1999_covering_multiplicity/remark_2 https://erdosproblems.ai/wiki/library/covering_systems/sun_1999_covering_multiplicity/theorem_1 https://erdosproblems.ai/wiki/library/covering_systems/sun_2004_herzog_schonheim_conjecture_uniform_covers https://erdosproblems.ai/wiki/library/covering_systems/sun_2004_herzog_schonheim_conjecture_uniform_covers/corollary_4_2 https://erdosproblems.ai/wiki/library/covering_systems/sun_2004_herzog_schonheim_conjecture_uniform_covers/theorem_1_1 https://erdosproblems.ai/wiki/library/covering_systems/sun_2004_herzog_schonheim_conjecture_uniform_covers/theorem_4_1 https://erdosproblems.ai/wiki/library/covering_systems/sun_2004_herzog_schonheim_conjecture_uniform_covers/theorem_4_3 https://erdosproblems.ai/wiki/library/covering_systems/sun_2004_range_covering_function https://erdosproblems.ai/wiki/library/covering_systems/sun_2004_range_covering_function/corollary_1_1 https://erdosproblems.ai/wiki/library/covering_systems/sun_2004_range_covering_function/corollary_1_2 https://erdosproblems.ai/wiki/library/covering_systems/sun_2004_range_covering_function/theorem_1_1 https://erdosproblems.ai/wiki/library/covering_systems/sun_2004_range_covering_function/theorem_1_2 https://erdosproblems.ai/wiki/library/covering_systems/sun_2004_range_covering_function/theorem_1_3 https://erdosproblems.ai/wiki/library/covering_systems/sun_2005_introduction_papers_covers https://erdosproblems.ai/wiki/library/covering_systems/sun_2005_introduction_papers_covers/generating_theorem https://erdosproblems.ai/wiki/library/covering_systems/sun_2005_introduction_papers_covers/main_theorem_on_equivalence https://erdosproblems.ai/wiki/library/covering_systems/sun_2005_introduction_papers_covers/result_p7 https://erdosproblems.ai/wiki/library/covering_systems/sun_2007_covering_numbers https://erdosproblems.ai/wiki/library/covering_systems/sun_2007_covering_numbers/conjecture_1_1 https://erdosproblems.ai/wiki/library/covering_systems/sun_2007_covering_numbers/corollary_1_2 https://erdosproblems.ai/wiki/library/covering_systems/sun_2007_covering_numbers/corollary_1_3 https://erdosproblems.ai/wiki/library/covering_systems/sun_2007_covering_numbers/theorem_1_1 https://erdosproblems.ai/wiki/library/covering_systems/sun_2007_covering_numbers/theorem_1_2 https://erdosproblems.ai/wiki/library/covering_systems/sun_2007_covering_numbers/theorem_1_3 https://erdosproblems.ai/wiki/library/covering_systems/sun_2007_covering_numbers/theorem_1_4 https://erdosproblems.ai/wiki/library/covering_systems/sun_fang_2008_density_integers_form_p_1_2_n_arithmetic_progressions https://erdosproblems.ai/wiki/library/covering_systems/sun_fang_2008_density_integers_form_p_1_2_n_arithmetic_progressions/corollary_p433 https://erdosproblems.ai/wiki/library/covering_systems/sun_fang_2008_density_integers_form_p_1_2_n_arithmetic_progressions/theorem_p433 https://erdosproblems.ai/wiki/library/covering_systems/zribi_2026_conditional_sharp_estimate_erdos_problem_1190 https://erdosproblems.ai/wiki/library/covering_systems/zribi_2026_conditional_sharp_estimate_erdos_problem_1190/theorem_1 https://erdosproblems.ai/wiki/library/diophantine_problems https://erdosproblems.ai/wiki/library/diophantine_problems/abram_2014_intersections_multiplicative_translates_3_adic_cantor https://erdosproblems.ai/wiki/library/diophantine_problems/abram_2014_intersections_multiplicative_translates_3_adic_cantor/conjecture_1_2 https://erdosproblems.ai/wiki/library/diophantine_problems/abram_2014_intersections_multiplicative_translates_3_adic_cantor/theorem_1_6 https://erdosproblems.ai/wiki/library/diophantine_problems/abram_2014_intersections_multiplicative_translates_3_adic_cantor/theorem_1_7 https://erdosproblems.ai/wiki/library/diophantine_problems/abram_2014_intersections_multiplicative_translates_3_adic_cantor/theorem_1_8 https://erdosproblems.ai/wiki/library/diophantine_problems/abram_2014_intersections_multiplicative_translates_3_adic_cantor/theorem_1_9 https://erdosproblems.ai/wiki/library/diophantine_problems/abram_2014_intersections_multiplicative_translates_3_adic_cantor/theorem_5_2 https://erdosproblems.ai/wiki/library/diophantine_problems/bajpai_2024_arithmetic_progressions_squarefull_numbers https://erdosproblems.ai/wiki/library/diophantine_problems/bajpai_2024_arithmetic_progressions_squarefull_numbers/accepted_manuscript_example https://erdosproblems.ai/wiki/library/diophantine_problems/bajpai_2024_arithmetic_progressions_squarefull_numbers/corollary_1_3 https://erdosproblems.ai/wiki/library/diophantine_problems/bajpai_2024_arithmetic_progressions_squarefull_numbers/evidence https://erdosproblems.ai/wiki/library/diophantine_problems/bajpai_2024_arithmetic_progressions_squarefull_numbers/lemma_2_1 https://erdosproblems.ai/wiki/library/diophantine_problems/bajpai_2024_arithmetic_progressions_squarefull_numbers/lemma_2_2 https://erdosproblems.ai/wiki/library/diophantine_problems/bajpai_2024_arithmetic_progressions_squarefull_numbers/lemma_3_1 https://erdosproblems.ai/wiki/library/diophantine_problems/bajpai_2024_arithmetic_progressions_squarefull_numbers/proposition_5_1 https://erdosproblems.ai/wiki/library/diophantine_problems/bajpai_2024_arithmetic_progressions_squarefull_numbers/proposition_5_2 https://erdosproblems.ai/wiki/library/diophantine_problems/bajpai_2024_arithmetic_progressions_squarefull_numbers/theorem_1_1 https://erdosproblems.ai/wiki/library/diophantine_problems/bajpai_2024_arithmetic_progressions_squarefull_numbers/theorem_1_2 https://erdosproblems.ai/wiki/library/diophantine_problems/bajpai_2024_effective_unit_equations_beyond_three_terms https://erdosproblems.ai/wiki/library/diophantine_problems/bajpai_2024_effective_unit_equations_beyond_three_terms/theorem_1 https://erdosproblems.ai/wiki/library/diophantine_problems/bajpai_2024_effective_unit_equations_beyond_three_terms/theorem_10 https://erdosproblems.ai/wiki/library/diophantine_problems/bajpai_2024_effective_unit_equations_beyond_three_terms/theorem_11 https://erdosproblems.ai/wiki/library/diophantine_problems/bajpai_2024_effective_unit_equations_beyond_three_terms/theorem_3 https://erdosproblems.ai/wiki/library/diophantine_problems/bajpai_2024_effective_unit_equations_beyond_three_terms/theorem_6 https://erdosproblems.ai/wiki/library/diophantine_problems/bajpai_2024_effective_unit_equations_beyond_three_terms/theorem_8 https://erdosproblems.ai/wiki/library/diophantine_problems/bauer_2007_question_erdos_graham https://erdosproblems.ai/wiki/library/diophantine_problems/bauer_2007_question_erdos_graham/theorem_2_1 https://erdosproblems.ai/wiki/library/diophantine_problems/bauer_2007_question_erdos_graham/theorem_2_2 https://erdosproblems.ai/wiki/library/diophantine_problems/bennett_2006_powers_products_consecutive_terms_arithmetic_progression https://erdosproblems.ai/wiki/library/diophantine_problems/bennett_2006_powers_products_consecutive_terms_arithmetic_progression/corollary_1_6 https://erdosproblems.ai/wiki/library/diophantine_problems/bennett_2006_powers_products_consecutive_terms_arithmetic_progression/theorem_1_1 https://erdosproblems.ai/wiki/library/diophantine_problems/bennett_2006_powers_products_consecutive_terms_arithmetic_progression/theorem_1_2 https://erdosproblems.ai/wiki/library/diophantine_problems/bennett_2006_powers_products_consecutive_terms_arithmetic_progression/theorem_1_4 https://erdosproblems.ai/wiki/library/diophantine_problems/bennett_2006_powers_products_consecutive_terms_arithmetic_progression/theorem_1_5 https://erdosproblems.ai/wiki/library/diophantine_problems/bennett_2012_squares_blocks_consecutive_integers_problem_erdos https://erdosproblems.ai/wiki/library/diophantine_problems/bennett_2012_squares_blocks_consecutive_integers_problem_erdos/lemma_2_1 https://erdosproblems.ai/wiki/library/diophantine_problems/bennett_2012_squares_blocks_consecutive_integers_problem_erdos/theorem_1_1 https://erdosproblems.ai/wiki/library/diophantine_problems/bennett_2020_conjecture_erdos_supersingular_primes_short https://erdosproblems.ai/wiki/library/diophantine_problems/bennett_2020_conjecture_erdos_supersingular_primes_short/theorem_2 https://erdosproblems.ai/wiki/library/diophantine_problems/bennett_2024_computing_four_term_arithmetic_progressions_powerful_numbers https://erdosproblems.ai/wiki/library/diophantine_problems/bennett_2024_computing_four_term_arithmetic_progressions_powerful_numbers/evidence https://erdosproblems.ai/wiki/library/diophantine_problems/bennett_2024_computing_four_term_arithmetic_progressions_powerful_numbers/section_4_record_example https://erdosproblems.ai/wiki/library/diophantine_problems/beukers_1999_irreducibility_polynomials_arithmetic_progressions_equal_products https://erdosproblems.ai/wiki/library/diophantine_problems/beukers_1999_irreducibility_polynomials_arithmetic_progressions_equal_products/conjecture_p13 https://erdosproblems.ai/wiki/library/diophantine_problems/beukers_1999_irreducibility_polynomials_arithmetic_progressions_equal_products/theorem_1_1 https://erdosproblems.ai/wiki/library/diophantine_problems/beukers_1999_irreducibility_polynomials_arithmetic_progressions_equal_products/theorem_2_1 https://erdosproblems.ai/wiki/library/diophantine_problems/beukers_1999_irreducibility_polynomials_arithmetic_progressions_equal_products/theorem_2_2 https://erdosproblems.ai/wiki/library/diophantine_problems/beyer_de_ryke_2026_density_deficit_cube_full_sums https://erdosproblems.ai/wiki/library/diophantine_problems/blomer_2006_estimates_representation_numbers_quadratic_forms https://erdosproblems.ai/wiki/library/diophantine_problems/blomer_2006_estimates_representation_numbers_quadratic_forms/corollary_1 https://erdosproblems.ai/wiki/library/diophantine_problems/blomer_2006_estimates_representation_numbers_quadratic_forms/corollary_2 https://erdosproblems.ai/wiki/library/diophantine_problems/blomer_2006_estimates_representation_numbers_quadratic_forms/theorem_1 https://erdosproblems.ai/wiki/library/diophantine_problems/blomer_2006_estimates_representation_numbers_quadratic_forms/theorem_2 https://erdosproblems.ai/wiki/library/diophantine_problems/blomer_2006_estimates_representation_numbers_quadratic_forms/theorem_3 https://erdosproblems.ai/wiki/library/diophantine_problems/blomer_2006_estimates_representation_numbers_quadratic_forms/theorem_4 https://erdosproblems.ai/wiki/library/diophantine_problems/blomer_2006_estimates_representation_numbers_quadratic_forms/theorem_5 https://erdosproblems.ai/wiki/library/diophantine_problems/blomer_2006_estimates_representation_numbers_quadratic_forms/theorem_6 https://erdosproblems.ai/wiki/library/diophantine_problems/borwein_1990_questions_erdos_graham_numbers_form_sum_g_n_2_g_n https://erdosproblems.ai/wiki/library/diophantine_problems/borwein_1990_questions_erdos_graham_numbers_form_sum_g_n_2_g_n/algorithm_1 https://erdosproblems.ai/wiki/library/diophantine_problems/borwein_1990_questions_erdos_graham_numbers_form_sum_g_n_2_g_n/conjecture_1 https://erdosproblems.ai/wiki/library/diophantine_problems/borwein_1990_questions_erdos_graham_numbers_form_sum_g_n_2_g_n/corollary_1 https://erdosproblems.ai/wiki/library/diophantine_problems/borwein_1990_questions_erdos_graham_numbers_form_sum_g_n_2_g_n/corollary_2 https://erdosproblems.ai/wiki/library/diophantine_problems/borwein_1990_questions_erdos_graham_numbers_form_sum_g_n_2_g_n/proposition_1 https://erdosproblems.ai/wiki/library/diophantine_problems/borwein_1990_questions_erdos_graham_numbers_form_sum_g_n_2_g_n/proposition_3 https://erdosproblems.ai/wiki/library/diophantine_problems/borwein_1990_questions_erdos_graham_numbers_form_sum_g_n_2_g_n/proposition_5 https://erdosproblems.ai/wiki/library/diophantine_problems/borwein_1990_questions_erdos_graham_numbers_form_sum_g_n_2_g_n/proposition_6 https://erdosproblems.ai/wiki/library/diophantine_problems/borwein_1990_questions_erdos_graham_numbers_form_sum_g_n_2_g_n/proposition_8 https://erdosproblems.ai/wiki/library/diophantine_problems/browning_2013_incomplete_kloosterman_sums https://erdosproblems.ai/wiki/library/diophantine_problems/browning_2013_incomplete_kloosterman_sums/corollary https://erdosproblems.ai/wiki/library/diophantine_problems/browning_2013_incomplete_kloosterman_sums/theorem_1 https://erdosproblems.ai/wiki/library/diophantine_problems/browning_2013_incomplete_kloosterman_sums/theorem_2 https://erdosproblems.ai/wiki/library/diophantine_problems/browning_heath_brown_2018_counting_rational_points_quadric_surfaces https://erdosproblems.ai/wiki/library/diophantine_problems/browning_munshi_wang_2026_beyond_square_root_barrier_cubic_forms_perazzo_type https://erdosproblems.ai/wiki/library/diophantine_problems/browning_verzobio_2026_sums_three_powerful_numbers https://erdosproblems.ai/wiki/library/diophantine_problems/bui_2024_problem_erdos_graham_granville_selfridge_integral https://erdosproblems.ai/wiki/library/diophantine_problems/bui_2024_problem_erdos_graham_granville_selfridge_integral/conjecture_1 https://erdosproblems.ai/wiki/library/diophantine_problems/bui_2024_problem_erdos_graham_granville_selfridge_integral/theorem_1_1 https://erdosproblems.ai/wiki/library/diophantine_problems/bui_2024_problem_erdos_graham_granville_selfridge_integral/theorem_1_2 https://erdosproblems.ai/wiki/library/diophantine_problems/bui_2024_problem_erdos_graham_granville_selfridge_integral/theorem_1_3 https://erdosproblems.ai/wiki/library/diophantine_problems/bui_2024_problem_erdos_graham_granville_selfridge_integral/theorem_1_4 https://erdosproblems.ai/wiki/library/diophantine_problems/bui_2024_problem_erdos_graham_granville_selfridge_integral/theorem_3_1 https://erdosproblems.ai/wiki/library/diophantine_problems/burr_1996_complete_sequences_sets_integer_powers https://erdosproblems.ai/wiki/library/diophantine_problems/chan_2025_note_three_consecutive_powerful_numbers https://erdosproblems.ai/wiki/library/diophantine_problems/cilleruelo_2007_lattice_points_circles_squares_arithmetic_progressions https://erdosproblems.ai/wiki/library/diophantine_problems/cilleruelo_2007_lattice_points_circles_squares_arithmetic_progressions/conjecture_13 https://erdosproblems.ai/wiki/library/diophantine_problems/cilleruelo_2007_lattice_points_circles_squares_arithmetic_progressions/conjecture_6 https://erdosproblems.ai/wiki/library/diophantine_problems/cilleruelo_2007_lattice_points_circles_squares_arithmetic_progressions/theorem_12 https://erdosproblems.ai/wiki/library/diophantine_problems/cilleruelo_2007_lattice_points_circles_squares_arithmetic_progressions/theorem_13 https://erdosproblems.ai/wiki/library/diophantine_problems/cilleruelo_2007_lattice_points_circles_squares_arithmetic_progressions/theorem_17 https://erdosproblems.ai/wiki/library/diophantine_problems/cilleruelo_2007_lattice_points_circles_squares_arithmetic_progressions/theorem_2 https://erdosproblems.ai/wiki/library/diophantine_problems/cilleruelo_2007_lattice_points_circles_squares_arithmetic_progressions/theorem_3 https://erdosproblems.ai/wiki/library/diophantine_problems/cilleruelo_2007_lattice_points_circles_squares_arithmetic_progressions/theorem_4 https://erdosproblems.ai/wiki/library/diophantine_problems/cohn_1998_conjecture_erdos_3_powerful_numbers https://erdosproblems.ai/wiki/library/diophantine_problems/conjectures_io_2026_erdos_939_lean_r_powerful_sums https://erdosproblems.ai/wiki/library/diophantine_problems/conjectures_io_2026_erdos_939_lean_r_powerful_sums/conjectures_io_2026_erdos_939_lean_r_powerful_sums https://erdosproblems.ai/wiki/library/diophantine_problems/corralesrodriganez_1997_support_problem_elliptic_analogue https://erdosproblems.ai/wiki/library/diophantine_problems/corralesrodriganez_1997_support_problem_elliptic_analogue/theorem_1 https://erdosproblems.ai/wiki/library/diophantine_problems/corralesrodriganez_1997_support_problem_elliptic_analogue/theorem_2 https://erdosproblems.ai/wiki/library/diophantine_problems/corvaja_zannier_2011_abcd_function_fields https://erdosproblems.ai/wiki/library/diophantine_problems/corvaja_zannier_2011_abcd_function_fields/corollary_p441 https://erdosproblems.ai/wiki/library/diophantine_problems/corvaja_zannier_2011_abcd_function_fields/recalled_abc_abcd_bounds https://erdosproblems.ai/wiki/library/diophantine_problems/corvaja_zannier_2011_abcd_function_fields/theorem_1_1 https://erdosproblems.ai/wiki/library/diophantine_problems/corvaja_zannier_2011_abcd_function_fields/theorem_1_1_star https://erdosproblems.ai/wiki/library/diophantine_problems/corvaja_zannier_2011_abcd_function_fields/theorem_1_2 https://erdosproblems.ai/wiki/library/diophantine_problems/corvaja_zannier_2011_abcd_function_fields/theorem_1_2_bis https://erdosproblems.ai/wiki/library/diophantine_problems/corvaja_zannier_2011_abcd_function_fields/theorem_1_3 https://erdosproblems.ai/wiki/library/diophantine_problems/crowdmath_2020_applications_abc_conjecture_powerful_numbers https://erdosproblems.ai/wiki/library/diophantine_problems/cushing_2016_powerful_numbers_abc_conjecture https://erdosproblems.ai/wiki/library/diophantine_problems/cushing_2016_powerful_numbers_abc_conjecture/lemma_4_3 https://erdosproblems.ai/wiki/library/diophantine_problems/cushing_2016_powerful_numbers_abc_conjecture/theorem_4_1 https://erdosproblems.ai/wiki/library/diophantine_problems/cushing_2016_powerful_numbers_abc_conjecture/theorem_5_2 https://erdosproblems.ai/wiki/library/diophantine_problems/dekoninck_2004_sur_la_proximite_des_nombres https://erdosproblems.ai/wiki/library/diophantine_problems/dekoninck_2005_powerful_numbers_short_intervals https://erdosproblems.ai/wiki/library/diophantine_problems/dekoninck_2005_powerful_numbers_short_intervals/theorem_1 https://erdosproblems.ai/wiki/library/diophantine_problems/dekoninck_2005_powerful_numbers_short_intervals/theorem_2 https://erdosproblems.ai/wiki/library/diophantine_problems/dekoninck_2005_powerful_numbers_short_intervals/theorem_3 https://erdosproblems.ai/wiki/library/diophantine_problems/demjanenko_1975_conjecture https://erdosproblems.ai/wiki/library/diophantine_problems/demjanenko_1975_conjecture/lemma_1 https://erdosproblems.ai/wiki/library/diophantine_problems/demjanenko_1975_conjecture/lemma_2 https://erdosproblems.ai/wiki/library/diophantine_problems/demjanenko_1975_conjecture/main_theorem https://erdosproblems.ai/wiki/library/diophantine_problems/doorn_2025_smooth_sums_small_spacings https://erdosproblems.ai/wiki/library/diophantine_problems/doorn_2025_smooth_sums_small_spacings/lemma_1 https://erdosproblems.ai/wiki/library/diophantine_problems/doorn_2025_smooth_sums_small_spacings/theorem https://erdosproblems.ai/wiki/library/diophantine_problems/doorn_2026_three_term_arithmetic_progressions_consecutive_powerful https://erdosproblems.ai/wiki/library/diophantine_problems/doorn_2026_three_term_arithmetic_progressions_consecutive_powerful/conjecture_5 https://erdosproblems.ai/wiki/library/diophantine_problems/doorn_2026_three_term_arithmetic_progressions_consecutive_powerful/conjecture_7 https://erdosproblems.ai/wiki/library/diophantine_problems/doorn_2026_three_term_arithmetic_progressions_consecutive_powerful/corollary_3 https://erdosproblems.ai/wiki/library/diophantine_problems/doorn_2026_three_term_arithmetic_progressions_consecutive_powerful/lemma_2 https://erdosproblems.ai/wiki/library/diophantine_problems/doorn_2026_three_term_arithmetic_progressions_consecutive_powerful/lemma_6 https://erdosproblems.ai/wiki/library/diophantine_problems/doorn_2026_three_term_arithmetic_progressions_consecutive_powerful/theorem_1 https://erdosproblems.ai/wiki/library/diophantine_problems/doorn_2026_three_term_arithmetic_progressions_consecutive_powerful/theorem_4 https://erdosproblems.ai/wiki/library/diophantine_problems/dubickas_2021_no_cubic_integer_polynomial_generates_sidon https://erdosproblems.ai/wiki/library/diophantine_problems/dubickas_2021_no_cubic_integer_polynomial_generates_sidon/lemma_2_1 https://erdosproblems.ai/wiki/library/diophantine_problems/dubickas_2021_no_cubic_integer_polynomial_generates_sidon/theorem_1_1 https://erdosproblems.ai/wiki/library/diophantine_problems/dubickas_2021_no_cubic_integer_polynomial_generates_sidon/theorem_p1860 https://erdosproblems.ai/wiki/library/diophantine_problems/einsiedler_2012_distribution_closed_geodesics_modular_surface_duke https://erdosproblems.ai/wiki/library/diophantine_problems/einsiedler_2012_distribution_closed_geodesics_modular_surface_duke/proposition_3_6 https://erdosproblems.ai/wiki/library/diophantine_problems/einsiedler_2012_distribution_closed_geodesics_modular_surface_duke/proposition_4_3 https://erdosproblems.ai/wiki/library/diophantine_problems/einsiedler_2012_distribution_closed_geodesics_modular_surface_duke/theorem_1_2 https://erdosproblems.ai/wiki/library/diophantine_problems/einsiedler_2012_distribution_closed_geodesics_modular_surface_duke/theorem_1_3 https://erdosproblems.ai/wiki/library/diophantine_problems/einsiedler_2012_distribution_closed_geodesics_modular_surface_duke/theorem_2_3 https://erdosproblems.ai/wiki/library/diophantine_problems/einsiedler_2012_distribution_closed_geodesics_modular_surface_duke/theorem_4_2 https://erdosproblems.ai/wiki/library/diophantine_problems/einsiedler_2012_distribution_closed_geodesics_modular_surface_duke/theorem_5_1 https://erdosproblems.ai/wiki/library/diophantine_problems/erdos_1936_representation_integer_as_sum_th_powers https://erdosproblems.ai/wiki/library/diophantine_problems/erdos_1936_representation_integer_as_sum_th_powers/theorem_p133 https://erdosproblems.ai/wiki/library/diophantine_problems/erdos_1936_representation_integer_as_sum_th_powers/theorem_p136 https://erdosproblems.ai/wiki/library/diophantine_problems/erdos_1937_sum_difference_squares_primes https://erdosproblems.ai/wiki/library/diophantine_problems/erdos_1937_sum_difference_squares_primes/theorem_section_1 https://erdosproblems.ai/wiki/library/diophantine_problems/erdos_1937_sum_difference_squares_primes/theorem_section_2 https://erdosproblems.ai/wiki/library/diophantine_problems/erdos_1953_arithmetical_properties_polynomials https://erdosproblems.ai/wiki/library/diophantine_problems/erdos_1953_arithmetical_properties_polynomials/remarks_p425 https://erdosproblems.ai/wiki/library/diophantine_problems/erdos_1953_arithmetical_properties_polynomials/theorem https://erdosproblems.ai/wiki/library/diophantine_problems/erdos_1972_linear_diophantine_problem_frobenius https://erdosproblems.ai/wiki/library/diophantine_problems/erdos_1975_product_consecutive_integers_is_never_power https://erdosproblems.ai/wiki/library/diophantine_problems/erdos_1975_product_consecutive_integers_is_never_power/conjecture_p292 https://erdosproblems.ai/wiki/library/diophantine_problems/erdos_1975_product_consecutive_integers_is_never_power/remark_p300 https://erdosproblems.ai/wiki/library/diophantine_problems/erdos_1975_product_consecutive_integers_is_never_power/theorem_1 https://erdosproblems.ai/wiki/library/diophantine_problems/erdos_1975_product_consecutive_integers_is_never_power/theorem_2 https://erdosproblems.ai/wiki/library/diophantine_problems/erdos_1976_problems_results_number_theoretic_properties_consecutive https://erdosproblems.ai/wiki/library/diophantine_problems/erdos_1976_problems_results_number_theoretic_properties_consecutive/conjecture_16 https://erdosproblems.ai/wiki/library/diophantine_problems/erdos_1976_problems_results_number_theoretic_properties_consecutive/conjecture_p26 https://erdosproblems.ai/wiki/library/diophantine_problems/erdos_1976_problems_results_number_theoretic_properties_consecutive/inequality_15 https://erdosproblems.ai/wiki/library/diophantine_problems/erdos_1976_problems_results_number_theoretic_properties_consecutive/theorem_1 https://erdosproblems.ai/wiki/library/diophantine_problems/erdos_1976_problems_results_number_theoretic_properties_consecutive/theorem_2 https://erdosproblems.ai/wiki/library/diophantine_problems/erdos_1976_problems_results_number_theoretic_properties_consecutive/theorem_3 https://erdosproblems.ai/wiki/library/diophantine_problems/erdos_1976_products_factorials https://erdosproblems.ai/wiki/library/diophantine_problems/erdos_1976_products_factorials/conjecture_p346 https://erdosproblems.ai/wiki/library/diophantine_problems/erdos_1976_products_factorials/conjecture_p354 https://erdosproblems.ai/wiki/library/diophantine_problems/erdos_1976_products_factorials/fact_1 https://erdosproblems.ai/wiki/library/diophantine_problems/erdos_1976_products_factorials/fact_14 https://erdosproblems.ai/wiki/library/diophantine_problems/erdos_1976_products_factorials/fact_6 https://erdosproblems.ai/wiki/library/diophantine_problems/erdos_1976_products_factorials/fact_7 https://erdosproblems.ai/wiki/library/diophantine_problems/erdos_1976_products_factorials/question_p337 https://erdosproblems.ai/wiki/library/diophantine_problems/erdos_1976_products_factorials/theorem_1 https://erdosproblems.ai/wiki/library/diophantine_problems/erdos_1976_products_factorials/theorem_2 https://erdosproblems.ai/wiki/library/diophantine_problems/erdos_1976_products_factorials/theorem_3 https://erdosproblems.ai/wiki/library/diophantine_problems/erdos_1996_d_complete_sequences_integers https://erdosproblems.ai/wiki/library/diophantine_problems/erdos_2019_number_integers_represented_binary_form https://erdosproblems.ai/wiki/library/diophantine_problems/erdos_2019_number_integers_represented_binary_form/main_theorem https://erdosproblems.ai/wiki/library/diophantine_problems/erdos_2019_number_integers_represented_binary_form/section_4 https://erdosproblems.ai/wiki/library/diophantine_problems/erdos_2019_number_integers_represented_binary_form/theorem_1 https://erdosproblems.ai/wiki/library/diophantine_problems/evertse_schlickewei_schmidt_2002_linear_equations_multiplicative_group https://erdosproblems.ai/wiki/library/diophantine_problems/evertse_schlickewei_schmidt_2002_linear_equations_multiplicative_group/theorem_1_1 https://erdosproblems.ai/wiki/library/diophantine_problems/evertse_schlickewei_schmidt_2002_linear_equations_multiplicative_group/theorem_1_2 https://erdosproblems.ai/wiki/library/diophantine_problems/evertse_schlickewei_schmidt_2002_linear_equations_multiplicative_group/theorem_2_1 https://erdosproblems.ai/wiki/library/diophantine_problems/fang_2017_quantitative_form_erdos_birch_theorem https://erdosproblems.ai/wiki/library/diophantine_problems/ghidelli_2019_arbitrarily_long_gaps_between_values_positive_definite_cubic_biquadratic_diagonal_forms https://erdosproblems.ai/wiki/library/diophantine_problems/ghidelli_2019_arbitrarily_long_gaps_between_values_positive_definite_cubic_biquadratic_diagonal_forms/lemma_5_4 https://erdosproblems.ai/wiki/library/diophantine_problems/ghidelli_2019_arbitrarily_long_gaps_between_values_positive_definite_cubic_biquadratic_diagonal_forms/proposition_5_2 https://erdosproblems.ai/wiki/library/diophantine_problems/ghidelli_2019_arbitrarily_long_gaps_between_values_positive_definite_cubic_biquadratic_diagonal_forms/proposition_8_5 https://erdosproblems.ai/wiki/library/diophantine_problems/ghidelli_2019_arbitrarily_long_gaps_between_values_positive_definite_cubic_biquadratic_diagonal_forms/theorem_1_1 https://erdosproblems.ai/wiki/library/diophantine_problems/ghidelli_2019_arbitrarily_long_gaps_between_values_positive_definite_cubic_biquadratic_diagonal_forms/theorem_1_2 https://erdosproblems.ai/wiki/library/diophantine_problems/ghidelli_2019_arbitrarily_long_gaps_between_values_positive_definite_cubic_biquadratic_diagonal_forms/theorem_6_2 https://erdosproblems.ai/wiki/library/diophantine_problems/ghidelli_2019_arbitrarily_long_gaps_between_values_positive_definite_cubic_biquadratic_diagonal_forms/theorem_8_8 https://erdosproblems.ai/wiki/library/diophantine_problems/gyory_2004_diophantine_equation https://erdosproblems.ai/wiki/library/diophantine_problems/gyory_2004_diophantine_equation/theorem_1 https://erdosproblems.ai/wiki/library/diophantine_problems/gyory_2004_diophantine_equation/theorem_2 https://erdosproblems.ai/wiki/library/diophantine_problems/gyory_2004_diophantine_equation/theorem_3 https://erdosproblems.ai/wiki/library/diophantine_problems/gyory_2004_diophantine_equation/theorem_4 https://erdosproblems.ai/wiki/library/diophantine_problems/gyory_2004_diophantine_equation/theorem_5 https://erdosproblems.ai/wiki/library/diophantine_problems/gyory_2004_diophantine_equation/theorem_6 https://erdosproblems.ai/wiki/library/diophantine_problems/gyory_2004_diophantine_equation/theorem_7 https://erdosproblems.ai/wiki/library/diophantine_problems/gyory_2009_perfect_powers_products_consecutive_terms_arithmetic_progression https://erdosproblems.ai/wiki/library/diophantine_problems/gyory_2009_perfect_powers_products_consecutive_terms_arithmetic_progression/corollary_1_1 https://erdosproblems.ai/wiki/library/diophantine_problems/gyory_2009_perfect_powers_products_consecutive_terms_arithmetic_progression/theorem_1_1 https://erdosproblems.ai/wiki/library/diophantine_problems/gyory_2009_perfect_powers_products_consecutive_terms_arithmetic_progression/theorem_1_2 https://erdosproblems.ai/wiki/library/diophantine_problems/gyory_2009_perfect_powers_products_consecutive_terms_arithmetic_progression/theorem_1_3 https://erdosproblems.ai/wiki/library/diophantine_problems/hasler_2024_sums_distinct_powers_3_4 https://erdosproblems.ai/wiki/library/diophantine_problems/hasler_2024_sums_distinct_powers_3_4/lemma_3 https://erdosproblems.ai/wiki/library/diophantine_problems/hasler_2024_sums_distinct_powers_3_4/proposition_5 https://erdosproblems.ai/wiki/library/diophantine_problems/hasler_2024_sums_distinct_powers_3_4/theorem_4 https://erdosproblems.ai/wiki/library/diophantine_problems/heath_brown_1997_density_rational_points_cubic_surfaces https://erdosproblems.ai/wiki/library/diophantine_problems/heath_brown_1997_density_rational_points_cubic_surfaces/corollary_p3 https://erdosproblems.ai/wiki/library/diophantine_problems/heath_brown_1997_density_rational_points_cubic_surfaces/theorem_1 https://erdosproblems.ai/wiki/library/diophantine_problems/heath_brown_1997_density_rational_points_cubic_surfaces/theorem_2 https://erdosproblems.ai/wiki/library/diophantine_problems/heath_brown_1997_density_rational_points_cubic_surfaces/theorem_3 https://erdosproblems.ai/wiki/library/diophantine_problems/heath_brown_2009_sums_differences_three_kth_powers https://erdosproblems.ai/wiki/library/diophantine_problems/heath_brown_2009_sums_differences_three_kth_powers/theorem_1 https://erdosproblems.ai/wiki/library/diophantine_problems/heath_brown_2009_sums_differences_three_kth_powers/theorem_2 https://erdosproblems.ai/wiki/library/diophantine_problems/heath_brown_2009_sums_differences_three_kth_powers/theorem_3 https://erdosproblems.ai/wiki/library/diophantine_problems/heathbrown_2000_arithmetic_applications_kloosterman_sums https://erdosproblems.ai/wiki/library/diophantine_problems/heathbrown_2000_arithmetic_applications_kloosterman_sums/equation_3 https://erdosproblems.ai/wiki/library/diophantine_problems/heathbrown_2000_arithmetic_applications_kloosterman_sums/estimate_p382 https://erdosproblems.ai/wiki/library/diophantine_problems/heathbrown_2000_arithmetic_applications_kloosterman_sums/lemma_p380 https://erdosproblems.ai/wiki/library/diophantine_problems/hegyvari_2025_elementary_question_erdos_graham https://erdosproblems.ai/wiki/library/diophantine_problems/hwang_2024_frobenius_problem_numerical_semigroups_generated_binomial https://erdosproblems.ai/wiki/library/diophantine_problems/hwang_2024_frobenius_problem_numerical_semigroups_generated_binomial/corollary_3_3 https://erdosproblems.ai/wiki/library/diophantine_problems/hwang_2024_frobenius_problem_numerical_semigroups_generated_binomial/corollary_3_7 https://erdosproblems.ai/wiki/library/diophantine_problems/hwang_2024_frobenius_problem_numerical_semigroups_generated_binomial/lemma_2_2 https://erdosproblems.ai/wiki/library/diophantine_problems/hwang_2024_frobenius_problem_numerical_semigroups_generated_binomial/theorem_0_1 https://erdosproblems.ai/wiki/library/diophantine_problems/hwang_2024_frobenius_problem_numerical_semigroups_generated_binomial/theorem_3_2 https://erdosproblems.ai/wiki/library/diophantine_problems/kulkarni_2005_class_diophantine_equations_involving_bernoulli_polynomials https://erdosproblems.ai/wiki/library/diophantine_problems/kulkarni_2005_class_diophantine_equations_involving_bernoulli_polynomials/theorem_1 https://erdosproblems.ai/wiki/library/diophantine_problems/kulkarni_2005_class_diophantine_equations_involving_bernoulli_polynomials/theorem_2 https://erdosproblems.ai/wiki/library/diophantine_problems/kulkarni_2005_class_diophantine_equations_involving_bernoulli_polynomials/theorem_c https://erdosproblems.ai/wiki/library/diophantine_problems/lagarias_2009_ternary_expansions_powers_2 https://erdosproblems.ai/wiki/library/diophantine_problems/lagarias_2009_ternary_expansions_powers_2/theorem_1_1 https://erdosproblems.ai/wiki/library/diophantine_problems/lagarias_2009_ternary_expansions_powers_2/theorem_1_2 https://erdosproblems.ai/wiki/library/diophantine_problems/lagarias_2009_ternary_expansions_powers_2/theorem_1_3 https://erdosproblems.ai/wiki/library/diophantine_problems/lagarias_2009_ternary_expansions_powers_2/theorem_1_4 https://erdosproblems.ai/wiki/library/diophantine_problems/lagarias_2009_ternary_expansions_powers_2/theorem_1_5 https://erdosproblems.ai/wiki/library/diophantine_problems/lagarias_2009_ternary_expansions_powers_2/theorem_1_6 https://erdosproblems.ai/wiki/library/diophantine_problems/lagarias_2009_ternary_expansions_powers_2/theorem_1_7 https://erdosproblems.ai/wiki/library/diophantine_problems/luca_2001_conjecture_erdos_stewart https://erdosproblems.ai/wiki/library/diophantine_problems/luca_2001_conjecture_erdos_stewart/lemma https://erdosproblems.ai/wiki/library/diophantine_problems/luca_2001_conjecture_erdos_stewart/theorem https://erdosproblems.ai/wiki/library/diophantine_problems/luca_2014_squares_factorials_products_factorials https://erdosproblems.ai/wiki/library/diophantine_problems/luca_2014_squares_factorials_products_factorials/theorem_1 https://erdosproblems.ai/wiki/library/diophantine_problems/luca_2014_squares_factorials_products_factorials/theorem_2 https://erdosproblems.ai/wiki/library/diophantine_problems/luca_2014_squares_factorials_products_factorials/theorem_3 https://erdosproblems.ai/wiki/library/diophantine_problems/luca_2014_squares_factorials_products_factorials/theorem_4 https://erdosproblems.ai/wiki/library/diophantine_problems/mahler_1935_lattice_points_curves_genus_1 https://erdosproblems.ai/wiki/library/diophantine_problems/mahler_1935_lattice_points_curves_genus_1/theorem_1 https://erdosproblems.ai/wiki/library/diophantine_problems/mahler_1935_lattice_points_curves_genus_1/theorem_11 https://erdosproblems.ai/wiki/library/diophantine_problems/mahler_1935_lattice_points_curves_genus_1/theorem_12 https://erdosproblems.ai/wiki/library/diophantine_problems/mahler_1935_lattice_points_curves_genus_1/theorem_5 https://erdosproblems.ai/wiki/library/diophantine_problems/mahler_1935_lattice_points_curves_genus_1/theorem_6 https://erdosproblems.ai/wiki/library/diophantine_problems/mahler_1935_lattice_points_curves_genus_1/theorem_7 https://erdosproblems.ai/wiki/library/diophantine_problems/mahler_1936_note_hypothesis_k_hardy_littlewood https://erdosproblems.ai/wiki/library/diophantine_problems/mahler_1936_note_hypothesis_k_hardy_littlewood/equation_2 https://erdosproblems.ai/wiki/library/diophantine_problems/mahler_1936_note_hypothesis_k_hardy_littlewood/theorem_p138_cubes https://erdosproblems.ai/wiki/library/diophantine_problems/mahler_1936_note_hypothesis_k_hardy_littlewood/theorem_p138_general https://erdosproblems.ai/wiki/library/diophantine_problems/melfi_2004_certain_positive_integer_sequences https://erdosproblems.ai/wiki/library/diophantine_problems/melfi_2004_certain_positive_integer_sequences/conjecture_1 https://erdosproblems.ai/wiki/library/diophantine_problems/melfi_2004_certain_positive_integer_sequences/proposition_1 https://erdosproblems.ai/wiki/library/diophantine_problems/melfi_2004_certain_positive_integer_sequences/theorem_3 https://erdosproblems.ai/wiki/library/diophantine_problems/melfi_2004_certain_positive_integer_sequences/theorem_4 https://erdosproblems.ai/wiki/library/diophantine_problems/narumi_2025_number_k_full_integers_between_three https://erdosproblems.ai/wiki/library/diophantine_problems/narumi_2025_number_k_full_integers_between_three/corollary_1 https://erdosproblems.ai/wiki/library/diophantine_problems/narumi_2025_number_k_full_integers_between_three/corollary_2 https://erdosproblems.ai/wiki/library/diophantine_problems/narumi_2025_number_k_full_integers_between_three/theorem_1 https://erdosproblems.ai/wiki/library/diophantine_problems/narumi_2025_number_k_full_integers_between_three/theorem_2 https://erdosproblems.ai/wiki/library/diophantine_problems/narumi_2025_number_k_full_integers_between_three/theorem_3 https://erdosproblems.ai/wiki/library/diophantine_problems/nitaj_1995_conjecture_erdos_3_powerful_numbers https://erdosproblems.ai/wiki/library/diophantine_problems/odoni_1981_problem_erdos_sums_two_squarefull_numbers https://erdosproblems.ai/wiki/library/diophantine_problems/openai_2026_selmer_converse_elliptic_curves_at_prime https://erdosproblems.ai/wiki/library/diophantine_problems/openai_2026_selmer_converse_elliptic_curves_at_prime/corollary_10_1 https://erdosproblems.ai/wiki/library/diophantine_problems/openai_2026_selmer_converse_elliptic_curves_at_prime/theorem_1_1 https://erdosproblems.ai/wiki/library/diophantine_problems/openai_2026_squarefree_values_quartics_power_free_values_polynomials https://erdosproblems.ai/wiki/library/diophantine_problems/openai_2026_squarefree_values_quartics_power_free_values_polynomials/corollary_1_2 https://erdosproblems.ai/wiki/library/diophantine_problems/openai_2026_squarefree_values_quartics_power_free_values_polynomials/theorem_1_1 https://erdosproblems.ai/wiki/library/diophantine_problems/pandey_2024_squarefree_numbers_short_intervals https://erdosproblems.ai/wiki/library/diophantine_problems/pandey_2024_squarefree_numbers_short_intervals/theorem_1_1 https://erdosproblems.ai/wiki/library/diophantine_problems/pipeline_math_2026_tiling_complement https://erdosproblems.ai/wiki/library/diophantine_problems/pipeline_math_2026_tiling_complement/corollary_1_5 https://erdosproblems.ai/wiki/library/diophantine_problems/pipeline_math_2026_tiling_complement/evidence https://erdosproblems.ai/wiki/library/diophantine_problems/pipeline_math_2026_tiling_complement/evidence/verify https://erdosproblems.ai/wiki/library/diophantine_problems/pipeline_math_2026_tiling_complement/evidence/verify/compilation_grade https://erdosproblems.ai/wiki/library/diophantine_problems/pipeline_math_2026_tiling_complement/evidence/verify/compilation_review https://erdosproblems.ai/wiki/library/diophantine_problems/pipeline_math_2026_tiling_complement/evidence/verify/source_coverage https://erdosproblems.ai/wiki/library/diophantine_problems/pipeline_math_2026_tiling_complement/lemma_1_4 https://erdosproblems.ai/wiki/library/diophantine_problems/pipeline_math_2026_tiling_complement/lemma_1_7 https://erdosproblems.ai/wiki/library/diophantine_problems/pipeline_math_2026_tiling_complement/proposition_1_6 https://erdosproblems.ai/wiki/library/diophantine_problems/pipeline_math_2026_tiling_complement/proposition_1_8 https://erdosproblems.ai/wiki/library/diophantine_problems/pipeline_math_2026_tiling_complement/theorem_1_1 https://erdosproblems.ai/wiki/library/diophantine_problems/price_2026_infinite_r_powerful_sums https://erdosproblems.ai/wiki/library/diophantine_problems/price_2026_infinite_r_powerful_sums/theorem https://erdosproblems.ai/wiki/library/diophantine_problems/salberger_2023_counting_rational_points_projective_varieties https://erdosproblems.ai/wiki/library/diophantine_problems/salberger_2023_counting_rational_points_projective_varieties/corollary_0_7 https://erdosproblems.ai/wiki/library/diophantine_problems/salberger_2023_counting_rational_points_projective_varieties/corollary_6_5 https://erdosproblems.ai/wiki/library/diophantine_problems/salberger_2023_counting_rational_points_projective_varieties/theorem_0_1 https://erdosproblems.ai/wiki/library/diophantine_problems/salberger_2023_counting_rational_points_projective_varieties/theorem_0_12 https://erdosproblems.ai/wiki/library/diophantine_problems/salberger_2023_counting_rational_points_projective_varieties/theorem_0_13 https://erdosproblems.ai/wiki/library/diophantine_problems/salberger_2023_counting_rational_points_projective_varieties/theorem_0_3 https://erdosproblems.ai/wiki/library/diophantine_problems/salberger_2023_counting_rational_points_projective_varieties/theorem_0_4 https://erdosproblems.ai/wiki/library/diophantine_problems/salberger_2023_counting_rational_points_projective_varieties/theorem_0_5 https://erdosproblems.ai/wiki/library/diophantine_problems/salberger_2023_counting_rational_points_projective_varieties/theorem_0_6 https://erdosproblems.ai/wiki/library/diophantine_problems/salberger_2023_counting_rational_points_projective_varieties/theorem_0_8 https://erdosproblems.ai/wiki/library/diophantine_problems/salberger_2023_counting_rational_points_projective_varieties/theorem_0_9 https://erdosproblems.ai/wiki/library/diophantine_problems/salberger_2023_counting_rational_points_projective_varieties/theorem_1_2 https://erdosproblems.ai/wiki/library/diophantine_problems/salberger_2023_counting_rational_points_projective_varieties/theorem_9_4 https://erdosproblems.ai/wiki/library/diophantine_problems/saye_2022_two_conjectures_concerning_ternary_digits_powers https://erdosproblems.ai/wiki/library/diophantine_problems/saye_2022_two_conjectures_concerning_ternary_digits_powers/lemma_1 https://erdosproblems.ai/wiki/library/diophantine_problems/saye_2022_two_conjectures_concerning_ternary_digits_powers/main_theorem https://erdosproblems.ai/wiki/library/diophantine_problems/she_2025_nonexistence_consecutive_powerful_triplets_around_cubes https://erdosproblems.ai/wiki/library/diophantine_problems/stewart_2008_cubic_thue_equations_many_solutions https://erdosproblems.ai/wiki/library/diophantine_problems/stewart_2008_cubic_thue_equations_many_solutions/theorem_1_1 https://erdosproblems.ai/wiki/library/diophantine_problems/stewart_2008_cubic_thue_equations_many_solutions/theorem_4_1 https://erdosproblems.ai/wiki/library/diophantine_problems/tao_2026_products_consecutive_integers_unusual_anatomy https://erdosproblems.ai/wiki/library/diophantine_problems/tao_2026_products_consecutive_integers_unusual_anatomy/lemma_2_10 https://erdosproblems.ai/wiki/library/diophantine_problems/tao_2026_products_consecutive_integers_unusual_anatomy/lemma_6_1 https://erdosproblems.ai/wiki/library/diophantine_problems/tao_2026_products_consecutive_integers_unusual_anatomy/theorem_1_10 https://erdosproblems.ai/wiki/library/diophantine_problems/tao_2026_products_consecutive_integers_unusual_anatomy/theorem_1_7 https://erdosproblems.ai/wiki/library/diophantine_problems/tao_2026_products_consecutive_integers_unusual_anatomy/theorem_1_8 https://erdosproblems.ai/wiki/library/diophantine_problems/tao_2026_products_consecutive_integers_unusual_anatomy/theorem_1_9 https://erdosproblems.ai/wiki/library/diophantine_problems/tengely_2020_diophantine_equation_erdos_graham https://erdosproblems.ai/wiki/library/diophantine_problems/tengely_2020_diophantine_equation_erdos_graham/conjecture_3_7 https://erdosproblems.ai/wiki/library/diophantine_problems/tengely_2020_diophantine_equation_erdos_graham/corollary_2_9 https://erdosproblems.ai/wiki/library/diophantine_problems/tengely_2020_diophantine_equation_erdos_graham/corollary_3_6 https://erdosproblems.ai/wiki/library/diophantine_problems/tengely_2020_diophantine_equation_erdos_graham/proposition_3_1 https://erdosproblems.ai/wiki/library/diophantine_problems/tengely_2020_diophantine_equation_erdos_graham/theorem_2_1 https://erdosproblems.ai/wiki/library/diophantine_problems/tengely_2020_diophantine_equation_erdos_graham/theorem_2_5 https://erdosproblems.ai/wiki/library/diophantine_problems/tengely_2020_diophantine_equation_erdos_graham/theorem_2_8 https://erdosproblems.ai/wiki/library/diophantine_problems/tengely_2020_diophantine_equation_erdos_graham/theorem_3_5 https://erdosproblems.ai/wiki/library/diophantine_problems/tijdeman_1988_sums_products_powers_given_prime_numbers https://erdosproblems.ai/wiki/library/diophantine_problems/tijdeman_1988_sums_products_powers_given_prime_numbers/lemma_4 https://erdosproblems.ai/wiki/library/diophantine_problems/tijdeman_1988_sums_products_powers_given_prime_numbers/theorem_1 https://erdosproblems.ai/wiki/library/diophantine_problems/tijdeman_1988_sums_products_powers_given_prime_numbers/theorem_2 https://erdosproblems.ai/wiki/library/diophantine_problems/tijdeman_1988_sums_products_powers_given_prime_numbers/theorem_3 https://erdosproblems.ai/wiki/library/diophantine_problems/tijdeman_1988_sums_products_powers_given_prime_numbers/theorem_4 https://erdosproblems.ai/wiki/library/diophantine_problems/tijdeman_1988_sums_products_powers_given_prime_numbers/theorem_5 https://erdosproblems.ai/wiki/library/diophantine_problems/tijdeman_1988_sums_products_powers_given_prime_numbers/theorem_6 https://erdosproblems.ai/wiki/library/diophantine_problems/uchiyama_1984_diophantine_equation https://erdosproblems.ai/wiki/library/diophantine_problems/uchiyama_1984_diophantine_equation/theorem_3 https://erdosproblems.ai/wiki/library/diophantine_problems/uchiyama_1984_diophantine_equation/theorem_4 https://erdosproblems.ai/wiki/library/diophantine_problems/uchiyama_1984_diophantine_equation/theorem_5 https://erdosproblems.ai/wiki/library/diophantine_problems/walker_1976_consecutive_integer_pairs_powerful_numbers_related https://erdosproblems.ai/wiki/library/diophantine_problems/walker_1976_consecutive_integer_pairs_powerful_numbers_related/example_p116 https://erdosproblems.ai/wiki/library/diophantine_problems/walker_1976_consecutive_integer_pairs_powerful_numbers_related/theorem_2_2 https://erdosproblems.ai/wiki/library/diophantine_problems/walker_1976_consecutive_integer_pairs_powerful_numbers_related/theorem_2_5 https://erdosproblems.ai/wiki/library/diophantine_problems/walker_1976_consecutive_integer_pairs_powerful_numbers_related/theorem_3_2 https://erdosproblems.ai/wiki/library/diophantine_problems/walker_1976_consecutive_integer_pairs_powerful_numbers_related/theorem_3_5 https://erdosproblems.ai/wiki/library/diophantine_problems/walsh_2024_question_erdos_powerful_numbers_elliptic_curve https://erdosproblems.ai/wiki/library/diophantine_problems/wang_2021_sums_cubes_ratios_conjectures https://erdosproblems.ai/wiki/library/diophantine_problems/wang_2021_sums_cubes_ratios_conjectures/corollary_1_7 https://erdosproblems.ai/wiki/library/diophantine_problems/wang_2021_sums_cubes_ratios_conjectures/theorem_1_3 https://erdosproblems.ai/wiki/library/diophantine_problems/wang_2021_sums_cubes_ratios_conjectures/theorem_1_6 https://erdosproblems.ai/wiki/library/diophantine_problems/wang_2021_sums_cubes_ratios_conjectures/theorem_1_9 https://erdosproblems.ai/wiki/library/diophantine_problems/wooley_2015_sums_three_cubes_ii https://erdosproblems.ai/wiki/library/diophantine_problems/wooley_2015_sums_three_cubes_ii/theorem_1_1 https://erdosproblems.ai/wiki/library/diophantine_problems/wooley_2015_sums_three_cubes_ii/theorem_1_2 https://erdosproblems.ai/wiki/library/diophantine_problems/wooley_2015_sums_three_cubes_ii/theorem_1_3 https://erdosproblems.ai/wiki/library/discrepancy https://erdosproblems.ai/wiki/library/discrepancy/astashkin_2024_random_unconditional_convergence_rademacher_chaos_discrepancy https://erdosproblems.ai/wiki/library/discrepancy/astashkin_2024_random_unconditional_convergence_rademacher_chaos_discrepancy/theorem_2 https://erdosproblems.ai/wiki/library/discrepancy/astashkin_2024_random_unconditional_convergence_rademacher_chaos_discrepancy/theorem_3 https://erdosproblems.ai/wiki/library/discrepancy/astashkin_2024_random_unconditional_convergence_rademacher_chaos_discrepancy/theorem_4 https://erdosproblems.ai/wiki/library/discrepancy/astashkin_2024_random_unconditional_convergence_rademacher_chaos_discrepancy/theorem_5 https://erdosproblems.ai/wiki/library/discrepancy/astashkin_2024_random_unconditional_convergence_rademacher_chaos_discrepancy/theorem_6 https://erdosproblems.ai/wiki/library/discrepancy/astashkin_2024_random_unconditional_convergence_rademacher_chaos_discrepancy/theorem_7 https://erdosproblems.ai/wiki/library/discrepancy/astashkin_2024_random_unconditional_convergence_rademacher_chaos_discrepancy/theorem_8 https://erdosproblems.ai/wiki/library/discrepancy/champagne_2024_well_distribution_modulo_one_primes https://erdosproblems.ai/wiki/library/discrepancy/champagne_2024_well_distribution_modulo_one_primes/lemma_2_1 https://erdosproblems.ai/wiki/library/discrepancy/champagne_2024_well_distribution_modulo_one_primes/theorem_1_1 https://erdosproblems.ai/wiki/library/discrepancy/conlon_2011_large_almost_monochromatic_subsets_hypergraphs https://erdosproblems.ai/wiki/library/discrepancy/conlon_2011_large_almost_monochromatic_subsets_hypergraphs/theorem_1 https://erdosproblems.ai/wiki/library/discrepancy/conlon_2011_large_almost_monochromatic_subsets_hypergraphs/theorem_2 https://erdosproblems.ai/wiki/library/discrepancy/erdos_1949_uniform_distribution_modulo_1_lacunary_sequences https://erdosproblems.ai/wiki/library/discrepancy/erdos_1949_uniform_distribution_modulo_1_lacunary_sequences/theorem_1 https://erdosproblems.ai/wiki/library/discrepancy/erdos_1949_uniform_distribution_modulo_1_lacunary_sequences/theorem_2 https://erdosproblems.ai/wiki/library/discrepancy/erdos_1949_uniform_distribution_modulo_1_lacunary_sequences/theorem_3 https://erdosproblems.ai/wiki/library/discrepancy/erdos_1949_uniform_distribution_modulo_1_lacunary_sequences/theorem_4 https://erdosproblems.ai/wiki/library/discrepancy/erdos_1949_uniform_distribution_modulo_1_lacunary_sequences/theorem_5 https://erdosproblems.ai/wiki/library/discrepancy/erdos_1963_ramsey_es_van_der_waerden_tetelevel https://erdosproblems.ai/wiki/library/discrepancy/erdos_1963_ramsey_es_van_der_waerden_tetelevel/theorem_i https://erdosproblems.ai/wiki/library/discrepancy/erdos_1963_ramsey_es_van_der_waerden_tetelevel/theorem_ii https://erdosproblems.ai/wiki/library/discrepancy/erdos_1963_ramsey_es_van_der_waerden_tetelevel/theorem_iii https://erdosproblems.ai/wiki/library/discrepancy/erdos_1964_problems_results_diophantine_approximations https://erdosproblems.ai/wiki/library/discrepancy/erdos_1964_problems_results_diophantine_approximations/conjecture_p62 https://erdosproblems.ai/wiki/library/discrepancy/erdos_1971_imbalances_colorations https://erdosproblems.ai/wiki/library/discrepancy/erdos_1971_imbalances_colorations/edge_normalization https://erdosproblems.ai/wiki/library/discrepancy/erdos_1971_imbalances_colorations/theorem_5 https://erdosproblems.ai/wiki/library/discrepancy/kesten_1966_bounded_remainder https://erdosproblems.ai/wiki/library/discrepancy/kesten_1966_bounded_remainder/evidence https://erdosproblems.ai/wiki/library/discrepancy/kesten_1966_bounded_remainder/evidence/verify https://erdosproblems.ai/wiki/library/discrepancy/kesten_1966_bounded_remainder/evidence/verify/anchored_necessity_grade https://erdosproblems.ai/wiki/library/discrepancy/kesten_1966_bounded_remainder/evidence/verify/anchored_necessity_review https://erdosproblems.ai/wiki/library/discrepancy/kesten_1966_bounded_remainder/evidence/verify/anchored_necessity_source_reading https://erdosproblems.ai/wiki/library/discrepancy/kesten_1966_bounded_remainder/theorem_4 https://erdosproblems.ai/wiki/library/discrepancy/khintchine_1923_ein_satz_uber_kettenbruche_mit https://erdosproblems.ai/wiki/library/discrepancy/khintchine_1923_ein_satz_uber_kettenbruche_mit/problem_p303 https://erdosproblems.ai/wiki/library/discrepancy/khintchine_1923_ein_satz_uber_kettenbruche_mit/theorem_1 https://erdosproblems.ai/wiki/library/discrepancy/khintchine_1923_ein_satz_uber_kettenbruche_mit/theorem_2 https://erdosproblems.ai/wiki/library/discrepancy/khintchine_1923_ein_satz_uber_kettenbruche_mit/theorem_3 https://erdosproblems.ai/wiki/library/discrepancy/khintchine_1923_ein_satz_uber_kettenbruche_mit/theorem_p289 https://erdosproblems.ai/wiki/library/discrepancy/khintchine_1923_ein_satz_uber_kettenbruche_mit/theorem_p298 https://erdosproblems.ai/wiki/library/discrepancy/khintchine_1923_ein_satz_uber_kettenbruche_mit/theorem_p302 https://erdosproblems.ai/wiki/library/discrepancy/khintchine_1923_ein_satz_uber_kettenbruche_mit/theorem_p305 https://erdosproblems.ai/wiki/library/discrepancy/marzo_2021_discrepancy_minimal_riesz_energy_points https://erdosproblems.ai/wiki/library/discrepancy/marzo_2021_discrepancy_minimal_riesz_energy_points/theorem_1_1 https://erdosproblems.ai/wiki/library/discrepancy/marzo_2021_discrepancy_minimal_riesz_energy_points/theorem_1_5 https://erdosproblems.ai/wiki/library/discrepancy/openai_2026_euclidean_steinitz_bergstrom_theorem https://erdosproblems.ai/wiki/library/discrepancy/openai_2026_euclidean_steinitz_bergstrom_theorem/theorem_1_1 https://erdosproblems.ai/wiki/library/discrepancy/openai_2026_euclidean_steinitz_bergstrom_theorem/theorem_1_2 https://erdosproblems.ai/wiki/library/discrepancy/roth_1964_remark_concerning_integer_sequences https://erdosproblems.ai/wiki/library/discrepancy/schmidt_1972_irregularities_distribution https://erdosproblems.ai/wiki/library/discrepancy/schmidt_1972_irregularities_distribution/corollary_p64 https://erdosproblems.ai/wiki/library/discrepancy/schmidt_1972_irregularities_distribution/corollary_p72 https://erdosproblems.ai/wiki/library/discrepancy/schmidt_1972_irregularities_distribution/theorem_p64 https://erdosproblems.ai/wiki/library/discrepancy/tao_2016_erdos_discrepancy_problem https://erdosproblems.ai/wiki/library/discrete_geometry https://erdosproblems.ai/wiki/library/discrete_geometry/ackerman_2008_there_are_not_too_many_magic_configurations https://erdosproblems.ai/wiki/library/discrete_geometry/ackerman_2008_there_are_not_too_many_magic_configurations/theorem_1 https://erdosproblems.ai/wiki/library/discrete_geometry/ackerman_2008_there_are_not_too_many_magic_configurations/theorem_2 https://erdosproblems.ai/wiki/library/discrete_geometry/ackerman_2008_there_are_not_too_many_magic_configurations/theorem_4 https://erdosproblems.ai/wiki/library/discrete_geometry/adiceam_2021_cut_project_quasicrystals_lattices_dense_forests https://erdosproblems.ai/wiki/library/discrete_geometry/adiceam_2021_cut_project_quasicrystals_lattices_dense_forests/proposition_2_1 https://erdosproblems.ai/wiki/library/discrete_geometry/adiceam_2021_cut_project_quasicrystals_lattices_dense_forests/theorem_1_1 https://erdosproblems.ai/wiki/library/discrete_geometry/adiceam_2021_cut_project_quasicrystals_lattices_dense_forests/theorem_1_2 https://erdosproblems.ai/wiki/library/discrete_geometry/adiceam_2021_cut_project_quasicrystals_lattices_dense_forests/theorem_1_3 https://erdosproblems.ai/wiki/library/discrete_geometry/adiceam_2021_cut_project_quasicrystals_lattices_dense_forests/theorem_1_4 https://erdosproblems.ai/wiki/library/discrete_geometry/adiceam_2021_cut_project_quasicrystals_lattices_dense_forests/theorem_5_2 https://erdosproblems.ai/wiki/library/discrete_geometry/aggarwal_2026_computer_aided_discovery_extremal_unit_distance https://erdosproblems.ai/wiki/library/discrete_geometry/aggarwal_2026_computer_aided_discovery_extremal_unit_distance/proposition_3_4 https://erdosproblems.ai/wiki/library/discrete_geometry/aggarwal_2026_computer_aided_discovery_extremal_unit_distance/theorem_1_1 https://erdosproblems.ai/wiki/library/discrete_geometry/aggarwal_2026_computer_aided_discovery_extremal_unit_distance/theorem_2_4 https://erdosproblems.ai/wiki/library/discrete_geometry/aggarwal_2026_computer_aided_discovery_extremal_unit_distance/theorem_2_6 https://erdosproblems.ai/wiki/library/discrete_geometry/aggarwal_2026_computer_aided_discovery_extremal_unit_distance/theorem_2_7 https://erdosproblems.ai/wiki/library/discrete_geometry/aggarwal_2026_computer_aided_discovery_extremal_unit_distance/theorem_2_8 https://erdosproblems.ai/wiki/library/discrete_geometry/aggarwal_2026_computer_aided_discovery_extremal_unit_distance/theorem_3_2 https://erdosproblems.ai/wiki/library/discrete_geometry/aichholzer_2019_triangles_colored_euclidean_plane https://erdosproblems.ai/wiki/library/discrete_geometry/aichholzer_2019_triangles_colored_euclidean_plane/corollary_2_4 https://erdosproblems.ai/wiki/library/discrete_geometry/aichholzer_2019_triangles_colored_euclidean_plane/lemma_2_2 https://erdosproblems.ai/wiki/library/discrete_geometry/aichholzer_2019_triangles_colored_euclidean_plane/theorem_2_3 https://erdosproblems.ai/wiki/library/discrete_geometry/aichholzer_2019_triangles_colored_euclidean_plane/theorem_2_5 https://erdosproblems.ai/wiki/library/discrete_geometry/aichholzer_2019_triangles_colored_euclidean_plane/theorem_3_1 https://erdosproblems.ai/wiki/library/discrete_geometry/aichholzer_2019_triangles_colored_euclidean_plane/theorem_3_2 https://erdosproblems.ai/wiki/library/discrete_geometry/aichholzer_2019_triangles_colored_euclidean_plane/theorem_3_3 https://erdosproblems.ai/wiki/library/discrete_geometry/alexeev_2026_short_proofs_combinatorics_probability_number_theory https://erdosproblems.ai/wiki/library/discrete_geometry/alexeev_2026_short_proofs_combinatorics_probability_number_theory/theorem_2_1 https://erdosproblems.ai/wiki/library/discrete_geometry/alexeev_2026_short_proofs_combinatorics_probability_number_theory/theorem_3_1 https://erdosproblems.ai/wiki/library/discrete_geometry/alexeev_2026_short_proofs_combinatorics_probability_number_theory/theorem_4_1 https://erdosproblems.ai/wiki/library/discrete_geometry/alexeev_2026_short_proofs_combinatorics_probability_number_theory/theorem_5_1 https://erdosproblems.ai/wiki/library/discrete_geometry/alexeev_2026_short_proofs_combinatorics_probability_number_theory/theorem_6_1 https://erdosproblems.ai/wiki/library/discrete_geometry/alon_1991_economical_coverings_sets_lattice_points https://erdosproblems.ai/wiki/library/discrete_geometry/alon_1991_economical_coverings_sets_lattice_points/lemma_2_1 https://erdosproblems.ai/wiki/library/discrete_geometry/alon_1991_economical_coverings_sets_lattice_points/theorem_1_1 https://erdosproblems.ai/wiki/library/discrete_geometry/alon_2018_uniformly_discrete_forests_poor_visibility https://erdosproblems.ai/wiki/library/discrete_geometry/alon_2018_uniformly_discrete_forests_poor_visibility/theorem_1_1 https://erdosproblems.ai/wiki/library/discrete_geometry/alon_2026_remarks_disproof_unit_distance_conjecture https://erdosproblems.ai/wiki/library/discrete_geometry/alon_2026_remarks_disproof_unit_distance_conjecture/class_tower_construction https://erdosproblems.ai/wiki/library/discrete_geometry/alon_2026_remarks_disproof_unit_distance_conjecture/lemma_2_1_lattice_window https://erdosproblems.ai/wiki/library/discrete_geometry/alon_2026_remarks_disproof_unit_distance_conjecture/lemma_2_2_norm_one_elements https://erdosproblems.ai/wiki/library/discrete_geometry/alon_2026_remarks_disproof_unit_distance_conjecture/proposition_2_3_split_primes https://erdosproblems.ai/wiki/library/discrete_geometry/alon_2026_remarks_disproof_unit_distance_conjecture/theorem_1_1_e90_e92 https://erdosproblems.ai/wiki/library/discrete_geometry/ambrus_2020_density_estimates_1_avoiding_sets_via https://erdosproblems.ai/wiki/library/discrete_geometry/ambrus_2020_density_estimates_1_avoiding_sets_via/theorem_1 https://erdosproblems.ai/wiki/library/discrete_geometry/ambrus_2023_density_planar_sets_avoiding_unit_distances https://erdosproblems.ai/wiki/library/discrete_geometry/ambrus_2023_density_planar_sets_avoiding_unit_distances/conjecture_p10 https://erdosproblems.ai/wiki/library/discrete_geometry/ambrus_2023_density_planar_sets_avoiding_unit_distances/corollary_1 https://erdosproblems.ai/wiki/library/discrete_geometry/ambrus_2023_density_planar_sets_avoiding_unit_distances/corollary_2 https://erdosproblems.ai/wiki/library/discrete_geometry/ambrus_2023_density_planar_sets_avoiding_unit_distances/theorem_1 https://erdosproblems.ai/wiki/library/discrete_geometry/anon_2026_integral_points_norm_one_tori_unit_distance_exponent https://erdosproblems.ai/wiki/library/discrete_geometry/anon_2026_integral_points_norm_one_tori_unit_distance_exponent/theorem_1_1 https://erdosproblems.ai/wiki/library/discrete_geometry/arman_2017_equally_spaced_collinear_points_euclidean_ramsey https://erdosproblems.ai/wiki/library/discrete_geometry/arman_2017_equally_spaced_collinear_points_euclidean_ramsey/conjecture_1 https://erdosproblems.ai/wiki/library/discrete_geometry/arman_2017_equally_spaced_collinear_points_euclidean_ramsey/theorem_2_1 https://erdosproblems.ai/wiki/library/discrete_geometry/arman_2018_result_asymmetric_euclidean_ramsey_theory https://erdosproblems.ai/wiki/library/discrete_geometry/arman_2018_result_asymmetric_euclidean_ramsey_theory/theorem_2_1 https://erdosproblems.ai/wiki/library/discrete_geometry/arman_2018_result_asymmetric_euclidean_ramsey_theory/theorem_3_1 https://erdosproblems.ai/wiki/library/discrete_geometry/axenovich_2025_ramsey_problems_graphs_euclidean_spaces_cartesian https://erdosproblems.ai/wiki/library/discrete_geometry/axenovich_2025_ramsey_problems_graphs_euclidean_spaces_cartesian/proposition_1_7 https://erdosproblems.ai/wiki/library/discrete_geometry/axenovich_2025_ramsey_problems_graphs_euclidean_spaces_cartesian/theorem_1_1 https://erdosproblems.ai/wiki/library/discrete_geometry/axenovich_2025_ramsey_problems_graphs_euclidean_spaces_cartesian/theorem_1_10 https://erdosproblems.ai/wiki/library/discrete_geometry/axenovich_2025_ramsey_problems_graphs_euclidean_spaces_cartesian/theorem_1_11 https://erdosproblems.ai/wiki/library/discrete_geometry/axenovich_2025_ramsey_problems_graphs_euclidean_spaces_cartesian/theorem_1_2 https://erdosproblems.ai/wiki/library/discrete_geometry/axenovich_2025_ramsey_problems_graphs_euclidean_spaces_cartesian/theorem_1_4 https://erdosproblems.ai/wiki/library/discrete_geometry/axenovich_2025_ramsey_problems_graphs_euclidean_spaces_cartesian/theorem_1_5 https://erdosproblems.ai/wiki/library/discrete_geometry/axenovich_2025_ramsey_problems_graphs_euclidean_spaces_cartesian/theorem_1_6 https://erdosproblems.ai/wiki/library/discrete_geometry/baek_2024_note_erdos_conjecture_about_square_packing https://erdosproblems.ai/wiki/library/discrete_geometry/baek_2024_note_erdos_conjecture_about_square_packing/theorem_1_1 https://erdosproblems.ai/wiki/library/discrete_geometry/baek_2024_note_erdos_conjecture_about_square_packing/theorem_2_1 https://erdosproblems.ai/wiki/library/discrete_geometry/ball_2009_punctured_combinatorial_nullstellensatze https://erdosproblems.ai/wiki/library/discrete_geometry/ball_2009_punctured_combinatorial_nullstellensatze/corollary_2_2 https://erdosproblems.ai/wiki/library/discrete_geometry/ball_2009_punctured_combinatorial_nullstellensatze/corollary_3_2 https://erdosproblems.ai/wiki/library/discrete_geometry/ball_2009_punctured_combinatorial_nullstellensatze/corollary_4_2 https://erdosproblems.ai/wiki/library/discrete_geometry/ball_2009_punctured_combinatorial_nullstellensatze/corollary_4_3 https://erdosproblems.ai/wiki/library/discrete_geometry/ball_2009_punctured_combinatorial_nullstellensatze/grid_ideal_reduction https://erdosproblems.ai/wiki/library/discrete_geometry/ball_2009_punctured_combinatorial_nullstellensatze/theorem_2_1 https://erdosproblems.ai/wiki/library/discrete_geometry/ball_2009_punctured_combinatorial_nullstellensatze/theorem_3_1 https://erdosproblems.ai/wiki/library/discrete_geometry/ball_2009_punctured_combinatorial_nullstellensatze/theorem_4_1 https://erdosproblems.ai/wiki/library/discrete_geometry/ball_2009_punctured_combinatorial_nullstellensatze/theorem_5_1 https://erdosproblems.ai/wiki/library/discrete_geometry/ball_2009_punctured_combinatorial_nullstellensatze/theorem_5_2 https://erdosproblems.ai/wiki/library/discrete_geometry/ball_2009_punctured_combinatorial_nullstellensatze/theorem_5_3 https://erdosproblems.ai/wiki/library/discrete_geometry/ball_2009_punctured_combinatorial_nullstellensatze/theorem_5_4 https://erdosproblems.ai/wiki/library/discrete_geometry/ball_2009_punctured_combinatorial_nullstellensatze/theorem_5_5 https://erdosproblems.ai/wiki/library/discrete_geometry/ball_2011_erratum_punctured_combinatorial_nullstellensatze https://erdosproblems.ai/wiki/library/discrete_geometry/ball_2011_erratum_punctured_combinatorial_nullstellensatze/corollary_p378 https://erdosproblems.ai/wiki/library/discrete_geometry/ball_2011_erratum_punctured_combinatorial_nullstellensatze/counterexample https://erdosproblems.ai/wiki/library/discrete_geometry/balogh_2018_number_points_general_position_plane https://erdosproblems.ai/wiki/library/discrete_geometry/beeson_2026_solution_erdos_problem_633 https://erdosproblems.ai/wiki/library/discrete_geometry/beeson_2026_solution_erdos_problem_633/corollary_2 https://erdosproblems.ai/wiki/library/discrete_geometry/beeson_2026_solution_erdos_problem_633/lemma_18 https://erdosproblems.ai/wiki/library/discrete_geometry/beeson_2026_solution_erdos_problem_633/lemma_24 https://erdosproblems.ai/wiki/library/discrete_geometry/beeson_2026_solution_erdos_problem_633/proposition_10 https://erdosproblems.ai/wiki/library/discrete_geometry/beeson_2026_solution_erdos_problem_633/proposition_13 https://erdosproblems.ai/wiki/library/discrete_geometry/beeson_2026_solution_erdos_problem_633/proposition_19 https://erdosproblems.ai/wiki/library/discrete_geometry/beeson_2026_solution_erdos_problem_633/proposition_20 https://erdosproblems.ai/wiki/library/discrete_geometry/beeson_2026_solution_erdos_problem_633/proposition_21 https://erdosproblems.ai/wiki/library/discrete_geometry/beeson_2026_solution_erdos_problem_633/proposition_22 https://erdosproblems.ai/wiki/library/discrete_geometry/beeson_2026_solution_erdos_problem_633/proposition_26 https://erdosproblems.ai/wiki/library/discrete_geometry/beeson_2026_solution_erdos_problem_633/proposition_27 https://erdosproblems.ai/wiki/library/discrete_geometry/beeson_2026_solution_erdos_problem_633/proposition_28 https://erdosproblems.ai/wiki/library/discrete_geometry/beeson_2026_solution_erdos_problem_633/proposition_29 https://erdosproblems.ai/wiki/library/discrete_geometry/beeson_2026_solution_erdos_problem_633/proposition_30 https://erdosproblems.ai/wiki/library/discrete_geometry/beeson_2026_solution_erdos_problem_633/proposition_31 https://erdosproblems.ai/wiki/library/discrete_geometry/beeson_2026_solution_erdos_problem_633/proposition_9 https://erdosproblems.ai/wiki/library/discrete_geometry/beeson_2026_solution_erdos_problem_633/theorem_1 https://erdosproblems.ai/wiki/library/discrete_geometry/beeson_2026_solution_erdos_problem_633/theorem_11 https://erdosproblems.ai/wiki/library/discrete_geometry/beeson_2026_solution_erdos_problem_633/theorem_3 https://erdosproblems.ai/wiki/library/discrete_geometry/beeson_2026_solution_erdos_problem_633/theorem_32 https://erdosproblems.ai/wiki/library/discrete_geometry/behague_2025_nearly_all_known_euclidean_ramsey_sets_subsoluble https://erdosproblems.ai/wiki/library/discrete_geometry/behague_2025_nearly_all_known_euclidean_ramsey_sets_subsoluble/definitions https://erdosproblems.ai/wiki/library/discrete_geometry/behague_2025_nearly_all_known_euclidean_ramsey_sets_subsoluble/external_inputs https://erdosproblems.ai/wiki/library/discrete_geometry/behague_2025_nearly_all_known_euclidean_ramsey_sets_subsoluble/lemma_2_1 https://erdosproblems.ai/wiki/library/discrete_geometry/behague_2025_nearly_all_known_euclidean_ramsey_sets_subsoluble/lemma_3_1 https://erdosproblems.ai/wiki/library/discrete_geometry/behague_2025_nearly_all_known_euclidean_ramsey_sets_subsoluble/lemma_4_2 https://erdosproblems.ai/wiki/library/discrete_geometry/behague_2025_nearly_all_known_euclidean_ramsey_sets_subsoluble/open_questions https://erdosproblems.ai/wiki/library/discrete_geometry/behague_2025_nearly_all_known_euclidean_ramsey_sets_subsoluble/regular_polytope_actions https://erdosproblems.ai/wiki/library/discrete_geometry/behague_2025_nearly_all_known_euclidean_ramsey_sets_subsoluble/source_corrections https://erdosproblems.ai/wiki/library/discrete_geometry/behague_2025_nearly_all_known_euclidean_ramsey_sets_subsoluble/theorem_1_5 https://erdosproblems.ai/wiki/library/discrete_geometry/behague_2025_nearly_all_known_euclidean_ramsey_sets_subsoluble/theorem_1_6 https://erdosproblems.ai/wiki/library/discrete_geometry/behague_2025_nearly_all_known_euclidean_ramsey_sets_subsoluble/theorem_4_1 https://erdosproblems.ai/wiki/library/discrete_geometry/behague_2025_nearly_all_known_euclidean_ramsey_sets_subsoluble/theorem_5_1 https://erdosproblems.ai/wiki/library/discrete_geometry/bellitto_2021_density_sets_euclidean_plane_avoiding_distance https://erdosproblems.ai/wiki/library/discrete_geometry/bellitto_2021_density_sets_euclidean_plane_avoiding_distance/lemma_2 https://erdosproblems.ai/wiki/library/discrete_geometry/bellitto_2021_density_sets_euclidean_plane_avoiding_distance/theorem_2 https://erdosproblems.ai/wiki/library/discrete_geometry/berdysheva_2026_duality_delsarte_s_extremal_problem_locally https://erdosproblems.ai/wiki/library/discrete_geometry/bezdek_2016_packing_convex_bodies_cylinders https://erdosproblems.ai/wiki/library/discrete_geometry/bezdek_2016_packing_convex_bodies_cylinders/lemma_6_3 https://erdosproblems.ai/wiki/library/discrete_geometry/bezdek_2016_packing_convex_bodies_cylinders/theorem_3_1 https://erdosproblems.ai/wiki/library/discrete_geometry/bezdek_2016_packing_convex_bodies_cylinders/theorem_4_2 https://erdosproblems.ai/wiki/library/discrete_geometry/bezdek_2016_packing_convex_bodies_cylinders/theorem_4_4 https://erdosproblems.ai/wiki/library/discrete_geometry/bezdek_2016_packing_convex_bodies_cylinders/theorem_4_6 https://erdosproblems.ai/wiki/library/discrete_geometry/bezdek_2016_packing_convex_bodies_cylinders/theorem_4_8 https://erdosproblems.ai/wiki/library/discrete_geometry/bezdek_2016_packing_convex_bodies_cylinders/theorem_5_1 https://erdosproblems.ai/wiki/library/discrete_geometry/bezdek_2016_packing_convex_bodies_cylinders/theorem_6_1 https://erdosproblems.ai/wiki/library/discrete_geometry/bialostocki_2006_minimum_sets_forcing_monochromatic_triangles https://erdosproblems.ai/wiki/library/discrete_geometry/bikeev_2025_isomorphisms_unit_distance_graphs_layers https://erdosproblems.ai/wiki/library/discrete_geometry/bikeev_2025_isomorphisms_unit_distance_graphs_layers/theorem_1 https://erdosproblems.ai/wiki/library/discrete_geometry/bikeev_2025_isomorphisms_unit_distance_graphs_layers/theorem_2 https://erdosproblems.ai/wiki/library/discrete_geometry/bikeev_2025_isomorphisms_unit_distance_graphs_layers/theorem_3 https://erdosproblems.ai/wiki/library/discrete_geometry/bishnoi_clark_potukuchi_schmitt_2018_polynomial_zeros_finite_grid https://erdosproblems.ai/wiki/library/discrete_geometry/bishnoi_clark_potukuchi_schmitt_2018_polynomial_zeros_finite_grid/corollary_6_5 https://erdosproblems.ai/wiki/library/discrete_geometry/bishnoi_clark_potukuchi_schmitt_2018_polynomial_zeros_finite_grid/corollary_6_7 https://erdosproblems.ai/wiki/library/discrete_geometry/bishnoi_clark_potukuchi_schmitt_2018_polynomial_zeros_finite_grid/corollary_6_9 https://erdosproblems.ai/wiki/library/discrete_geometry/bishnoi_clark_potukuchi_schmitt_2018_polynomial_zeros_finite_grid/theorem_1_2 https://erdosproblems.ai/wiki/library/discrete_geometry/bishnoi_clark_potukuchi_schmitt_2018_polynomial_zeros_finite_grid/theorem_4_6 https://erdosproblems.ai/wiki/library/discrete_geometry/bishnoi_clark_potukuchi_schmitt_2018_polynomial_zeros_finite_grid/theorem_5_2 https://erdosproblems.ai/wiki/library/discrete_geometry/bishnoi_clark_potukuchi_schmitt_2018_polynomial_zeros_finite_grid/theorem_6_1 https://erdosproblems.ai/wiki/library/discrete_geometry/bishnoi_clark_potukuchi_schmitt_2018_polynomial_zeros_finite_grid/theorem_6_2 https://erdosproblems.ai/wiki/library/discrete_geometry/bishnoi_clark_potukuchi_schmitt_2018_polynomial_zeros_finite_grid/theorem_6_4 https://erdosproblems.ai/wiki/library/discrete_geometry/bishnoi_clark_potukuchi_schmitt_2018_polynomial_zeros_finite_grid/theorem_6_6 https://erdosproblems.ai/wiki/library/discrete_geometry/bishnoi_clark_potukuchi_schmitt_2018_polynomial_zeros_finite_grid/theorem_6_8 https://erdosproblems.ai/wiki/library/discrete_geometry/bishnoi_clark_potukuchi_schmitt_2018_polynomial_zeros_finite_grid/theorem_7_9 https://erdosproblems.ai/wiki/library/discrete_geometry/burr_1974_orchard_problem https://erdosproblems.ai/wiki/library/discrete_geometry/burr_1974_orchard_problem/remark_4 https://erdosproblems.ai/wiki/library/discrete_geometry/burr_1974_orchard_problem/theorem_1 https://erdosproblems.ai/wiki/library/discrete_geometry/burr_1974_orchard_problem/theorem_10 https://erdosproblems.ai/wiki/library/discrete_geometry/burr_1974_orchard_problem/theorem_2 https://erdosproblems.ai/wiki/library/discrete_geometry/burr_1974_orchard_problem/theorem_3 https://erdosproblems.ai/wiki/library/discrete_geometry/burr_1974_orchard_problem/theorem_4 https://erdosproblems.ai/wiki/library/discrete_geometry/burr_1974_orchard_problem/theorem_5 https://erdosproblems.ai/wiki/library/discrete_geometry/burr_1974_orchard_problem/theorem_6 https://erdosproblems.ai/wiki/library/discrete_geometry/burr_1974_orchard_problem/theorem_7 https://erdosproblems.ai/wiki/library/discrete_geometry/burr_1974_orchard_problem/theorem_8 https://erdosproblems.ai/wiki/library/discrete_geometry/burr_1974_orchard_problem/theorem_9 https://erdosproblems.ai/wiki/library/discrete_geometry/cambie_kalviainen_2026_small_step_walk https://erdosproblems.ai/wiki/library/discrete_geometry/cambie_kalviainen_2026_small_step_walk/evidence https://erdosproblems.ai/wiki/library/discrete_geometry/cambie_kalviainen_2026_small_step_walk/evidence/verify https://erdosproblems.ai/wiki/library/discrete_geometry/cambie_kalviainen_2026_small_step_walk/evidence/verify/source_proof_review https://erdosproblems.ai/wiki/library/discrete_geometry/cambie_kalviainen_2026_small_step_walk/theorem_1 https://erdosproblems.ai/wiki/library/discrete_geometry/clemen_2025_number_regular_simplices_higher_dimensions https://erdosproblems.ai/wiki/library/discrete_geometry/clemen_2025_number_regular_simplices_higher_dimensions/corollary_6 https://erdosproblems.ai/wiki/library/discrete_geometry/clemen_2025_number_regular_simplices_higher_dimensions/proposition_25 https://erdosproblems.ai/wiki/library/discrete_geometry/clemen_2025_number_regular_simplices_higher_dimensions/theorem_2 https://erdosproblems.ai/wiki/library/discrete_geometry/clemen_2025_number_regular_simplices_higher_dimensions/theorem_3 https://erdosproblems.ai/wiki/library/discrete_geometry/clemen_2025_number_regular_simplices_higher_dimensions/theorem_5 https://erdosproblems.ai/wiki/library/discrete_geometry/clemen_2025_number_regular_simplices_higher_dimensions/theorem_7 https://erdosproblems.ai/wiki/library/discrete_geometry/clisby_2007_self_avoiding_walk_enumeration_via_lace https://erdosproblems.ai/wiki/library/discrete_geometry/clisby_2007_self_avoiding_walk_enumeration_via_lace/enumeration_results https://erdosproblems.ai/wiki/library/discrete_geometry/clisby_2007_self_avoiding_walk_enumeration_via_lace/equation_1 https://erdosproblems.ai/wiki/library/discrete_geometry/clisby_2007_self_avoiding_walk_enumeration_via_lace/equations_3_4 https://erdosproblems.ai/wiki/library/discrete_geometry/clisby_2007_self_avoiding_walk_enumeration_via_lace/section_7_2 https://erdosproblems.ai/wiki/library/discrete_geometry/clisby_2007_self_avoiding_walk_enumeration_via_lace/theorem_2_1 https://erdosproblems.ai/wiki/library/discrete_geometry/cohen_2023_new_upper_bound_heilbronn_triangle_problem https://erdosproblems.ai/wiki/library/discrete_geometry/cohen_2024_clustering_typical_unit_distance_avoiding_sets https://erdosproblems.ai/wiki/library/discrete_geometry/cohen_2024_clustering_typical_unit_distance_avoiding_sets/theorem_1_3 https://erdosproblems.ai/wiki/library/discrete_geometry/cohen_2024_clustering_typical_unit_distance_avoiding_sets/theorem_1_4 https://erdosproblems.ai/wiki/library/discrete_geometry/cohen_2024_lower_bounds_incidences https://erdosproblems.ai/wiki/library/discrete_geometry/cohen_2024_lower_bounds_incidences/corollary_1_2 https://erdosproblems.ai/wiki/library/discrete_geometry/cohen_2024_lower_bounds_incidences/corollary_1_3 https://erdosproblems.ai/wiki/library/discrete_geometry/cohen_2024_lower_bounds_incidences/theorem_1_1 https://erdosproblems.ai/wiki/library/discrete_geometry/cohen_2024_lower_bounds_incidences/theorem_1_4 https://erdosproblems.ai/wiki/library/discrete_geometry/cohen_2024_lower_bounds_incidences/theorem_1_8 https://erdosproblems.ai/wiki/library/discrete_geometry/cohen_2024_lower_bounds_incidences/theorem_1_9 https://erdosproblems.ai/wiki/library/discrete_geometry/conlon_2019_lines_euclidean_ramsey_theory https://erdosproblems.ai/wiki/library/discrete_geometry/conlon_2019_lines_euclidean_ramsey_theory/constant_bounds https://erdosproblems.ai/wiki/library/discrete_geometry/conlon_2019_lines_euclidean_ramsey_theory/definitions https://erdosproblems.ai/wiki/library/discrete_geometry/conlon_2019_lines_euclidean_ramsey_theory/external_inputs https://erdosproblems.ai/wiki/library/discrete_geometry/conlon_2019_lines_euclidean_ramsey_theory/lemma_2_1 https://erdosproblems.ai/wiki/library/discrete_geometry/conlon_2019_lines_euclidean_ramsey_theory/lemma_2_2 https://erdosproblems.ai/wiki/library/discrete_geometry/conlon_2019_lines_euclidean_ramsey_theory/lemma_2_3 https://erdosproblems.ai/wiki/library/discrete_geometry/conlon_2019_lines_euclidean_ramsey_theory/lemma_2_4 https://erdosproblems.ai/wiki/library/discrete_geometry/conlon_2019_lines_euclidean_ramsey_theory/line_corollary https://erdosproblems.ai/wiki/library/discrete_geometry/conlon_2019_lines_euclidean_ramsey_theory/linear_sign_patterns https://erdosproblems.ai/wiki/library/discrete_geometry/conlon_2019_lines_euclidean_ramsey_theory/monochromatic_configuration_corollary https://erdosproblems.ai/wiki/library/discrete_geometry/conlon_2019_lines_euclidean_ramsey_theory/periodic_construction https://erdosproblems.ai/wiki/library/discrete_geometry/conlon_2019_lines_euclidean_ramsey_theory/theorem_1_2 https://erdosproblems.ai/wiki/library/discrete_geometry/conlon_2019_lines_euclidean_ramsey_theory/theorem_1_3 https://erdosproblems.ai/wiki/library/discrete_geometry/conlon_2019_lines_euclidean_ramsey_theory/theorem_2_5 https://erdosproblems.ai/wiki/library/discrete_geometry/conlon_2019_lines_euclidean_ramsey_theory/theorem_3_1 https://erdosproblems.ai/wiki/library/discrete_geometry/conlon_2019_lines_euclidean_ramsey_theory/theorem_3_2 https://erdosproblems.ai/wiki/library/discrete_geometry/conlon_2019_lines_euclidean_ramsey_theory/unit_sphere_observation https://erdosproblems.ai/wiki/library/discrete_geometry/conlon_2023_more_lines_euclidean_ramsey_theory https://erdosproblems.ai/wiki/library/discrete_geometry/conlon_2023_more_lines_euclidean_ramsey_theory/conjecture_4_2 https://erdosproblems.ai/wiki/library/discrete_geometry/conlon_2023_more_lines_euclidean_ramsey_theory/theorem_1_1 https://erdosproblems.ai/wiki/library/discrete_geometry/conlon_2026_non_spherical_sets_versus_lines_euclidean https://erdosproblems.ai/wiki/library/discrete_geometry/cranston_2015_fractional_chromatic_number_plane https://erdosproblems.ai/wiki/library/discrete_geometry/cranston_2015_fractional_chromatic_number_plane/lemma_1 https://erdosproblems.ai/wiki/library/discrete_geometry/cranston_2015_fractional_chromatic_number_plane/theorem_2 https://erdosproblems.ai/wiki/library/discrete_geometry/csizmadia_1998_independence_number_minimum_distance_graphs https://erdosproblems.ai/wiki/library/discrete_geometry/csizmadia_1998_independence_number_minimum_distance_graphs/lemma_1 https://erdosproblems.ai/wiki/library/discrete_geometry/csizmadia_1998_independence_number_minimum_distance_graphs/remark_p187 https://erdosproblems.ai/wiki/library/discrete_geometry/csizmadia_1998_independence_number_minimum_distance_graphs/theorem_p180 https://erdosproblems.ai/wiki/library/discrete_geometry/currier_2024_any_two_coloring_plane_contains_monochromatic https://erdosproblems.ai/wiki/library/discrete_geometry/currier_2024_any_two_coloring_plane_contains_monochromatic/corollary_1_3 https://erdosproblems.ai/wiki/library/discrete_geometry/currier_2024_any_two_coloring_plane_contains_monochromatic/corollary_1_4 https://erdosproblems.ai/wiki/library/discrete_geometry/currier_2024_any_two_coloring_plane_contains_monochromatic/lemma_2_1 https://erdosproblems.ai/wiki/library/discrete_geometry/currier_2024_any_two_coloring_plane_contains_monochromatic/lemma_2_2 https://erdosproblems.ai/wiki/library/discrete_geometry/currier_2024_any_two_coloring_plane_contains_monochromatic/theorem_1_1 https://erdosproblems.ai/wiki/library/discrete_geometry/currier_2025_more_pointsets_many_rich_lines https://erdosproblems.ai/wiki/library/discrete_geometry/currier_2025_more_pointsets_many_rich_lines/theorem_1_3 https://erdosproblems.ai/wiki/library/discrete_geometry/currier_2026_avoiding_short_progressions_euclidean_ramsey_theory https://erdosproblems.ai/wiki/library/discrete_geometry/currier_2026_avoiding_short_progressions_euclidean_ramsey_theory/proposition_2_4 https://erdosproblems.ai/wiki/library/discrete_geometry/currier_2026_avoiding_short_progressions_euclidean_ramsey_theory/theorem_1_1 https://erdosproblems.ai/wiki/library/discrete_geometry/currier_2026_avoiding_short_progressions_euclidean_ramsey_theory/theorem_1_2 https://erdosproblems.ai/wiki/library/discrete_geometry/currier_2026_avoiding_short_progressions_euclidean_ramsey_theory/theorem_1_3 https://erdosproblems.ai/wiki/library/discrete_geometry/currier_2026_improved_bounds_lines_1_separated_sets https://erdosproblems.ai/wiki/library/discrete_geometry/currier_2026_improved_bounds_lines_1_separated_sets/cell_coloring https://erdosproblems.ai/wiki/library/discrete_geometry/currier_2026_improved_bounds_lines_1_separated_sets/evidence https://erdosproblems.ai/wiki/library/discrete_geometry/currier_2026_improved_bounds_lines_1_separated_sets/lemma_2_1 https://erdosproblems.ai/wiki/library/discrete_geometry/currier_2026_improved_bounds_lines_1_separated_sets/lemma_2_2 https://erdosproblems.ai/wiki/library/discrete_geometry/currier_2026_improved_bounds_lines_1_separated_sets/lemma_2_3 https://erdosproblems.ai/wiki/library/discrete_geometry/currier_2026_improved_bounds_lines_1_separated_sets/lemma_2_6 https://erdosproblems.ai/wiki/library/discrete_geometry/currier_2026_improved_bounds_lines_1_separated_sets/lemma_2_7 https://erdosproblems.ai/wiki/library/discrete_geometry/currier_2026_improved_bounds_lines_1_separated_sets/lemma_3_1 https://erdosproblems.ai/wiki/library/discrete_geometry/currier_2026_improved_bounds_lines_1_separated_sets/lemma_3_2 https://erdosproblems.ai/wiki/library/discrete_geometry/currier_2026_improved_bounds_lines_1_separated_sets/lemma_3_3 https://erdosproblems.ai/wiki/library/discrete_geometry/currier_2026_improved_bounds_lines_1_separated_sets/lemma_3_4 https://erdosproblems.ai/wiki/library/discrete_geometry/currier_2026_improved_bounds_lines_1_separated_sets/lemma_3_5 https://erdosproblems.ai/wiki/library/discrete_geometry/currier_2026_improved_bounds_lines_1_separated_sets/lemma_3_6 https://erdosproblems.ai/wiki/library/discrete_geometry/currier_2026_improved_bounds_lines_1_separated_sets/theorem_1_1 https://erdosproblems.ai/wiki/library/discrete_geometry/currier_2026_improved_bounds_lines_1_separated_sets/theorem_1_2 https://erdosproblems.ai/wiki/library/discrete_geometry/danzer_1962_zwei_probleme_konvexer_korper_erdos_klee https://erdosproblems.ai/wiki/library/discrete_geometry/danzer_1962_zwei_probleme_konvexer_korper_erdos_klee/satz_i https://erdosproblems.ai/wiki/library/discrete_geometry/danzer_1962_zwei_probleme_konvexer_korper_erdos_klee/satz_ii https://erdosproblems.ai/wiki/library/discrete_geometry/decorte_2020_complete_positivity_distance_avoiding_sets https://erdosproblems.ai/wiki/library/discrete_geometry/decorte_2020_complete_positivity_distance_avoiding_sets/table_2 https://erdosproblems.ai/wiki/library/discrete_geometry/decorte_2020_complete_positivity_distance_avoiding_sets/theorem_10_7 https://erdosproblems.ai/wiki/library/discrete_geometry/decorte_2020_complete_positivity_distance_avoiding_sets/theorem_1_1 https://erdosproblems.ai/wiki/library/discrete_geometry/decorte_2020_complete_positivity_distance_avoiding_sets/theorem_5_1 https://erdosproblems.ai/wiki/library/discrete_geometry/decorte_2020_complete_positivity_distance_avoiding_sets/theorem_6_3 https://erdosproblems.ai/wiki/library/discrete_geometry/ducz_2026_unit_distance_graph_plane_independence_ratio https://erdosproblems.ai/wiki/library/discrete_geometry/ducz_2026_unit_distance_graph_plane_independence_ratio/conjecture_1 https://erdosproblems.ai/wiki/library/discrete_geometry/ducz_2026_unit_distance_graph_plane_independence_ratio/corollary_1 https://erdosproblems.ai/wiki/library/discrete_geometry/ducz_2026_unit_distance_graph_plane_independence_ratio/corollary_2 https://erdosproblems.ai/wiki/library/discrete_geometry/ducz_2026_unit_distance_graph_plane_independence_ratio/corollary_3 https://erdosproblems.ai/wiki/library/discrete_geometry/ducz_2026_unit_distance_graph_plane_independence_ratio/lemma_1 https://erdosproblems.ai/wiki/library/discrete_geometry/ducz_2026_unit_distance_graph_plane_independence_ratio/theorem_1 https://erdosproblems.ai/wiki/library/discrete_geometry/duminilcopin_2013_self_avoiding_walk_is_sub_ballistic https://erdosproblems.ai/wiki/library/discrete_geometry/duminilcopin_2013_self_avoiding_walk_is_sub_ballistic/corollary_1_2 https://erdosproblems.ai/wiki/library/discrete_geometry/duminilcopin_2013_self_avoiding_walk_is_sub_ballistic/corollary_1_3 https://erdosproblems.ai/wiki/library/discrete_geometry/duminilcopin_2013_self_avoiding_walk_is_sub_ballistic/theorem_1_1 https://erdosproblems.ai/wiki/library/discrete_geometry/dvoretzky_1956_covering_circle_randomly_placed_arcs https://erdosproblems.ai/wiki/library/discrete_geometry/dvoretzky_1956_covering_circle_randomly_placed_arcs/theorem_1 https://erdosproblems.ai/wiki/library/discrete_geometry/dvoretzky_1956_covering_circle_randomly_placed_arcs/theorem_2 https://erdosproblems.ai/wiki/library/discrete_geometry/eberhard_2012_almost_all_sets_d_2_points_d_1_sphere_are_not_subtransitive https://erdosproblems.ai/wiki/library/discrete_geometry/eberhard_2012_almost_all_sets_d_2_points_d_1_sphere_are_not_subtransitive/theorem_p1 https://erdosproblems.ai/wiki/library/discrete_geometry/emmerich_2026_optimizing_explicit_unit_distance_lower_bound_certificates https://erdosproblems.ai/wiki/library/discrete_geometry/emmerich_2026_optimizing_explicit_unit_distance_lower_bound_certificates/proposition_1 https://erdosproblems.ai/wiki/library/discrete_geometry/emmerich_2026_optimizing_explicit_unit_distance_lower_bound_certificates/proposition_2 https://erdosproblems.ai/wiki/library/discrete_geometry/engel_2025_diverse_beam_search_find_densest_known https://erdosproblems.ai/wiki/library/discrete_geometry/erdos_1935_combinatorial_problem_geometry https://erdosproblems.ai/wiki/library/discrete_geometry/erdos_1935_combinatorial_problem_geometry/equation_3 https://erdosproblems.ai/wiki/library/discrete_geometry/erdos_1960_extremum_problems_elementary_geometry https://erdosproblems.ai/wiki/library/discrete_geometry/erdos_1960_extremum_problems_elementary_geometry/conjecture_p54 https://erdosproblems.ai/wiki/library/discrete_geometry/erdos_1960_extremum_problems_elementary_geometry/construction_section_2 https://erdosproblems.ai/wiki/library/discrete_geometry/erdos_1960_extremum_problems_elementary_geometry/theorem_1 https://erdosproblems.ai/wiki/library/discrete_geometry/erdos_1960_extremum_problems_elementary_geometry/theorem_2 https://erdosproblems.ai/wiki/library/discrete_geometry/erdos_1960_extremum_problems_elementary_geometry/theorem_3 https://erdosproblems.ai/wiki/library/discrete_geometry/erdos_1960_extremum_problems_elementary_geometry/values_p54 https://erdosproblems.ai/wiki/library/discrete_geometry/erdos_1973_euclidean_ramsey_theorems https://erdosproblems.ai/wiki/library/discrete_geometry/erdos_1973_euclidean_ramsey_theorems/brick_corollaries https://erdosproblems.ai/wiki/library/discrete_geometry/erdos_1973_euclidean_ramsey_theorems/compactness https://erdosproblems.ai/wiki/library/discrete_geometry/erdos_1973_euclidean_ramsey_theorems/conjecture_p347 https://erdosproblems.ai/wiki/library/discrete_geometry/erdos_1973_euclidean_ramsey_theorems/corollary_10 https://erdosproblems.ai/wiki/library/discrete_geometry/erdos_1973_euclidean_ramsey_theorems/corollary_18 https://erdosproblems.ai/wiki/library/discrete_geometry/erdos_1973_euclidean_ramsey_theorems/corollary_19 https://erdosproblems.ai/wiki/library/discrete_geometry/erdos_1973_euclidean_ramsey_theorems/definitions https://erdosproblems.ai/wiki/library/discrete_geometry/erdos_1973_euclidean_ramsey_theorems/external_inputs https://erdosproblems.ai/wiki/library/discrete_geometry/erdos_1973_euclidean_ramsey_theorems/finite_sphere_obstruction https://erdosproblems.ai/wiki/library/discrete_geometry/erdos_1973_euclidean_ramsey_theorems/historical_questions https://erdosproblems.ai/wiki/library/discrete_geometry/erdos_1973_euclidean_ramsey_theorems/lemma_14 https://erdosproblems.ai/wiki/library/discrete_geometry/erdos_1973_euclidean_ramsey_theorems/lemma_15 https://erdosproblems.ai/wiki/library/discrete_geometry/erdos_1973_euclidean_ramsey_theorems/lemma_26 https://erdosproblems.ai/wiki/library/discrete_geometry/erdos_1973_euclidean_ramsey_theorems/lemma_27 https://erdosproblems.ai/wiki/library/discrete_geometry/erdos_1973_euclidean_ramsey_theorems/nonobtuse_five_point_obstruction https://erdosproblems.ai/wiki/library/discrete_geometry/erdos_1973_euclidean_ramsey_theorems/theorem_11 https://erdosproblems.ai/wiki/library/discrete_geometry/erdos_1973_euclidean_ramsey_theorems/theorem_12 https://erdosproblems.ai/wiki/library/discrete_geometry/erdos_1973_euclidean_ramsey_theorems/theorem_13 https://erdosproblems.ai/wiki/library/discrete_geometry/erdos_1973_euclidean_ramsey_theorems/theorem_16 https://erdosproblems.ai/wiki/library/discrete_geometry/erdos_1973_euclidean_ramsey_theorems/theorem_17 https://erdosproblems.ai/wiki/library/discrete_geometry/erdos_1973_euclidean_ramsey_theorems/theorem_20 https://erdosproblems.ai/wiki/library/discrete_geometry/erdos_1973_euclidean_ramsey_theorems/theorem_23 https://erdosproblems.ai/wiki/library/discrete_geometry/erdos_1973_euclidean_ramsey_theorems/theorem_24 https://erdosproblems.ai/wiki/library/discrete_geometry/erdos_1973_euclidean_ramsey_theorems/theorem_25 https://erdosproblems.ai/wiki/library/discrete_geometry/erdos_1973_euclidean_ramsey_theorems/theorem_28 https://erdosproblems.ai/wiki/library/discrete_geometry/erdos_1973_euclidean_ramsey_theorems/theorem_5 https://erdosproblems.ai/wiki/library/discrete_geometry/erdos_1973_euclidean_ramsey_theorems/theorem_6 https://erdosproblems.ai/wiki/library/discrete_geometry/erdos_1973_euclidean_ramsey_theorems/theorem_7 https://erdosproblems.ai/wiki/library/discrete_geometry/erdos_1973_euclidean_ramsey_theorems/theorem_8 https://erdosproblems.ai/wiki/library/discrete_geometry/erdos_1973_euclidean_ramsey_theorems/theorem_9 https://erdosproblems.ai/wiki/library/discrete_geometry/erdos_1975_euclidean_ramsey_theorems_ii https://erdosproblems.ai/wiki/library/discrete_geometry/erdos_1975_euclidean_ramsey_theorems_ii/chromatic_translation_bridge https://erdosproblems.ai/wiki/library/discrete_geometry/erdos_1975_euclidean_ramsey_theorems_ii/corollary_6 https://erdosproblems.ai/wiki/library/discrete_geometry/erdos_1975_euclidean_ramsey_theorems_ii/definitions https://erdosproblems.ai/wiki/library/discrete_geometry/erdos_1975_euclidean_ramsey_theorems_ii/external_inputs https://erdosproblems.ai/wiki/library/discrete_geometry/erdos_1975_euclidean_ramsey_theorems_ii/grid_counterexample https://erdosproblems.ai/wiki/library/discrete_geometry/erdos_1975_euclidean_ramsey_theorems_ii/later_source_inventory https://erdosproblems.ai/wiki/library/discrete_geometry/erdos_1975_euclidean_ramsey_theorems_ii/lattice_three_term_density https://erdosproblems.ai/wiki/library/discrete_geometry/erdos_1975_euclidean_ramsey_theorems_ii/product_grid_lemma https://erdosproblems.ai/wiki/library/discrete_geometry/erdos_1975_euclidean_ramsey_theorems_ii/seven_point_spindle https://erdosproblems.ai/wiki/library/discrete_geometry/erdos_1975_euclidean_ramsey_theorems_ii/theorem_1 https://erdosproblems.ai/wiki/library/discrete_geometry/erdos_1975_euclidean_ramsey_theorems_ii/theorem_10 https://erdosproblems.ai/wiki/library/discrete_geometry/erdos_1975_euclidean_ramsey_theorems_ii/theorem_1_prime https://erdosproblems.ai/wiki/library/discrete_geometry/erdos_1975_euclidean_ramsey_theorems_ii/theorem_2 https://erdosproblems.ai/wiki/library/discrete_geometry/erdos_1975_euclidean_ramsey_theorems_ii/theorem_3 https://erdosproblems.ai/wiki/library/discrete_geometry/erdos_1975_euclidean_ramsey_theorems_ii/theorem_4 https://erdosproblems.ai/wiki/library/discrete_geometry/erdos_1975_euclidean_ramsey_theorems_ii/theorem_5 https://erdosproblems.ai/wiki/library/discrete_geometry/erdos_1975_euclidean_ramsey_theorems_ii/theorem_7 https://erdosproblems.ai/wiki/library/discrete_geometry/erdos_1975_euclidean_ramsey_theorems_ii/theorem_8 https://erdosproblems.ai/wiki/library/discrete_geometry/erdos_1975_euclidean_ramsey_theorems_ii/theorem_9 https://erdosproblems.ai/wiki/library/discrete_geometry/erdos_1975_euclidean_ramsey_theorems_iii https://erdosproblems.ai/wiki/library/discrete_geometry/erdos_1975_euclidean_ramsey_theorems_iii/conjecture_1 https://erdosproblems.ai/wiki/library/discrete_geometry/erdos_1975_euclidean_ramsey_theorems_iii/conjecture_3 https://erdosproblems.ai/wiki/library/discrete_geometry/erdos_1975_euclidean_ramsey_theorems_iii/corollary_10 https://erdosproblems.ai/wiki/library/discrete_geometry/erdos_1975_euclidean_ramsey_theorems_iii/corollary_20 https://erdosproblems.ai/wiki/library/discrete_geometry/erdos_1975_euclidean_ramsey_theorems_iii/theorem_1 https://erdosproblems.ai/wiki/library/discrete_geometry/erdos_1975_euclidean_ramsey_theorems_iii/theorem_14 https://erdosproblems.ai/wiki/library/discrete_geometry/erdos_1975_euclidean_ramsey_theorems_iii/theorem_16 https://erdosproblems.ai/wiki/library/discrete_geometry/erdos_1975_euclidean_ramsey_theorems_iii/theorem_17 https://erdosproblems.ai/wiki/library/discrete_geometry/erdos_1975_euclidean_ramsey_theorems_iii/theorem_27 https://erdosproblems.ai/wiki/library/discrete_geometry/erdos_1975_euclidean_ramsey_theorems_iii/theorem_28 https://erdosproblems.ai/wiki/library/discrete_geometry/erdos_1975_euclidean_ramsey_theorems_iii/theorem_5 https://erdosproblems.ai/wiki/library/discrete_geometry/erdos_1975_euclidean_ramsey_theorems_iii/theorem_6 https://erdosproblems.ai/wiki/library/discrete_geometry/erdos_1975_euclidean_ramsey_theorems_iii/theorem_7 https://erdosproblems.ai/wiki/library/discrete_geometry/erdos_1975_euclidean_ramsey_theorems_iii/theorem_8 https://erdosproblems.ai/wiki/library/discrete_geometry/erdos_1975_euclidean_ramsey_theorems_iii/theorem_9 https://erdosproblems.ai/wiki/library/discrete_geometry/erdos_1975_extremal_problems_geometry https://erdosproblems.ai/wiki/library/discrete_geometry/erdos_1975_extremal_problems_geometry/construction_p301 https://erdosproblems.ai/wiki/library/discrete_geometry/erdos_1975_extremal_problems_geometry/theorem_1 https://erdosproblems.ai/wiki/library/discrete_geometry/erdos_1975_extremal_problems_geometry/theorem_10 https://erdosproblems.ai/wiki/library/discrete_geometry/erdos_1975_extremal_problems_geometry/theorem_2 https://erdosproblems.ai/wiki/library/discrete_geometry/erdos_1975_extremal_problems_geometry/theorem_3 https://erdosproblems.ai/wiki/library/discrete_geometry/erdos_1975_extremal_problems_geometry/theorem_4 https://erdosproblems.ai/wiki/library/discrete_geometry/erdos_1975_extremal_problems_geometry/theorem_5 https://erdosproblems.ai/wiki/library/discrete_geometry/erdos_1975_extremal_problems_geometry/theorem_6 https://erdosproblems.ai/wiki/library/discrete_geometry/erdos_1975_extremal_problems_geometry/theorem_7 https://erdosproblems.ai/wiki/library/discrete_geometry/erdos_1975_extremal_problems_geometry/theorem_8 https://erdosproblems.ai/wiki/library/discrete_geometry/erdos_1975_extremal_problems_geometry/theorem_9 https://erdosproblems.ai/wiki/library/discrete_geometry/erdos_1975_problems_elementary_geometry https://erdosproblems.ai/wiki/library/discrete_geometry/erdos_1975_problems_elementary_geometry/equation_1 https://erdosproblems.ai/wiki/library/discrete_geometry/erdos_1975_problems_elementary_geometry/equation_2 https://erdosproblems.ai/wiki/library/discrete_geometry/erdos_1975_problems_elementary_geometry/question_p3 https://erdosproblems.ai/wiki/library/discrete_geometry/erdos_1978_more_problems_elementary_geometry https://erdosproblems.ai/wiki/library/discrete_geometry/erdos_1978_more_problems_elementary_geometry/conjecture_p53 https://erdosproblems.ai/wiki/library/discrete_geometry/erdos_1978_more_problems_elementary_geometry/inequality_1 https://erdosproblems.ai/wiki/library/discrete_geometry/erdos_1978_more_problems_elementary_geometry/inequality_2 https://erdosproblems.ai/wiki/library/discrete_geometry/erdos_1978_set_theoretic https://erdosproblems.ai/wiki/library/discrete_geometry/erdos_1978_set_theoretic/assertion_p122 https://erdosproblems.ai/wiki/library/discrete_geometry/erdos_1978_set_theoretic/conjecture_p123 https://erdosproblems.ai/wiki/library/discrete_geometry/erdos_1978_set_theoretic/question_p122 https://erdosproblems.ai/wiki/library/discrete_geometry/erdos_1978_set_theoretic/theorem_1 https://erdosproblems.ai/wiki/library/discrete_geometry/erdos_1978_set_theoretic/theorem_2 https://erdosproblems.ai/wiki/library/discrete_geometry/erdos_1978_set_theoretic/theorem_p133 https://erdosproblems.ai/wiki/library/discrete_geometry/erdos_1981_applications_graph_theory_combinatorial_methods_number https://erdosproblems.ai/wiki/library/discrete_geometry/erdos_1981_applications_graph_theory_combinatorial_methods_number/convex_subsets_p140 https://erdosproblems.ai/wiki/library/discrete_geometry/erdos_1981_applications_graph_theory_combinatorial_methods_number/divisor_matchings_p147 https://erdosproblems.ai/wiki/library/discrete_geometry/erdos_1981_applications_graph_theory_combinatorial_methods_number/empty_convex_polygons_p138 https://erdosproblems.ai/wiki/library/discrete_geometry/erdos_1981_applications_graph_theory_combinatorial_methods_number/erdos_szekeres_bounds_p138 https://erdosproblems.ai/wiki/library/discrete_geometry/erdos_1981_applications_graph_theory_combinatorial_methods_number/erdos_turan_p144 https://erdosproblems.ai/wiki/library/discrete_geometry/erdos_1981_applications_graph_theory_combinatorial_methods_number/large_angle_polygons_p139 https://erdosproblems.ai/wiki/library/discrete_geometry/erdos_1981_applications_graph_theory_combinatorial_methods_number/monochromatic_sums_products_p146 https://erdosproblems.ai/wiki/library/discrete_geometry/erdos_1981_applications_graph_theory_combinatorial_methods_number/sums_products_p146 https://erdosproblems.ai/wiki/library/discrete_geometry/erdos_1981_applications_graph_theory_combinatorial_methods_number/unit_circles_p143 https://erdosproblems.ai/wiki/library/discrete_geometry/erdos_1981_applications_graph_theory_combinatorial_methods_number/unit_distance_chromatic_p141 https://erdosproblems.ai/wiki/library/discrete_geometry/erdos_1981_applications_graph_theory_combinatorial_methods_number/unit_distance_graphs_p142 https://erdosproblems.ai/wiki/library/discrete_geometry/erdos_1981_applications_graph_theory_combinatorial_methods_number/unit_distances_p143 https://erdosproblems.ai/wiki/library/discrete_geometry/erdos_1982_my_favourite_problems_which_recently_have https://erdosproblems.ai/wiki/library/discrete_geometry/erdos_1984_research_problems https://erdosproblems.ai/wiki/library/discrete_geometry/erdos_1984_research_problems/conjecture_p101 https://erdosproblems.ai/wiki/library/discrete_geometry/erdos_1984_research_problems/conjecture_p103 https://erdosproblems.ai/wiki/library/discrete_geometry/erdos_1984_research_problems/problem_p102_general_position_subsets https://erdosproblems.ai/wiki/library/discrete_geometry/erdos_1984_research_problems/problem_p102_numbers_of_lines https://erdosproblems.ai/wiki/library/discrete_geometry/erdos_1984_research_problems/problem_p102_ordinary_r_tuples https://erdosproblems.ai/wiki/library/discrete_geometry/erdos_1984_research_problems/theorem_p102_beck https://erdosproblems.ai/wiki/library/discrete_geometry/erdos_1987_combinatorial_metric_problems_geometry https://erdosproblems.ai/wiki/library/discrete_geometry/erdos_1987_combinatorial_metric_problems_geometry/conjecture_p168 https://erdosproblems.ai/wiki/library/discrete_geometry/erdos_1987_combinatorial_metric_problems_geometry/conjecture_p169 https://erdosproblems.ai/wiki/library/discrete_geometry/erdos_1987_combinatorial_metric_problems_geometry/conjecture_p172 https://erdosproblems.ai/wiki/library/discrete_geometry/erdos_1987_combinatorial_metric_problems_geometry/conjecture_p176 https://erdosproblems.ai/wiki/library/discrete_geometry/erdos_1987_combinatorial_metric_problems_geometry/question_p171 https://erdosproblems.ai/wiki/library/discrete_geometry/erdos_1987_combinatorial_metric_problems_geometry/question_p173 https://erdosproblems.ai/wiki/library/discrete_geometry/erdos_1988_solution_problem_grunbaum https://erdosproblems.ai/wiki/library/discrete_geometry/erdos_1988_solution_problem_grunbaum/lemma_1 https://erdosproblems.ai/wiki/library/discrete_geometry/erdos_1988_solution_problem_grunbaum/lemma_2 https://erdosproblems.ai/wiki/library/discrete_geometry/erdos_1988_solution_problem_grunbaum/lemma_3 https://erdosproblems.ai/wiki/library/discrete_geometry/erdos_1988_solution_problem_grunbaum/lemma_4 https://erdosproblems.ai/wiki/library/discrete_geometry/erdos_1988_solution_problem_grunbaum/main_theorem https://erdosproblems.ai/wiki/library/discrete_geometry/escudero_2016_gallai_triangles_configurations_lines_projective_plane https://erdosproblems.ai/wiki/library/discrete_geometry/escudero_2016_gallai_triangles_configurations_lines_projective_plane/lemma_1 https://erdosproblems.ai/wiki/library/discrete_geometry/escudero_2016_gallai_triangles_configurations_lines_projective_plane/theorem_1 https://erdosproblems.ai/wiki/library/discrete_geometry/exoo_2018_chromatic_number_plane_is_at_least https://erdosproblems.ai/wiki/library/discrete_geometry/exoo_2018_chromatic_number_plane_is_at_least/claim_2_1 https://erdosproblems.ai/wiki/library/discrete_geometry/exoo_2018_chromatic_number_plane_is_at_least/claim_3_1 https://erdosproblems.ai/wiki/library/discrete_geometry/exoo_2018_chromatic_number_plane_is_at_least/claim_4_1 https://erdosproblems.ai/wiki/library/discrete_geometry/exoo_2018_chromatic_number_plane_is_at_least/main_theorem https://erdosproblems.ai/wiki/library/discrete_geometry/exoo_2018_hadwiger_nelson_problem_two_forbidden_distances https://erdosproblems.ai/wiki/library/discrete_geometry/exoo_2018_hadwiger_nelson_problem_two_forbidden_distances/conjecture_8_1 https://erdosproblems.ai/wiki/library/discrete_geometry/exoo_2018_hadwiger_nelson_problem_two_forbidden_distances/theorem_1_4 https://erdosproblems.ai/wiki/library/discrete_geometry/exoo_2018_hadwiger_nelson_problem_two_forbidden_distances/theorem_1_7 https://erdosproblems.ai/wiki/library/discrete_geometry/exoo_2018_hadwiger_nelson_problem_two_forbidden_distances/theorem_2_1 https://erdosproblems.ai/wiki/library/discrete_geometry/exoo_2018_hadwiger_nelson_problem_two_forbidden_distances/theorem_2_2 https://erdosproblems.ai/wiki/library/discrete_geometry/exoo_2018_hadwiger_nelson_problem_two_forbidden_distances/theorem_3_1 https://erdosproblems.ai/wiki/library/discrete_geometry/exoo_2018_hadwiger_nelson_problem_two_forbidden_distances/theorem_4_2 https://erdosproblems.ai/wiki/library/discrete_geometry/exoo_2018_hadwiger_nelson_problem_two_forbidden_distances/theorem_6_2 https://erdosproblems.ai/wiki/library/discrete_geometry/exoo_2018_hadwiger_nelson_problem_two_forbidden_distances/theorem_6_4 https://erdosproblems.ai/wiki/library/discrete_geometry/exoo_2018_hadwiger_nelson_problem_two_forbidden_distances/theorem_7_1 https://erdosproblems.ai/wiki/library/discrete_geometry/exoo_2018_hadwiger_nelson_problem_two_forbidden_distances/theorem_7_2 https://erdosproblems.ai/wiki/library/discrete_geometry/filho_2019_counterexample_conjecture_larman_rogers_sets_avoiding https://erdosproblems.ai/wiki/library/discrete_geometry/filho_2019_counterexample_conjecture_larman_rogers_sets_avoiding/construction_p1 https://erdosproblems.ai/wiki/library/discrete_geometry/fiscus_2024_new_class_geometrically_defined_hypergraphs_arising https://erdosproblems.ai/wiki/library/discrete_geometry/fiscus_2024_new_class_geometrically_defined_hypergraphs_arising/corollary_3_1_1 https://erdosproblems.ai/wiki/library/discrete_geometry/fiscus_2024_new_class_geometrically_defined_hypergraphs_arising/corollary_4_4_1 https://erdosproblems.ai/wiki/library/discrete_geometry/fiscus_2024_new_class_geometrically_defined_hypergraphs_arising/corollary_5_1_1 https://erdosproblems.ai/wiki/library/discrete_geometry/fiscus_2024_new_class_geometrically_defined_hypergraphs_arising/theorem_2_1 https://erdosproblems.ai/wiki/library/discrete_geometry/fiscus_2024_new_class_geometrically_defined_hypergraphs_arising/theorem_3_1 https://erdosproblems.ai/wiki/library/discrete_geometry/fiscus_2024_new_class_geometrically_defined_hypergraphs_arising/theorem_4_3 https://erdosproblems.ai/wiki/library/discrete_geometry/fiscus_2024_new_class_geometrically_defined_hypergraphs_arising/theorem_4_4 https://erdosproblems.ai/wiki/library/discrete_geometry/fiscus_2024_new_class_geometrically_defined_hypergraphs_arising/theorem_5_1 https://erdosproblems.ai/wiki/library/discrete_geometry/frankl_1986_all_triangles_are_ramsey https://erdosproblems.ai/wiki/library/discrete_geometry/frankl_1986_all_triangles_are_ramsey/remark_p779 https://erdosproblems.ai/wiki/library/discrete_geometry/frankl_1986_all_triangles_are_ramsey/theorem_1 https://erdosproblems.ai/wiki/library/discrete_geometry/frankl_1990_partition_property_simplices_euclidean_space https://erdosproblems.ai/wiki/library/discrete_geometry/frankl_1990_partition_property_simplices_euclidean_space/corollary_2_3 https://erdosproblems.ai/wiki/library/discrete_geometry/frankl_1990_partition_property_simplices_euclidean_space/corollary_3_2 https://erdosproblems.ai/wiki/library/discrete_geometry/frankl_1990_partition_property_simplices_euclidean_space/corollary_4_2 https://erdosproblems.ai/wiki/library/discrete_geometry/frankl_1990_partition_property_simplices_euclidean_space/corollary_6_5 https://erdosproblems.ai/wiki/library/discrete_geometry/frankl_1990_partition_property_simplices_euclidean_space/definitions https://erdosproblems.ai/wiki/library/discrete_geometry/frankl_1990_partition_property_simplices_euclidean_space/external_inputs https://erdosproblems.ai/wiki/library/discrete_geometry/frankl_1990_partition_property_simplices_euclidean_space/later_questions https://erdosproblems.ai/wiki/library/discrete_geometry/frankl_1990_partition_property_simplices_euclidean_space/lemma_3_1 https://erdosproblems.ai/wiki/library/discrete_geometry/frankl_1990_partition_property_simplices_euclidean_space/lemma_4_1 https://erdosproblems.ai/wiki/library/discrete_geometry/frankl_1990_partition_property_simplices_euclidean_space/modular_independence https://erdosproblems.ai/wiki/library/discrete_geometry/frankl_1990_partition_property_simplices_euclidean_space/negative_type_criterion https://erdosproblems.ai/wiki/library/discrete_geometry/frankl_1990_partition_property_simplices_euclidean_space/ramsey_consequence https://erdosproblems.ai/wiki/library/discrete_geometry/frankl_1990_partition_property_simplices_euclidean_space/theorem_2_2 https://erdosproblems.ai/wiki/library/discrete_geometry/frankl_1990_partition_property_simplices_euclidean_space/theorem_5_1 https://erdosproblems.ai/wiki/library/discrete_geometry/frankl_1990_partition_property_simplices_euclidean_space/theorem_6_4 https://erdosproblems.ai/wiki/library/discrete_geometry/frankl_2004_strong_ramsey_properties_simplices https://erdosproblems.ai/wiki/library/discrete_geometry/frankl_2004_strong_ramsey_properties_simplices/circumradius_continuity https://erdosproblems.ai/wiki/library/discrete_geometry/frankl_2004_strong_ramsey_properties_simplices/claim_3_6 https://erdosproblems.ai/wiki/library/discrete_geometry/frankl_2004_strong_ramsey_properties_simplices/claim_3_7 https://erdosproblems.ai/wiki/library/discrete_geometry/frankl_2004_strong_ramsey_properties_simplices/definitions https://erdosproblems.ai/wiki/library/discrete_geometry/frankl_2004_strong_ramsey_properties_simplices/fact_3_10 https://erdosproblems.ai/wiki/library/discrete_geometry/frankl_2004_strong_ramsey_properties_simplices/lemma_2_3 https://erdosproblems.ai/wiki/library/discrete_geometry/frankl_2004_strong_ramsey_properties_simplices/lemma_3_12 https://erdosproblems.ai/wiki/library/discrete_geometry/frankl_2004_strong_ramsey_properties_simplices/lemma_3_13 https://erdosproblems.ai/wiki/library/discrete_geometry/frankl_2004_strong_ramsey_properties_simplices/lemma_3_4 https://erdosproblems.ai/wiki/library/discrete_geometry/frankl_2004_strong_ramsey_properties_simplices/lemma_3_5 https://erdosproblems.ai/wiki/library/discrete_geometry/frankl_2004_strong_ramsey_properties_simplices/lemma_3_9 https://erdosproblems.ai/wiki/library/discrete_geometry/frankl_2004_strong_ramsey_properties_simplices/remark_3_8 https://erdosproblems.ai/wiki/library/discrete_geometry/frankl_2004_strong_ramsey_properties_simplices/theorem_1_3 https://erdosproblems.ai/wiki/library/discrete_geometry/frankl_2004_strong_ramsey_properties_simplices/theorem_1_6 https://erdosproblems.ai/wiki/library/discrete_geometry/frankl_2004_strong_ramsey_properties_simplices/theorem_2_1 https://erdosproblems.ai/wiki/library/discrete_geometry/frankl_2004_strong_ramsey_properties_simplices/theorem_2_2 https://erdosproblems.ai/wiki/library/discrete_geometry/frankl_2004_strong_ramsey_properties_simplices/theorem_3_2 https://erdosproblems.ai/wiki/library/discrete_geometry/frankl_2004_strong_ramsey_properties_simplices/theorem_3_3 https://erdosproblems.ai/wiki/library/discrete_geometry/fuhrer_2025_progressions_euclidean_ramsey_theory https://erdosproblems.ai/wiki/library/discrete_geometry/fuhrer_2025_progressions_euclidean_ramsey_theory/theorem_1 https://erdosproblems.ai/wiki/library/discrete_geometry/fuhrer_2025_progressions_euclidean_ramsey_theory/theorem_2 https://erdosproblems.ai/wiki/library/discrete_geometry/furedi_1991_maximal_independent_subsets_steiner_systems_planar_sets https://erdosproblems.ai/wiki/library/discrete_geometry/furedi_1991_maximal_independent_subsets_steiner_systems_planar_sets/inequality_2_2 https://erdosproblems.ai/wiki/library/discrete_geometry/furedi_1991_maximal_independent_subsets_steiner_systems_planar_sets/theorem_1_1 https://erdosproblems.ai/wiki/library/discrete_geometry/furedi_1991_maximal_independent_subsets_steiner_systems_planar_sets/theorem_2_3 https://erdosproblems.ai/wiki/library/discrete_geometry/ge_et_al_2026_all_simplices_exhibit_canonical_ramsey_property https://erdosproblems.ai/wiki/library/discrete_geometry/gerver_1979_certain_sequences_lattice_points https://erdosproblems.ai/wiki/library/discrete_geometry/gerver_1979_certain_sequences_lattice_points/theorem_1 https://erdosproblems.ai/wiki/library/discrete_geometry/gerver_1979_certain_sequences_lattice_points/theorem_2 https://erdosproblems.ai/wiki/library/discrete_geometry/gerver_1979_certain_sequences_lattice_points/theorem_3 https://erdosproblems.ai/wiki/library/discrete_geometry/globus_2019_small_unit_distance_graphs_plane https://erdosproblems.ai/wiki/library/discrete_geometry/globus_2019_small_unit_distance_graphs_plane/theorem_1 https://erdosproblems.ai/wiki/library/discrete_geometry/globus_2019_small_unit_distance_graphs_plane/theorem_33 https://erdosproblems.ai/wiki/library/discrete_geometry/globus_2019_small_unit_distance_graphs_plane/theorem_9 https://erdosproblems.ai/wiki/library/discrete_geometry/graham_1983_euclidean_ramsey_theorems_n_sphere https://erdosproblems.ai/wiki/library/discrete_geometry/graham_1983_euclidean_ramsey_theorems_n_sphere/theorem_1 https://erdosproblems.ai/wiki/library/discrete_geometry/graham_1983_euclidean_ramsey_theorems_n_sphere/theorem_2 https://erdosproblems.ai/wiki/library/discrete_geometry/graham_1983_euclidean_ramsey_theorems_n_sphere/theorem_3 https://erdosproblems.ai/wiki/library/discrete_geometry/graham_1983_euclidean_ramsey_theorems_n_sphere/theorem_4 https://erdosproblems.ai/wiki/library/discrete_geometry/graham_2017_euclidean_ramsey_theory https://erdosproblems.ai/wiki/library/discrete_geometry/graham_2017_euclidean_ramsey_theory/conjecture_11_1_1 https://erdosproblems.ai/wiki/library/discrete_geometry/graham_2017_euclidean_ramsey_theory/conjecture_11_1_2 https://erdosproblems.ai/wiki/library/discrete_geometry/graham_2017_euclidean_ramsey_theory/conjecture_11_1_3 https://erdosproblems.ai/wiki/library/discrete_geometry/graham_2017_euclidean_ramsey_theory/conjecture_11_2_13 https://erdosproblems.ai/wiki/library/discrete_geometry/graham_2017_euclidean_ramsey_theory/conjecture_11_2_14 https://erdosproblems.ai/wiki/library/discrete_geometry/graham_2017_euclidean_ramsey_theory/conjecture_11_5_6 https://erdosproblems.ai/wiki/library/discrete_geometry/graham_2017_euclidean_ramsey_theory/conjecture_11_6_5 https://erdosproblems.ai/wiki/library/discrete_geometry/graham_2017_euclidean_ramsey_theory/problem_11_1_6 https://erdosproblems.ai/wiki/library/discrete_geometry/graham_2017_euclidean_ramsey_theory/theorem_11_1_4 https://erdosproblems.ai/wiki/library/discrete_geometry/graham_2017_euclidean_ramsey_theory/theorem_11_2_5 https://erdosproblems.ai/wiki/library/discrete_geometry/green_2013_sets_defining_few_ordinary_lines https://erdosproblems.ai/wiki/library/discrete_geometry/green_2013_sets_defining_few_ordinary_lines/proposition_2_1 https://erdosproblems.ai/wiki/library/discrete_geometry/green_2013_sets_defining_few_ordinary_lines/proposition_2_6 https://erdosproblems.ai/wiki/library/discrete_geometry/green_2013_sets_defining_few_ordinary_lines/theorem_1_2 https://erdosproblems.ai/wiki/library/discrete_geometry/green_2013_sets_defining_few_ordinary_lines/theorem_1_3 https://erdosproblems.ai/wiki/library/discrete_geometry/green_2013_sets_defining_few_ordinary_lines/theorem_1_4 https://erdosproblems.ai/wiki/library/discrete_geometry/green_2013_sets_defining_few_ordinary_lines/theorem_1_5 https://erdosproblems.ai/wiki/library/discrete_geometry/green_2013_sets_defining_few_ordinary_lines/theorem_2_2 https://erdosproblems.ai/wiki/library/discrete_geometry/green_2013_sets_defining_few_ordinary_lines/theorem_2_4 https://erdosproblems.ai/wiki/library/discrete_geometry/grey_2018_chromatic_number_plane_is_at_least https://erdosproblems.ai/wiki/library/discrete_geometry/grey_2018_chromatic_number_plane_is_at_least/main_theorem https://erdosproblems.ai/wiki/library/discrete_geometry/grey_2018_chromatic_number_plane_is_at_least/section_5_1 https://erdosproblems.ai/wiki/library/discrete_geometry/grey_2023_lower_bounds_order_k_chromatic_unit https://erdosproblems.ai/wiki/library/discrete_geometry/grinsztajn_2026_borsuk_dimension_63_claim https://erdosproblems.ai/wiki/library/discrete_geometry/grinsztajn_2026_borsuk_dimension_63_claim/lemma_1 https://erdosproblems.ai/wiki/library/discrete_geometry/grinsztajn_2026_borsuk_dimension_63_claim/lemma_2 https://erdosproblems.ai/wiki/library/discrete_geometry/grinsztajn_2026_borsuk_dimension_63_claim/lemma_3 https://erdosproblems.ai/wiki/library/discrete_geometry/grinsztajn_2026_borsuk_dimension_63_claim/lemma_4 https://erdosproblems.ai/wiki/library/discrete_geometry/grinsztajn_2026_borsuk_dimension_63_claim/lemma_5 https://erdosproblems.ai/wiki/library/discrete_geometry/grinsztajn_2026_borsuk_dimension_63_claim/lemma_6 https://erdosproblems.ai/wiki/library/discrete_geometry/grinsztajn_2026_borsuk_dimension_63_claim/theorem_1 https://erdosproblems.ai/wiki/library/discrete_geometry/grytczuk_2016_fractional_j_fold_colouring_plane https://erdosproblems.ai/wiki/library/discrete_geometry/grytczuk_2016_fractional_j_fold_colouring_plane/theorem_1 https://erdosproblems.ai/wiki/library/discrete_geometry/grytczuk_2016_fractional_j_fold_colouring_plane/theorem_2 https://erdosproblems.ai/wiki/library/discrete_geometry/grytczuk_2016_fractional_j_fold_colouring_plane/theorem_3 https://erdosproblems.ai/wiki/library/discrete_geometry/grytczuk_2016_fractional_j_fold_colouring_plane/theorem_4 https://erdosproblems.ai/wiki/library/discrete_geometry/grytczuk_2016_fractional_j_fold_colouring_plane/theorem_5 https://erdosproblems.ai/wiki/library/discrete_geometry/grytczuk_2016_fractional_j_fold_colouring_plane/theorem_6 https://erdosproblems.ai/wiki/library/discrete_geometry/grytczuk_2016_fractional_j_fold_colouring_plane/theorem_7 https://erdosproblems.ai/wiki/library/discrete_geometry/guruswami_li_2025_density_frankl_rodl_sphere https://erdosproblems.ai/wiki/library/discrete_geometry/hara_1991_critical_behaviour_self_avoiding_walk_five_more_dimensions https://erdosproblems.ai/wiki/library/discrete_geometry/hara_1991_critical_behaviour_self_avoiding_walk_five_more_dimensions/theorem_2_1 https://erdosproblems.ai/wiki/library/discrete_geometry/hara_1991_critical_behaviour_self_avoiding_walk_five_more_dimensions/theorem_2_2 https://erdosproblems.ai/wiki/library/discrete_geometry/hara_1991_critical_behaviour_self_avoiding_walk_five_more_dimensions/theorem_2_3 https://erdosproblems.ai/wiki/library/discrete_geometry/hara_1991_critical_behaviour_self_avoiding_walk_five_more_dimensions/theorem_2_4 https://erdosproblems.ai/wiki/library/discrete_geometry/heule_2018_computing_small_unit_distance_graphs_chromatic https://erdosproblems.ai/wiki/library/discrete_geometry/heule_2018_computing_small_unit_distance_graphs_chromatic/main_theorem https://erdosproblems.ai/wiki/library/discrete_geometry/heule_2019_trimming_graphs_using_clausal_proof_optimization https://erdosproblems.ai/wiki/library/discrete_geometry/heule_2019_trimming_graphs_using_clausal_proof_optimization/section_4_2 https://erdosproblems.ai/wiki/library/discrete_geometry/heule_2019_trimming_graphs_using_clausal_proof_optimization/section_6_3 https://erdosproblems.ai/wiki/library/discrete_geometry/heule_2024_happy_ending_empty_hexagon_30_points https://erdosproblems.ai/wiki/library/discrete_geometry/holmsen_2020_two_extensions_erdos_szekeres_problem https://erdosproblems.ai/wiki/library/discrete_geometry/holmsen_2020_two_extensions_erdos_szekeres_problem/remark_1_4 https://erdosproblems.ai/wiki/library/discrete_geometry/holmsen_2020_two_extensions_erdos_szekeres_problem/theorem_1_3 https://erdosproblems.ai/wiki/library/discrete_geometry/holmsen_2020_two_extensions_erdos_szekeres_problem/theorem_1_7 https://erdosproblems.ai/wiki/library/discrete_geometry/horton_1983_sets_no_empty_convex_7_gons https://erdosproblems.ai/wiki/library/discrete_geometry/horton_1983_sets_no_empty_convex_7_gons/main_theorem https://erdosproblems.ai/wiki/library/discrete_geometry/hubert_2023_optimization_trigonometric_polynomials_crystallographic_symmetry_spectral https://erdosproblems.ai/wiki/library/discrete_geometry/hubert_2023_optimization_trigonometric_polynomials_crystallographic_symmetry_spectral/proposition_4_15 https://erdosproblems.ai/wiki/library/discrete_geometry/hubert_2023_optimization_trigonometric_polynomials_crystallographic_symmetry_spectral/theorem_3_5 https://erdosproblems.ai/wiki/library/discrete_geometry/hubert_2023_optimization_trigonometric_polynomials_crystallographic_symmetry_spectral/theorem_3_8 https://erdosproblems.ai/wiki/library/discrete_geometry/hubert_2023_optimization_trigonometric_polynomials_crystallographic_symmetry_spectral/theorem_4_10 https://erdosproblems.ai/wiki/library/discrete_geometry/hubert_2023_optimization_trigonometric_polynomials_crystallographic_symmetry_spectral/theorem_4_2 https://erdosproblems.ai/wiki/library/discrete_geometry/hubert_2023_optimization_trigonometric_polynomials_crystallographic_symmetry_spectral/theorem_4_5 https://erdosproblems.ai/wiki/library/discrete_geometry/ivan_2026_block_sizes_block_sets_conjecture https://erdosproblems.ai/wiki/library/discrete_geometry/ivan_2026_block_sizes_block_sets_conjecture/definitions https://erdosproblems.ai/wiki/library/discrete_geometry/ivan_2026_block_sizes_block_sets_conjecture/external_inputs https://erdosproblems.ai/wiki/library/discrete_geometry/ivan_2026_block_sizes_block_sets_conjecture/fixed_pattern https://erdosproblems.ai/wiki/library/discrete_geometry/ivan_2026_block_sizes_block_sets_conjecture/generalized_obstruction https://erdosproblems.ai/wiki/library/discrete_geometry/ivan_2026_block_sizes_block_sets_conjecture/geometric_power_scope https://erdosproblems.ai/wiki/library/discrete_geometry/ivan_2026_block_sizes_block_sets_conjecture/geometric_scale_obstruction https://erdosproblems.ai/wiki/library/discrete_geometry/ivan_2026_block_sizes_block_sets_conjecture/norm_observations https://erdosproblems.ai/wiki/library/discrete_geometry/ivan_2026_block_sizes_block_sets_conjecture/open_questions https://erdosproblems.ai/wiki/library/discrete_geometry/ivan_2026_block_sizes_block_sets_conjecture/theorem_2 https://erdosproblems.ai/wiki/library/discrete_geometry/ivan_2026_block_sizes_block_sets_conjecture/theorem_3 https://erdosproblems.ai/wiki/library/discrete_geometry/ivan_2026_block_sizes_block_sets_conjecture/three_letter_rigidity https://erdosproblems.ai/wiki/library/discrete_geometry/ivan_2026_block_sizes_block_sets_conjecture/two_singleton_symbols https://erdosproblems.ai/wiki/library/discrete_geometry/ivan_2026_generalised_prisms_euclidean_ramsey_theory https://erdosproblems.ai/wiki/library/discrete_geometry/ivan_2026_generalised_prisms_euclidean_ramsey_theory/block_template_consequences https://erdosproblems.ai/wiki/library/discrete_geometry/ivan_2026_generalised_prisms_euclidean_ramsey_theory/conjecture_6 https://erdosproblems.ai/wiki/library/discrete_geometry/ivan_2026_generalised_prisms_euclidean_ramsey_theory/conjecture_8 https://erdosproblems.ai/wiki/library/discrete_geometry/ivan_2026_generalised_prisms_euclidean_ramsey_theory/corollary_4 https://erdosproblems.ai/wiki/library/discrete_geometry/ivan_2026_generalised_prisms_euclidean_ramsey_theory/corollary_5 https://erdosproblems.ai/wiki/library/discrete_geometry/ivan_2026_generalised_prisms_euclidean_ramsey_theory/definitions https://erdosproblems.ai/wiki/library/discrete_geometry/ivan_2026_generalised_prisms_euclidean_ramsey_theory/examples https://erdosproblems.ai/wiki/library/discrete_geometry/ivan_2026_generalised_prisms_euclidean_ramsey_theory/external_inputs https://erdosproblems.ai/wiki/library/discrete_geometry/ivan_2026_generalised_prisms_euclidean_ramsey_theory/isometric_extension https://erdosproblems.ai/wiki/library/discrete_geometry/ivan_2026_generalised_prisms_euclidean_ramsey_theory/lemma_2 https://erdosproblems.ai/wiki/library/discrete_geometry/ivan_2026_generalised_prisms_euclidean_ramsey_theory/lemma_3 https://erdosproblems.ai/wiki/library/discrete_geometry/ivan_2026_generalised_prisms_euclidean_ramsey_theory/soluble_prime_degree https://erdosproblems.ai/wiki/library/discrete_geometry/ivan_2026_generalised_prisms_euclidean_ramsey_theory/template_symmetry_qualification https://erdosproblems.ai/wiki/library/discrete_geometry/ivan_2026_generalised_prisms_euclidean_ramsey_theory/theorem_1 https://erdosproblems.ai/wiki/library/discrete_geometry/ivan_2026_generalised_prisms_euclidean_ramsey_theory/theorem_7 https://erdosproblems.ai/wiki/library/discrete_geometry/ivan_2026_generalised_prisms_euclidean_ramsey_theory/two_color_observation https://erdosproblems.ai/wiki/library/discrete_geometry/ivan_2026_generalised_prisms_euclidean_ramsey_theory/zero_height_obstruction https://erdosproblems.ai/wiki/library/discrete_geometry/jackson_2002_sets_meeting_isometric_copies_lattice_exactly_one_point https://erdosproblems.ai/wiki/library/discrete_geometry/jackson_2002_sets_meeting_isometric_copies_lattice_exactly_one_point/theorem_1_1 https://erdosproblems.ai/wiki/library/discrete_geometry/jackson_2002_sets_meeting_isometric_copies_lattice_exactly_one_point/theorem_1_2 https://erdosproblems.ai/wiki/library/discrete_geometry/jacobsen_2016_growth_constant_square_lattice_self_avoiding https://erdosproblems.ai/wiki/library/discrete_geometry/jacobsen_2016_growth_constant_square_lattice_self_avoiding/main_estimate https://erdosproblems.ai/wiki/library/discrete_geometry/jelinek_2009_monochromatic_triangles_two_colored_plane https://erdosproblems.ai/wiki/library/discrete_geometry/jelinek_2009_monochromatic_triangles_two_colored_plane/corollary_1_4 https://erdosproblems.ai/wiki/library/discrete_geometry/jelinek_2009_monochromatic_triangles_two_colored_plane/theorem_2_1 https://erdosproblems.ai/wiki/library/discrete_geometry/jelinek_2009_monochromatic_triangles_two_colored_plane/theorem_3_19 https://erdosproblems.ai/wiki/library/discrete_geometry/jelinek_2009_monochromatic_triangles_two_colored_plane/theorem_3_20 https://erdosproblems.ai/wiki/library/discrete_geometry/jelinek_2009_monochromatic_triangles_two_colored_plane/theorem_3_3 https://erdosproblems.ai/wiki/library/discrete_geometry/jenrich_2014_two_distance_borsuk_counterexample https://erdosproblems.ai/wiki/library/discrete_geometry/jenrich_2014_two_distance_borsuk_counterexample/section_7 https://erdosproblems.ai/wiki/library/discrete_geometry/jenrich_2014_two_distance_borsuk_counterexample/section_8 https://erdosproblems.ai/wiki/library/discrete_geometry/jenrich_brouwer_2014_borsuk_counterexample https://erdosproblems.ai/wiki/library/discrete_geometry/jenrich_brouwer_2014_borsuk_counterexample/theorem_1 https://erdosproblems.ai/wiki/library/discrete_geometry/ji_2026_borsuk_dimension_63_claim https://erdosproblems.ai/wiki/library/discrete_geometry/ji_2026_borsuk_dimension_63_claim/lemma_4_1 https://erdosproblems.ai/wiki/library/discrete_geometry/ji_2026_borsuk_dimension_63_claim/proposition_6_1 https://erdosproblems.ai/wiki/library/discrete_geometry/ji_2026_borsuk_dimension_63_claim/theorem_6_2 https://erdosproblems.ai/wiki/library/discrete_geometry/kahn_kalai_1993_borsuk_counterexample https://erdosproblems.ai/wiki/library/discrete_geometry/kahn_kalai_1993_borsuk_counterexample/asymptotic_dimension_transfer https://erdosproblems.ai/wiki/library/discrete_geometry/kahn_kalai_1993_borsuk_counterexample/equal_cut_construction https://erdosproblems.ai/wiki/library/discrete_geometry/kahn_kalai_1993_borsuk_counterexample/evidence https://erdosproblems.ai/wiki/library/discrete_geometry/kahn_kalai_1993_borsuk_counterexample/evidence/verify https://erdosproblems.ai/wiki/library/discrete_geometry/kahn_kalai_1993_borsuk_counterexample/evidence/verify/composition_review https://erdosproblems.ai/wiki/library/discrete_geometry/kahn_kalai_1993_borsuk_counterexample/evidence/verify/theorem_1_review https://erdosproblems.ai/wiki/library/discrete_geometry/kahn_kalai_1993_borsuk_counterexample/external_inputs https://erdosproblems.ai/wiki/library/discrete_geometry/kahn_kalai_1993_borsuk_counterexample/remark_1 https://erdosproblems.ai/wiki/library/discrete_geometry/kahn_kalai_1993_borsuk_counterexample/theorem_1 https://erdosproblems.ai/wiki/library/discrete_geometry/kahn_kalai_1993_borsuk_counterexample/theorem_2 https://erdosproblems.ai/wiki/library/discrete_geometry/kanellopoulos_karamanlis_2019_hales_jewett_type_property_finite_solvable_groups https://erdosproblems.ai/wiki/library/discrete_geometry/kanellopoulos_karamanlis_2019_hales_jewett_type_property_finite_solvable_groups/corollary_1_6 https://erdosproblems.ai/wiki/library/discrete_geometry/kanellopoulos_karamanlis_2019_hales_jewett_type_property_finite_solvable_groups/theorem_1_4 https://erdosproblems.ai/wiki/library/discrete_geometry/kanellopoulos_karamanlis_2019_hales_jewett_type_property_finite_solvable_groups/theorem_1_5 https://erdosproblems.ai/wiki/library/discrete_geometry/karamanlis_2022_simplices_regular_polygonal_tori https://erdosproblems.ai/wiki/library/discrete_geometry/karamanlis_2022_simplices_regular_polygonal_tori/abelian_orbits https://erdosproblems.ai/wiki/library/discrete_geometry/karamanlis_2022_simplices_regular_polygonal_tori/definitions https://erdosproblems.ai/wiki/library/discrete_geometry/karamanlis_2022_simplices_regular_polygonal_tori/evidence https://erdosproblems.ai/wiki/library/discrete_geometry/karamanlis_2022_simplices_regular_polygonal_tori/evidence/verify https://erdosproblems.ai/wiki/library/discrete_geometry/karamanlis_2022_simplices_regular_polygonal_tori/evidence/verify/full_proof_review https://erdosproblems.ai/wiki/library/discrete_geometry/karamanlis_2022_simplices_regular_polygonal_tori/external_inputs https://erdosproblems.ai/wiki/library/discrete_geometry/karamanlis_2022_simplices_regular_polygonal_tori/lemma_10 https://erdosproblems.ai/wiki/library/discrete_geometry/karamanlis_2022_simplices_regular_polygonal_tori/lemma_3 https://erdosproblems.ai/wiki/library/discrete_geometry/karamanlis_2022_simplices_regular_polygonal_tori/lemma_4 https://erdosproblems.ai/wiki/library/discrete_geometry/karamanlis_2022_simplices_regular_polygonal_tori/lemma_7 https://erdosproblems.ai/wiki/library/discrete_geometry/karamanlis_2022_simplices_regular_polygonal_tori/proposition_11 https://erdosproblems.ai/wiki/library/discrete_geometry/karamanlis_2022_simplices_regular_polygonal_tori/proposition_5 https://erdosproblems.ai/wiki/library/discrete_geometry/karamanlis_2022_simplices_regular_polygonal_tori/proposition_8 https://erdosproblems.ai/wiki/library/discrete_geometry/karamanlis_2022_simplices_regular_polygonal_tori/ramsey_corollary https://erdosproblems.ai/wiki/library/discrete_geometry/karamanlis_2022_simplices_regular_polygonal_tori/regular_expansions https://erdosproblems.ai/wiki/library/discrete_geometry/karamanlis_2022_simplices_regular_polygonal_tori/theorem_2 https://erdosproblems.ai/wiki/library/discrete_geometry/kelly_1958_number_ordinary_lines_determined_points https://erdosproblems.ai/wiki/library/discrete_geometry/kelly_1958_number_ordinary_lines_determined_points/corollary_4_1 https://erdosproblems.ai/wiki/library/discrete_geometry/kelly_1958_number_ordinary_lines_determined_points/inequality_4_5 https://erdosproblems.ai/wiki/library/discrete_geometry/kelly_1958_number_ordinary_lines_determined_points/lemma_4_1 https://erdosproblems.ai/wiki/library/discrete_geometry/kelly_1958_number_ordinary_lines_determined_points/theorem_3_6 https://erdosproblems.ai/wiki/library/discrete_geometry/kelly_1958_number_ordinary_lines_determined_points/theorem_4_1 https://erdosproblems.ai/wiki/library/discrete_geometry/kirova_2023_two_colorings_normed_spaces_without_long https://erdosproblems.ai/wiki/library/discrete_geometry/kirova_2023_two_colorings_normed_spaces_without_long/corollary_1 https://erdosproblems.ai/wiki/library/discrete_geometry/kirova_2023_two_colorings_normed_spaces_without_long/corollary_2 https://erdosproblems.ai/wiki/library/discrete_geometry/kirova_2023_two_colorings_normed_spaces_without_long/theorem_1 https://erdosproblems.ai/wiki/library/discrete_geometry/koizumi_2025_isosceles_trapezoids_unit_area_vertices_sets https://erdosproblems.ai/wiki/library/discrete_geometry/koizumi_2025_isosceles_trapezoids_unit_area_vertices_sets/theorem_1 https://erdosproblems.ai/wiki/library/discrete_geometry/koizumi_2025_isosceles_trapezoids_unit_area_vertices_sets/theorem_2 https://erdosproblems.ai/wiki/library/discrete_geometry/kovac_2023_coloring_density_theorems_configurations_given_volume https://erdosproblems.ai/wiki/library/discrete_geometry/kovac_2023_coloring_density_theorems_configurations_given_volume/theorem_1 https://erdosproblems.ai/wiki/library/discrete_geometry/kovac_2023_coloring_density_theorems_configurations_given_volume/theorem_3 https://erdosproblems.ai/wiki/library/discrete_geometry/kovac_2023_coloring_density_theorems_configurations_given_volume/theorem_4 https://erdosproblems.ai/wiki/library/discrete_geometry/kovac_2023_coloring_density_theorems_configurations_given_volume/theorem_5 https://erdosproblems.ai/wiki/library/discrete_geometry/kovac_2023_coloring_density_theorems_configurations_given_volume/theorem_6 https://erdosproblems.ai/wiki/library/discrete_geometry/kovac_2023_coloring_density_theorems_configurations_given_volume/theorem_7 https://erdosproblems.ai/wiki/library/discrete_geometry/kovac_2024_polygons_unit_area_vertices_sets_infinite https://erdosproblems.ai/wiki/library/discrete_geometry/kovac_2024_polygons_unit_area_vertices_sets_infinite/theorem_1 https://erdosproblems.ai/wiki/library/discrete_geometry/kovac_2024_polygons_unit_area_vertices_sets_infinite/theorem_2 https://erdosproblems.ai/wiki/library/discrete_geometry/kriz_1991_permutation_groups_euclidean_ramsey_theory https://erdosproblems.ai/wiki/library/discrete_geometry/kriz_1991_permutation_groups_euclidean_ramsey_theory/corollary_4_5 https://erdosproblems.ai/wiki/library/discrete_geometry/kriz_1991_permutation_groups_euclidean_ramsey_theory/corollary_4_6 https://erdosproblems.ai/wiki/library/discrete_geometry/kriz_1991_permutation_groups_euclidean_ramsey_theory/definitions https://erdosproblems.ai/wiki/library/discrete_geometry/kriz_1991_permutation_groups_euclidean_ramsey_theory/external_inputs https://erdosproblems.ai/wiki/library/discrete_geometry/kriz_1991_permutation_groups_euclidean_ramsey_theory/finite_witness https://erdosproblems.ai/wiki/library/discrete_geometry/kriz_1991_permutation_groups_euclidean_ramsey_theory/lemma_2_3_1 https://erdosproblems.ai/wiki/library/discrete_geometry/kriz_1991_permutation_groups_euclidean_ramsey_theory/observation_2_2_1 https://erdosproblems.ai/wiki/library/discrete_geometry/kriz_1991_permutation_groups_euclidean_ramsey_theory/proposition_2_4_1 https://erdosproblems.ai/wiki/library/discrete_geometry/kriz_1991_permutation_groups_euclidean_ramsey_theory/ramsey_closure https://erdosproblems.ai/wiki/library/discrete_geometry/kriz_1991_permutation_groups_euclidean_ramsey_theory/theorem_3_2 https://erdosproblems.ai/wiki/library/discrete_geometry/kriz_1991_permutation_groups_euclidean_ramsey_theory/theorem_3_3 https://erdosproblems.ai/wiki/library/discrete_geometry/kriz_1991_permutation_groups_euclidean_ramsey_theory/theorem_3_4 https://erdosproblems.ai/wiki/library/discrete_geometry/kriz_1991_permutation_groups_euclidean_ramsey_theory/theorem_4_1 https://erdosproblems.ai/wiki/library/discrete_geometry/kriz_1991_permutation_groups_euclidean_ramsey_theory/theorem_4_2 https://erdosproblems.ai/wiki/library/discrete_geometry/kriz_1991_permutation_groups_euclidean_ramsey_theory/theorem_4_3 https://erdosproblems.ai/wiki/library/discrete_geometry/kriz_1991_permutation_groups_euclidean_ramsey_theory/theorem_4_4 https://erdosproblems.ai/wiki/library/discrete_geometry/leader_2011_transitive_sets_cyclic_quadrilaterals https://erdosproblems.ai/wiki/library/discrete_geometry/leader_2011_transitive_sets_cyclic_quadrilaterals/conjecture_3 https://erdosproblems.ai/wiki/library/discrete_geometry/leader_2011_transitive_sets_cyclic_quadrilaterals/corollary_2 https://erdosproblems.ai/wiki/library/discrete_geometry/leader_2011_transitive_sets_cyclic_quadrilaterals/generic_consequence https://erdosproblems.ai/wiki/library/discrete_geometry/leader_2011_transitive_sets_cyclic_quadrilaterals/lemma_4 https://erdosproblems.ai/wiki/library/discrete_geometry/leader_2011_transitive_sets_cyclic_quadrilaterals/parameter_projection https://erdosproblems.ai/wiki/library/discrete_geometry/leader_2011_transitive_sets_cyclic_quadrilaterals/theorem_1 https://erdosproblems.ai/wiki/library/discrete_geometry/leader_2012_transitive_sets_euclidean_ramsey_theory https://erdosproblems.ai/wiki/library/discrete_geometry/leader_2012_transitive_sets_euclidean_ramsey_theory/binary_templates https://erdosproblems.ai/wiki/library/discrete_geometry/leader_2012_transitive_sets_euclidean_ramsey_theory/conjectures https://erdosproblems.ai/wiki/library/discrete_geometry/leader_2012_transitive_sets_euclidean_ramsey_theory/external_inputs https://erdosproblems.ai/wiki/library/discrete_geometry/leader_2012_transitive_sets_euclidean_ramsey_theory/historical_questions https://erdosproblems.ai/wiki/library/discrete_geometry/leader_2012_transitive_sets_euclidean_ramsey_theory/lemma_2_3 https://erdosproblems.ai/wiki/library/discrete_geometry/leader_2012_transitive_sets_euclidean_ramsey_theory/lemma_4_1 https://erdosproblems.ai/wiki/library/discrete_geometry/leader_2012_transitive_sets_euclidean_ramsey_theory/minimal_witnesses https://erdosproblems.ai/wiki/library/discrete_geometry/leader_2012_transitive_sets_euclidean_ramsey_theory/orthogonal_representation_count https://erdosproblems.ai/wiki/library/discrete_geometry/leader_2012_transitive_sets_euclidean_ramsey_theory/proposition_2_1 https://erdosproblems.ai/wiki/library/discrete_geometry/leader_2012_transitive_sets_euclidean_ramsey_theory/proposition_2_2 https://erdosproblems.ai/wiki/library/discrete_geometry/leader_2012_transitive_sets_euclidean_ramsey_theory/proposition_2_4 https://erdosproblems.ai/wiki/library/discrete_geometry/leader_2012_transitive_sets_euclidean_ramsey_theory/source_corrections https://erdosproblems.ai/wiki/library/discrete_geometry/leader_2012_transitive_sets_euclidean_ramsey_theory/template_substitution https://erdosproblems.ai/wiki/library/discrete_geometry/leader_2012_transitive_sets_euclidean_ramsey_theory/theorem_3_1 https://erdosproblems.ai/wiki/library/discrete_geometry/leader_2012_transitive_sets_euclidean_ramsey_theory/theorem_4_2 https://erdosproblems.ai/wiki/library/discrete_geometry/leader_2012_transitive_sets_euclidean_ramsey_theory/three_value_orbits https://erdosproblems.ai/wiki/library/discrete_geometry/leader_2012_transitive_sets_euclidean_ramsey_theory/transitive_sets_are_spherical https://erdosproblems.ai/wiki/library/discrete_geometry/leader_2012_transitive_sets_euclidean_ramsey_theory/triangle_embedding https://erdosproblems.ai/wiki/library/discrete_geometry/lidbetter_2023_improved_bound_gerver_ramsey_collinearity_problem https://erdosproblems.ai/wiki/library/discrete_geometry/lidbetter_2023_improved_bound_gerver_ramsey_collinearity_problem/theorem_1 https://erdosproblems.ai/wiki/library/discrete_geometry/martinez_2015_points_defining_triangles_distinct_circumradii https://erdosproblems.ai/wiki/library/discrete_geometry/martinez_2015_points_defining_triangles_distinct_circumradii/lemma_4_1 https://erdosproblems.ai/wiki/library/discrete_geometry/martinez_2015_points_defining_triangles_distinct_circumradii/theorem_1_1 https://erdosproblems.ai/wiki/library/discrete_geometry/martinez_2015_points_defining_triangles_distinct_circumradii/theorem_1_2 https://erdosproblems.ai/wiki/library/discrete_geometry/matolcsi_2025_fractional_chromatic_number_plane_is_at https://erdosproblems.ai/wiki/library/discrete_geometry/matolcsi_2025_fractional_chromatic_number_plane_is_at/conjecture_1 https://erdosproblems.ai/wiki/library/discrete_geometry/matolcsi_2025_fractional_chromatic_number_plane_is_at/corollary_1 https://erdosproblems.ai/wiki/library/discrete_geometry/matolcsi_2025_fractional_chromatic_number_plane_is_at/theorem_1 https://erdosproblems.ai/wiki/library/discrete_geometry/matolcsi_2025_fractional_chromatic_number_plane_is_at/theorem_2 https://erdosproblems.ai/wiki/library/discrete_geometry/matolcsi_2025_fractional_chromatic_number_plane_is_at/theorem_3 https://erdosproblems.ai/wiki/library/discrete_geometry/mauldin_2013_some_problems_ideas_erdos_analysis_geometry https://erdosproblems.ai/wiki/library/discrete_geometry/mauldin_2013_some_problems_ideas_erdos_analysis_geometry/section_5 https://erdosproblems.ai/wiki/library/discrete_geometry/medrano_1996_finite_analogues_euclidean_space https://erdosproblems.ai/wiki/library/discrete_geometry/medrano_1996_finite_analogues_euclidean_space/proposition_2 https://erdosproblems.ai/wiki/library/discrete_geometry/medrano_1996_finite_analogues_euclidean_space/proposition_4 https://erdosproblems.ai/wiki/library/discrete_geometry/medrano_1996_finite_analogues_euclidean_space/theorem_1 https://erdosproblems.ai/wiki/library/discrete_geometry/medrano_1996_finite_analogues_euclidean_space/theorem_3 https://erdosproblems.ai/wiki/library/discrete_geometry/medrano_1996_finite_analogues_euclidean_space/theorem_5 https://erdosproblems.ai/wiki/library/discrete_geometry/mirabi_2026_one_point_extensions_euclidean_ramsey_sets https://erdosproblems.ai/wiki/library/discrete_geometry/mirabi_2026_one_point_extensions_euclidean_ramsey_sets/kriz_inputs https://erdosproblems.ai/wiki/library/discrete_geometry/mirabi_2026_one_point_extensions_euclidean_ramsey_sets/lemma_3_1 https://erdosproblems.ai/wiki/library/discrete_geometry/mirabi_2026_one_point_extensions_euclidean_ramsey_sets/preliminaries https://erdosproblems.ai/wiki/library/discrete_geometry/mirabi_2026_one_point_extensions_euclidean_ramsey_sets/proposition_2_1 https://erdosproblems.ai/wiki/library/discrete_geometry/mirabi_2026_one_point_extensions_euclidean_ramsey_sets/remark_2_2 https://erdosproblems.ai/wiki/library/discrete_geometry/mirabi_2026_one_point_extensions_euclidean_ramsey_sets/theorem_1_1 https://erdosproblems.ai/wiki/library/discrete_geometry/mirabi_2026_one_point_extensions_euclidean_ramsey_sets/theorem_3_2 https://erdosproblems.ai/wiki/library/discrete_geometry/moody_2000_model_sets_survey https://erdosproblems.ai/wiki/library/discrete_geometry/moody_2000_model_sets_survey/definition_p4 https://erdosproblems.ai/wiki/library/discrete_geometry/moody_2000_model_sets_survey/theorem_1 https://erdosproblems.ai/wiki/library/discrete_geometry/moody_2000_model_sets_survey/theorem_12 https://erdosproblems.ai/wiki/library/discrete_geometry/moody_2000_model_sets_survey/theorem_13 https://erdosproblems.ai/wiki/library/discrete_geometry/moody_2000_model_sets_survey/theorem_2 https://erdosproblems.ai/wiki/library/discrete_geometry/moody_2000_model_sets_survey/theorem_3 https://erdosproblems.ai/wiki/library/discrete_geometry/moody_2000_model_sets_survey/theorem_9 https://erdosproblems.ai/wiki/library/discrete_geometry/moore_2026_pyramid_ramsey_base https://erdosproblems.ai/wiki/library/discrete_geometry/moore_2026_pyramid_ramsey_base/lemma_2_3 https://erdosproblems.ai/wiki/library/discrete_geometry/moore_2026_pyramid_ramsey_base/theorem_1_2 https://erdosproblems.ai/wiki/library/discrete_geometry/moore_2026_pyramid_ramsey_base/theorem_2_1 https://erdosproblems.ai/wiki/library/discrete_geometry/moore_2026_pyramid_ramsey_base/theorem_2_2 https://erdosproblems.ai/wiki/library/discrete_geometry/mundinger_2025_neural_discovery_mathematics_do_machines_dream https://erdosproblems.ai/wiki/library/discrete_geometry/mundinger_2025_neural_discovery_mathematics_do_machines_dream/proposition_3_1 https://erdosproblems.ai/wiki/library/discrete_geometry/mundinger_2025_neural_discovery_mathematics_do_machines_dream/variant_1 https://erdosproblems.ai/wiki/library/discrete_geometry/mundinger_2025_neural_discovery_mathematics_do_machines_dream/variant_2 https://erdosproblems.ai/wiki/library/discrete_geometry/mundinger_2025_neural_discovery_mathematics_do_machines_dream/variant_3 https://erdosproblems.ai/wiki/library/discrete_geometry/mundinger_2025_neural_discovery_mathematics_do_machines_dream/variant_4 https://erdosproblems.ai/wiki/library/discrete_geometry/oostema_2020_coloring_unit_distance_strips_using_sat https://erdosproblems.ai/wiki/library/discrete_geometry/oostema_2020_coloring_unit_distance_strips_using_sat/main_theorem https://erdosproblems.ai/wiki/library/discrete_geometry/openai_2026_atomic_certificate_triangular_lattice_universal_optimality https://erdosproblems.ai/wiki/library/discrete_geometry/openai_2026_atomic_certificate_triangular_lattice_universal_optimality/theorem_1_1 https://erdosproblems.ai/wiki/library/discrete_geometry/openai_2026_atomic_certificate_triangular_lattice_universal_optimality/theorem_1_2 https://erdosproblems.ai/wiki/library/discrete_geometry/openai_2026_classification_finite_euclidean_ramsey_configurations https://erdosproblems.ai/wiki/library/discrete_geometry/openai_2026_classification_finite_euclidean_ramsey_configurations/corollary_7_2 https://erdosproblems.ai/wiki/library/discrete_geometry/openai_2026_classification_finite_euclidean_ramsey_configurations/corollary_7_4 https://erdosproblems.ai/wiki/library/discrete_geometry/openai_2026_classification_finite_euclidean_ramsey_configurations/corollary_7_5 https://erdosproblems.ai/wiki/library/discrete_geometry/openai_2026_classification_finite_euclidean_ramsey_configurations/theorem_1_1 https://erdosproblems.ai/wiki/library/discrete_geometry/openai_2026_critical_strip_crossing_mass_honeycomb_lattice https://erdosproblems.ai/wiki/library/discrete_geometry/openai_2026_critical_strip_crossing_mass_honeycomb_lattice/theorem_1_1 https://erdosproblems.ai/wiki/library/discrete_geometry/openai_2026_euclidean_plane_not_five_colorable https://erdosproblems.ai/wiki/library/discrete_geometry/openai_2026_euclidean_plane_not_five_colorable/theorem_1_1 https://erdosproblems.ai/wiki/library/discrete_geometry/openai_2026_euclidean_plane_not_five_colorable/theorem_1_3 https://erdosproblems.ai/wiki/library/discrete_geometry/openai_2026_euclidean_plane_not_five_colorable/theorem_1_4 https://erdosproblems.ai/wiki/library/discrete_geometry/openai_2026_finite_angular_cylinder_covers_below_half_area_bound https://erdosproblems.ai/wiki/library/discrete_geometry/openai_2026_finite_angular_cylinder_covers_below_half_area_bound/corollary_1_2 https://erdosproblems.ai/wiki/library/discrete_geometry/openai_2026_finite_angular_cylinder_covers_below_half_area_bound/theorem_1_1 https://erdosproblems.ai/wiki/library/discrete_geometry/openai_2026_mass_covering_exponents_fixed_length_honeycomb_walks https://erdosproblems.ai/wiki/library/discrete_geometry/openai_2026_mass_covering_exponents_fixed_length_honeycomb_walks/corollary_1_4 https://erdosproblems.ai/wiki/library/discrete_geometry/openai_2026_mass_covering_exponents_fixed_length_honeycomb_walks/theorem_1_1 https://erdosproblems.ai/wiki/library/discrete_geometry/openai_2026_nine_dimensional_counterexample_borsuk_covering_assertion https://erdosproblems.ai/wiki/library/discrete_geometry/openai_2026_nine_dimensional_counterexample_borsuk_covering_assertion/corollary_7_1 https://erdosproblems.ai/wiki/library/discrete_geometry/openai_2026_nine_dimensional_counterexample_borsuk_covering_assertion/theorem_1_1 https://erdosproblems.ai/wiki/library/discrete_geometry/openai_2026_planar_point_sets_many_unit_distances https://erdosproblems.ai/wiki/library/discrete_geometry/openai_2026_planar_point_sets_many_unit_distances/evidence https://erdosproblems.ai/wiki/library/discrete_geometry/openai_2026_planar_point_sets_many_unit_distances/evidence/verify https://erdosproblems.ai/wiki/library/discrete_geometry/openai_2026_planar_point_sets_many_unit_distances/evidence/verify/full_review https://erdosproblems.ai/wiki/library/discrete_geometry/openai_2026_planar_point_sets_many_unit_distances/evidence/verify/source_corrections_review https://erdosproblems.ai/wiki/library/discrete_geometry/openai_2026_planar_point_sets_many_unit_distances/proposition_2_2 https://erdosproblems.ai/wiki/library/discrete_geometry/openai_2026_planar_point_sets_many_unit_distances/proposition_3_2 https://erdosproblems.ai/wiki/library/discrete_geometry/openai_2026_planar_point_sets_many_unit_distances/proposition_3_3 https://erdosproblems.ai/wiki/library/discrete_geometry/openai_2026_planar_point_sets_many_unit_distances/proposition_3_4 https://erdosproblems.ai/wiki/library/discrete_geometry/openai_2026_planar_point_sets_many_unit_distances/proposition_3_5 https://erdosproblems.ai/wiki/library/discrete_geometry/openai_2026_planar_point_sets_many_unit_distances/proposition_3_6 https://erdosproblems.ai/wiki/library/discrete_geometry/openai_2026_planar_point_sets_many_unit_distances/proposition_3_7 https://erdosproblems.ai/wiki/library/discrete_geometry/openai_2026_planar_point_sets_many_unit_distances/proposition_3_8 https://erdosproblems.ai/wiki/library/discrete_geometry/openai_2026_planar_point_sets_many_unit_distances/theorem_1_1 https://erdosproblems.ai/wiki/library/discrete_geometry/openai_2026_planar_point_sets_many_unit_distances/theorem_2_3 https://erdosproblems.ai/wiki/library/discrete_geometry/openai_2026_power_improvement_heilbronn_triangle_lower_bound https://erdosproblems.ai/wiki/library/discrete_geometry/openai_2026_power_improvement_heilbronn_triangle_lower_bound/theorem_1_1 https://erdosproblems.ai/wiki/library/discrete_geometry/openai_2026_renewal_changes_law_critical_honeycomb_walks https://erdosproblems.ai/wiki/library/discrete_geometry/openai_2026_renewal_changes_law_critical_honeycomb_walks/theorem_3_3 https://erdosproblems.ai/wiki/library/discrete_geometry/openai_2026_renewal_changes_law_critical_honeycomb_walks/theorem_6_4 https://erdosproblems.ai/wiki/library/discrete_geometry/openai_2026_renewal_changes_law_critical_honeycomb_walks/theorem_8_1 https://erdosproblems.ai/wiki/library/discrete_geometry/openai_2026_renewal_changes_law_critical_honeycomb_walks/theorem_8_2 https://erdosproblems.ai/wiki/library/discrete_geometry/openai_2026_sharp_fourier_certificate_planar_circle_packing https://erdosproblems.ai/wiki/library/discrete_geometry/openai_2026_sharp_fourier_certificate_planar_circle_packing/corollary_5_2 https://erdosproblems.ai/wiki/library/discrete_geometry/openai_2026_sharp_fourier_certificate_planar_circle_packing/theorem_1_1 https://erdosproblems.ai/wiki/library/discrete_geometry/openai_2026_triangular_minimality_planar_coulomb_renormalized_energy https://erdosproblems.ai/wiki/library/discrete_geometry/openai_2026_triangular_minimality_planar_coulomb_renormalized_energy/corollary_1_3 https://erdosproblems.ai/wiki/library/discrete_geometry/openai_2026_triangular_minimality_planar_coulomb_renormalized_energy/theorem_1_1 https://erdosproblems.ai/wiki/library/discrete_geometry/openai_2026_universal_optimality_triangular_lattice https://erdosproblems.ai/wiki/library/discrete_geometry/openai_2026_universal_optimality_triangular_lattice/corollary_8_1 https://erdosproblems.ai/wiki/library/discrete_geometry/openai_2026_universal_optimality_triangular_lattice/theorem_1_1 https://erdosproblems.ai/wiki/library/discrete_geometry/palvolgyi_2026_cyclic_non_ramsey_heptagon https://erdosproblems.ai/wiki/library/discrete_geometry/palvolgyi_2026_cyclic_non_ramsey_heptagon/theorem_1 https://erdosproblems.ai/wiki/library/discrete_geometry/palvolgyi_2026_nearcircumsphere_ramsey_theorem_solvable_transitive_configurations https://erdosproblems.ai/wiki/library/discrete_geometry/parts_2020_chromatic_number_plane_is_at_least https://erdosproblems.ai/wiki/library/discrete_geometry/parts_2020_chromatic_number_plane_is_at_least/theorem_p8 https://erdosproblems.ai/wiki/library/discrete_geometry/parts_2020_graph_minimization_focusing_example_5_chromatic https://erdosproblems.ai/wiki/library/discrete_geometry/parts_2020_graph_minimization_focusing_example_5_chromatic/main_theorem https://erdosproblems.ai/wiki/library/discrete_geometry/parts_2020_what_percent_plane_can_be_properly https://erdosproblems.ai/wiki/library/discrete_geometry/parts_2020_what_percent_plane_can_be_properly/construction_section_2_2 https://erdosproblems.ai/wiki/library/discrete_geometry/parts_2020_what_percent_plane_can_be_properly/construction_section_2_3 https://erdosproblems.ai/wiki/library/discrete_geometry/parts_2020_what_percent_plane_can_be_properly/table_2 https://erdosproblems.ai/wiki/library/discrete_geometry/parts_2022_plane_coloring https://erdosproblems.ai/wiki/library/discrete_geometry/patel_2025_biggest_open_problem_euclidean_ramsey_theory https://erdosproblems.ai/wiki/library/discrete_geometry/patel_2025_biggest_open_problem_euclidean_ramsey_theory/conjecture_3_1 https://erdosproblems.ai/wiki/library/discrete_geometry/patel_2025_biggest_open_problem_euclidean_ramsey_theory/conjecture_3_3 https://erdosproblems.ai/wiki/library/discrete_geometry/patel_2025_biggest_open_problem_euclidean_ramsey_theory/conjecture_4_1 https://erdosproblems.ai/wiki/library/discrete_geometry/patel_2025_biggest_open_problem_euclidean_ramsey_theory/conjecture_4_3 https://erdosproblems.ai/wiki/library/discrete_geometry/patel_2025_biggest_open_problem_euclidean_ramsey_theory/proposition_3_4 https://erdosproblems.ai/wiki/library/discrete_geometry/patel_2025_biggest_open_problem_euclidean_ramsey_theory/theorem_2_12 https://erdosproblems.ai/wiki/library/discrete_geometry/patel_2025_biggest_open_problem_euclidean_ramsey_theory/theorem_2_13 https://erdosproblems.ai/wiki/library/discrete_geometry/patel_2025_biggest_open_problem_euclidean_ramsey_theory/theorem_2_15 https://erdosproblems.ai/wiki/library/discrete_geometry/patel_2025_biggest_open_problem_euclidean_ramsey_theory/theorem_2_19 https://erdosproblems.ai/wiki/library/discrete_geometry/patel_2025_biggest_open_problem_euclidean_ramsey_theory/theorem_2_5 https://erdosproblems.ai/wiki/library/discrete_geometry/patel_2025_biggest_open_problem_euclidean_ramsey_theory/theorem_2_8 https://erdosproblems.ai/wiki/library/discrete_geometry/pohoata_2022_convex_polytopes_fewer_points https://erdosproblems.ai/wiki/library/discrete_geometry/poonen_rubinstein_1995_number_intersection_points_made_by_diagonals_regular_polygon https://erdosproblems.ai/wiki/library/discrete_geometry/poonen_rubinstein_1995_number_intersection_points_made_by_diagonals_regular_polygon/lemma_1 https://erdosproblems.ai/wiki/library/discrete_geometry/poonen_rubinstein_1995_number_intersection_points_made_by_diagonals_regular_polygon/lemma_3 https://erdosproblems.ai/wiki/library/discrete_geometry/poonen_rubinstein_1995_number_intersection_points_made_by_diagonals_regular_polygon/theorem_1 https://erdosproblems.ai/wiki/library/discrete_geometry/poonen_rubinstein_1995_number_intersection_points_made_by_diagonals_regular_polygon/theorem_2 https://erdosproblems.ai/wiki/library/discrete_geometry/poonen_rubinstein_1995_number_intersection_points_made_by_diagonals_regular_polygon/theorem_3 https://erdosproblems.ai/wiki/library/discrete_geometry/poonen_rubinstein_1995_number_intersection_points_made_by_diagonals_regular_polygon/theorem_4 https://erdosproblems.ai/wiki/library/discrete_geometry/prosanov_2020_new_proof_larman_rogers_upper_bound https://erdosproblems.ai/wiki/library/discrete_geometry/prosanov_2020_new_proof_larman_rogers_upper_bound/theorem_1 https://erdosproblems.ai/wiki/library/discrete_geometry/prosanov_2020_new_proof_larman_rogers_upper_bound/theorem_p7 https://erdosproblems.ai/wiki/library/discrete_geometry/protasov_2024_optimal_partitions_flat_torus_into_parts https://erdosproblems.ai/wiki/library/discrete_geometry/protasov_2024_optimal_partitions_flat_torus_into_parts/theorem_1 https://erdosproblems.ai/wiki/library/discrete_geometry/protasov_2024_optimal_partitions_flat_torus_into_parts/theorem_2 https://erdosproblems.ai/wiki/library/discrete_geometry/protasov_2024_optimal_partitions_flat_torus_into_parts/theorem_3 https://erdosproblems.ai/wiki/library/discrete_geometry/purdy_2009_lines_circles_planes_spheres https://erdosproblems.ai/wiki/library/discrete_geometry/purdy_2009_lines_circles_planes_spheres/corollary_2_6 https://erdosproblems.ai/wiki/library/discrete_geometry/purdy_2009_lines_circles_planes_spheres/remark_p8 https://erdosproblems.ai/wiki/library/discrete_geometry/purdy_2009_lines_circles_planes_spheres/theorem_2_4 https://erdosproblems.ai/wiki/library/discrete_geometry/purdy_2009_lines_circles_planes_spheres/theorem_3_11 https://erdosproblems.ai/wiki/library/discrete_geometry/purdy_2009_lines_circles_planes_spheres/theorem_3_13 https://erdosproblems.ai/wiki/library/discrete_geometry/purdy_2009_lines_circles_planes_spheres/theorem_3_8 https://erdosproblems.ai/wiki/library/discrete_geometry/purdy_2009_lines_circles_planes_spheres/theorem_4_2 https://erdosproblems.ai/wiki/library/discrete_geometry/purdy_2009_lines_circles_planes_spheres/theorem_4_4 https://erdosproblems.ai/wiki/library/discrete_geometry/purdy_2009_lines_circles_planes_spheres/theorem_4_5 https://erdosproblems.ai/wiki/library/discrete_geometry/putterman_2026_infinite_sets_no_line https://erdosproblems.ai/wiki/library/discrete_geometry/raigorodskii_2000_chromatic_number_space https://erdosproblems.ai/wiki/library/discrete_geometry/raigorodskii_2000_chromatic_number_space/main_theorem https://erdosproblems.ai/wiki/library/discrete_geometry/regev_stephens_davidowitz_2016_reverse_minkowski_theorem https://erdosproblems.ai/wiki/library/discrete_geometry/ruhland_2025_no_new_lower_bound_density_planar https://erdosproblems.ai/wiki/library/discrete_geometry/ruhland_2025_no_new_lower_bound_density_planar/correction_p1 https://erdosproblems.ai/wiki/library/discrete_geometry/ruhland_2025_no_new_lower_bound_density_planar/definition_1 https://erdosproblems.ai/wiki/library/discrete_geometry/ruhland_2025_no_new_lower_bound_density_planar/equation_4_5 https://erdosproblems.ai/wiki/library/discrete_geometry/sawin_2026_explicit_lower_bound_unit_distance_problem https://erdosproblems.ai/wiki/library/discrete_geometry/sawin_2026_explicit_lower_bound_unit_distance_problem/lemma_11 https://erdosproblems.ai/wiki/library/discrete_geometry/sawin_2026_explicit_lower_bound_unit_distance_problem/lemma_12 https://erdosproblems.ai/wiki/library/discrete_geometry/sawin_2026_explicit_lower_bound_unit_distance_problem/lemma_2 https://erdosproblems.ai/wiki/library/discrete_geometry/sawin_2026_explicit_lower_bound_unit_distance_problem/lemma_3 https://erdosproblems.ai/wiki/library/discrete_geometry/sawin_2026_explicit_lower_bound_unit_distance_problem/lemma_4 https://erdosproblems.ai/wiki/library/discrete_geometry/sawin_2026_explicit_lower_bound_unit_distance_problem/lemma_5 https://erdosproblems.ai/wiki/library/discrete_geometry/sawin_2026_explicit_lower_bound_unit_distance_problem/lemma_6 https://erdosproblems.ai/wiki/library/discrete_geometry/sawin_2026_explicit_lower_bound_unit_distance_problem/lemma_7 https://erdosproblems.ai/wiki/library/discrete_geometry/sawin_2026_explicit_lower_bound_unit_distance_problem/lemma_8 https://erdosproblems.ai/wiki/library/discrete_geometry/sawin_2026_explicit_lower_bound_unit_distance_problem/lemma_9 https://erdosproblems.ai/wiki/library/discrete_geometry/sawin_2026_explicit_lower_bound_unit_distance_problem/proposition_10 https://erdosproblems.ai/wiki/library/discrete_geometry/sawin_2026_explicit_lower_bound_unit_distance_problem/theorem_1 https://erdosproblems.ai/wiki/library/discrete_geometry/shader_1976_all_right_triangles_are_ramsey_e2 https://erdosproblems.ai/wiki/library/discrete_geometry/shader_1976_all_right_triangles_are_ramsey_e2/corollary_4 https://erdosproblems.ai/wiki/library/discrete_geometry/shader_1976_all_right_triangles_are_ramsey_e2/corollary_5 https://erdosproblems.ai/wiki/library/discrete_geometry/shader_1976_all_right_triangles_are_ramsey_e2/lemma_1 https://erdosproblems.ai/wiki/library/discrete_geometry/shader_1976_all_right_triangles_are_ramsey_e2/theorem_2 https://erdosproblems.ai/wiki/library/discrete_geometry/shader_1976_all_right_triangles_are_ramsey_e2/theorem_3 https://erdosproblems.ai/wiki/library/discrete_geometry/shaw_2026_regular_pentagon_canonically_ramsey https://erdosproblems.ai/wiki/library/discrete_geometry/shaw_2026_regular_pentagon_canonically_ramsey/circle_projection https://erdosproblems.ai/wiki/library/discrete_geometry/shaw_2026_regular_pentagon_canonically_ramsey/composite_obstruction https://erdosproblems.ai/wiki/library/discrete_geometry/shaw_2026_regular_pentagon_canonically_ramsey/definitions https://erdosproblems.ai/wiki/library/discrete_geometry/shaw_2026_regular_pentagon_canonically_ramsey/divisor_normal_form https://erdosproblems.ai/wiki/library/discrete_geometry/shaw_2026_regular_pentagon_canonically_ramsey/emulated_copy https://erdosproblems.ai/wiki/library/discrete_geometry/shaw_2026_regular_pentagon_canonically_ramsey/external_inputs https://erdosproblems.ai/wiki/library/discrete_geometry/shaw_2026_regular_pentagon_canonically_ramsey/finite_witness https://erdosproblems.ai/wiki/library/discrete_geometry/shaw_2026_regular_pentagon_canonically_ramsey/invariance https://erdosproblems.ai/wiki/library/discrete_geometry/shaw_2026_regular_pentagon_canonically_ramsey/lemma_3 https://erdosproblems.ai/wiki/library/discrete_geometry/shaw_2026_regular_pentagon_canonically_ramsey/lemma_4 https://erdosproblems.ai/wiki/library/discrete_geometry/shaw_2026_regular_pentagon_canonically_ramsey/lemma_5 https://erdosproblems.ai/wiki/library/discrete_geometry/shaw_2026_regular_pentagon_canonically_ramsey/lemma_6 https://erdosproblems.ai/wiki/library/discrete_geometry/shaw_2026_regular_pentagon_canonically_ramsey/lemma_7 https://erdosproblems.ai/wiki/library/discrete_geometry/shaw_2026_regular_pentagon_canonically_ramsey/not_in_simplex_products https://erdosproblems.ai/wiki/library/discrete_geometry/shaw_2026_regular_pentagon_canonically_ramsey/polygon_product_rigidity https://erdosproblems.ai/wiki/library/discrete_geometry/shaw_2026_regular_pentagon_canonically_ramsey/question_1 https://erdosproblems.ai/wiki/library/discrete_geometry/shaw_2026_regular_pentagon_canonically_ramsey/theorem_1 https://erdosproblems.ai/wiki/library/discrete_geometry/shaw_2026_regular_pentagon_canonically_ramsey/theorem_2 https://erdosproblems.ai/wiki/library/discrete_geometry/shirandami_2023_dense_forests_constructed_grids https://erdosproblems.ai/wiki/library/discrete_geometry/shkredov_2015_problems_euclidean_ramsey_theory https://erdosproblems.ai/wiki/library/discrete_geometry/shkredov_2015_problems_euclidean_ramsey_theory/corollary_4 https://erdosproblems.ai/wiki/library/discrete_geometry/shkredov_2015_problems_euclidean_ramsey_theory/corollary_7 https://erdosproblems.ai/wiki/library/discrete_geometry/shkredov_2015_problems_euclidean_ramsey_theory/theorem_1 https://erdosproblems.ai/wiki/library/discrete_geometry/shkredov_2015_problems_euclidean_ramsey_theory/theorem_3 https://erdosproblems.ai/wiki/library/discrete_geometry/shkredov_2015_problems_euclidean_ramsey_theory/theorem_6 https://erdosproblems.ai/wiki/library/discrete_geometry/shkredov_2015_problems_euclidean_ramsey_theory/theorem_9 https://erdosproblems.ai/wiki/library/discrete_geometry/singh_2026_square_packing_conjecture_erdos https://erdosproblems.ai/wiki/library/discrete_geometry/singh_2026_square_packing_conjecture_erdos/square_case_p3 https://erdosproblems.ai/wiki/library/discrete_geometry/singh_2026_square_packing_conjecture_erdos/theorem_1 https://erdosproblems.ai/wiki/library/discrete_geometry/singh_2026_square_packing_conjecture_erdos/theorem_2 https://erdosproblems.ai/wiki/library/discrete_geometry/sokolov_2025_chromatic_number_plane_map_type_colorings https://erdosproblems.ai/wiki/library/discrete_geometry/sokolov_2025_chromatic_number_plane_map_type_colorings/corollary_1 https://erdosproblems.ai/wiki/library/discrete_geometry/sokolov_2025_chromatic_number_plane_map_type_colorings/theorem_1 https://erdosproblems.ai/wiki/library/discrete_geometry/sokolov_2025_chromatic_number_plane_map_type_colorings/theorem_2 https://erdosproblems.ai/wiki/library/discrete_geometry/solymosi_2013_many_collinear_k_tuples https://erdosproblems.ai/wiki/library/discrete_geometry/solymosi_2013_many_collinear_k_tuples/theorem_1 https://erdosproblems.ai/wiki/library/discrete_geometry/suk_2017_erdos_szekeres_convex_polygon_problem https://erdosproblems.ai/wiki/library/discrete_geometry/suk_2017_erdos_szekeres_convex_polygon_problem/theorem_1_1 https://erdosproblems.ai/wiki/library/discrete_geometry/swanepoel_2002_independence_numbers_planar_contact_graphs https://erdosproblems.ai/wiki/library/discrete_geometry/swanepoel_2002_independence_numbers_planar_contact_graphs/theorem_1 https://erdosproblems.ai/wiki/library/discrete_geometry/swanepoel_2002_independence_numbers_planar_contact_graphs/theorem_2 https://erdosproblems.ai/wiki/library/discrete_geometry/szemeredi_1983_extremal_problems_discrete_geometry https://erdosproblems.ai/wiki/library/discrete_geometry/tolmachev_2025_lower_bounds_density_planar_periodic_sets https://erdosproblems.ai/wiki/library/discrete_geometry/tolmachev_2025_lower_bounds_density_planar_periodic_sets/lemma_3 https://erdosproblems.ai/wiki/library/discrete_geometry/tolmachev_2025_lower_bounds_density_planar_periodic_sets/theorem_1 https://erdosproblems.ai/wiki/library/discrete_geometry/tsaturian_2017_euclidean_ramsey_result_plane https://erdosproblems.ai/wiki/library/discrete_geometry/tsaturian_2017_euclidean_ramsey_result_plane/configurations https://erdosproblems.ai/wiki/library/discrete_geometry/tsaturian_2017_euclidean_ramsey_result_plane/lemma_2 https://erdosproblems.ai/wiki/library/discrete_geometry/tsaturian_2017_euclidean_ramsey_result_plane/lemma_3 https://erdosproblems.ai/wiki/library/discrete_geometry/tsaturian_2017_euclidean_ramsey_result_plane/lemma_4 https://erdosproblems.ai/wiki/library/discrete_geometry/tsaturian_2017_euclidean_ramsey_result_plane/lemma_5 https://erdosproblems.ai/wiki/library/discrete_geometry/tsaturian_2017_euclidean_ramsey_result_plane/lemma_6 https://erdosproblems.ai/wiki/library/discrete_geometry/tsaturian_2017_euclidean_ramsey_result_plane/lemma_7 https://erdosproblems.ai/wiki/library/discrete_geometry/tsaturian_2017_euclidean_ramsey_result_plane/theorem_1 https://erdosproblems.ai/wiki/library/discrete_geometry/tsaturian_2019_problems_extremal_graph_theory_euclidean_ramsey https://erdosproblems.ai/wiki/library/discrete_geometry/tsaturian_2019_problems_extremal_graph_theory_euclidean_ramsey/theorem_2_2_3 https://erdosproblems.ai/wiki/library/discrete_geometry/tsaturian_2019_problems_extremal_graph_theory_euclidean_ramsey/theorem_3_1_10 https://erdosproblems.ai/wiki/library/discrete_geometry/tsaturian_2019_problems_extremal_graph_theory_euclidean_ramsey/theorem_3_2_7 https://erdosproblems.ai/wiki/library/discrete_geometry/tsaturian_2019_problems_extremal_graph_theory_euclidean_ramsey/theorem_3_3_1 https://erdosproblems.ai/wiki/library/discrete_geometry/tsaturian_2019_problems_extremal_graph_theory_euclidean_ramsey/theorem_4_2_1 https://erdosproblems.ai/wiki/library/discrete_geometry/tsaturian_2019_problems_extremal_graph_theory_euclidean_ramsey/theorem_4_3_1 https://erdosproblems.ai/wiki/library/discrete_geometry/vallentin_2025_conic_optimization_extremal_geometry https://erdosproblems.ai/wiki/library/discrete_geometry/vinh_2005_chromatic_number_unit_quadrance_graphs_finite https://erdosproblems.ai/wiki/library/discrete_geometry/vinh_2005_chromatic_number_unit_quadrance_graphs_finite/example_1 https://erdosproblems.ai/wiki/library/discrete_geometry/vinh_2005_chromatic_number_unit_quadrance_graphs_finite/lemma_1 https://erdosproblems.ai/wiki/library/discrete_geometry/vinh_2005_chromatic_number_unit_quadrance_graphs_finite/lemma_6 https://erdosproblems.ai/wiki/library/discrete_geometry/vinh_2005_chromatic_number_unit_quadrance_graphs_finite/theorem_1 https://erdosproblems.ai/wiki/library/discrete_geometry/vinh_2005_chromatic_number_unit_quadrance_graphs_finite/theorem_2 https://erdosproblems.ai/wiki/library/discrete_geometry/voronov_2022_constructing_5_chromatic_unit_distance_graphs https://erdosproblems.ai/wiki/library/discrete_geometry/voronov_2022_constructing_5_chromatic_unit_distance_graphs/proposition_5 https://erdosproblems.ai/wiki/library/discrete_geometry/voronov_2022_constructing_5_chromatic_unit_distance_graphs/proposition_6 https://erdosproblems.ai/wiki/library/discrete_geometry/voronov_2022_constructing_5_chromatic_unit_distance_graphs/theorem_1 https://erdosproblems.ai/wiki/library/discrete_geometry/voronov_2025_chromatic_number_plane_interval_forbidden_distances https://erdosproblems.ai/wiki/library/discrete_geometry/voronov_2025_chromatic_number_plane_interval_forbidden_distances/corollary_1_1 https://erdosproblems.ai/wiki/library/discrete_geometry/voronov_2025_chromatic_number_plane_interval_forbidden_distances/theorem_1_1 https://erdosproblems.ai/wiki/library/discrete_geometry/voronov_2025_chromatic_number_plane_interval_forbidden_distances/theorem_1_2 https://erdosproblems.ai/wiki/library/discrete_geometry/voronov_2025_chromatic_number_plane_interval_forbidden_distances/theorem_1_3 https://erdosproblems.ai/wiki/library/discrete_geometry/vritsiou_2023_regular_ellipsoids_blaschke_santalo_type_inequality_projections_non_symmetric_convex_bodies https://erdosproblems.ai/wiki/library/discrete_geometry/vritsiou_2023_regular_ellipsoids_blaschke_santalo_type_inequality_projections_non_symmetric_convex_bodies/corollary_17 https://erdosproblems.ai/wiki/library/discrete_geometry/vritsiou_2023_regular_ellipsoids_blaschke_santalo_type_inequality_projections_non_symmetric_convex_bodies/proposition_3 https://erdosproblems.ai/wiki/library/discrete_geometry/vritsiou_2023_regular_ellipsoids_blaschke_santalo_type_inequality_projections_non_symmetric_convex_bodies/theorem_1 https://erdosproblems.ai/wiki/library/discrete_geometry/vritsiou_2023_regular_ellipsoids_blaschke_santalo_type_inequality_projections_non_symmetric_convex_bodies/theorem_2 https://erdosproblems.ai/wiki/library/discrete_geometry/vritsiou_2023_regular_ellipsoids_blaschke_santalo_type_inequality_projections_non_symmetric_convex_bodies/theorem_4 https://erdosproblems.ai/wiki/library/discrete_geometry/wormald_1979_chromatic_graph_special_plane_drawing https://erdosproblems.ai/wiki/library/discrete_geometry/wormald_1979_chromatic_graph_special_plane_drawing/main_theorem https://erdosproblems.ai/wiki/library/discrete_geometry/zhang_2025_tiling_triangles_angles https://erdosproblems.ai/wiki/library/discrete_geometry/zhao_ge_2026_monochromatic_unit_equilateral_triangle_low_dimensional_spheres https://erdosproblems.ai/wiki/library/discrete_geometry/zhao_ge_2026_monochromatic_unit_equilateral_triangle_low_dimensional_spheres/theorem_1_2 https://erdosproblems.ai/wiki/library/discrete_geometry/zhao_ge_2026_monochromatic_unit_equilateral_triangle_low_dimensional_spheres/theorem_1_4 https://erdosproblems.ai/wiki/library/discrete_geometry/zhao_ge_2026_monochromatic_unit_equilateral_triangle_low_dimensional_spheres/theorem_1_5 https://erdosproblems.ai/wiki/library/discrete_geometry/zhao_ge_2026_monochromatic_unit_equilateral_triangle_low_dimensional_spheres/theorem_1_6 https://erdosproblems.ai/wiki/library/discrete_geometry/zhao_ge_2026_monochromatic_unit_equilateral_triangle_low_dimensional_spheres/theorem_4_1 https://erdosproblems.ai/wiki/library/distance_problems https://erdosproblems.ai/wiki/library/distance_problems/aggarwal_2015_unit_distances_convex_polygon https://erdosproblems.ai/wiki/library/distance_problems/aggarwal_2015_unit_distances_convex_polygon/theorem_1 https://erdosproblems.ai/wiki/library/distance_problems/aggarwal_2015_unit_distances_convex_polygon/theorem_2 https://erdosproblems.ai/wiki/library/distance_problems/aggarwal_2015_unit_distances_convex_polygon/theorem_3 https://erdosproblems.ai/wiki/library/distance_problems/alexeev_2024_erdos_unit_distance_problem_small_point https://erdosproblems.ai/wiki/library/distance_problems/altman_1963_problem_p_erdos https://erdosproblems.ai/wiki/library/distance_problems/altman_1963_problem_p_erdos/theorem_p149 https://erdosproblems.ai/wiki/library/distance_problems/anning_1945_integral_distances https://erdosproblems.ai/wiki/library/distance_problems/anning_1945_integral_distances/construction_p598 https://erdosproblems.ai/wiki/library/distance_problems/anning_1945_integral_distances/theorem_p598 https://erdosproblems.ai/wiki/library/distance_problems/apfelbaum_2010_improved_bound_number_unit_area_triangles https://erdosproblems.ai/wiki/library/distance_problems/apfelbaum_2010_improved_bound_number_unit_area_triangles/conjecture_p9 https://erdosproblems.ai/wiki/library/distance_problems/apfelbaum_2010_improved_bound_number_unit_area_triangles/theorem_2_1 https://erdosproblems.ai/wiki/library/distance_problems/aronov_2004_distinct_distances_three_higher_dimensions https://erdosproblems.ai/wiki/library/distance_problems/aronov_2004_distinct_distances_three_higher_dimensions/corollary_1_3 https://erdosproblems.ai/wiki/library/distance_problems/aronov_2004_distinct_distances_three_higher_dimensions/theorem_1_1 https://erdosproblems.ai/wiki/library/distance_problems/aronov_2004_distinct_distances_three_higher_dimensions/theorem_1_2 https://erdosproblems.ai/wiki/library/distance_problems/ascher_2019_erdos_ulam_problem_lang_s_conjecture https://erdosproblems.ai/wiki/library/distance_problems/ascher_2019_erdos_ulam_problem_lang_s_conjecture/corollary_1_2 https://erdosproblems.ai/wiki/library/distance_problems/ascher_2019_erdos_ulam_problem_lang_s_conjecture/definition_p1 https://erdosproblems.ai/wiki/library/distance_problems/ascher_2019_erdos_ulam_problem_lang_s_conjecture/proposition_3_6 https://erdosproblems.ai/wiki/library/distance_problems/ascher_2019_erdos_ulam_problem_lang_s_conjecture/proposition_4_4 https://erdosproblems.ai/wiki/library/distance_problems/ascher_2019_erdos_ulam_problem_lang_s_conjecture/proposition_5_1 https://erdosproblems.ai/wiki/library/distance_problems/ascher_2019_erdos_ulam_problem_lang_s_conjecture/theorem_1_1 https://erdosproblems.ai/wiki/library/distance_problems/avis_1988_repeated_distances_space https://erdosproblems.ai/wiki/library/distance_problems/avis_1988_repeated_distances_space/theorem_1 https://erdosproblems.ai/wiki/library/distance_problems/barany_2013_question_famous_paper_erdos https://erdosproblems.ai/wiki/library/distance_problems/barany_2013_question_famous_paper_erdos/theorem_1_1 https://erdosproblems.ai/wiki/library/distance_problems/barany_2013_question_famous_paper_erdos/theorem_1_2 https://erdosproblems.ai/wiki/library/distance_problems/barany_2013_question_famous_paper_erdos/theorem_1_3 https://erdosproblems.ai/wiki/library/distance_problems/barany_2013_question_famous_paper_erdos/theorem_1_4 https://erdosproblems.ai/wiki/library/distance_problems/bezdek_2013_contact_graphs_unit_sphere_packings_revisited https://erdosproblems.ai/wiki/library/distance_problems/bezdek_2013_contact_graphs_unit_sphere_packings_revisited/theorem_1 https://erdosproblems.ai/wiki/library/distance_problems/bezdek_2013_contact_graphs_unit_sphere_packings_revisited/theorem_2 https://erdosproblems.ai/wiki/library/distance_problems/bezdek_2018_contact_numbers_sphere_packings https://erdosproblems.ai/wiki/library/distance_problems/bezdek_2018_contact_numbers_sphere_packings/corollary_7_2 https://erdosproblems.ai/wiki/library/distance_problems/bezdek_2018_contact_numbers_sphere_packings/proposition_5_1 https://erdosproblems.ai/wiki/library/distance_problems/bezdek_2018_contact_numbers_sphere_packings/theorem_3_1 https://erdosproblems.ai/wiki/library/distance_problems/bezdek_2018_contact_numbers_sphere_packings/theorem_4_1 https://erdosproblems.ai/wiki/library/distance_problems/bezdek_2018_contact_numbers_sphere_packings/theorem_7_1 https://erdosproblems.ai/wiki/library/distance_problems/bezdek_2018_contact_numbers_sphere_packings/theorem_7_8 https://erdosproblems.ai/wiki/library/distance_problems/bhowmick_2024_problem_erdos_about_rich_distances https://erdosproblems.ai/wiki/library/distance_problems/blokhuis_1984_few_distance_sets https://erdosproblems.ai/wiki/library/distance_problems/blokhuis_1984_few_distance_sets/lemma_7_2_4 https://erdosproblems.ai/wiki/library/distance_problems/blokhuis_1984_few_distance_sets/theorem_4_1_1 https://erdosproblems.ai/wiki/library/distance_problems/blokhuis_1984_few_distance_sets/theorem_7_2_2 https://erdosproblems.ai/wiki/library/distance_problems/blokhuis_1984_few_distance_sets/theorem_7_2_5 https://erdosproblems.ai/wiki/library/distance_problems/burt_2015_crescent_configurations https://erdosproblems.ai/wiki/library/distance_problems/burt_2015_crescent_configurations/definition_1_2 https://erdosproblems.ai/wiki/library/distance_problems/burt_2015_crescent_configurations/remark_3_1 https://erdosproblems.ai/wiki/library/distance_problems/burt_2015_crescent_configurations/theorem_1_3 https://erdosproblems.ai/wiki/library/distance_problems/cantwell_1996_finite_euclidean_ramsey_theory https://erdosproblems.ai/wiki/library/distance_problems/cantwell_1996_finite_euclidean_ramsey_theory/theorem_2_11 https://erdosproblems.ai/wiki/library/distance_problems/cantwell_1996_finite_euclidean_ramsey_theory/theorem_3_1 https://erdosproblems.ai/wiki/library/distance_problems/cantwell_1996_finite_euclidean_ramsey_theory/theorem_4_1 https://erdosproblems.ai/wiki/library/distance_problems/charalambides_2013_note_distinct_distance_subsets https://erdosproblems.ai/wiki/library/distance_problems/charalambides_2013_note_distinct_distance_subsets/conjecture_2_3 https://erdosproblems.ai/wiki/library/distance_problems/charalambides_2013_note_distinct_distance_subsets/proposition_1_2 https://erdosproblems.ai/wiki/library/distance_problems/charalambides_2013_note_distinct_distance_subsets/proposition_2_1 https://erdosproblems.ai/wiki/library/distance_problems/charalambides_2013_note_distinct_distance_subsets/proposition_3_1 https://erdosproblems.ai/wiki/library/distance_problems/chen_2025_bounds_two_distance_sets_euclidean_space_unit_sphere https://erdosproblems.ai/wiki/library/distance_problems/chen_2025_bounds_two_distance_sets_euclidean_space_unit_sphere/theorem_3_1 https://erdosproblems.ai/wiki/library/distance_problems/chojecki_2026_erdos_problem_655_natural_repairs_exact https://erdosproblems.ai/wiki/library/distance_problems/chojecki_2026_erdos_problem_655_natural_repairs_exact/corollary_3_2 https://erdosproblems.ai/wiki/library/distance_problems/chojecki_2026_erdos_problem_655_natural_repairs_exact/lemma_2_1 https://erdosproblems.ai/wiki/library/distance_problems/chojecki_2026_erdos_problem_655_natural_repairs_exact/proposition_5_1 https://erdosproblems.ai/wiki/library/distance_problems/chojecki_2026_erdos_problem_655_natural_repairs_exact/theorem_3_1 https://erdosproblems.ai/wiki/library/distance_problems/chojecki_2026_order_growth_planar_sets_avoiding_integer https://erdosproblems.ai/wiki/library/distance_problems/chojecki_2026_order_growth_planar_sets_avoiding_integer/lemma_2 https://erdosproblems.ai/wiki/library/distance_problems/chojecki_2026_order_growth_planar_sets_avoiding_integer/proposition_4 https://erdosproblems.ai/wiki/library/distance_problems/chojecki_2026_order_growth_planar_sets_avoiding_integer/theorem_1 https://erdosproblems.ai/wiki/library/distance_problems/chojecki_2026_order_growth_planar_sets_avoiding_integer/theorem_3 https://erdosproblems.ai/wiki/library/distance_problems/chojecki_2026_poisson_bessel_kernel_bound_planar_sets https://erdosproblems.ai/wiki/library/distance_problems/chojecki_2026_poisson_bessel_kernel_bound_planar_sets/lemma_3_1 https://erdosproblems.ai/wiki/library/distance_problems/chojecki_2026_poisson_bessel_kernel_bound_planar_sets/proposition_2_1 https://erdosproblems.ai/wiki/library/distance_problems/chojecki_2026_poisson_bessel_kernel_bound_planar_sets/proposition_4_2 https://erdosproblems.ai/wiki/library/distance_problems/chojecki_2026_poisson_bessel_kernel_bound_planar_sets/theorem_1_1 https://erdosproblems.ai/wiki/library/distance_problems/chojecki_2026_poisson_bessel_kernel_bound_planar_sets/theorem_1_2 https://erdosproblems.ai/wiki/library/distance_problems/clarkson_1990_combinatorial_complexity_bounds_arrangements_curves_spheres https://erdosproblems.ai/wiki/library/distance_problems/clarkson_1990_combinatorial_complexity_bounds_arrangements_curves_spheres/corollary_5_6 https://erdosproblems.ai/wiki/library/distance_problems/clarkson_1990_combinatorial_complexity_bounds_arrangements_curves_spheres/corollary_6_10 https://erdosproblems.ai/wiki/library/distance_problems/clarkson_1990_combinatorial_complexity_bounds_arrangements_curves_spheres/corollary_6_9 https://erdosproblems.ai/wiki/library/distance_problems/clarkson_1990_combinatorial_complexity_bounds_arrangements_curves_spheres/remark_p157 https://erdosproblems.ai/wiki/library/distance_problems/clarkson_1990_combinatorial_complexity_bounds_arrangements_curves_spheres/theorem_5_4 https://erdosproblems.ai/wiki/library/distance_problems/clarkson_1990_combinatorial_complexity_bounds_arrangements_curves_spheres/theorem_5_5 https://erdosproblems.ai/wiki/library/distance_problems/clarkson_1990_combinatorial_complexity_bounds_arrangements_curves_spheres/theorem_5_8 https://erdosproblems.ai/wiki/library/distance_problems/clarkson_1990_combinatorial_complexity_bounds_arrangements_curves_spheres/theorem_6_6 https://erdosproblems.ai/wiki/library/distance_problems/clarkson_1990_combinatorial_complexity_bounds_arrangements_curves_spheres/theorem_6_7 https://erdosproblems.ai/wiki/library/distance_problems/clarkson_1990_combinatorial_complexity_bounds_arrangements_curves_spheres/theorem_6_8 https://erdosproblems.ai/wiki/library/distance_problems/clemen_2025_multiplicities_interpoint_distances https://erdosproblems.ai/wiki/library/distance_problems/clemen_2025_multiplicities_interpoint_distances/corollary_1_10 https://erdosproblems.ai/wiki/library/distance_problems/clemen_2025_multiplicities_interpoint_distances/observation_5_1 https://erdosproblems.ai/wiki/library/distance_problems/clemen_2025_multiplicities_interpoint_distances/proposition_1_5 https://erdosproblems.ai/wiki/library/distance_problems/clemen_2025_multiplicities_interpoint_distances/proposition_1_8 https://erdosproblems.ai/wiki/library/distance_problems/clemen_2025_multiplicities_interpoint_distances/proposition_5_3 https://erdosproblems.ai/wiki/library/distance_problems/clemen_2025_multiplicities_interpoint_distances/theorem_1_2 https://erdosproblems.ai/wiki/library/distance_problems/clemen_2025_multiplicities_interpoint_distances/theorem_1_3 https://erdosproblems.ai/wiki/library/distance_problems/clemen_2025_multiplicities_interpoint_distances/theorem_1_7 https://erdosproblems.ai/wiki/library/distance_problems/clemen_2025_multiplicities_interpoint_distances/theorem_1_9 https://erdosproblems.ai/wiki/library/distance_problems/conlon_2015_distinct_volume_subsets https://erdosproblems.ai/wiki/library/distance_problems/conlon_2015_distinct_volume_subsets/lemma_2_1 https://erdosproblems.ai/wiki/library/distance_problems/conlon_2015_distinct_volume_subsets/proposition_1_1 https://erdosproblems.ai/wiki/library/distance_problems/conlon_2015_distinct_volume_subsets/proposition_3_3 https://erdosproblems.ai/wiki/library/distance_problems/conlon_2015_distinct_volume_subsets/theorem_1_2 https://erdosproblems.ai/wiki/library/distance_problems/csizmadia_1994_note_ramsey_type_problem_geometry https://erdosproblems.ai/wiki/library/distance_problems/csizmadia_1994_note_ramsey_type_problem_geometry/conjecture_p306 https://erdosproblems.ai/wiki/library/distance_problems/csizmadia_1994_note_ramsey_type_problem_geometry/covered_arc https://erdosproblems.ai/wiki/library/distance_problems/csizmadia_1994_note_ramsey_type_problem_geometry/covering_radius_lemma https://erdosproblems.ai/wiki/library/distance_problems/csizmadia_1994_note_ramsey_type_problem_geometry/external_inputs https://erdosproblems.ai/wiki/library/distance_problems/csizmadia_1994_note_ramsey_type_problem_geometry/metric_bounds https://erdosproblems.ai/wiki/library/distance_problems/csizmadia_1994_note_ramsey_type_problem_geometry/moon_localization https://erdosproblems.ai/wiki/library/distance_problems/csizmadia_1994_note_ramsey_type_problem_geometry/proposition_2 https://erdosproblems.ai/wiki/library/distance_problems/csizmadia_1994_note_ramsey_type_problem_geometry/standard_coloring https://erdosproblems.ai/wiki/library/distance_problems/csizmadia_1994_note_ramsey_type_problem_geometry/theorem_1 https://erdosproblems.ai/wiki/library/distance_problems/dumitrescu_2006_distinct_distances_vertex_convex_polygon https://erdosproblems.ai/wiki/library/distance_problems/dumitrescu_2006_distinct_distances_vertex_convex_polygon/theorem_2 https://erdosproblems.ai/wiki/library/distance_problems/dumitrescu_2008_distinct_distances_points_general_position https://erdosproblems.ai/wiki/library/distance_problems/dumitrescu_2008_distinct_distances_points_general_position/theorem_1 https://erdosproblems.ai/wiki/library/distance_problems/dumitrescu_2008_distinct_distances_points_general_position/theorem_2 https://erdosproblems.ai/wiki/library/distance_problems/dumitrescu_2008_distinct_distances_points_general_position/theorem_3 https://erdosproblems.ai/wiki/library/distance_problems/dumitrescu_2009_extremal_problems_triangle_areas_two_three https://erdosproblems.ai/wiki/library/distance_problems/dumitrescu_2009_extremal_problems_triangle_areas_two_three/theorem_1 https://erdosproblems.ai/wiki/library/distance_problems/dumitrescu_2009_extremal_problems_triangle_areas_two_three/theorem_10 https://erdosproblems.ai/wiki/library/distance_problems/dumitrescu_2009_extremal_problems_triangle_areas_two_three/theorem_11 https://erdosproblems.ai/wiki/library/distance_problems/dumitrescu_2009_extremal_problems_triangle_areas_two_three/theorem_12 https://erdosproblems.ai/wiki/library/distance_problems/dumitrescu_2009_extremal_problems_triangle_areas_two_three/theorem_13 https://erdosproblems.ai/wiki/library/distance_problems/dumitrescu_2009_extremal_problems_triangle_areas_two_three/theorem_2 https://erdosproblems.ai/wiki/library/distance_problems/dumitrescu_2009_extremal_problems_triangle_areas_two_three/theorem_3 https://erdosproblems.ai/wiki/library/distance_problems/dumitrescu_2009_extremal_problems_triangle_areas_two_three/theorem_4 https://erdosproblems.ai/wiki/library/distance_problems/dumitrescu_2009_extremal_problems_triangle_areas_two_three/theorem_5 https://erdosproblems.ai/wiki/library/distance_problems/dumitrescu_2009_extremal_problems_triangle_areas_two_three/theorem_6 https://erdosproblems.ai/wiki/library/distance_problems/dumitrescu_2009_extremal_problems_triangle_areas_two_three/theorem_7 https://erdosproblems.ai/wiki/library/distance_problems/dumitrescu_2009_extremal_problems_triangle_areas_two_three/theorem_8 https://erdosproblems.ai/wiki/library/distance_problems/dumitrescu_2009_extremal_problems_triangle_areas_two_three/theorem_9 https://erdosproblems.ai/wiki/library/distance_problems/dumitrescu_2019_product_inequality_extreme_distances https://erdosproblems.ai/wiki/library/distance_problems/edelsbrunner_1991_lower_bound_number_unit_distances_convex_polygon https://erdosproblems.ai/wiki/library/distance_problems/edelsbrunner_1991_lower_bound_number_unit_distances_convex_polygon/lemma_p314 https://erdosproblems.ai/wiki/library/distance_problems/edelsbrunner_1991_lower_bound_number_unit_distances_convex_polygon/theorem_p312 https://erdosproblems.ai/wiki/library/distance_problems/erdos_1946_sets_distances_points https://erdosproblems.ai/wiki/library/distance_problems/erdos_1946_sets_distances_points/conjecture_p248 https://erdosproblems.ai/wiki/library/distance_problems/erdos_1946_sets_distances_points/theorem_1 https://erdosproblems.ai/wiki/library/distance_problems/erdos_1946_sets_distances_points/theorem_2 https://erdosproblems.ai/wiki/library/distance_problems/erdos_1946_sets_distances_points/theorem_3 https://erdosproblems.ai/wiki/library/distance_problems/erdos_1960_sets_distances_points_euclidean_space https://erdosproblems.ai/wiki/library/distance_problems/erdos_1960_sets_distances_points_euclidean_space/inequality_2 https://erdosproblems.ai/wiki/library/distance_problems/erdos_1960_sets_distances_points_euclidean_space/theorem_p166 https://erdosproblems.ai/wiki/library/distance_problems/erdos_1967_applications_graph_theory_geometry https://erdosproblems.ai/wiki/library/distance_problems/erdos_1967_applications_graph_theory_geometry/lemma_p969 https://erdosproblems.ai/wiki/library/distance_problems/erdos_1967_applications_graph_theory_geometry/theorem_1 https://erdosproblems.ai/wiki/library/distance_problems/erdos_1967_applications_graph_theory_geometry/theorem_2 https://erdosproblems.ai/wiki/library/distance_problems/erdos_1967_applications_graph_theory_geometry/theorem_3 https://erdosproblems.ai/wiki/library/distance_problems/erdos_1970_distinct_distances_between_lattice_points https://erdosproblems.ai/wiki/library/distance_problems/erdos_1970_distinct_distances_between_lattice_points/inequality_1 https://erdosproblems.ai/wiki/library/distance_problems/erdos_1970_distinct_distances_between_lattice_points/inequality_2 https://erdosproblems.ai/wiki/library/distance_problems/erdos_1970_distinct_distances_between_lattice_points/inequality_4 https://erdosproblems.ai/wiki/library/distance_problems/erdos_1970_distinct_distances_between_lattice_points/inequality_7 https://erdosproblems.ai/wiki/library/distance_problems/erdos_1971_extremal_problems_geometry https://erdosproblems.ai/wiki/library/distance_problems/erdos_1971_extremal_problems_geometry/question_p251 https://erdosproblems.ai/wiki/library/distance_problems/erdos_1971_extremal_problems_geometry/theorem_1 https://erdosproblems.ai/wiki/library/distance_problems/erdos_1971_extremal_problems_geometry/theorem_2 https://erdosproblems.ai/wiki/library/distance_problems/erdos_1971_extremal_problems_geometry/theorem_3 https://erdosproblems.ai/wiki/library/distance_problems/erdos_1975_problems_elementary_combinatorial_geometry https://erdosproblems.ai/wiki/library/distance_problems/erdos_1975_problems_elementary_combinatorial_geometry/conjecture_p108 https://erdosproblems.ai/wiki/library/distance_problems/erdos_1975_problems_elementary_combinatorial_geometry/question_p106 https://erdosproblems.ai/wiki/library/distance_problems/erdos_1975_problems_elementary_combinatorial_geometry/section_1_convex_polygons_p100 https://erdosproblems.ai/wiki/library/distance_problems/erdos_1975_problems_elementary_combinatorial_geometry/section_1_higher_dimensions_p101 https://erdosproblems.ai/wiki/library/distance_problems/erdos_1975_problems_elementary_combinatorial_geometry/section_1_inequality_1 https://erdosproblems.ai/wiki/library/distance_problems/erdos_1975_problems_elementary_combinatorial_geometry/section_1_inequality_2 https://erdosproblems.ai/wiki/library/distance_problems/erdos_1975_problems_elementary_combinatorial_geometry/section_2_unit_distances_p102 https://erdosproblems.ai/wiki/library/distance_problems/erdos_1975_problems_elementary_combinatorial_geometry/section_3_f_n_k_p104 https://erdosproblems.ai/wiki/library/distance_problems/erdos_1975_problems_elementary_combinatorial_geometry/section_3_kelly_g_n_k_p105 https://erdosproblems.ai/wiki/library/distance_problems/erdos_1983_combinatorial_problems_geometry https://erdosproblems.ai/wiki/library/distance_problems/erdos_1983_combinatorial_problems_geometry/conjecture_p44 https://erdosproblems.ai/wiki/library/distance_problems/erdos_1983_combinatorial_problems_geometry/conjecture_p46 https://erdosproblems.ai/wiki/library/distance_problems/erdos_1983_combinatorial_problems_geometry/conjecture_p53 https://erdosproblems.ai/wiki/library/distance_problems/erdos_1983_combinatorial_problems_geometry/problem_p38 https://erdosproblems.ai/wiki/library/distance_problems/erdos_1983_combinatorial_problems_geometry/problem_p43 https://erdosproblems.ai/wiki/library/distance_problems/erdos_1983_combinatorial_problems_geometry/problem_p45 https://erdosproblems.ai/wiki/library/distance_problems/erdos_1983_combinatorial_problems_geometry/problem_p47 https://erdosproblems.ai/wiki/library/distance_problems/erdos_1983_combinatorial_problems_geometry/problem_p49 https://erdosproblems.ai/wiki/library/distance_problems/erdos_1983_combinatorial_problems_geometry/problem_p51 https://erdosproblems.ai/wiki/library/distance_problems/erdos_1983_combinatorial_problems_geometry/problem_p52 https://erdosproblems.ai/wiki/library/distance_problems/erdos_1983_combinatorial_problems_geometry/problem_p54 https://erdosproblems.ai/wiki/library/distance_problems/erdos_1983_combinatorial_problems_geometry/question_p53 https://erdosproblems.ai/wiki/library/distance_problems/erdos_1983_combinatorial_problems_geometry/theorem_p42 https://erdosproblems.ai/wiki/library/distance_problems/erdos_1983_combinatorial_problems_geometry/theorem_p47 https://erdosproblems.ai/wiki/library/distance_problems/erdos_1984_old_new_problems_combinatorial_geometry https://erdosproblems.ai/wiki/library/distance_problems/erdos_1984_old_new_problems_combinatorial_geometry/conjecture_p135 https://erdosproblems.ai/wiki/library/distance_problems/erdos_1984_old_new_problems_combinatorial_geometry/question_p135 https://erdosproblems.ai/wiki/library/distance_problems/erdos_1985_problems_results_combinatorial_geometry https://erdosproblems.ai/wiki/library/distance_problems/erdos_1985_problems_results_combinatorial_geometry/conjecture_p2 https://erdosproblems.ai/wiki/library/distance_problems/erdos_1985_problems_results_combinatorial_geometry/conjecture_p4 https://erdosproblems.ai/wiki/library/distance_problems/erdos_1985_problems_results_combinatorial_geometry/theorem_p2_line_counts https://erdosproblems.ai/wiki/library/distance_problems/erdos_1985_problems_results_combinatorial_geometry/theorem_p2_ulam_metric https://erdosproblems.ai/wiki/library/distance_problems/erdos_1989_problem_leo_moser_about_repeated_distances https://erdosproblems.ai/wiki/library/distance_problems/erdos_1989_problem_leo_moser_about_repeated_distances/theorem_1 https://erdosproblems.ai/wiki/library/distance_problems/erdos_1989_problem_leo_moser_about_repeated_distances/theorem_2 https://erdosproblems.ai/wiki/library/distance_problems/erdos_1989_problem_leo_moser_about_repeated_distances/theorem_3 https://erdosproblems.ai/wiki/library/distance_problems/erdos_1994_postscript_distances_convex_gons https://erdosproblems.ai/wiki/library/distance_problems/erdos_1994_postscript_distances_convex_gons/inequality_p116 https://erdosproblems.ai/wiki/library/distance_problems/erdos_1994_postscript_distances_convex_gons/theorem_p112 https://erdosproblems.ai/wiki/library/distance_problems/erdos_1994_some_problems_number_theory_combinatorics_combinatorial_geometry https://erdosproblems.ai/wiki/library/distance_problems/erdos_fishburn_1995_multiplicities_interpoint_distances_finite_planar_sets https://erdosproblems.ai/wiki/library/distance_problems/erdos_fishburn_1995_multiplicities_interpoint_distances_finite_planar_sets/conjecture_4 https://erdosproblems.ai/wiki/library/distance_problems/erdos_fishburn_1995_multiplicities_interpoint_distances_finite_planar_sets/theorem_2 https://erdosproblems.ai/wiki/library/distance_problems/erdos_fishburn_1995_multiplicities_interpoint_distances_finite_planar_sets/theorem_3 https://erdosproblems.ai/wiki/library/distance_problems/erdos_fishburn_1995_multiplicities_interpoint_distances_finite_planar_sets/theorem_4 https://erdosproblems.ai/wiki/library/distance_problems/erdos_fishburn_1995_multiplicities_interpoint_distances_finite_planar_sets/theorem_5 https://erdosproblems.ai/wiki/library/distance_problems/erdos_fishburn_1996_maximum_planar_sets_that_determine_k_distances https://erdosproblems.ai/wiki/library/distance_problems/erdos_fishburn_1996_maximum_planar_sets_that_determine_k_distances/lemma_1 https://erdosproblems.ai/wiki/library/distance_problems/erdos_fishburn_1996_maximum_planar_sets_that_determine_k_distances/lemma_2 https://erdosproblems.ai/wiki/library/distance_problems/erdos_fishburn_1996_maximum_planar_sets_that_determine_k_distances/theorem_1 https://erdosproblems.ai/wiki/library/distance_problems/feng_2026_semi_autonomous_mathematics_discovery_gemini_case https://erdosproblems.ai/wiki/library/distance_problems/feng_2026_semi_autonomous_mathematics_discovery_gemini_case/solution_p10 https://erdosproblems.ai/wiki/library/distance_problems/feng_2026_semi_autonomous_mathematics_discovery_gemini_case/solution_p18 https://erdosproblems.ai/wiki/library/distance_problems/feng_2026_semi_autonomous_mathematics_discovery_gemini_case/solution_p22 https://erdosproblems.ai/wiki/library/distance_problems/feng_2026_semi_autonomous_mathematics_discovery_gemini_case/solution_p24 https://erdosproblems.ai/wiki/library/distance_problems/feng_2026_semi_autonomous_mathematics_discovery_gemini_case/source_digest https://erdosproblems.ai/wiki/library/distance_problems/feng_2026_semi_autonomous_mathematics_discovery_gemini_case/theorem_14 https://erdosproblems.ai/wiki/library/distance_problems/feng_2026_semi_autonomous_mathematics_discovery_gemini_case/theorem_2 https://erdosproblems.ai/wiki/library/distance_problems/feng_2026_semi_autonomous_mathematics_discovery_gemini_case/theorem_3 https://erdosproblems.ai/wiki/library/distance_problems/feng_2026_semi_autonomous_mathematics_discovery_gemini_case/theorem_4 https://erdosproblems.ai/wiki/library/distance_problems/feng_2026_semi_autonomous_mathematics_discovery_gemini_case/theorem_5 https://erdosproblems.ai/wiki/library/distance_problems/fishburn_1995_convex_polygons_few_intervertex_distances https://erdosproblems.ai/wiki/library/distance_problems/fishburn_1995_convex_polygons_few_intervertex_distances/lemma_1 https://erdosproblems.ai/wiki/library/distance_problems/fishburn_1995_convex_polygons_few_intervertex_distances/proposition_1 https://erdosproblems.ai/wiki/library/distance_problems/fishburn_1995_convex_polygons_few_intervertex_distances/theorem_1 https://erdosproblems.ai/wiki/library/distance_problems/fishburn_1995_convex_polygons_few_intervertex_distances/theorem_2 https://erdosproblems.ai/wiki/library/distance_problems/fishburn_1995_convex_polygons_few_intervertex_distances/theorem_3 https://erdosproblems.ai/wiki/library/distance_problems/fox_2016_more_distinct_distances_local_conditions https://erdosproblems.ai/wiki/library/distance_problems/fox_2016_more_distinct_distances_local_conditions/d_n_3_3_bounds_pp1_2 https://erdosproblems.ai/wiki/library/distance_problems/fox_2016_more_distinct_distances_local_conditions/theorem_1 https://erdosproblems.ai/wiki/library/distance_problems/furedi_1990_maximum_number_unit_distances_convex_n_gon https://erdosproblems.ai/wiki/library/distance_problems/furedi_1990_maximum_number_unit_distances_convex_n_gon/corollary_2_3 https://erdosproblems.ai/wiki/library/distance_problems/furedi_1990_maximum_number_unit_distances_convex_n_gon/lemma_2_1 https://erdosproblems.ai/wiki/library/distance_problems/furedi_1990_maximum_number_unit_distances_convex_n_gon/remark_1_2 https://erdosproblems.ai/wiki/library/distance_problems/furedi_1990_maximum_number_unit_distances_convex_n_gon/theorem_1_1 https://erdosproblems.ai/wiki/library/distance_problems/gasarch_2025_monochromatic_unit_squares_exposition_open_problems https://erdosproblems.ai/wiki/library/distance_problems/gasarch_2025_monochromatic_unit_squares_exposition_open_problems/open_problem_6_16 https://erdosproblems.ai/wiki/library/distance_problems/gasarch_2025_monochromatic_unit_squares_exposition_open_problems/theorem_4_1 https://erdosproblems.ai/wiki/library/distance_problems/gasarch_2025_monochromatic_unit_squares_exposition_open_problems/theorem_5_1 https://erdosproblems.ai/wiki/library/distance_problems/gasarch_2025_monochromatic_unit_squares_exposition_open_problems/theorem_6_1 https://erdosproblems.ai/wiki/library/distance_problems/gasarch_2025_monochromatic_unit_squares_exposition_open_problems/theorem_7_2 https://erdosproblems.ai/wiki/library/distance_problems/gasarch_2025_monochromatic_unit_squares_exposition_open_problems/theorem_8_1 https://erdosproblems.ai/wiki/library/distance_problems/gasarch_2025_monochromatic_unit_squares_exposition_open_problems/theorem_8_3 https://erdosproblems.ai/wiki/library/distance_problems/ge_2026_two_distance_set_277_points_23_dimensions https://erdosproblems.ai/wiki/library/distance_problems/ge_2026_two_distance_set_277_points_23_dimensions/intro_midpoint_construction https://erdosproblems.ai/wiki/library/distance_problems/ge_2026_two_distance_set_277_points_23_dimensions/lemma_2 https://erdosproblems.ai/wiki/library/distance_problems/ge_2026_two_distance_set_277_points_23_dimensions/theorem_1 https://erdosproblems.ai/wiki/library/distance_problems/ghosal_2025_subsets_lattice_cubes_avoiding_affine_spherical_degeneracies https://erdosproblems.ai/wiki/library/distance_problems/ghosal_2025_subsets_lattice_cubes_avoiding_affine_spherical_degeneracies/corollary_1_4 https://erdosproblems.ai/wiki/library/distance_problems/ghosal_2025_subsets_lattice_cubes_avoiding_affine_spherical_degeneracies/corollary_1_6 https://erdosproblems.ai/wiki/library/distance_problems/ghosal_2025_subsets_lattice_cubes_avoiding_affine_spherical_degeneracies/theorem_1_1 https://erdosproblems.ai/wiki/library/distance_problems/ghosal_2025_subsets_lattice_cubes_avoiding_affine_spherical_degeneracies/theorem_1_2 https://erdosproblems.ai/wiki/library/distance_problems/ghosal_2025_subsets_lattice_cubes_avoiding_affine_spherical_degeneracies/theorem_1_3 https://erdosproblems.ai/wiki/library/distance_problems/ghosal_2025_subsets_lattice_cubes_avoiding_affine_spherical_degeneracies/theorem_1_5 https://erdosproblems.ai/wiki/library/distance_problems/graham_1994_recent_trends_euclidean_ramsey_theory https://erdosproblems.ai/wiki/library/distance_problems/graham_1994_recent_trends_euclidean_ramsey_theory/conjecture_p120 https://erdosproblems.ai/wiki/library/distance_problems/graham_1994_recent_trends_euclidean_ramsey_theory/conjecture_p127 https://erdosproblems.ai/wiki/library/distance_problems/graham_1994_recent_trends_euclidean_ramsey_theory/example_p124 https://erdosproblems.ai/wiki/library/distance_problems/graham_1994_recent_trends_euclidean_ramsey_theory/section_6 https://erdosproblems.ai/wiki/library/distance_problems/graham_1994_recent_trends_euclidean_ramsey_theory/theorem_p122 https://erdosproblems.ai/wiki/library/distance_problems/graham_2004_euclidean_ramsey_theory https://erdosproblems.ai/wiki/library/distance_problems/graham_2004_euclidean_ramsey_theory/conjecture_11_1_1 https://erdosproblems.ai/wiki/library/distance_problems/graham_2004_euclidean_ramsey_theory/conjecture_11_5_6 https://erdosproblems.ai/wiki/library/distance_problems/graham_2004_euclidean_ramsey_theory/problem_11_1_6 https://erdosproblems.ai/wiki/library/distance_problems/graham_2004_euclidean_ramsey_theory/theorem_11_1_4 https://erdosproblems.ai/wiki/library/distance_problems/graham_2004_euclidean_ramsey_theory/theorem_11_1_5 https://erdosproblems.ai/wiki/library/distance_problems/graham_2004_euclidean_ramsey_theory/theorem_11_2_5 https://erdosproblems.ai/wiki/library/distance_problems/graham_2004_euclidean_ramsey_theory/theorem_11_5_9 https://erdosproblems.ai/wiki/library/distance_problems/graham_2004_euclidean_ramsey_theory/theorem_11_6_4 https://erdosproblems.ai/wiki/library/distance_problems/graham_2004_euclidean_ramsey_theory/theorem_p11 https://erdosproblems.ai/wiki/library/distance_problems/graham_2010_open_problems_euclidean_ramsey_theory https://erdosproblems.ai/wiki/library/distance_problems/graham_2010_open_problems_euclidean_ramsey_theory/conjecture_1 https://erdosproblems.ai/wiki/library/distance_problems/graham_2010_open_problems_euclidean_ramsey_theory/conjecture_2 https://erdosproblems.ai/wiki/library/distance_problems/graham_2010_open_problems_euclidean_ramsey_theory/conjecture_3 https://erdosproblems.ai/wiki/library/distance_problems/graham_2010_open_problems_euclidean_ramsey_theory/conjecture_4 https://erdosproblems.ai/wiki/library/distance_problems/graham_2010_open_problems_euclidean_ramsey_theory/counterexample_p4 https://erdosproblems.ai/wiki/library/distance_problems/graham_2010_open_problems_euclidean_ramsey_theory/theorem_1 https://erdosproblems.ai/wiki/library/distance_problems/graham_2010_open_problems_euclidean_ramsey_theory/theorem_2 https://erdosproblems.ai/wiki/library/distance_problems/graham_2010_open_problems_euclidean_ramsey_theory/unit_distance_survey_p3 https://erdosproblems.ai/wiki/library/distance_problems/grayzel_2026_solution_problem_erdos_concerning_distances_points https://erdosproblems.ai/wiki/library/distance_problems/grayzel_2026_solution_problem_erdos_concerning_distances_points/corollary_4 https://erdosproblems.ai/wiki/library/distance_problems/grayzel_2026_solution_problem_erdos_concerning_distances_points/lemma_6 https://erdosproblems.ai/wiki/library/distance_problems/grayzel_2026_solution_problem_erdos_concerning_distances_points/lemma_7 https://erdosproblems.ai/wiki/library/distance_problems/grayzel_2026_solution_problem_erdos_concerning_distances_points/lemma_8 https://erdosproblems.ai/wiki/library/distance_problems/grayzel_2026_solution_problem_erdos_concerning_distances_points/theorem_1 https://erdosproblems.ai/wiki/library/distance_problems/grayzel_2026_solution_problem_erdos_concerning_distances_points/theorem_5 https://erdosproblems.ai/wiki/library/distance_problems/greenfeld_2024_integer_distance_sets https://erdosproblems.ai/wiki/library/distance_problems/greenfeld_2024_integer_distance_sets/corollary_1_3 https://erdosproblems.ai/wiki/library/distance_problems/greenfeld_2024_integer_distance_sets/corollary_1_7 https://erdosproblems.ai/wiki/library/distance_problems/greenfeld_2024_integer_distance_sets/theorem_1_1 https://erdosproblems.ai/wiki/library/distance_problems/guth_2015_erdos_distinct_distance_problem_plane https://erdosproblems.ai/wiki/library/distance_problems/guth_2015_erdos_distinct_distance_problem_plane/proposition_2_2 https://erdosproblems.ai/wiki/library/distance_problems/guth_2015_erdos_distinct_distance_problem_plane/theorem_1_1 https://erdosproblems.ai/wiki/library/distance_problems/guth_2015_erdos_distinct_distance_problem_plane/theorem_1_2 https://erdosproblems.ai/wiki/library/distance_problems/guth_2015_erdos_distinct_distance_problem_plane/theorem_4_5 https://erdosproblems.ai/wiki/library/distance_problems/ho_2026_erdos_s_diameter_conjecture_separated_distances https://erdosproblems.ai/wiki/library/distance_problems/janzer_2024_tight_bounds_intersection_reverse_sequences_edge https://erdosproblems.ai/wiki/library/distance_problems/janzer_2024_tight_bounds_intersection_reverse_sequences_edge/corollary_1_11 https://erdosproblems.ai/wiki/library/distance_problems/janzer_2024_tight_bounds_intersection_reverse_sequences_edge/corollary_1_12 https://erdosproblems.ai/wiki/library/distance_problems/janzer_2024_tight_bounds_intersection_reverse_sequences_edge/corollary_1_8 https://erdosproblems.ai/wiki/library/distance_problems/janzer_2024_tight_bounds_intersection_reverse_sequences_edge/theorem_1_13 https://erdosproblems.ai/wiki/library/distance_problems/janzer_2024_tight_bounds_intersection_reverse_sequences_edge/theorem_1_14 https://erdosproblems.ai/wiki/library/distance_problems/janzer_2024_tight_bounds_intersection_reverse_sequences_edge/theorem_1_5 https://erdosproblems.ai/wiki/library/distance_problems/janzer_2024_tight_bounds_intersection_reverse_sequences_edge/theorem_1_6 https://erdosproblems.ai/wiki/library/distance_problems/juhasz_1979_ramsey_type_theorems_plane https://erdosproblems.ai/wiki/library/distance_problems/juhasz_1979_ramsey_type_theorems_plane/definitions https://erdosproblems.ai/wiki/library/distance_problems/juhasz_1979_ramsey_type_theorems_plane/lemma_1 https://erdosproblems.ai/wiki/library/distance_problems/juhasz_1979_ramsey_type_theorems_plane/lemma_2 https://erdosproblems.ai/wiki/library/distance_problems/juhasz_1979_ramsey_type_theorems_plane/lemma_3 https://erdosproblems.ai/wiki/library/distance_problems/juhasz_1979_ramsey_type_theorems_plane/lemma_4 https://erdosproblems.ai/wiki/library/distance_problems/juhasz_1979_ramsey_type_theorems_plane/radius_sequence https://erdosproblems.ai/wiki/library/distance_problems/juhasz_1979_ramsey_type_theorems_plane/theorem_1 https://erdosproblems.ai/wiki/library/distance_problems/juhasz_1979_ramsey_type_theorems_plane/theorem_2 https://erdosproblems.ai/wiki/library/distance_problems/katz_2004_new_entropy_inequality_erdos_distance_problem https://erdosproblems.ai/wiki/library/distance_problems/katz_2004_new_entropy_inequality_erdos_distance_problem/corollary_5 https://erdosproblems.ai/wiki/library/distance_problems/katz_2004_new_entropy_inequality_erdos_distance_problem/corollary_6 https://erdosproblems.ai/wiki/library/distance_problems/katz_2004_new_entropy_inequality_erdos_distance_problem/lemma_1 https://erdosproblems.ai/wiki/library/distance_problems/katz_2004_new_entropy_inequality_erdos_distance_problem/theorem_4 https://erdosproblems.ai/wiki/library/distance_problems/kovacs_2024_note_erdos_s_mysterious_remark https://erdosproblems.ai/wiki/library/distance_problems/kreisel_2008_there_are_integral_heptagons_no_three https://erdosproblems.ai/wiki/library/distance_problems/kreisel_2008_there_are_integral_heptagons_no_three/example_p3 https://erdosproblems.ai/wiki/library/distance_problems/kreisel_2008_there_are_integral_heptagons_no_three/question_p4 https://erdosproblems.ai/wiki/library/distance_problems/kreisel_2008_there_are_integral_heptagons_no_three/theorem_1 https://erdosproblems.ai/wiki/library/distance_problems/mathialagan_2021_bipartite_distinct_distances_plane https://erdosproblems.ai/wiki/library/distance_problems/mathialagan_2021_bipartite_distinct_distances_plane/corollary_37 https://erdosproblems.ai/wiki/library/distance_problems/mathialagan_2021_bipartite_distinct_distances_plane/evidence https://erdosproblems.ai/wiki/library/distance_problems/mathialagan_2021_bipartite_distinct_distances_plane/evidence/verify https://erdosproblems.ai/wiki/library/distance_problems/mathialagan_2021_bipartite_distinct_distances_plane/evidence/verify/final_review https://erdosproblems.ai/wiki/library/distance_problems/mathialagan_2021_bipartite_distinct_distances_plane/evidence/verify/finalization_delta_review https://erdosproblems.ai/wiki/library/distance_problems/mathialagan_2021_bipartite_distinct_distances_plane/evidence/verify/preparatory_review https://erdosproblems.ai/wiki/library/distance_problems/mathialagan_2021_bipartite_distinct_distances_plane/incidence_inputs https://erdosproblems.ai/wiki/library/distance_problems/mathialagan_2021_bipartite_distinct_distances_plane/lemma_25 https://erdosproblems.ai/wiki/library/distance_problems/mathialagan_2021_bipartite_distinct_distances_plane/lemma_26 https://erdosproblems.ai/wiki/library/distance_problems/mathialagan_2021_bipartite_distinct_distances_plane/lemma_34 https://erdosproblems.ai/wiki/library/distance_problems/mathialagan_2021_bipartite_distinct_distances_plane/proposition_19 https://erdosproblems.ai/wiki/library/distance_problems/mathialagan_2021_bipartite_distinct_distances_plane/proposition_20 https://erdosproblems.ai/wiki/library/distance_problems/mathialagan_2021_bipartite_distinct_distances_plane/proposition_21 https://erdosproblems.ai/wiki/library/distance_problems/mathialagan_2021_bipartite_distinct_distances_plane/proposition_27 https://erdosproblems.ai/wiki/library/distance_problems/mathialagan_2021_bipartite_distinct_distances_plane/proposition_28 https://erdosproblems.ai/wiki/library/distance_problems/mathialagan_2021_bipartite_distinct_distances_plane/proposition_36 https://erdosproblems.ai/wiki/library/distance_problems/mathialagan_2021_bipartite_distinct_distances_plane/proposition_40 https://erdosproblems.ai/wiki/library/distance_problems/mathialagan_2021_bipartite_distinct_distances_plane/proposition_42 https://erdosproblems.ai/wiki/library/distance_problems/mathialagan_2021_bipartite_distinct_distances_plane/proposition_6 https://erdosproblems.ai/wiki/library/distance_problems/mathialagan_2021_bipartite_distinct_distances_plane/theorem_1 https://erdosproblems.ai/wiki/library/distance_problems/mathialagan_2021_bipartite_distinct_distances_plane/theorem_14 https://erdosproblems.ai/wiki/library/distance_problems/mathialagan_2021_bipartite_distinct_distances_plane/theorem_3 https://erdosproblems.ai/wiki/library/distance_problems/mathialagan_2021_bipartite_distinct_distances_plane/theorem_4 https://erdosproblems.ai/wiki/library/distance_problems/moree_2006_two_dimensional_lattices_few_distances https://erdosproblems.ai/wiki/library/distance_problems/moree_2006_two_dimensional_lattices_few_distances/theorem_1 https://erdosproblems.ai/wiki/library/distance_problems/moree_2006_two_dimensional_lattices_few_distances/theorem_5 https://erdosproblems.ai/wiki/library/distance_problems/mysticflounder_2026_shared_radius_residual https://erdosproblems.ai/wiki/library/distance_problems/mysticflounder_2026_shared_radius_residual/mysticflounder_2026_shared_radius_residual https://erdosproblems.ai/wiki/library/distance_problems/myzelev_2024_characterization_colorings_obtained_method_szlam https://erdosproblems.ai/wiki/library/distance_problems/myzelev_2024_characterization_colorings_obtained_method_szlam/lemma_1_3 https://erdosproblems.ai/wiki/library/distance_problems/myzelev_2024_characterization_colorings_obtained_method_szlam/theorem_3_1 https://erdosproblems.ai/wiki/library/distance_problems/nivasch_2013_number_distinct_distances_vertex_convex_polygon https://erdosproblems.ai/wiki/library/distance_problems/nivasch_2013_number_distinct_distances_vertex_convex_polygon/lemma_2 https://erdosproblems.ai/wiki/library/distance_problems/nivasch_2013_number_distinct_distances_vertex_convex_polygon/theorem_1 https://erdosproblems.ai/wiki/library/distance_problems/nivasch_2013_number_distinct_distances_vertex_convex_polygon/theorem_9 https://erdosproblems.ai/wiki/library/distance_problems/openai_2026_higher_dimensional_erdos_distinct_distances_conjecture https://erdosproblems.ai/wiki/library/distance_problems/openai_2026_higher_dimensional_erdos_distinct_distances_conjecture/theorem_1_1 https://erdosproblems.ai/wiki/library/distance_problems/openai_2026_higher_dimensional_erdos_distinct_distances_conjecture/theorem_b_12 https://erdosproblems.ai/wiki/library/distance_problems/openai_2026_power_saving_planar_unit_distances https://erdosproblems.ai/wiki/library/distance_problems/openai_2026_power_saving_planar_unit_distances/theorem_1_1 https://erdosproblems.ai/wiki/library/distance_problems/openai_2026_weak_pinned_planar_distance_theorem https://erdosproblems.ai/wiki/library/distance_problems/openai_2026_weak_pinned_planar_distance_theorem/corollary_1_2 https://erdosproblems.ai/wiki/library/distance_problems/openai_2026_weak_pinned_planar_distance_theorem/theorem_1_1 https://erdosproblems.ai/wiki/library/distance_problems/pach_2002_isosceles_triangles_determined_planar_point_set https://erdosproblems.ai/wiki/library/distance_problems/pach_2002_isosceles_triangles_determined_planar_point_set/theorem_1 https://erdosproblems.ai/wiki/library/distance_problems/pach_2002_isosceles_triangles_determined_planar_point_set/theorem_2 https://erdosproblems.ai/wiki/library/distance_problems/petrov_2021_remark_sets_few_distances https://erdosproblems.ai/wiki/library/distance_problems/petrov_2021_remark_sets_few_distances/theorem_1_1 https://erdosproblems.ai/wiki/library/distance_problems/petrov_2021_remark_sets_few_distances/theorem_1_2 https://erdosproblems.ai/wiki/library/distance_problems/raz_2017_number_unit_area_triangles_plane_theme https://erdosproblems.ai/wiki/library/distance_problems/raz_2017_number_unit_area_triangles_plane_theme/theorem_1 https://erdosproblems.ai/wiki/library/distance_problems/raz_2017_number_unit_area_triangles_plane_theme/theorem_11 https://erdosproblems.ai/wiki/library/distance_problems/raz_2017_number_unit_area_triangles_plane_theme/theorem_8 https://erdosproblems.ai/wiki/library/distance_problems/sallerk_2026_convex_nonagon_relations https://erdosproblems.ai/wiki/library/distance_problems/sallerk_2026_convex_nonagon_relations/evidence https://erdosproblems.ai/wiki/library/distance_problems/sallerk_2026_convex_nonagon_relations/evidence/verify https://erdosproblems.ai/wiki/library/distance_problems/sallerk_2026_convex_nonagon_relations/evidence/verify/nonagon_review https://erdosproblems.ai/wiki/library/distance_problems/sallerk_2026_convex_nonagon_relations/nonagon_from_relations https://erdosproblems.ai/wiki/library/distance_problems/sallerk_2026_convex_nonagon_relations/sallerk_2026_convex_nonagon_relations https://erdosproblems.ai/wiki/library/distance_problems/shaffaf_2018_solution_erdos_ulam_problem_rational_distance https://erdosproblems.ai/wiki/library/distance_problems/shaffaf_2018_solution_erdos_ulam_problem_rational_distance/corollary_1 https://erdosproblems.ai/wiki/library/distance_problems/shaffaf_2018_solution_erdos_ulam_problem_rational_distance/theorem_1 https://erdosproblems.ai/wiki/library/distance_problems/shaffaf_2018_solution_erdos_ulam_problem_rational_distance/theorem_2 https://erdosproblems.ai/wiki/library/distance_problems/sheffer_2014_distinct_distances_open_problems_current_bounds https://erdosproblems.ai/wiki/library/distance_problems/sheffer_2014_distinct_distances_open_problems_current_bounds/lemma_3_1 https://erdosproblems.ai/wiki/library/distance_problems/sheffer_2014_distinct_distances_open_problems_current_bounds/problem_1 https://erdosproblems.ai/wiki/library/distance_problems/sheffer_2014_distinct_distances_open_problems_current_bounds/problem_10 https://erdosproblems.ai/wiki/library/distance_problems/sheffer_2014_distinct_distances_open_problems_current_bounds/problem_15 https://erdosproblems.ai/wiki/library/distance_problems/sheffer_2014_distinct_distances_open_problems_current_bounds/problem_2 https://erdosproblems.ai/wiki/library/distance_problems/sheffer_2014_distinct_distances_open_problems_current_bounds/problem_22 https://erdosproblems.ai/wiki/library/distance_problems/sheffer_2014_distinct_distances_open_problems_current_bounds/problem_25 https://erdosproblems.ai/wiki/library/distance_problems/sheffer_2014_distinct_distances_open_problems_current_bounds/problem_26 https://erdosproblems.ai/wiki/library/distance_problems/sheffer_2014_distinct_distances_open_problems_current_bounds/problem_28 https://erdosproblems.ai/wiki/library/distance_problems/sheffer_2014_distinct_distances_open_problems_current_bounds/problem_29 https://erdosproblems.ai/wiki/library/distance_problems/sheffer_2014_distinct_distances_open_problems_current_bounds/problem_31 https://erdosproblems.ai/wiki/library/distance_problems/sheffer_2014_distinct_distances_open_problems_current_bounds/problem_36 https://erdosproblems.ai/wiki/library/distance_problems/sheffer_2014_distinct_distances_open_problems_current_bounds/problem_7 https://erdosproblems.ai/wiki/library/distance_problems/sheffer_2014_distinct_distances_open_problems_current_bounds/problem_8 https://erdosproblems.ai/wiki/library/distance_problems/shinohara_2004_classification_three_distance_sets_two_dimensional_euclidean_space https://erdosproblems.ai/wiki/library/distance_problems/shinohara_2004_classification_three_distance_sets_two_dimensional_euclidean_space/theorem_1 https://erdosproblems.ai/wiki/library/distance_problems/shinohara_2004_classification_three_distance_sets_two_dimensional_euclidean_space/theorem_2 https://erdosproblems.ai/wiki/library/distance_problems/shinohara_2008_uniqueness_maximum_planar_five_distance_sets https://erdosproblems.ai/wiki/library/distance_problems/shinohara_2008_uniqueness_maximum_planar_five_distance_sets/proposition_3_1 https://erdosproblems.ai/wiki/library/distance_problems/shinohara_2008_uniqueness_maximum_planar_five_distance_sets/theorem_1_1 https://erdosproblems.ai/wiki/library/distance_problems/shinohara_2008_uniqueness_maximum_planar_five_distance_sets/theorem_1_2 https://erdosproblems.ai/wiki/library/distance_problems/solymosi_2008_near_optimal_bounds_erdos_distinct_distances_high_dimensions https://erdosproblems.ai/wiki/library/distance_problems/solymosi_2008_near_optimal_bounds_erdos_distinct_distances_high_dimensions/corollary_1_2 https://erdosproblems.ai/wiki/library/distance_problems/solymosi_2008_near_optimal_bounds_erdos_distinct_distances_high_dimensions/corollary_1_3 https://erdosproblems.ai/wiki/library/distance_problems/solymosi_2008_near_optimal_bounds_erdos_distinct_distances_high_dimensions/corollary_1_4 https://erdosproblems.ai/wiki/library/distance_problems/solymosi_2008_near_optimal_bounds_erdos_distinct_distances_high_dimensions/theorem_1_1 https://erdosproblems.ai/wiki/library/distance_problems/solymosi_2008_near_optimal_bounds_erdos_distinct_distances_high_dimensions/theorem_2_1 https://erdosproblems.ai/wiki/library/distance_problems/solymosi_2008_near_optimal_bounds_erdos_distinct_distances_high_dimensions/theorem_2_2 https://erdosproblems.ai/wiki/library/distance_problems/solymosi_2010_question_erdos_ulam https://erdosproblems.ai/wiki/library/distance_problems/solymosi_2010_question_erdos_ulam/corollary_2_3 https://erdosproblems.ai/wiki/library/distance_problems/solymosi_2010_question_erdos_ulam/theorem_2_1 https://erdosproblems.ai/wiki/library/distance_problems/solymosi_2010_question_erdos_ulam/theorem_2_2 https://erdosproblems.ai/wiki/library/distance_problems/sothanaphan_2026_compact_poissonbessel_proof_integer_distance_free https://erdosproblems.ai/wiki/library/distance_problems/sothanaphan_2026_compact_poissonbessel_proof_integer_distance_free/lemma_1_1 https://erdosproblems.ai/wiki/library/distance_problems/sothanaphan_2026_compact_poissonbessel_proof_integer_distance_free/lemma_1_2 https://erdosproblems.ai/wiki/library/distance_problems/sothanaphan_2026_compact_poissonbessel_proof_integer_distance_free/proposition_1_3 https://erdosproblems.ai/wiki/library/distance_problems/sothanaphan_2026_compact_poissonbessel_proof_integer_distance_free/theorem_2_1 https://erdosproblems.ai/wiki/library/distance_problems/swanepoel_2004_unit_distance_problem_spheres https://erdosproblems.ai/wiki/library/distance_problems/swanepoel_2004_unit_distance_problem_spheres/theorem_1 https://erdosproblems.ai/wiki/library/distance_problems/swanepoel_2004_unit_distance_problem_spheres/theorem_2 https://erdosproblems.ai/wiki/library/distance_problems/swanepoel_2009_unit_distances_diameters_euclidean_spaces https://erdosproblems.ai/wiki/library/distance_problems/swanepoel_2009_unit_distances_diameters_euclidean_spaces/corollary_2 https://erdosproblems.ai/wiki/library/distance_problems/swanepoel_2009_unit_distances_diameters_euclidean_spaces/corollary_3 https://erdosproblems.ai/wiki/library/distance_problems/swanepoel_2009_unit_distances_diameters_euclidean_spaces/corollary_6 https://erdosproblems.ai/wiki/library/distance_problems/swanepoel_2009_unit_distances_diameters_euclidean_spaces/definition_p2 https://erdosproblems.ai/wiki/library/distance_problems/swanepoel_2009_unit_distances_diameters_euclidean_spaces/theorem_1 https://erdosproblems.ai/wiki/library/distance_problems/swanepoel_2009_unit_distances_diameters_euclidean_spaces/theorem_4 https://erdosproblems.ai/wiki/library/distance_problems/swanepoel_2009_unit_distances_diameters_euclidean_spaces/theorem_5 https://erdosproblems.ai/wiki/library/distance_problems/swanepoel_2013_favorite_distances_high_dimensions https://erdosproblems.ai/wiki/library/distance_problems/swanepoel_2013_favorite_distances_high_dimensions/theorem_a https://erdosproblems.ai/wiki/library/distance_problems/swanepoel_2013_favorite_distances_high_dimensions/theorem_b https://erdosproblems.ai/wiki/library/distance_problems/swanepoel_2013_favorite_distances_high_dimensions/theorem_c https://erdosproblems.ai/wiki/library/distance_problems/szlam_2001_monochromatic_translates_configurations_plane https://erdosproblems.ai/wiki/library/distance_problems/szlam_2001_monochromatic_translates_configurations_plane/proposition_2 https://erdosproblems.ai/wiki/library/distance_problems/szlam_2001_monochromatic_translates_configurations_plane/theorem_1 https://erdosproblems.ai/wiki/library/distance_problems/szlam_2001_monochromatic_translates_configurations_plane/theorem_2 https://erdosproblems.ai/wiki/library/distance_problems/szlam_2001_monochromatic_translates_configurations_plane/theorem_3 https://erdosproblems.ai/wiki/library/distance_problems/tao_2024_planar_point_sets_forbidden_4_point https://erdosproblems.ai/wiki/library/distance_problems/tao_2024_planar_point_sets_forbidden_4_point/remark_1_8 https://erdosproblems.ai/wiki/library/distance_problems/tao_2024_planar_point_sets_forbidden_4_point/theorem_1_2 https://erdosproblems.ai/wiki/library/distance_problems/tao_2024_planar_point_sets_forbidden_4_point/theorem_1_3 https://erdosproblems.ai/wiki/library/distance_problems/vesztergombi_1987_bounds_number_small_distances_finite_planar_set https://erdosproblems.ai/wiki/library/distance_problems/vesztergombi_1987_bounds_number_small_distances_finite_planar_set/construction_pp99_100 https://erdosproblems.ai/wiki/library/distance_problems/vesztergombi_1987_bounds_number_small_distances_finite_planar_set/definitions https://erdosproblems.ai/wiki/library/distance_problems/vesztergombi_1987_bounds_number_small_distances_finite_planar_set/evidence https://erdosproblems.ai/wiki/library/distance_problems/vesztergombi_1987_bounds_number_small_distances_finite_planar_set/evidence/verify https://erdosproblems.ai/wiki/library/distance_problems/vesztergombi_1987_bounds_number_small_distances_finite_planar_set/evidence/verify/final_review https://erdosproblems.ai/wiki/library/distance_problems/vesztergombi_1987_bounds_number_small_distances_finite_planar_set/evidence/verify/finalization_delta_review https://erdosproblems.ai/wiki/library/distance_problems/vesztergombi_1987_bounds_number_small_distances_finite_planar_set/evidence/verify/preparatory_review https://erdosproblems.ai/wiki/library/distance_problems/vesztergombi_1987_bounds_number_small_distances_finite_planar_set/lemma_1 https://erdosproblems.ai/wiki/library/distance_problems/vesztergombi_1987_bounds_number_small_distances_finite_planar_set/lemma_2 https://erdosproblems.ai/wiki/library/distance_problems/vesztergombi_1987_bounds_number_small_distances_finite_planar_set/lemma_3 https://erdosproblems.ai/wiki/library/distance_problems/vesztergombi_1987_bounds_number_small_distances_finite_planar_set/proposition_p96 https://erdosproblems.ai/wiki/library/distance_problems/vesztergombi_1987_bounds_number_small_distances_finite_planar_set/theorem_p100 https://erdosproblems.ai/wiki/library/distance_problems/vesztergombi_1987_bounds_number_small_distances_finite_planar_set/theorem_p99 https://erdosproblems.ai/wiki/library/distance_problems/vesztergombi_1987_large_distances_planar_sets https://erdosproblems.ai/wiki/library/distance_problems/vesztergombi_1987_large_distances_planar_sets/construction_pp197_198 https://erdosproblems.ai/wiki/library/distance_problems/vesztergombi_1987_large_distances_planar_sets/theorem_p192 https://erdosproblems.ai/wiki/library/divisors https://erdosproblems.ai/wiki/library/divisors/ahlswede_1994_extremal_sets_without_coprimes https://erdosproblems.ai/wiki/library/divisors/ahlswede_1995_maximal_sets_numbers_not_containing_pairwise https://erdosproblems.ai/wiki/library/divisors/ahlswede_1996_sets_integers_pairwise_common_divisor_factor https://erdosproblems.ai/wiki/library/divisors/alexander_nd_density_multiplicative_structure_sets_integers https://erdosproblems.ai/wiki/library/divisors/alexeev_2025_independence_clique_cover_numbers_squarefree_graph https://erdosproblems.ai/wiki/library/divisors/benkoski_1974_weird_pseudoperfect_numbers https://erdosproblems.ai/wiki/library/divisors/benkoski_1974_weird_pseudoperfect_numbers/theorem_1 https://erdosproblems.ai/wiki/library/divisors/benkoski_1974_weird_pseudoperfect_numbers/theorem_2 https://erdosproblems.ai/wiki/library/divisors/biro_2016_upper_bound_extremal_version_hajnal_s https://erdosproblems.ai/wiki/library/divisors/biro_2016_upper_bound_extremal_version_hajnal_s/theorem_2 https://erdosproblems.ai/wiki/library/divisors/biro_2016_upper_bound_extremal_version_hajnal_s/theorem_3 https://erdosproblems.ai/wiki/library/divisors/cambie_2025_resolution_erdos_problems_about_unimodularity https://erdosproblems.ai/wiki/library/divisors/cambie_2025_resolution_erdos_problems_about_unimodularity/claim_4 https://erdosproblems.ai/wiki/library/divisors/cambie_2025_resolution_erdos_problems_about_unimodularity/claim_6 https://erdosproblems.ai/wiki/library/divisors/cambie_2025_resolution_erdos_problems_about_unimodularity/example_3_6_8 https://erdosproblems.ai/wiki/library/divisors/cambie_2025_resolution_erdos_problems_about_unimodularity/theorem_1 https://erdosproblems.ai/wiki/library/divisors/cambie_2025_resolution_erdos_problems_about_unimodularity/theorem_3 https://erdosproblems.ai/wiki/library/divisors/cambie_2025_resolution_erdos_problems_about_unimodularity/theorem_5 https://erdosproblems.ai/wiki/library/divisors/chan_2014_factors_perfect_square https://erdosproblems.ai/wiki/library/divisors/chan_2015_factors_almost_squares_lattice_points_circles https://erdosproblems.ai/wiki/library/divisors/chan_2015_factors_almost_squares_lattice_points_circles/theorem_2 https://erdosproblems.ai/wiki/library/divisors/chan_2015_factors_almost_squares_lattice_points_circles/theorem_3 https://erdosproblems.ai/wiki/library/divisors/chan_2015_factors_almost_squares_lattice_points_circles/theorem_4 https://erdosproblems.ai/wiki/library/divisors/davenport_1951_sequences_positive_integers https://erdosproblems.ai/wiki/library/divisors/davenport_1951_sequences_positive_integers/main_theorem https://erdosproblems.ai/wiki/library/divisors/davenport_1951_sequences_positive_integers/remark_p19 https://erdosproblems.ai/wiki/library/divisors/doorn_2026_practical_numbers_egyptian_fractions https://erdosproblems.ai/wiki/library/divisors/doorn_2026_practical_numbers_egyptian_fractions/proposition_4_1 https://erdosproblems.ai/wiki/library/divisors/doorn_2026_practical_numbers_egyptian_fractions/theorem_1_1 https://erdosproblems.ai/wiki/library/divisors/doorn_2026_practical_numbers_egyptian_fractions/theorem_1_2 https://erdosproblems.ai/wiki/library/divisors/doorn_2026_practical_numbers_egyptian_fractions/theorem_1_3 https://erdosproblems.ai/wiki/library/divisors/eberhard_2025_ratios_consecutive_values_divisor_function https://erdosproblems.ai/wiki/library/divisors/eberhard_2025_ratios_consecutive_values_divisor_function/evidence https://erdosproblems.ai/wiki/library/divisors/eberhard_2025_ratios_consecutive_values_divisor_function/evidence/verify https://erdosproblems.ai/wiki/library/divisors/eberhard_2025_ratios_consecutive_values_divisor_function/evidence/verify/divisor_ratio_commentary_correction https://erdosproblems.ai/wiki/library/divisors/eberhard_2025_ratios_consecutive_values_divisor_function/evidence/verify/divisor_ratio_grade https://erdosproblems.ai/wiki/library/divisors/eberhard_2025_ratios_consecutive_values_divisor_function/evidence/verify/divisor_ratio_review https://erdosproblems.ai/wiki/library/divisors/eberhard_2025_ratios_consecutive_values_divisor_function/evidence/verify/divisor_ratio_source_reading https://erdosproblems.ai/wiki/library/divisors/eberhard_2025_ratios_consecutive_values_divisor_function/main_theorem https://erdosproblems.ai/wiki/library/divisors/eberhard_2025_ratios_consecutive_values_divisor_function/theorem_1 https://erdosproblems.ai/wiki/library/divisors/erdos_1935_note_sequences_integers_no_one_which https://erdosproblems.ai/wiki/library/divisors/erdos_1935_note_sequences_integers_no_one_which/theorem_p126 https://erdosproblems.ai/wiki/library/divisors/erdos_1935_note_sequences_integers_no_one_which/theorem_p127 https://erdosproblems.ai/wiki/library/divisors/erdos_1944_highly_composite_numbers https://erdosproblems.ai/wiki/library/divisors/erdos_1944_highly_composite_numbers/question_p130 https://erdosproblems.ai/wiki/library/divisors/erdos_1944_highly_composite_numbers/theorem https://erdosproblems.ai/wiki/library/divisors/erdos_1952_distribution_values_divisor_function https://erdosproblems.ai/wiki/library/divisors/erdos_1952_distribution_values_divisor_function/theorem_i https://erdosproblems.ai/wiki/library/divisors/erdos_1952_distribution_values_divisor_function/theorem_ii https://erdosproblems.ai/wiki/library/divisors/erdos_1952_distribution_values_divisor_function/theorem_iii https://erdosproblems.ai/wiki/library/divisors/erdos_1952_distribution_values_divisor_function/theorem_iv https://erdosproblems.ai/wiki/library/divisors/erdos_1952_distribution_values_divisor_function/theorem_v https://erdosproblems.ai/wiki/library/divisors/erdos_1952_distribution_values_divisor_function/theorem_vi https://erdosproblems.ai/wiki/library/divisors/erdos_1964_applications_probability_analysis_number_theory https://erdosproblems.ai/wiki/library/divisors/erdos_1964_applications_probability_analysis_number_theory/item_1 https://erdosproblems.ai/wiki/library/divisors/erdos_1964_applications_probability_analysis_number_theory/item_2 https://erdosproblems.ai/wiki/library/divisors/erdos_1966_divisibility_properties_sequences_integers https://erdosproblems.ai/wiki/library/divisors/erdos_1966_divisibility_properties_sequences_integers/conjecture_5 https://erdosproblems.ai/wiki/library/divisors/erdos_1966_divisibility_properties_sequences_integers/theorem_1 https://erdosproblems.ai/wiki/library/divisors/erdos_1966_divisibility_properties_sequences_integers/theorem_2 https://erdosproblems.ai/wiki/library/divisors/erdos_1967_theorem_behrend https://erdosproblems.ai/wiki/library/divisors/erdos_1967_theorem_behrend/theorem_1 https://erdosproblems.ai/wiki/library/divisors/erdos_1967_theorem_behrend/theorem_2 https://erdosproblems.ai/wiki/library/divisors/erdos_1967_theorem_behrend/theorem_3 https://erdosproblems.ai/wiki/library/divisors/erdos_1968_solvability_certain_equations_sequences_positive_upper https://erdosproblems.ai/wiki/library/divisors/erdos_1968_solvability_certain_equations_sequences_positive_upper/theorem_1 https://erdosproblems.ai/wiki/library/divisors/erdos_1968_solvability_certain_equations_sequences_positive_upper/theorem_2 https://erdosproblems.ai/wiki/library/divisors/erdos_1970_extremal_problems_combinatorial_number_theory https://erdosproblems.ai/wiki/library/divisors/erdos_1970_extremal_problems_combinatorial_number_theory/theorem_1 https://erdosproblems.ai/wiki/library/divisors/erdos_1970_extremal_problems_combinatorial_number_theory/theorem_2 https://erdosproblems.ai/wiki/library/divisors/erdos_1970_extremal_problems_combinatorial_number_theory/theorem_p127 https://erdosproblems.ai/wiki/library/divisors/erdos_1970_extremal_problems_combinatorial_number_theory/theorem_p130 https://erdosproblems.ai/wiki/library/divisors/erdos_1978_unconventional_problems_divisors_integers https://erdosproblems.ai/wiki/library/divisors/erdos_1978_unconventional_problems_divisors_integers/theorem_1 https://erdosproblems.ai/wiki/library/divisors/erdos_1978_unconventional_problems_divisors_integers/theorem_2 https://erdosproblems.ai/wiki/library/divisors/erdos_1978_unconventional_problems_divisors_integers/theorem_3 https://erdosproblems.ai/wiki/library/divisors/erdos_1978_unconventional_problems_divisors_integers/theorem_4 https://erdosproblems.ai/wiki/library/divisors/erdos_1979_propinquity_divisors https://erdosproblems.ai/wiki/library/divisors/erdos_1979_propinquity_divisors/theorem_p304 https://erdosproblems.ai/wiki/library/divisors/erdos_1979_unconventional_problems_number_theory_asterisque https://erdosproblems.ai/wiki/library/divisors/erdos_1980_asymptotic_formulas_generalized_divisor_functions https://erdosproblems.ai/wiki/library/divisors/erdos_1980_asymptotic_formulas_generalized_divisor_functions/corollary_1 https://erdosproblems.ai/wiki/library/divisors/erdos_1980_asymptotic_formulas_generalized_divisor_functions/corollary_2 https://erdosproblems.ai/wiki/library/divisors/erdos_1980_asymptotic_formulas_generalized_divisor_functions/problem_2 https://erdosproblems.ai/wiki/library/divisors/erdos_1980_asymptotic_formulas_generalized_divisor_functions/theorem_1 https://erdosproblems.ai/wiki/library/divisors/erdos_1980_asymptotic_formulas_generalized_divisor_functions/theorem_2 https://erdosproblems.ai/wiki/library/divisors/erdos_1980_asymptotic_formulas_generalized_divisor_functions/theorem_3 https://erdosproblems.ai/wiki/library/divisors/erdos_1981_sur_la_structure_de_la_suite https://erdosproblems.ai/wiki/library/divisors/erdos_1981_sur_la_structure_de_la_suite/theorem_1 https://erdosproblems.ai/wiki/library/divisors/erdos_1981_sur_la_structure_de_la_suite/theorem_2 https://erdosproblems.ai/wiki/library/divisors/erdos_1981_sur_la_structure_de_la_suite/theorem_3 https://erdosproblems.ai/wiki/library/divisors/erdos_1997_factor_difference_set_integers https://erdosproblems.ai/wiki/library/divisors/erdos_1999_greedy_algorithm_arithmetic_progressions_subset_sums https://erdosproblems.ai/wiki/library/divisors/erdos_1999_greedy_algorithm_arithmetic_progressions_subset_sums/bound_p128 https://erdosproblems.ai/wiki/library/divisors/erdos_1999_greedy_algorithm_arithmetic_progressions_subset_sums/corollary_2 https://erdosproblems.ai/wiki/library/divisors/erdos_1999_greedy_algorithm_arithmetic_progressions_subset_sums/theorem_5 https://erdosproblems.ai/wiki/library/divisors/fang_2022_searching_boundary_abundance_odd_weird_numbers https://erdosproblems.ai/wiki/library/divisors/fang_2022_searching_boundary_abundance_odd_weird_numbers/theorem_1_1 https://erdosproblems.ai/wiki/library/divisors/fang_2022_searching_boundary_abundance_odd_weird_numbers/theorem_1_2 https://erdosproblems.ai/wiki/library/divisors/ford_2008_distribution_integers_divisor_given_interval https://erdosproblems.ai/wiki/library/divisors/ford_2008_distribution_integers_divisor_given_interval/corollary_2 https://erdosproblems.ai/wiki/library/divisors/ford_2008_distribution_integers_divisor_given_interval/corollary_3 https://erdosproblems.ai/wiki/library/divisors/ford_2008_distribution_integers_divisor_given_interval/corollary_5 https://erdosproblems.ai/wiki/library/divisors/ford_2008_distribution_integers_divisor_given_interval/corollary_7 https://erdosproblems.ai/wiki/library/divisors/ford_2008_distribution_integers_divisor_given_interval/theorem_1 https://erdosproblems.ai/wiki/library/divisors/ford_2008_distribution_integers_divisor_given_interval/theorem_2 https://erdosproblems.ai/wiki/library/divisors/ford_2008_distribution_integers_divisor_given_interval/theorem_3 https://erdosproblems.ai/wiki/library/divisors/ford_2008_distribution_integers_divisor_given_interval/theorem_4 https://erdosproblems.ai/wiki/library/divisors/ford_2008_distribution_integers_divisor_given_interval/theorem_5 https://erdosproblems.ai/wiki/library/divisors/ford_2008_distribution_integers_divisor_given_interval/theorem_6 https://erdosproblems.ai/wiki/library/divisors/ford_2008_distribution_integers_divisor_given_interval/theorem_7 https://erdosproblems.ai/wiki/library/divisors/gorodetsky_2024_erdos_sums_almost_primes https://erdosproblems.ai/wiki/library/divisors/gorodetsky_2024_erdos_sums_almost_primes/proposition_4_1 https://erdosproblems.ai/wiki/library/divisors/gorodetsky_2024_erdos_sums_almost_primes/theorem_1_1 https://erdosproblems.ai/wiki/library/divisors/gorodetsky_2024_erdos_sums_almost_primes/theorem_1_2 https://erdosproblems.ai/wiki/library/divisors/gorodetsky_2024_erdos_sums_almost_primes/theorem_1_3 https://erdosproblems.ai/wiki/library/divisors/gorodetsky_2024_erdos_sums_almost_primes/theorem_1_6 https://erdosproblems.ai/wiki/library/divisors/hildebrand_1987_divisor_function_at_consecutive_integers https://erdosproblems.ai/wiki/library/divisors/hildebrand_1987_divisor_function_at_consecutive_integers/lemma_1 https://erdosproblems.ai/wiki/library/divisors/hildebrand_1987_divisor_function_at_consecutive_integers/theorem_1 https://erdosproblems.ai/wiki/library/divisors/hildebrand_1987_divisor_function_at_consecutive_integers/theorem_2 https://erdosproblems.ai/wiki/library/divisors/hildebrand_1987_divisor_function_at_consecutive_integers/theorem_3 https://erdosproblems.ai/wiki/library/divisors/hildebrand_1987_divisor_function_at_consecutive_integers/theorem_4 https://erdosproblems.ai/wiki/library/divisors/hildebrand_1987_divisor_function_at_consecutive_integers/theorem_5 https://erdosproblems.ai/wiki/library/divisors/hughes_2026_sums_distinct_divisors_factorials https://erdosproblems.ai/wiki/library/divisors/hughes_2026_sums_distinct_divisors_factorials/lemma_4 https://erdosproblems.ai/wiki/library/divisors/hughes_2026_sums_distinct_divisors_factorials/remark_6 https://erdosproblems.ai/wiki/library/divisors/hughes_2026_sums_distinct_divisors_factorials/theorem_1 https://erdosproblems.ai/wiki/library/divisors/hughes_2026_sums_distinct_divisors_factorials/theorem_2 https://erdosproblems.ai/wiki/library/divisors/jenw1n_2026_lean_proof_erdos_problem_18b https://erdosproblems.ai/wiki/library/divisors/jenw1n_2026_lean_proof_erdos_problem_18b/jenw1n_2026_lean_proof_erdos_problem_18b https://erdosproblems.ai/wiki/library/divisors/jenw1n_2026_lean_proof_erdos_problem_18b/target https://erdosproblems.ai/wiki/library/divisors/koukoulopoulos_2025_erdos_s_integer_dilation_approximation_problem https://erdosproblems.ai/wiki/library/divisors/koukoulopoulos_2025_erdos_s_integer_dilation_approximation_problem/theorem_1 https://erdosproblems.ai/wiki/library/divisors/koukoulopoulos_2025_erdos_s_integer_dilation_approximation_problem/theorem_4_1 https://erdosproblems.ai/wiki/library/divisors/kovac_2025_number_divisors_mersenne_numbers https://erdosproblems.ai/wiki/library/divisors/kovac_2025_number_divisors_mersenne_numbers/proposition_2 https://erdosproblems.ai/wiki/library/divisors/kovac_2025_number_divisors_mersenne_numbers/theorem_1 https://erdosproblems.ai/wiki/library/divisors/kovac_2025_number_divisors_mersenne_numbers/theorem_3 https://erdosproblems.ai/wiki/library/divisors/letendre_2025_divisors_integer_short_interval https://erdosproblems.ai/wiki/library/divisors/letendre_2025_divisors_integer_short_interval/conjecture_1 https://erdosproblems.ai/wiki/library/divisors/letendre_2025_divisors_integer_short_interval/proposition_1 https://erdosproblems.ai/wiki/library/divisors/letendre_2025_divisors_integer_short_interval/theorem_1 https://erdosproblems.ai/wiki/library/divisors/letendre_2025_divisors_integer_short_interval/theorem_2 https://erdosproblems.ai/wiki/library/divisors/lichtman_2020_almost_primes_banks_martin_conjecture https://erdosproblems.ai/wiki/library/divisors/lichtman_2020_almost_primes_banks_martin_conjecture/theorem_2_1 https://erdosproblems.ai/wiki/library/divisors/lichtman_2020_almost_primes_banks_martin_conjecture/theorem_2_2 https://erdosproblems.ai/wiki/library/divisors/lichtman_2020_almost_primes_banks_martin_conjecture/theorem_5_3 https://erdosproblems.ai/wiki/library/divisors/lichtman_2022_proof_erdos_primitive_set_conjecture https://erdosproblems.ai/wiki/library/divisors/lichtman_2022_proof_erdos_primitive_set_conjecture/theorem_1_10 https://erdosproblems.ai/wiki/library/divisors/lichtman_2022_proof_erdos_primitive_set_conjecture/theorem_1_2 https://erdosproblems.ai/wiki/library/divisors/lichtman_2022_proof_erdos_primitive_set_conjecture/theorem_1_3 https://erdosproblems.ai/wiki/library/divisors/lichtman_2022_proof_erdos_primitive_set_conjecture/theorem_1_5 https://erdosproblems.ai/wiki/library/divisors/lichtman_2022_proof_erdos_primitive_set_conjecture/theorem_1_8 https://erdosproblems.ai/wiki/library/divisors/maier_1984_set_divisors_integer https://erdosproblems.ai/wiki/library/divisors/maier_1984_set_divisors_integer/theorem_1 https://erdosproblems.ai/wiki/library/divisors/maier_1984_set_divisors_integer/theorem_2 https://erdosproblems.ai/wiki/library/divisors/melfi_2015_conditional_infiniteness_primitive_weird_numbers https://erdosproblems.ai/wiki/library/divisors/melfi_2015_conditional_infiniteness_primitive_weird_numbers/theorem_1 https://erdosproblems.ai/wiki/library/divisors/nicolas_1971_repartition_des_nombres_hautement_composes https://erdosproblems.ai/wiki/library/divisors/nicolas_1971_repartition_des_nombres_hautement_composes/conjecture_p117 https://erdosproblems.ai/wiki/library/divisors/nicolas_1971_repartition_des_nombres_hautement_composes/theorem_1 https://erdosproblems.ai/wiki/library/divisors/nicolas_1971_repartition_des_nombres_hautement_composes/theorem_2 https://erdosproblems.ai/wiki/library/divisors/nicolas_1971_repartition_des_nombres_hautement_composes/theorem_3 https://erdosproblems.ai/wiki/library/divisors/nicolas_1971_repartition_des_nombres_hautement_composes/theorem_4 https://erdosproblems.ai/wiki/library/divisors/nicolas_1971_repartition_des_nombres_hautement_composes/theorem_5 https://erdosproblems.ai/wiki/library/divisors/price_2026_sparse_divisor_sums https://erdosproblems.ai/wiki/library/divisors/price_2026_sparse_divisor_sums/price_2026_sparse_divisor_sums https://erdosproblems.ai/wiki/library/divisors/tenenbaum_1984_sur_la_probabilite_qu_un https://erdosproblems.ai/wiki/library/divisors/tenenbaum_1984_sur_la_probabilite_qu_un/problem_p246 https://erdosproblems.ai/wiki/library/divisors/tenenbaum_1984_sur_la_probabilite_qu_un/theorem_1 https://erdosproblems.ai/wiki/library/divisors/tenenbaum_1984_sur_la_probabilite_qu_un/theorem_2 https://erdosproblems.ai/wiki/library/divisors/tenenbaum_1984_sur_la_probabilite_qu_un/theorem_3 https://erdosproblems.ai/wiki/library/divisors/tenenbaum_1986_sur_un_probleme_de_crible_et https://erdosproblems.ai/wiki/library/divisors/tenenbaum_1986_sur_un_probleme_de_crible_et/lemma_2_2 https://erdosproblems.ai/wiki/library/divisors/tenenbaum_1986_sur_un_probleme_de_crible_et/lemma_7_1 https://erdosproblems.ai/wiki/library/divisors/tenenbaum_1986_sur_un_probleme_de_crible_et/theorem_1 https://erdosproblems.ai/wiki/library/divisors/tenenbaum_1986_sur_un_probleme_de_crible_et/theorem_2 https://erdosproblems.ai/wiki/library/divisors/tenenbaum_1986_sur_un_probleme_de_crible_et/theorem_3 https://erdosproblems.ai/wiki/library/divisors/tenenbaum_1986_sur_un_probleme_de_crible_et/theorem_4 https://erdosproblems.ai/wiki/library/divisors/tenenbaum_1995_sur_un_probleme_de_crible_et https://erdosproblems.ai/wiki/library/divisors/tenenbaum_1995_sur_un_probleme_de_crible_et/corollary_1 https://erdosproblems.ai/wiki/library/divisors/tenenbaum_1995_sur_un_probleme_de_crible_et/corollary_2 https://erdosproblems.ai/wiki/library/divisors/tenenbaum_1995_sur_un_probleme_de_crible_et/estimate_2_1 https://erdosproblems.ai/wiki/library/divisors/tenenbaum_1995_sur_un_probleme_de_crible_et/lemma_2_1 https://erdosproblems.ai/wiki/library/divisors/tenenbaum_1995_sur_un_probleme_de_crible_et/theorem_1 https://erdosproblems.ai/wiki/library/divisors/tenenbaum_2013_erdos_unconventional_problems_number_theory https://erdosproblems.ai/wiki/library/divisors/tenenbaum_2013_erdos_unconventional_problems_number_theory/equation_1 https://erdosproblems.ai/wiki/library/divisors/tenenbaum_2013_erdos_unconventional_problems_number_theory/equation_15 https://erdosproblems.ai/wiki/library/divisors/tenenbaum_2013_erdos_unconventional_problems_number_theory/equation_27 https://erdosproblems.ai/wiki/library/divisors/tenenbaum_2013_erdos_unconventional_problems_number_theory/estimate_p9 https://erdosproblems.ai/wiki/library/divisors/tenenbaum_2013_erdos_unconventional_problems_number_theory/theorem_1 https://erdosproblems.ai/wiki/library/divisors/tenenbaum_2013_erdos_unconventional_problems_number_theory/theorem_2 https://erdosproblems.ai/wiki/library/divisors/tenenbaum_2013_erdos_unconventional_problems_number_theory/theorem_3 https://erdosproblems.ai/wiki/library/divisors/tenenbaum_2013_erdos_unconventional_problems_number_theory/theorem_4 https://erdosproblems.ai/wiki/library/divisors/weingartner_2015_practical_numbers_distribution_divisors https://erdosproblems.ai/wiki/library/divisors/weingartner_2015_practical_numbers_distribution_divisors/corollary_1 https://erdosproblems.ai/wiki/library/divisors/weingartner_2015_practical_numbers_distribution_divisors/theorem_1 https://erdosproblems.ai/wiki/library/divisors/weingartner_2015_practical_numbers_distribution_divisors/theorem_2 https://erdosproblems.ai/wiki/library/divisors/weingartner_2015_practical_numbers_distribution_divisors/theorem_3 https://erdosproblems.ai/wiki/library/divisors/weingartner_2019_constant_factor_asymptotic_practical_numbers https://erdosproblems.ai/wiki/library/divisors/weingartner_2019_constant_factor_asymptotic_practical_numbers/lemma_2 https://erdosproblems.ai/wiki/library/divisors/weingartner_2019_constant_factor_asymptotic_practical_numbers/lemma_4 https://erdosproblems.ai/wiki/library/divisors/weingartner_2019_constant_factor_asymptotic_practical_numbers/theorem_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory https://erdosproblems.ai/wiki/library/extremal_graph_theory/adamczewski_2026_erdos548 https://erdosproblems.ai/wiki/library/extremal_graph_theory/adamczewski_2026_erdos548/evidence https://erdosproblems.ai/wiki/library/extremal_graph_theory/adamczewski_2026_erdos548/evidence/verify https://erdosproblems.ai/wiki/library/extremal_graph_theory/adamczewski_2026_erdos548/evidence/verify/proof_chain_review https://erdosproblems.ai/wiki/library/extremal_graph_theory/adamczewski_2026_erdos548/evidence/verify/proof_chain_review_fresh https://erdosproblems.ai/wiki/library/extremal_graph_theory/adamczewski_2026_erdos548/evidence/verify/proof_chain_review_grade_fresh https://erdosproblems.ai/wiki/library/extremal_graph_theory/adamczewski_2026_erdos548/evidence/verify/two_tree_grade https://erdosproblems.ai/wiki/library/extremal_graph_theory/adamczewski_2026_erdos548/evidence/verify/two_tree_review https://erdosproblems.ai/wiki/library/extremal_graph_theory/adamczewski_2026_erdos548/evidence/verify/two_tree_source_reading https://erdosproblems.ai/wiki/library/extremal_graph_theory/adamczewski_2026_erdos548/lemma_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/adamczewski_2026_erdos548/lemma_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/adamczewski_2026_erdos548/marked_cut_count https://erdosproblems.ai/wiki/library/extremal_graph_theory/adamczewski_2026_erdos548/rooted_word_bound https://erdosproblems.ai/wiki/library/extremal_graph_theory/adamczewski_2026_erdos548/star_sharpness https://erdosproblems.ai/wiki/library/extremal_graph_theory/adamczewski_2026_erdos548/theorem_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/adamczewski_2026_erdos548/tree_ramsey_corollary https://erdosproblems.ai/wiki/library/extremal_graph_theory/adamczewski_2026_erdos548/two_tree_corollary https://erdosproblems.ai/wiki/library/extremal_graph_theory/adamczewski_2026_erdos571 https://erdosproblems.ai/wiki/library/extremal_graph_theory/adamczewski_2026_erdos571/base_model https://erdosproblems.ai/wiki/library/extremal_graph_theory/adamczewski_2026_erdos571/finite_coefficient_obstruction https://erdosproblems.ai/wiki/library/extremal_graph_theory/adamczewski_2026_erdos571/finite_selection https://erdosproblems.ai/wiki/library/extremal_graph_theory/adamczewski_2026_erdos571/generic_rooted_fibers https://erdosproblems.ai/wiki/library/extremal_graph_theory/adamczewski_2026_erdos571/good_paths https://erdosproblems.ai/wiki/library/extremal_graph_theory/adamczewski_2026_erdos571/heavy_common_neighborhood https://erdosproblems.ai/wiki/library/extremal_graph_theory/adamczewski_2026_erdos571/heavy_path_assembly https://erdosproblems.ai/wiki/library/extremal_graph_theory/adamczewski_2026_erdos571/heavy_path_pruning https://erdosproblems.ai/wiki/library/extremal_graph_theory/adamczewski_2026_erdos571/historical_methods https://erdosproblems.ai/wiki/library/extremal_graph_theory/adamczewski_2026_erdos571/hub_path_operations https://erdosproblems.ai/wiki/library/extremal_graph_theory/adamczewski_2026_erdos571/lemma_5_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/adamczewski_2026_erdos571/light_path_count https://erdosproblems.ai/wiki/library/extremal_graph_theory/adamczewski_2026_erdos571/polynomial_compactness https://erdosproblems.ai/wiki/library/extremal_graph_theory/adamczewski_2026_erdos571/polynomial_interpolation https://erdosproblems.ai/wiki/library/extremal_graph_theory/adamczewski_2026_erdos571/proposition_2_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/adamczewski_2026_erdos571/proposition_2_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/adamczewski_2026_erdos571/proposition_4_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/adamczewski_2026_erdos571/proposition_4_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/adamczewski_2026_erdos571/regularization https://erdosproblems.ai/wiki/library/extremal_graph_theory/adamczewski_2026_erdos571/rooted_graphs https://erdosproblems.ai/wiki/library/extremal_graph_theory/adamczewski_2026_erdos571/rooted_union_balance https://erdosproblems.ai/wiki/library/extremal_graph_theory/adamczewski_2026_erdos571/suffix_fans https://erdosproblems.ai/wiki/library/extremal_graph_theory/adamczewski_2026_erdos571/suspension_upper_bound https://erdosproblems.ai/wiki/library/extremal_graph_theory/adamczewski_2026_erdos571/theorem_1_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/ajtai_1981_longest_path_random_graph https://erdosproblems.ai/wiki/library/extremal_graph_theory/ajtai_1981_longest_path_random_graph/theorem_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/ajtai_1981_longest_path_random_graph/theorem_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/ajtai_1981_turan_s_theorem_sparse_graphs https://erdosproblems.ai/wiki/library/extremal_graph_theory/ajtai_1981_turan_s_theorem_sparse_graphs/conjecture_3 https://erdosproblems.ai/wiki/library/extremal_graph_theory/ajtai_1981_turan_s_theorem_sparse_graphs/lemma_p315 https://erdosproblems.ai/wiki/library/extremal_graph_theory/ajtai_1981_turan_s_theorem_sparse_graphs/theorem_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/ajtai_1981_turan_s_theorem_sparse_graphs/theorem_1_prime https://erdosproblems.ai/wiki/library/extremal_graph_theory/ajtai_1981_turan_s_theorem_sparse_graphs/theorem_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/alavi_1987_vertex_independence_sequence_graph_is_not https://erdosproblems.ai/wiki/library/extremal_graph_theory/alavi_1987_vertex_independence_sequence_graph_is_not/example_p21 https://erdosproblems.ai/wiki/library/extremal_graph_theory/alavi_1987_vertex_independence_sequence_graph_is_not/problem_3 https://erdosproblems.ai/wiki/library/extremal_graph_theory/alavi_1987_vertex_independence_sequence_graph_is_not/theorem_p16 https://erdosproblems.ai/wiki/library/extremal_graph_theory/allen_2021_tree_packing_conjecture_trees_almost_linear https://erdosproblems.ai/wiki/library/extremal_graph_theory/allen_2021_tree_packing_conjecture_trees_almost_linear/theorem_10 https://erdosproblems.ai/wiki/library/extremal_graph_theory/allen_2021_tree_packing_conjecture_trees_almost_linear/theorem_6 https://erdosproblems.ai/wiki/library/extremal_graph_theory/allen_2021_tree_packing_conjecture_trees_almost_linear/theorem_7 https://erdosproblems.ai/wiki/library/extremal_graph_theory/allen_2021_tree_packing_conjecture_trees_almost_linear/theorem_8 https://erdosproblems.ai/wiki/library/extremal_graph_theory/almasi_2023_ramsey_turnaround_numbers https://erdosproblems.ai/wiki/library/extremal_graph_theory/almasi_2023_ramsey_turnaround_numbers/lemma_8_7 https://erdosproblems.ai/wiki/library/extremal_graph_theory/almasi_2023_ramsey_turnaround_numbers/theorem_10_10 https://erdosproblems.ai/wiki/library/extremal_graph_theory/almasi_2023_ramsey_turnaround_numbers/theorem_10_5 https://erdosproblems.ai/wiki/library/extremal_graph_theory/almasi_2023_ramsey_turnaround_numbers/theorem_8_10 https://erdosproblems.ai/wiki/library/extremal_graph_theory/almasi_2023_ramsey_turnaround_numbers/theorem_8_12 https://erdosproblems.ai/wiki/library/extremal_graph_theory/almasi_2023_ramsey_turnaround_numbers/theorem_8_13 https://erdosproblems.ai/wiki/library/extremal_graph_theory/almasi_2023_ramsey_turnaround_numbers/theorem_8_15 https://erdosproblems.ai/wiki/library/extremal_graph_theory/almasi_2023_ramsey_turnaround_numbers/theorem_8_3 https://erdosproblems.ai/wiki/library/extremal_graph_theory/almasi_2023_ramsey_turnaround_numbers/theorem_8_8 https://erdosproblems.ai/wiki/library/extremal_graph_theory/alon_1984_every_regular_graph_plus_edge_contains https://erdosproblems.ai/wiki/library/extremal_graph_theory/alon_1984_every_regular_graph_plus_edge_contains/theorem_p92 https://erdosproblems.ai/wiki/library/extremal_graph_theory/alon_1985_maximum_number_disjoint_pairs_family_subsets https://erdosproblems.ai/wiki/library/extremal_graph_theory/alon_1985_maximum_number_disjoint_pairs_family_subsets/conjecture_6_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/alon_1985_maximum_number_disjoint_pairs_family_subsets/example_6_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/alon_1985_maximum_number_disjoint_pairs_family_subsets/inequality_2_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/alon_1985_maximum_number_disjoint_pairs_family_subsets/theorem_1_3 https://erdosproblems.ai/wiki/library/extremal_graph_theory/alon_1985_maximum_number_disjoint_pairs_family_subsets/theorem_1_4 https://erdosproblems.ai/wiki/library/extremal_graph_theory/alon_1985_maximum_number_disjoint_pairs_family_subsets/theorem_5_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/alon_1985_maximum_number_disjoint_pairs_family_subsets/theorem_5_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/alon_1985_maximum_number_disjoint_pairs_family_subsets/theorem_5_3 https://erdosproblems.ai/wiki/library/extremal_graph_theory/alon_1991_ramsey_graphs_contain_many_distinct_induced https://erdosproblems.ai/wiki/library/extremal_graph_theory/alon_1991_ramsey_graphs_contain_many_distinct_induced/theorem_1_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/alon_1996_bipartite_subgraphs https://erdosproblems.ai/wiki/library/extremal_graph_theory/alon_1996_bipartite_subgraphs/inequality_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/alon_1996_bipartite_subgraphs/lemma_2_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/alon_1996_bipartite_subgraphs/proposition_3_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/alon_1996_bipartite_subgraphs/theorem_1_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/alon_1996_bipartite_subgraphs/theorem_1_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/alon_1996_independence_numbers_locally_sparse_graphs_ramsey https://erdosproblems.ai/wiki/library/extremal_graph_theory/alon_1996_independence_numbers_locally_sparse_graphs_ramsey/proposition_3_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/alon_1996_independence_numbers_locally_sparse_graphs_ramsey/theorem_1_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/alon_1996_independence_numbers_locally_sparse_graphs_ramsey/theorem_1_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/alon_1998_bipartite_subgraphs_integer_weighted_graphs https://erdosproblems.ai/wiki/library/extremal_graph_theory/alon_1998_bipartite_subgraphs_integer_weighted_graphs/proposition_4_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/alon_1998_bipartite_subgraphs_integer_weighted_graphs/proposition_4_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/alon_1998_bipartite_subgraphs_integer_weighted_graphs/theorem_1_3 https://erdosproblems.ai/wiki/library/extremal_graph_theory/alon_2000_decreasing_diameter_bounded_degree_graphs https://erdosproblems.ai/wiki/library/extremal_graph_theory/alon_2000_decreasing_diameter_bounded_degree_graphs/corollary_2_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/alon_2000_decreasing_diameter_bounded_degree_graphs/corollary_2_4 https://erdosproblems.ai/wiki/library/extremal_graph_theory/alon_2000_decreasing_diameter_bounded_degree_graphs/corollary_3_5 https://erdosproblems.ai/wiki/library/extremal_graph_theory/alon_2000_decreasing_diameter_bounded_degree_graphs/lemma_3_3 https://erdosproblems.ai/wiki/library/extremal_graph_theory/alon_2000_decreasing_diameter_bounded_degree_graphs/theorem_2_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/alon_2000_decreasing_diameter_bounded_degree_graphs/theorem_2_3 https://erdosproblems.ai/wiki/library/extremal_graph_theory/alon_2000_decreasing_diameter_bounded_degree_graphs/theorem_3_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/alon_2000_decreasing_diameter_bounded_degree_graphs/theorem_3_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/alon_2000_decreasing_diameter_bounded_degree_graphs/theorem_3_4 https://erdosproblems.ai/wiki/library/extremal_graph_theory/alon_2001_ramsey_type_theorems_forbidden_subgraphs https://erdosproblems.ai/wiki/library/extremal_graph_theory/alon_2001_ramsey_type_theorems_forbidden_subgraphs/theorem_1_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/alon_2001_ramsey_type_theorems_forbidden_subgraphs/theorem_1_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/alon_2001_ramsey_type_theorems_forbidden_subgraphs/theorem_1_3 https://erdosproblems.ai/wiki/library/extremal_graph_theory/alon_2001_ramsey_type_theorems_forbidden_subgraphs/theorem_1_4 https://erdosproblems.ai/wiki/library/extremal_graph_theory/alon_2001_ramsey_type_theorems_forbidden_subgraphs/theorem_3_3 https://erdosproblems.ai/wiki/library/extremal_graph_theory/alon_2003_turan_numbers_bipartite_graphs_related_ramsey https://erdosproblems.ai/wiki/library/extremal_graph_theory/alon_2003_turan_numbers_bipartite_graphs_related_ramsey/corollary_2_3 https://erdosproblems.ai/wiki/library/extremal_graph_theory/alon_2003_turan_numbers_bipartite_graphs_related_ramsey/theorem_3_5 https://erdosproblems.ai/wiki/library/extremal_graph_theory/alon_2003_turan_numbers_bipartite_graphs_related_ramsey/theorem_5_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/alon_2003_turan_numbers_bipartite_graphs_related_ramsey/theorem_5_3 https://erdosproblems.ai/wiki/library/extremal_graph_theory/alon_2003_turan_numbers_bipartite_graphs_related_ramsey/theorem_6_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/alon_2006_extremal_hypergraph_problem_brown_erdos_sos https://erdosproblems.ai/wiki/library/extremal_graph_theory/alon_2006_extremal_hypergraph_problem_brown_erdos_sos/conjecture_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/alon_2006_extremal_hypergraph_problem_brown_erdos_sos/proposition_5_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/alon_2006_extremal_hypergraph_problem_brown_erdos_sos/proposition_5_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/alon_2006_extremal_hypergraph_problem_brown_erdos_sos/theorem_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/alon_2007_graphs_subgraphs_having_large_independence_numbers https://erdosproblems.ai/wiki/library/extremal_graph_theory/alon_2007_large_nearly_regular_induced_subgraphs https://erdosproblems.ai/wiki/library/extremal_graph_theory/alon_2007_large_nearly_regular_induced_subgraphs/proposition_1_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/alon_2007_large_nearly_regular_induced_subgraphs/proposition_1_5 https://erdosproblems.ai/wiki/library/extremal_graph_theory/alon_2007_large_nearly_regular_induced_subgraphs/theorem_1_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/alon_2007_large_nearly_regular_induced_subgraphs/theorem_1_3 https://erdosproblems.ai/wiki/library/extremal_graph_theory/alon_2007_large_nearly_regular_induced_subgraphs/theorem_1_4 https://erdosproblems.ai/wiki/library/extremal_graph_theory/alon_2008_problems_results_extremal_combinatorics https://erdosproblems.ai/wiki/library/extremal_graph_theory/alon_2008_problems_results_extremal_combinatorics/proposition_2_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/alon_2015_bipartite_decomposition_random_graphs https://erdosproblems.ai/wiki/library/extremal_graph_theory/alon_2015_bipartite_decomposition_random_graphs/conjecture_4_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/alon_2015_bipartite_decomposition_random_graphs/proposition_1_3 https://erdosproblems.ai/wiki/library/extremal_graph_theory/alon_2015_bipartite_decomposition_random_graphs/theorem_1_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/alon_2015_bipartite_decomposition_random_graphs/theorem_1_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/alon_2015_comparable_pairs_families_sets https://erdosproblems.ai/wiki/library/extremal_graph_theory/alon_2015_comparable_pairs_families_sets/corollary_1_5 https://erdosproblems.ai/wiki/library/extremal_graph_theory/alon_2015_comparable_pairs_families_sets/theorem_1_3 https://erdosproblems.ai/wiki/library/extremal_graph_theory/alon_2015_comparable_pairs_families_sets/theorem_1_4 https://erdosproblems.ai/wiki/library/extremal_graph_theory/alon_2015_comparable_pairs_families_sets/theorem_1_6 https://erdosproblems.ai/wiki/library/extremal_graph_theory/alon_2015_comparable_pairs_families_sets/theorem_1_7 https://erdosproblems.ai/wiki/library/extremal_graph_theory/alon_2017_more_bipartite_decomposition_random_graphs https://erdosproblems.ai/wiki/library/extremal_graph_theory/alon_2017_more_bipartite_decomposition_random_graphs/theorem_1_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/alon_2017_more_bipartite_decomposition_random_graphs/theorem_4_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/alon_2021_large_cliques_independent_sets_all_over https://erdosproblems.ai/wiki/library/extremal_graph_theory/alon_2021_large_cliques_independent_sets_all_over/proposition_3 https://erdosproblems.ai/wiki/library/extremal_graph_theory/alon_2021_large_cliques_independent_sets_all_over/theorem_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/alon_2021_large_cliques_independent_sets_all_over/theorem_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/alon_2021_large_cliques_independent_sets_all_over/theorem_8 https://erdosproblems.ai/wiki/library/extremal_graph_theory/alon_2026_problems_results_extremal_combinatorics_v https://erdosproblems.ai/wiki/library/extremal_graph_theory/alon_2026_problems_results_extremal_combinatorics_v/claim_independence_number https://erdosproblems.ai/wiki/library/extremal_graph_theory/alon_2026_problems_results_extremal_combinatorics_v/evidence https://erdosproblems.ai/wiki/library/extremal_graph_theory/alon_2026_problems_results_extremal_combinatorics_v/evidence/verify https://erdosproblems.ai/wiki/library/extremal_graph_theory/alon_2026_problems_results_extremal_combinatorics_v/evidence/verify/final_approval https://erdosproblems.ai/wiki/library/extremal_graph_theory/alon_2026_problems_results_extremal_combinatorics_v/evidence/verify/theorem_3_2_review https://erdosproblems.ai/wiki/library/extremal_graph_theory/alon_2026_problems_results_extremal_combinatorics_v/theorem_3_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/andersen_1992_strong_chromatic_index_cubic_graph_is_at_most_10 https://erdosproblems.ai/wiki/library/extremal_graph_theory/andersen_1992_strong_chromatic_index_cubic_graph_is_at_most_10/theorem_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/andrasfai_et_al_1974_connection_between_chromatic_number_maximal_clique_minimal_degree_graph https://erdosproblems.ai/wiki/library/extremal_graph_theory/andrasfai_et_al_1974_connection_between_chromatic_number_maximal_clique_minimal_degree_graph/corollary_2_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/andrasfai_et_al_1974_connection_between_chromatic_number_maximal_clique_minimal_degree_graph/theorem_1_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/anto_2023_gallai_s_path_decomposition_2_degenerate https://erdosproblems.ai/wiki/library/extremal_graph_theory/anto_2023_gallai_s_path_decomposition_2_degenerate/corollary_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/anto_2023_gallai_s_path_decomposition_2_degenerate/theorem_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/baber_2012_turan_densities_hypercubes https://erdosproblems.ai/wiki/library/extremal_graph_theory/baber_2012_turan_densities_hypercubes/bound_p14 https://erdosproblems.ai/wiki/library/extremal_graph_theory/baber_2012_turan_densities_hypercubes/theorem_2_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/baber_2012_turan_densities_hypercubes/theorem_3_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/baber_2012_turan_densities_hypercubes/theorem_4_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/bacso_et_al_2004_coloring_maximal_cliques_graphs https://erdosproblems.ai/wiki/library/extremal_graph_theory/bacso_et_al_2004_coloring_maximal_cliques_graphs/corollary_3 https://erdosproblems.ai/wiki/library/extremal_graph_theory/bacso_et_al_2004_coloring_maximal_cliques_graphs/corollary_5 https://erdosproblems.ai/wiki/library/extremal_graph_theory/bacso_et_al_2004_coloring_maximal_cliques_graphs/corollary_6 https://erdosproblems.ai/wiki/library/extremal_graph_theory/bacso_et_al_2004_coloring_maximal_cliques_graphs/theorem_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/bacso_et_al_2004_coloring_maximal_cliques_graphs/theorem_10 https://erdosproblems.ai/wiki/library/extremal_graph_theory/bacso_et_al_2004_coloring_maximal_cliques_graphs/theorem_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/bacso_et_al_2004_coloring_maximal_cliques_graphs/theorem_3 https://erdosproblems.ai/wiki/library/extremal_graph_theory/bacso_et_al_2004_coloring_maximal_cliques_graphs/theorem_4 https://erdosproblems.ai/wiki/library/extremal_graph_theory/bacso_et_al_2004_coloring_maximal_cliques_graphs/theorem_6 https://erdosproblems.ai/wiki/library/extremal_graph_theory/bacso_et_al_2004_coloring_maximal_cliques_graphs/theorem_7 https://erdosproblems.ai/wiki/library/extremal_graph_theory/bacso_tuza_2009_clique_transversal_sets_weak_2_colorings_graphs_small_maximum_degree https://erdosproblems.ai/wiki/library/extremal_graph_theory/bacso_tuza_2009_clique_transversal_sets_weak_2_colorings_graphs_small_maximum_degree/theorem_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/bacso_tuza_2009_clique_transversal_sets_weak_2_colorings_graphs_small_maximum_degree/theorem_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/balogh_2013_ramsey_turan_numbers_graphs_hypergraphs https://erdosproblems.ai/wiki/library/extremal_graph_theory/balogh_2013_ramsey_turan_numbers_graphs_hypergraphs/corollary_4 https://erdosproblems.ai/wiki/library/extremal_graph_theory/balogh_2013_ramsey_turan_numbers_graphs_hypergraphs/theorem_3 https://erdosproblems.ai/wiki/library/extremal_graph_theory/balogh_2014_upper_bounds_cycle_free_subgraphs_hypercube https://erdosproblems.ai/wiki/library/extremal_graph_theory/balogh_2014_upper_bounds_cycle_free_subgraphs_hypercube/theorem_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/balogh_2014_upper_bounds_cycle_free_subgraphs_hypercube/theorem_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/balogh_2014_upper_bounds_cycle_free_subgraphs_hypercube/theorem_3 https://erdosproblems.ai/wiki/library/extremal_graph_theory/balogh_2021_max_cuts_triangle_free_graphs https://erdosproblems.ai/wiki/library/extremal_graph_theory/balogh_2021_max_cuts_triangle_free_graphs/theorem_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/balogh_2025_packing_edge_disjoint_cliques_graphs https://erdosproblems.ai/wiki/library/extremal_graph_theory/bartfai_1960_solution_problem_posed_erdos https://erdosproblems.ai/wiki/library/extremal_graph_theory/bartfai_1960_solution_problem_posed_erdos/solution_p175 https://erdosproblems.ai/wiki/library/extremal_graph_theory/basit_galvin_2020_independent_set_sequence_tree https://erdosproblems.ai/wiki/library/extremal_graph_theory/basit_galvin_2020_independent_set_sequence_tree/claim_1_10 https://erdosproblems.ai/wiki/library/extremal_graph_theory/basit_galvin_2020_independent_set_sequence_tree/theorem_1_3 https://erdosproblems.ai/wiki/library/extremal_graph_theory/basit_galvin_2020_independent_set_sequence_tree/theorem_1_4 https://erdosproblems.ai/wiki/library/extremal_graph_theory/basit_galvin_2020_independent_set_sequence_tree/theorem_1_5 https://erdosproblems.ai/wiki/library/extremal_graph_theory/basit_galvin_2020_independent_set_sequence_tree/theorem_1_6 https://erdosproblems.ai/wiki/library/extremal_graph_theory/basit_galvin_2020_independent_set_sequence_tree/theorem_1_7 https://erdosproblems.ai/wiki/library/extremal_graph_theory/bencs_2017_trees_real_rooted_independence_polynomial https://erdosproblems.ai/wiki/library/extremal_graph_theory/bencs_2017_trees_real_rooted_independence_polynomial/corollary_3_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/bencs_2017_trees_real_rooted_independence_polynomial/proposition_2_7 https://erdosproblems.ai/wiki/library/extremal_graph_theory/bencs_2017_trees_real_rooted_independence_polynomial/proposition_3_3 https://erdosproblems.ai/wiki/library/extremal_graph_theory/bencs_2017_trees_real_rooted_independence_polynomial/proposition_3_4 https://erdosproblems.ai/wiki/library/extremal_graph_theory/bencs_2017_trees_real_rooted_independence_polynomial/proposition_3_5 https://erdosproblems.ai/wiki/library/extremal_graph_theory/bencs_2017_trees_real_rooted_independence_polynomial/theorem_2_3 https://erdosproblems.ai/wiki/library/extremal_graph_theory/bennett_2022_erdos_gyarfas_function_so_gyarfas_was https://erdosproblems.ai/wiki/library/extremal_graph_theory/benson_1966_minimal_regular_graphs_girths_eight_twelve https://erdosproblems.ai/wiki/library/extremal_graph_theory/benson_1966_minimal_regular_graphs_girths_eight_twelve/theorem_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/benson_1966_minimal_regular_graphs_girths_eight_twelve/theorem_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/bermond_1983_graphs_interconnection_networks_diameter_vulnerability https://erdosproblems.ai/wiki/library/extremal_graph_theory/bermond_1983_graphs_interconnection_networks_diameter_vulnerability/conjecture_p13 https://erdosproblems.ai/wiki/library/extremal_graph_theory/blanche_2021_gallai_s_path_decomposition_planar_graphs https://erdosproblems.ai/wiki/library/extremal_graph_theory/blanche_2021_gallai_s_path_decomposition_planar_graphs/theorem_1_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/blanche_2021_gallai_s_path_decomposition_planar_graphs/theorem_1_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/blumenthal_2021_sharp_bounds_decomposing_graphs_edges_triangles https://erdosproblems.ai/wiki/library/extremal_graph_theory/blumenthal_2021_sharp_bounds_decomposing_graphs_edges_triangles/corollary_6 https://erdosproblems.ai/wiki/library/extremal_graph_theory/blumenthal_2021_sharp_bounds_decomposing_graphs_edges_triangles/lemma_11 https://erdosproblems.ai/wiki/library/extremal_graph_theory/blumenthal_2021_sharp_bounds_decomposing_graphs_edges_triangles/related_results_p17 https://erdosproblems.ai/wiki/library/extremal_graph_theory/blumenthal_2021_sharp_bounds_decomposing_graphs_edges_triangles/theorem_5 https://erdosproblems.ai/wiki/library/extremal_graph_theory/blumenthal_2021_sharp_bounds_decomposing_graphs_edges_triangles/theorem_7 https://erdosproblems.ai/wiki/library/extremal_graph_theory/bohman_2015_random_triangle_removal https://erdosproblems.ai/wiki/library/extremal_graph_theory/bohman_2015_random_triangle_removal/theorem_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/bohman_2015_random_triangle_removal/theorem_2_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/bohman_2015_random_triangle_removal/theorem_2_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/bohman_2015_random_triangle_removal/theorem_6_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/bollobas_1962_grafelmeleti_szelsoertekekre_vonatkozo_problemakrol_extremal_problems https://erdosproblems.ai/wiki/library/extremal_graph_theory/bollobas_1962_grafelmeleti_szelsoertekekre_vonatkozo_problemakrol_extremal_problems/conjecture_p144 https://erdosproblems.ai/wiki/library/extremal_graph_theory/bollobas_1962_grafelmeleti_szelsoertekekre_vonatkozo_problemakrol_extremal_problems/question_p144 https://erdosproblems.ai/wiki/library/extremal_graph_theory/bollobas_1962_grafelmeleti_szelsoertekekre_vonatkozo_problemakrol_extremal_problems/theorem_p144 https://erdosproblems.ai/wiki/library/extremal_graph_theory/bollobas_1975_complete_subgraphs_chromatic_graphs https://erdosproblems.ai/wiki/library/extremal_graph_theory/bollobas_1975_complete_subgraphs_chromatic_graphs/bounds_p98 https://erdosproblems.ai/wiki/library/extremal_graph_theory/bollobas_1975_complete_subgraphs_chromatic_graphs/conjecture_p98 https://erdosproblems.ai/wiki/library/extremal_graph_theory/bollobas_1975_complete_subgraphs_chromatic_graphs/theorem_2_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/bollobas_1975_complete_subgraphs_chromatic_graphs/theorem_2_3 https://erdosproblems.ai/wiki/library/extremal_graph_theory/bollobas_1975_complete_subgraphs_chromatic_graphs/theorem_2_6 https://erdosproblems.ai/wiki/library/extremal_graph_theory/bollobas_1975_complete_subgraphs_chromatic_graphs/theorem_2_8 https://erdosproblems.ai/wiki/library/extremal_graph_theory/bollobas_1975_complete_subgraphs_chromatic_graphs/theorem_3_3 https://erdosproblems.ai/wiki/library/extremal_graph_theory/bollobas_1976_ramsey_turan_type_problem https://erdosproblems.ai/wiki/library/extremal_graph_theory/bollobas_1976_ramsey_turan_type_problem/problem_p168 https://erdosproblems.ai/wiki/library/extremal_graph_theory/bollobas_1976_ramsey_turan_type_problem/theorem https://erdosproblems.ai/wiki/library/extremal_graph_theory/bollobas_1983_some_remarks_packing_trees https://erdosproblems.ai/wiki/library/extremal_graph_theory/bollobas_1983_some_remarks_packing_trees/theorem_p203 https://erdosproblems.ai/wiki/library/extremal_graph_theory/bollobas_2002_better_bounds_max_cut https://erdosproblems.ai/wiki/library/extremal_graph_theory/bollobas_2002_better_bounds_max_cut/greedy_triangular_values https://erdosproblems.ai/wiki/library/extremal_graph_theory/bollobas_2002_better_bounds_max_cut/lemma_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/bollobas_2002_better_bounds_max_cut/lemma_28 https://erdosproblems.ai/wiki/library/extremal_graph_theory/bollobas_2002_better_bounds_max_cut/lemma_4 https://erdosproblems.ai/wiki/library/extremal_graph_theory/bollobas_2002_better_bounds_max_cut/lemma_7 https://erdosproblems.ai/wiki/library/extremal_graph_theory/bollobas_2002_better_bounds_max_cut/lemma_9 https://erdosproblems.ai/wiki/library/extremal_graph_theory/bollobas_2002_better_bounds_max_cut/theorem_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/bollobas_2002_better_bounds_max_cut/theorem_10 https://erdosproblems.ai/wiki/library/extremal_graph_theory/bollobas_2002_better_bounds_max_cut/theorem_11 https://erdosproblems.ai/wiki/library/extremal_graph_theory/bollobas_2002_better_bounds_max_cut/theorem_12 https://erdosproblems.ai/wiki/library/extremal_graph_theory/bollobas_2002_better_bounds_max_cut/theorem_13 https://erdosproblems.ai/wiki/library/extremal_graph_theory/bollobas_2002_better_bounds_max_cut/theorem_21 https://erdosproblems.ai/wiki/library/extremal_graph_theory/bollobas_2002_better_bounds_max_cut/theorem_22 https://erdosproblems.ai/wiki/library/extremal_graph_theory/bollobas_2002_better_bounds_max_cut/theorem_23 https://erdosproblems.ai/wiki/library/extremal_graph_theory/bollobas_2002_better_bounds_max_cut/theorem_24 https://erdosproblems.ai/wiki/library/extremal_graph_theory/bollobas_2002_better_bounds_max_cut/theorem_26 https://erdosproblems.ai/wiki/library/extremal_graph_theory/bollobas_2002_better_bounds_max_cut/theorem_8 https://erdosproblems.ai/wiki/library/extremal_graph_theory/bollobas_2002_better_bounds_max_cut/uniform_additive_gap https://erdosproblems.ai/wiki/library/extremal_graph_theory/bollobas_2005_sum_degrees_cliques https://erdosproblems.ai/wiki/library/extremal_graph_theory/bollobas_2005_sum_degrees_cliques/corollary_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/bollobas_2005_sum_degrees_cliques/theorem_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/bollobas_2005_sum_degrees_cliques/theorem_3 https://erdosproblems.ai/wiki/library/extremal_graph_theory/bollobas_hind_1991_graphs_without_large_triangle_free_subgraphs https://erdosproblems.ai/wiki/library/extremal_graph_theory/bollobas_hind_1991_graphs_without_large_triangle_free_subgraphs/theorem_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/bollobas_hind_1991_graphs_without_large_triangle_free_subgraphs/theorem_5 https://erdosproblems.ai/wiki/library/extremal_graph_theory/bollobas_thomason_1981_dense_neighbourhoods_turan_s_theorem https://erdosproblems.ai/wiki/library/extremal_graph_theory/bollobas_thomason_1981_dense_neighbourhoods_turan_s_theorem/theorem_p111 https://erdosproblems.ai/wiki/library/extremal_graph_theory/bollobas_thomason_1998_proof_conjecture_mader_erdos_hajnal_topological_complete_subgraphs https://erdosproblems.ai/wiki/library/extremal_graph_theory/bollobas_thomason_1998_proof_conjecture_mader_erdos_hajnal_topological_complete_subgraphs/theorem_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/bollobas_thomason_1998_proof_conjecture_mader_erdos_hajnal_topological_complete_subgraphs/theorem_4 https://erdosproblems.ai/wiki/library/extremal_graph_theory/bonamy_2019_gallai_s_path_decomposition_conjecture_graphs https://erdosproblems.ai/wiki/library/extremal_graph_theory/bonamy_2019_gallai_s_path_decomposition_conjecture_graphs/lemma_3_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/bonamy_2019_gallai_s_path_decomposition_conjecture_graphs/lemma_3_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/bonamy_2019_gallai_s_path_decomposition_conjecture_graphs/question_1_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/bonamy_2019_gallai_s_path_decomposition_conjecture_graphs/theorem_1_3 https://erdosproblems.ai/wiki/library/extremal_graph_theory/bonamy_2022_colouring_graphs_sparse_neighbourhoods_bounds_applications https://erdosproblems.ai/wiki/library/extremal_graph_theory/bonamy_2022_colouring_graphs_sparse_neighbourhoods_bounds_applications/lemma_4_6 https://erdosproblems.ai/wiki/library/extremal_graph_theory/bonamy_2022_colouring_graphs_sparse_neighbourhoods_bounds_applications/theorem_1_11 https://erdosproblems.ai/wiki/library/extremal_graph_theory/bonamy_2022_colouring_graphs_sparse_neighbourhoods_bounds_applications/theorem_1_5 https://erdosproblems.ai/wiki/library/extremal_graph_theory/bonamy_2022_colouring_graphs_sparse_neighbourhoods_bounds_applications/theorem_1_6 https://erdosproblems.ai/wiki/library/extremal_graph_theory/bonamy_2022_colouring_graphs_sparse_neighbourhoods_bounds_applications/theorem_1_7 https://erdosproblems.ai/wiki/library/extremal_graph_theory/bonamy_2022_colouring_graphs_sparse_neighbourhoods_bounds_applications/theorem_3_21 https://erdosproblems.ai/wiki/library/extremal_graph_theory/bondy_1971_large_cycles_graphs https://erdosproblems.ai/wiki/library/extremal_graph_theory/bondy_1971_large_cycles_graphs/conjecture_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/bondy_1971_large_cycles_graphs/theorem_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/bondy_1971_large_cycles_graphs/theorem_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/bondy_1971_large_cycles_graphs/theorem_3 https://erdosproblems.ai/wiki/library/extremal_graph_theory/bondy_1971_pancyclic_graphs_i https://erdosproblems.ai/wiki/library/extremal_graph_theory/bondy_1971_pancyclic_graphs_i/claim_p84 https://erdosproblems.ai/wiki/library/extremal_graph_theory/bondy_1971_pancyclic_graphs_i/corollary_p83 https://erdosproblems.ai/wiki/library/extremal_graph_theory/bondy_1971_pancyclic_graphs_i/theorem_p81 https://erdosproblems.ai/wiki/library/extremal_graph_theory/bondy_1974_cycles_even_length_graphs https://erdosproblems.ai/wiki/library/extremal_graph_theory/bondy_1974_cycles_even_length_graphs/remark_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/bondy_1974_cycles_even_length_graphs/theorem_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/bondy_1983_large_dense_neighbourhoods_turan_s_theorem https://erdosproblems.ai/wiki/library/extremal_graph_theory/bondy_1983_large_dense_neighbourhoods_turan_s_theorem/theorem_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/bondy_1983_large_dense_neighbourhoods_turan_s_theorem/theorem_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/boros_2025_conformality_minimal_transversals_maximal_cliques https://erdosproblems.ai/wiki/library/extremal_graph_theory/bradac_2024_question_erdos_nesetril_about_minimal_cuts https://erdosproblems.ai/wiki/library/extremal_graph_theory/bradac_2024_question_erdos_nesetril_about_minimal_cuts/proposition_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/bradac_2024_question_erdos_nesetril_about_minimal_cuts/theorem_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/bradac_2024_unique_subgraphs_are_rare https://erdosproblems.ai/wiki/library/extremal_graph_theory/brouwer_1975_note_number_unique_subgraphs_graph_j https://erdosproblems.ai/wiki/library/extremal_graph_theory/brouwer_1975_note_number_unique_subgraphs_graph_j/main_theorem https://erdosproblems.ai/wiki/library/extremal_graph_theory/brouwer_1993_highly_symmetric_subgraphs_hypercubes https://erdosproblems.ai/wiki/library/extremal_graph_theory/brouwer_1993_highly_symmetric_subgraphs_hypercubes/section_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/brouwer_1993_highly_symmetric_subgraphs_hypercubes/section_3 https://erdosproblems.ai/wiki/library/extremal_graph_theory/brown_1966_graphs_that_do_not_contain_thomsen https://erdosproblems.ai/wiki/library/extremal_graph_theory/brown_1966_graphs_that_do_not_contain_thomsen/main_theorem https://erdosproblems.ai/wiki/library/extremal_graph_theory/brown_1966_graphs_that_do_not_contain_thomsen/section_3 https://erdosproblems.ai/wiki/library/extremal_graph_theory/brown_1973_extremal_problems_graphs https://erdosproblems.ai/wiki/library/extremal_graph_theory/brown_1973_extremal_problems_graphs/conjecture_p62 https://erdosproblems.ai/wiki/library/extremal_graph_theory/brown_1973_extremal_problems_graphs/question_p58 https://erdosproblems.ai/wiki/library/extremal_graph_theory/brown_1973_extremal_problems_graphs/theorem_p62 https://erdosproblems.ai/wiki/library/extremal_graph_theory/brown_1973_extremal_problems_graphs/theorem_section_4 https://erdosproblems.ai/wiki/library/extremal_graph_theory/bruhn_2018_stronger_bound_strong_chromatic_index https://erdosproblems.ai/wiki/library/extremal_graph_theory/bruhn_2018_stronger_bound_strong_chromatic_index/lemma_4 https://erdosproblems.ai/wiki/library/extremal_graph_theory/bruhn_2018_stronger_bound_strong_chromatic_index/lemma_5 https://erdosproblems.ai/wiki/library/extremal_graph_theory/bruhn_2018_stronger_bound_strong_chromatic_index/theorem_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/bruhn_2018_stronger_bound_strong_chromatic_index/theorem_12 https://erdosproblems.ai/wiki/library/extremal_graph_theory/bruhn_2018_stronger_bound_strong_chromatic_index/theorem_3 https://erdosproblems.ai/wiki/library/extremal_graph_theory/bucic_2019_universal_unavoidable_graphs https://erdosproblems.ai/wiki/library/extremal_graph_theory/bucic_2019_universal_unavoidable_graphs/theorem_1_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/bucic_2019_universal_unavoidable_graphs/theorem_1_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/bucic_2020_large_independent_sets_local_considerations https://erdosproblems.ai/wiki/library/extremal_graph_theory/bucic_2020_large_independent_sets_local_considerations/theorem_1_3 https://erdosproblems.ai/wiki/library/extremal_graph_theory/bucic_2022_towards_erdos_gallai_cycle_decomposition_conjecture https://erdosproblems.ai/wiki/library/extremal_graph_theory/bucic_2022_towards_erdos_gallai_cycle_decomposition_conjecture/conjecture_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/bucic_2022_towards_erdos_gallai_cycle_decomposition_conjecture/lower_bound_p24 https://erdosproblems.ai/wiki/library/extremal_graph_theory/bucic_2022_towards_erdos_gallai_cycle_decomposition_conjecture/theorem_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/bucic_2023_induced_subgraph_density_i_loglog_step https://erdosproblems.ai/wiki/library/extremal_graph_theory/bucic_2023_induced_subgraph_density_i_loglog_step/theorem_1_3 https://erdosproblems.ai/wiki/library/extremal_graph_theory/bucic_2023_induced_subgraph_density_i_loglog_step/theorem_1_8 https://erdosproblems.ai/wiki/library/extremal_graph_theory/bujtas_2025_covering_edges_graph_triangles https://erdosproblems.ai/wiki/library/extremal_graph_theory/bujtas_2025_covering_edges_graph_triangles/corollary_8 https://erdosproblems.ai/wiki/library/extremal_graph_theory/bujtas_2025_covering_edges_graph_triangles/proposition_11 https://erdosproblems.ai/wiki/library/extremal_graph_theory/bujtas_2025_covering_edges_graph_triangles/proposition_3 https://erdosproblems.ai/wiki/library/extremal_graph_theory/bujtas_2025_covering_edges_graph_triangles/proposition_9 https://erdosproblems.ai/wiki/library/extremal_graph_theory/bujtas_2025_covering_edges_graph_triangles/theorem_10 https://erdosproblems.ai/wiki/library/extremal_graph_theory/bujtas_2025_covering_edges_graph_triangles/theorem_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/bujtas_2025_covering_edges_graph_triangles/theorem_4 https://erdosproblems.ai/wiki/library/extremal_graph_theory/bujtas_2025_covering_edges_graph_triangles/theorem_6 https://erdosproblems.ai/wiki/library/extremal_graph_theory/bujtas_2025_covering_edges_graph_triangles/theorem_7 https://erdosproblems.ai/wiki/library/extremal_graph_theory/bukh_2018_rational_exponents_extremal_graph_theory https://erdosproblems.ai/wiki/library/extremal_graph_theory/caccetta_haggkvist_1979_diameter_critical_graphs https://erdosproblems.ai/wiki/library/extremal_graph_theory/caccetta_haggkvist_1979_diameter_critical_graphs/conjecture_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/caccetta_haggkvist_1979_diameter_critical_graphs/conjecture_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/caccetta_haggkvist_1979_diameter_critical_graphs/conjecture_p229 https://erdosproblems.ai/wiki/library/extremal_graph_theory/caccetta_haggkvist_1979_diameter_critical_graphs/theorem_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/caccetta_haggkvist_1979_diameter_critical_graphs/theorem_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/cambie_2022_maximizing_line_subgraphs_diameter_at_most_t https://erdosproblems.ai/wiki/library/extremal_graph_theory/cambie_2022_maximizing_line_subgraphs_diameter_at_most_t/conjecture_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/cambie_2022_maximizing_line_subgraphs_diameter_at_most_t/conjecture_3 https://erdosproblems.ai/wiki/library/extremal_graph_theory/cambie_2022_maximizing_line_subgraphs_diameter_at_most_t/conjecture_4 https://erdosproblems.ai/wiki/library/extremal_graph_theory/cambie_2022_maximizing_line_subgraphs_diameter_at_most_t/proposition_5 https://erdosproblems.ai/wiki/library/extremal_graph_theory/cambie_2022_maximizing_line_subgraphs_diameter_at_most_t/theorem_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/cambie_2022_maximizing_line_subgraphs_diameter_at_most_t/theorem_6 https://erdosproblems.ai/wiki/library/extremal_graph_theory/cambie_2022_maximizing_line_subgraphs_diameter_at_most_t/theorem_7 https://erdosproblems.ai/wiki/library/extremal_graph_theory/cambie_2025_edge_colouring_games_erdos_bensmail_mc https://erdosproblems.ai/wiki/library/extremal_graph_theory/cambie_2025_sharp_results_erdos_pach_pollack_tuza https://erdosproblems.ai/wiki/library/extremal_graph_theory/cambie_2025_sharp_results_erdos_pach_pollack_tuza/counterexample_p4 https://erdosproblems.ai/wiki/library/extremal_graph_theory/camesvanbatenburg_2020_strong_cliques_forbidden_cycles https://erdosproblems.ai/wiki/library/extremal_graph_theory/camesvanbatenburg_2020_strong_cliques_forbidden_cycles/theorem_10 https://erdosproblems.ai/wiki/library/extremal_graph_theory/camesvanbatenburg_2020_strong_cliques_forbidden_cycles/theorem_11 https://erdosproblems.ai/wiki/library/extremal_graph_theory/camesvanbatenburg_2020_strong_cliques_forbidden_cycles/theorem_6 https://erdosproblems.ai/wiki/library/extremal_graph_theory/camesvanbatenburg_2020_strong_cliques_forbidden_cycles/theorem_8 https://erdosproblems.ai/wiki/library/extremal_graph_theory/carmesin_2023_characterising_graphs_no_subdivision_wheel_bounded_diameter https://erdosproblems.ai/wiki/library/extremal_graph_theory/carmesin_2023_characterising_graphs_no_subdivision_wheel_bounded_diameter/related_results_p22 https://erdosproblems.ai/wiki/library/extremal_graph_theory/chaffee_2016_dimension_4_dimension_5_graphs_minimum https://erdosproblems.ai/wiki/library/extremal_graph_theory/chaffee_2016_dimension_4_dimension_5_graphs_minimum/lemma_3 https://erdosproblems.ai/wiki/library/extremal_graph_theory/chaffee_2016_dimension_4_dimension_5_graphs_minimum/theorem_10 https://erdosproblems.ai/wiki/library/extremal_graph_theory/chaffee_2016_dimension_4_dimension_5_graphs_minimum/theorem_11 https://erdosproblems.ai/wiki/library/extremal_graph_theory/chaffee_2016_dimension_4_dimension_5_graphs_minimum/theorem_6 https://erdosproblems.ai/wiki/library/extremal_graph_theory/chaffee_2016_dimension_4_dimension_5_graphs_minimum/theorem_7 https://erdosproblems.ai/wiki/library/extremal_graph_theory/chaffee_2016_dimension_4_dimension_5_graphs_minimum/theorem_8 https://erdosproblems.ai/wiki/library/extremal_graph_theory/chahua_2025_tuza_s_conjecture_dense_graphs https://erdosproblems.ai/wiki/library/extremal_graph_theory/chahua_2025_tuza_s_conjecture_dense_graphs/corollary_13 https://erdosproblems.ai/wiki/library/extremal_graph_theory/chahua_2025_tuza_s_conjecture_dense_graphs/theorem_15 https://erdosproblems.ai/wiki/library/extremal_graph_theory/chahua_2025_tuza_s_conjecture_dense_graphs/theorem_5 https://erdosproblems.ai/wiki/library/extremal_graph_theory/chakraborti_2024_edge_disjoint_cycles_same_vertex_set https://erdosproblems.ai/wiki/library/extremal_graph_theory/chakraborti_2024_edge_disjoint_cycles_same_vertex_set/lemma_3 https://erdosproblems.ai/wiki/library/extremal_graph_theory/chakraborti_2024_edge_disjoint_cycles_same_vertex_set/problem_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/chakraborti_2024_edge_disjoint_cycles_same_vertex_set/theorem_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/chakraborti_2024_edge_disjoint_cycles_same_vertex_set/theorem_21 https://erdosproblems.ai/wiki/library/extremal_graph_theory/chakraborti_2024_regular_subgraphs_at_every_density https://erdosproblems.ai/wiki/library/extremal_graph_theory/chakraborti_2024_regular_subgraphs_at_every_density/proposition_1_6 https://erdosproblems.ai/wiki/library/extremal_graph_theory/chakraborti_2024_regular_subgraphs_at_every_density/proposition_1_7 https://erdosproblems.ai/wiki/library/extremal_graph_theory/chakraborti_2024_regular_subgraphs_at_every_density/theorem_1_4 https://erdosproblems.ai/wiki/library/extremal_graph_theory/chakraborti_2024_regular_subgraphs_at_every_density/theorem_1_5 https://erdosproblems.ai/wiki/library/extremal_graph_theory/chen_1994_clique_partitions_split_graphs https://erdosproblems.ai/wiki/library/extremal_graph_theory/chen_1994_clique_partitions_split_graphs/conjecture_p28 https://erdosproblems.ai/wiki/library/extremal_graph_theory/chen_1994_clique_partitions_split_graphs/example_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/chen_1994_clique_partitions_split_graphs/theorem_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/chen_1994_clique_partitions_split_graphs/theorem_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/chen_1997_result_c4_star_ramsey_numbers https://erdosproblems.ai/wiki/library/extremal_graph_theory/chen_1997_result_c4_star_ramsey_numbers/theorem_4 https://erdosproblems.ai/wiki/library/extremal_graph_theory/chen_2025_problem_erdos_hajnal_paths_equal_degree https://erdosproblems.ai/wiki/library/extremal_graph_theory/chen_2025_problem_erdos_hajnal_paths_equal_degree/theorem_12 https://erdosproblems.ai/wiki/library/extremal_graph_theory/chen_2025_problem_erdos_hajnal_paths_equal_degree/theorem_13 https://erdosproblems.ai/wiki/library/extremal_graph_theory/chen_2025_problem_erdos_hajnal_paths_equal_degree/theorem_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/chen_2025_problem_erdos_hajnal_paths_equal_degree/theorem_3 https://erdosproblems.ai/wiki/library/extremal_graph_theory/chu_2026_gallai_s_conjecture_path_number_odd_semi_cliques https://erdosproblems.ai/wiki/library/extremal_graph_theory/chu_2026_gallai_s_conjecture_path_number_odd_semi_cliques/theorem_1_3 https://erdosproblems.ai/wiki/library/extremal_graph_theory/chu_2026_gallai_s_conjecture_path_number_odd_semi_cliques/theorem_1_4 https://erdosproblems.ai/wiki/library/extremal_graph_theory/chu_2026_gallai_s_conjecture_path_number_odd_semi_cliques/theorem_1_5 https://erdosproblems.ai/wiki/library/extremal_graph_theory/chu_2026_gallai_s_conjecture_path_number_odd_semi_cliques/theorem_1_7 https://erdosproblems.ai/wiki/library/extremal_graph_theory/chudnovsky_2008_erdos_hajnal_conjecture_bull_free https://erdosproblems.ai/wiki/library/extremal_graph_theory/chudnovsky_2008_erdos_hajnal_conjecture_bull_free/theorem_1_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/chudnovsky_2008_erdos_hajnal_conjecture_bull_free/theorem_1_3 https://erdosproblems.ai/wiki/library/extremal_graph_theory/chudnovsky_2023_erdos_hajnal_graphs_no_5_hole https://erdosproblems.ai/wiki/library/extremal_graph_theory/chudnovsky_2023_erdos_hajnal_graphs_no_5_hole/theorem_1_10 https://erdosproblems.ai/wiki/library/extremal_graph_theory/chudnovsky_2023_erdos_hajnal_graphs_no_5_hole/theorem_1_4 https://erdosproblems.ai/wiki/library/extremal_graph_theory/chudnovsky_2023_erdos_hajnal_graphs_no_5_hole/theorem_1_6 https://erdosproblems.ai/wiki/library/extremal_graph_theory/chudnovsky_2023_erdos_hajnal_graphs_no_5_hole/theorem_1_7 https://erdosproblems.ai/wiki/library/extremal_graph_theory/chudnovsky_2023_erdos_hajnal_graphs_no_5_hole/theorem_1_8 https://erdosproblems.ai/wiki/library/extremal_graph_theory/chudnovsky_2023_erdos_hajnal_graphs_no_5_hole/theorem_1_9 https://erdosproblems.ai/wiki/library/extremal_graph_theory/chudnovsky_2023_erdos_hajnal_graphs_no_5_hole/theorem_6_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/chudnovsky_2023_erdos_hajnal_graphs_no_5_hole/theorem_7_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/chung_1979_product_point_line_covering_numbers_graph https://erdosproblems.ai/wiki/library/extremal_graph_theory/chung_1979_product_point_line_covering_numbers_graph/theorem_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/chung_1979_product_point_line_covering_numbers_graph/theorem_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/chung_1990_maximum_number_edges_2k2_free_graphs_bounded_degree https://erdosproblems.ai/wiki/library/extremal_graph_theory/chung_1990_maximum_number_edges_2k2_free_graphs_bounded_degree/theorem_4 https://erdosproblems.ai/wiki/library/extremal_graph_theory/chung_1997_open_problems_paul_erdos_graph_theory https://erdosproblems.ai/wiki/library/extremal_graph_theory/chung_1997_open_problems_paul_erdos_graph_theory/problem_35 https://erdosproblems.ai/wiki/library/extremal_graph_theory/chung_1997_open_problems_paul_erdos_graph_theory/problem_36 https://erdosproblems.ai/wiki/library/extremal_graph_theory/chung_1997_open_problems_paul_erdos_graph_theory/problem_80 https://erdosproblems.ai/wiki/library/extremal_graph_theory/codex_terpstra_2026_fixed_r10_r11_erdos_617 https://erdosproblems.ai/wiki/library/extremal_graph_theory/codex_terpstra_2026_fixed_r10_r11_erdos_617/codex_terpstra_2026_fixed_r10_r11_erdos_617 https://erdosproblems.ai/wiki/library/extremal_graph_theory/conlon_2014_cycle_packing https://erdosproblems.ai/wiki/library/extremal_graph_theory/conlon_2014_cycle_packing/theorem_1_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/conlon_2014_cycle_packing/theorem_1_3 https://erdosproblems.ai/wiki/library/extremal_graph_theory/conlon_2014_cycle_packing/theorem_1_4 https://erdosproblems.ai/wiki/library/extremal_graph_theory/conlon_2014_large_subgraphs_without_complete_bipartite_graphs https://erdosproblems.ai/wiki/library/extremal_graph_theory/conlon_2014_large_subgraphs_without_complete_bipartite_graphs/theorem_2_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/conlon_2014_large_subgraphs_without_complete_bipartite_graphs/theorem_2_3 https://erdosproblems.ai/wiki/library/extremal_graph_theory/conlon_2014_large_subgraphs_without_complete_bipartite_graphs/theorem_3_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/conlon_2014_large_subgraphs_without_complete_bipartite_graphs/theorem_3_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/conlon_2021_extremal_number_subdivisions https://erdosproblems.ai/wiki/library/extremal_graph_theory/conlon_2021_extremal_number_subdivisions/theorem_1_3 https://erdosproblems.ai/wiki/library/extremal_graph_theory/conlon_2021_extremal_number_subdivisions/theorem_4_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/conlon_2021_extremal_number_subdivisions/theorem_5_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/conlon_2021_more_extremal_number_subdivisions https://erdosproblems.ai/wiki/library/extremal_graph_theory/conlon_2021_more_extremal_number_subdivisions/corollary_1_13 https://erdosproblems.ai/wiki/library/extremal_graph_theory/conlon_2021_more_extremal_number_subdivisions/corollary_1_9 https://erdosproblems.ai/wiki/library/extremal_graph_theory/conlon_2021_more_extremal_number_subdivisions/corollary_7_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/conlon_2021_more_extremal_number_subdivisions/proposition_1_17 https://erdosproblems.ai/wiki/library/extremal_graph_theory/conlon_2021_more_extremal_number_subdivisions/theorem_1_12 https://erdosproblems.ai/wiki/library/extremal_graph_theory/conlon_2021_more_extremal_number_subdivisions/theorem_1_16 https://erdosproblems.ai/wiki/library/extremal_graph_theory/conlon_2021_more_extremal_number_subdivisions/theorem_1_18 https://erdosproblems.ai/wiki/library/extremal_graph_theory/conlon_2021_more_extremal_number_subdivisions/theorem_1_4 https://erdosproblems.ai/wiki/library/extremal_graph_theory/conlon_2021_more_extremal_number_subdivisions/theorem_1_8 https://erdosproblems.ai/wiki/library/extremal_graph_theory/conlon_2021_random_multilinear_maps_erdos_box_problem https://erdosproblems.ai/wiki/library/extremal_graph_theory/conlon_2021_random_multilinear_maps_erdos_box_problem/corollary_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/conlon_2021_random_multilinear_maps_erdos_box_problem/theorem_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/conlon_2022_rational_exponents_near_two https://erdosproblems.ai/wiki/library/extremal_graph_theory/conlon_2023_ramsey_numbers_zarankiewicz_problem https://erdosproblems.ai/wiki/library/extremal_graph_theory/cooper_et_al_2016_optimal_size_clique_transversals_chordal_graphs https://erdosproblems.ai/wiki/library/extremal_graph_theory/cooper_et_al_2016_optimal_size_clique_transversals_chordal_graphs/proposition_9 https://erdosproblems.ai/wiki/library/extremal_graph_theory/cooper_et_al_2016_optimal_size_clique_transversals_chordal_graphs/theorem_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/csaba_2025_ramsey_turan_problem_4_cliques https://erdosproblems.ai/wiki/library/extremal_graph_theory/csikvari_nagy_2014_density_turan_problem https://erdosproblems.ai/wiki/library/extremal_graph_theory/csikvari_nagy_2014_density_turan_problem/conjecture_5_7 https://erdosproblems.ai/wiki/library/extremal_graph_theory/csikvari_nagy_2014_density_turan_problem/corollary_3_10 https://erdosproblems.ai/wiki/library/extremal_graph_theory/csikvari_nagy_2014_density_turan_problem/corollary_4_5 https://erdosproblems.ai/wiki/library/extremal_graph_theory/csikvari_nagy_2014_density_turan_problem/counterexample_5_12 https://erdosproblems.ai/wiki/library/extremal_graph_theory/csikvari_nagy_2014_density_turan_problem/theorem_3_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/csikvari_nagy_2014_density_turan_problem/theorem_3_8 https://erdosproblems.ai/wiki/library/extremal_graph_theory/csikvari_nagy_2014_density_turan_problem/theorem_4_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/csikvari_nagy_2014_density_turan_problem/theorem_4_4 https://erdosproblems.ai/wiki/library/extremal_graph_theory/csikvari_nagy_2014_density_turan_problem/theorem_5_10 https://erdosproblems.ai/wiki/library/extremal_graph_theory/csikvari_nagy_2014_density_turan_problem/theorem_5_14 https://erdosproblems.ai/wiki/library/extremal_graph_theory/csikvari_nagy_2014_density_turan_problem/theorem_5_3 https://erdosproblems.ai/wiki/library/extremal_graph_theory/czabarka_2009_diameter_4_colourable_graphs https://erdosproblems.ai/wiki/library/extremal_graph_theory/czabarka_2009_diameter_4_colourable_graphs/theorem_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/czabarka_2021_counterexamples_conjecture_erdos_pach_pollack_tuza https://erdosproblems.ai/wiki/library/extremal_graph_theory/czabarka_2021_counterexamples_conjecture_erdos_pach_pollack_tuza/conjecture_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/czabarka_2021_counterexamples_conjecture_erdos_pach_pollack_tuza/theorem_11 https://erdosproblems.ai/wiki/library/extremal_graph_theory/czabarka_2021_counterexamples_conjecture_erdos_pach_pollack_tuza/theorem_3 https://erdosproblems.ai/wiki/library/extremal_graph_theory/czabarka_2021_counterexamples_conjecture_erdos_pach_pollack_tuza/theorem_4 https://erdosproblems.ai/wiki/library/extremal_graph_theory/czabarka_2021_counterexamples_conjecture_erdos_pach_pollack_tuza/theorem_6 https://erdosproblems.ai/wiki/library/extremal_graph_theory/czabarka_2023_maximum_diameter_3_4_colorable_graphs https://erdosproblems.ai/wiki/library/extremal_graph_theory/czabarka_2023_maximum_diameter_3_4_colorable_graphs/theorem_4 https://erdosproblems.ai/wiki/library/extremal_graph_theory/davey_2026_strong_edge_colouring_local_flag_algebras https://erdosproblems.ai/wiki/library/extremal_graph_theory/davey_2026_strong_edge_colouring_local_flag_algebras/theorem_1_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/devos_rollova_samal_2019_counting_flows_signed_graphs https://erdosproblems.ai/wiki/library/extremal_graph_theory/devos_rollova_samal_2019_counting_flows_signed_graphs/theorem_3 https://erdosproblems.ai/wiki/library/extremal_graph_theory/dibraccio_2026_leaf_to_leaf_paths_cycles_degree_critical_graphs https://erdosproblems.ai/wiki/library/extremal_graph_theory/didin_2026_asymptotic_solution_1_2_biased_erdos https://erdosproblems.ai/wiki/library/extremal_graph_theory/dirac_1960_in_abstrakten_graphen_vorhandene_vollstandige_4_graphen_und_ihre_unterteilungen https://erdosproblems.ai/wiki/library/extremal_graph_theory/dirac_1960_in_abstrakten_graphen_vorhandene_vollstandige_4_graphen_und_ihre_unterteilungen/satz_6 https://erdosproblems.ai/wiki/library/extremal_graph_theory/dirac_1963_extensions_turan_s_theorem_graphs https://erdosproblems.ai/wiki/library/extremal_graph_theory/dirac_1963_extensions_turan_s_theorem_graphs/theorem_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/dirac_1963_extensions_turan_s_theorem_graphs/theorem_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/dirac_1963_extensions_turan_s_theorem_graphs/theorem_3 https://erdosproblems.ai/wiki/library/extremal_graph_theory/dirac_1963_extensions_turan_s_theorem_graphs/theorem_4 https://erdosproblems.ai/wiki/library/extremal_graph_theory/dirac_1963_extensions_turan_s_theorem_graphs/theorem_5 https://erdosproblems.ai/wiki/library/extremal_graph_theory/diskin_samotij_2025_isoperimetry_product_graphs https://erdosproblems.ai/wiki/library/extremal_graph_theory/diskin_samotij_2025_isoperimetry_product_graphs/graph_powers_section_3_5 https://erdosproblems.ai/wiki/library/extremal_graph_theory/diskin_samotij_2025_isoperimetry_product_graphs/regular_products_section_3_4 https://erdosproblems.ai/wiki/library/extremal_graph_theory/diskin_samotij_2025_isoperimetry_product_graphs/theorem_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/diskin_samotij_2025_isoperimetry_product_graphs/theorem_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/draganic_2024_cycles_many_chords https://erdosproblems.ai/wiki/library/extremal_graph_theory/draganic_2025_cyclic_subsets_regular_dirac_graphs https://erdosproblems.ai/wiki/library/extremal_graph_theory/draganic_2025_cyclic_subsets_regular_dirac_graphs/conjecture_6_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/draganic_2025_cyclic_subsets_regular_dirac_graphs/external_inputs https://erdosproblems.ai/wiki/library/extremal_graph_theory/draganic_2025_cyclic_subsets_regular_dirac_graphs/lemma_2_3 https://erdosproblems.ai/wiki/library/extremal_graph_theory/draganic_2025_cyclic_subsets_regular_dirac_graphs/lemma_2_4 https://erdosproblems.ai/wiki/library/extremal_graph_theory/draganic_2025_cyclic_subsets_regular_dirac_graphs/lemma_2_5 https://erdosproblems.ai/wiki/library/extremal_graph_theory/draganic_2025_cyclic_subsets_regular_dirac_graphs/lemma_3_12 https://erdosproblems.ai/wiki/library/extremal_graph_theory/draganic_2025_cyclic_subsets_regular_dirac_graphs/lemma_3_4 https://erdosproblems.ai/wiki/library/extremal_graph_theory/draganic_2025_cyclic_subsets_regular_dirac_graphs/lemma_3_5 https://erdosproblems.ai/wiki/library/extremal_graph_theory/draganic_2025_cyclic_subsets_regular_dirac_graphs/lemma_3_6 https://erdosproblems.ai/wiki/library/extremal_graph_theory/draganic_2025_cyclic_subsets_regular_dirac_graphs/lemma_3_7 https://erdosproblems.ai/wiki/library/extremal_graph_theory/draganic_2025_cyclic_subsets_regular_dirac_graphs/lemma_3_8 https://erdosproblems.ai/wiki/library/extremal_graph_theory/draganic_2025_cyclic_subsets_regular_dirac_graphs/lemma_3_9 https://erdosproblems.ai/wiki/library/extremal_graph_theory/draganic_2025_cyclic_subsets_regular_dirac_graphs/lemma_4_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/draganic_2025_cyclic_subsets_regular_dirac_graphs/lemma_4_3 https://erdosproblems.ai/wiki/library/extremal_graph_theory/draganic_2025_cyclic_subsets_regular_dirac_graphs/lemma_4_4 https://erdosproblems.ai/wiki/library/extremal_graph_theory/draganic_2025_cyclic_subsets_regular_dirac_graphs/lemma_4_6 https://erdosproblems.ai/wiki/library/extremal_graph_theory/draganic_2025_cyclic_subsets_regular_dirac_graphs/lemma_4_7 https://erdosproblems.ai/wiki/library/extremal_graph_theory/draganic_2025_cyclic_subsets_regular_dirac_graphs/lemma_5_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/draganic_2025_cyclic_subsets_regular_dirac_graphs/lemma_5_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/draganic_2025_cyclic_subsets_regular_dirac_graphs/proposition_1_3 https://erdosproblems.ai/wiki/library/extremal_graph_theory/draganic_2025_cyclic_subsets_regular_dirac_graphs/remarks_p14 https://erdosproblems.ai/wiki/library/extremal_graph_theory/draganic_2025_cyclic_subsets_regular_dirac_graphs/remarks_p2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/draganic_2025_cyclic_subsets_regular_dirac_graphs/theorem_1_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/draganic_2025_cyclic_subsets_regular_dirac_graphs/theorem_2_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/draganic_2025_cyclic_subsets_regular_dirac_graphs/theorem_4_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/draganic_girao_2026_cycles_almost_linearly_many_chords https://erdosproblems.ai/wiki/library/extremal_graph_theory/draganic_girao_2026_cycles_almost_linearly_many_chords/conjecture_5_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/draganic_girao_2026_cycles_almost_linearly_many_chords/theorem_1_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/duke_1982_subgraphs_which_each_pair_edges_lies https://erdosproblems.ai/wiki/library/extremal_graph_theory/duke_1982_subgraphs_which_each_pair_edges_lies/corollary_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/duke_1982_subgraphs_which_each_pair_edges_lies/corollary_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/duke_1982_subgraphs_which_each_pair_edges_lies/remark_p258 https://erdosproblems.ai/wiki/library/extremal_graph_theory/duke_1982_subgraphs_which_each_pair_edges_lies/theorem_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/duke_1984_more_results_subgraphs_many_short_cycles https://erdosproblems.ai/wiki/library/extremal_graph_theory/duke_1984_more_results_subgraphs_many_short_cycles/remark_p295 https://erdosproblems.ai/wiki/library/extremal_graph_theory/duke_1984_more_results_subgraphs_many_short_cycles/theorem_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/duke_1984_more_results_subgraphs_many_short_cycles/theorem_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/duke_1984_more_results_subgraphs_many_short_cycles/theorem_3 https://erdosproblems.ai/wiki/library/extremal_graph_theory/duke_1992_cycle_connected_graphs https://erdosproblems.ai/wiki/library/extremal_graph_theory/duke_1992_cycle_connected_graphs/remark_p262 https://erdosproblems.ai/wiki/library/extremal_graph_theory/duke_1992_cycle_connected_graphs/remark_p277 https://erdosproblems.ai/wiki/library/extremal_graph_theory/duke_1992_cycle_connected_graphs/theorem_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/duke_1992_cycle_connected_graphs/theorem_10 https://erdosproblems.ai/wiki/library/extremal_graph_theory/duke_1992_cycle_connected_graphs/theorem_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/duke_1992_cycle_connected_graphs/theorem_3 https://erdosproblems.ai/wiki/library/extremal_graph_theory/duke_1992_cycle_connected_graphs/theorem_5 https://erdosproblems.ai/wiki/library/extremal_graph_theory/duke_1992_cycle_connected_graphs/theorem_6 https://erdosproblems.ai/wiki/library/extremal_graph_theory/duke_1992_cycle_connected_graphs/theorem_7 https://erdosproblems.ai/wiki/library/extremal_graph_theory/duke_1992_cycle_connected_graphs/theorem_8 https://erdosproblems.ai/wiki/library/extremal_graph_theory/dvorak_et_al_2025_lollipops_dense_cycles_chords https://erdosproblems.ai/wiki/library/extremal_graph_theory/dyson_2026_ramsey_numbers_regular_induced_subgraphs https://erdosproblems.ai/wiki/library/extremal_graph_theory/dyson_2026_ramsey_numbers_regular_induced_subgraphs/theorem_1_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/dyson_2026_ramsey_numbers_regular_induced_subgraphs/theorem_1_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/dyson_2026_ramsey_numbers_regular_induced_subgraphs/theorem_2_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/dyson_2026_ramsey_numbers_regular_induced_subgraphs/theorem_4_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/dyson_2026_ramsey_numbers_regular_induced_subgraphs/theorem_4_3 https://erdosproblems.ai/wiki/library/extremal_graph_theory/dyson_2026_ramsey_numbers_regular_induced_subgraphs/theorem_4_4 https://erdosproblems.ai/wiki/library/extremal_graph_theory/edmonds_1965_maximum_matching_polyhedron https://erdosproblems.ai/wiki/library/extremal_graph_theory/edmonds_1965_maximum_matching_polyhedron/blossom_contraction https://erdosproblems.ai/wiki/library/extremal_graph_theory/edmonds_1965_maximum_matching_polyhedron/capacity_extensions https://erdosproblems.ai/wiki/library/extremal_graph_theory/edmonds_1965_maximum_matching_polyhedron/complexity_scope https://erdosproblems.ai/wiki/library/extremal_graph_theory/edmonds_1965_maximum_matching_polyhedron/definitions https://erdosproblems.ai/wiki/library/extremal_graph_theory/edmonds_1965_maximum_matching_polyhedron/dual_adjustment https://erdosproblems.ai/wiki/library/extremal_graph_theory/edmonds_1965_maximum_matching_polyhedron/dual_certificate https://erdosproblems.ai/wiki/library/extremal_graph_theory/edmonds_1965_maximum_matching_polyhedron/dual_sparsity https://erdosproblems.ai/wiki/library/extremal_graph_theory/edmonds_1965_maximum_matching_polyhedron/external_inputs https://erdosproblems.ai/wiki/library/extremal_graph_theory/edmonds_1965_maximum_matching_polyhedron/finite_termination https://erdosproblems.ai/wiki/library/extremal_graph_theory/edmonds_1965_maximum_matching_polyhedron/inner_expansion https://erdosproblems.ai/wiki/library/extremal_graph_theory/edmonds_1965_maximum_matching_polyhedron/path_updates https://erdosproblems.ai/wiki/library/extremal_graph_theory/edmonds_1965_maximum_matching_polyhedron/specified_optimum https://erdosproblems.ai/wiki/library/extremal_graph_theory/edmonds_1965_maximum_matching_polyhedron/theorem_m https://erdosproblems.ai/wiki/library/extremal_graph_theory/edmonds_1965_maximum_matching_polyhedron/theorem_p https://erdosproblems.ai/wiki/library/extremal_graph_theory/edmonds_1965_maximum_matching_polyhedron/weighted_algorithm https://erdosproblems.ai/wiki/library/extremal_graph_theory/edmonds_1965_maximum_matching_polyhedron/weighted_hierarchy https://erdosproblems.ai/wiki/library/extremal_graph_theory/edmonds_1965_paths_trees_flowers https://erdosproblems.ai/wiki/library/extremal_graph_theory/edmonds_1965_paths_trees_flowers/cardinality_lp https://erdosproblems.ai/wiki/library/extremal_graph_theory/edmonds_1965_paths_trees_flowers/complexity_scope https://erdosproblems.ai/wiki/library/extremal_graph_theory/edmonds_1965_paths_trees_flowers/contraction_structure https://erdosproblems.ai/wiki/library/extremal_graph_theory/edmonds_1965_paths_trees_flowers/corollary_5_9 https://erdosproblems.ai/wiki/library/extremal_graph_theory/edmonds_1965_paths_trees_flowers/corollary_6_7 https://erdosproblems.ai/wiki/library/extremal_graph_theory/edmonds_1965_paths_trees_flowers/definitions https://erdosproblems.ai/wiki/library/extremal_graph_theory/edmonds_1965_paths_trees_flowers/edge_cover https://erdosproblems.ai/wiki/library/extremal_graph_theory/edmonds_1965_paths_trees_flowers/external_inputs https://erdosproblems.ai/wiki/library/extremal_graph_theory/edmonds_1965_paths_trees_flowers/forest_algorithm https://erdosproblems.ai/wiki/library/extremal_graph_theory/edmonds_1965_paths_trees_flowers/forest_reduction https://erdosproblems.ai/wiki/library/extremal_graph_theory/edmonds_1965_paths_trees_flowers/lemma_3_5 https://erdosproblems.ai/wiki/library/extremal_graph_theory/edmonds_1965_paths_trees_flowers/lemma_4_13 https://erdosproblems.ai/wiki/library/extremal_graph_theory/edmonds_1965_paths_trees_flowers/lemma_4_14 https://erdosproblems.ai/wiki/library/extremal_graph_theory/edmonds_1965_paths_trees_flowers/lemma_4_15 https://erdosproblems.ai/wiki/library/extremal_graph_theory/edmonds_1965_paths_trees_flowers/lemma_4_17 https://erdosproblems.ai/wiki/library/extremal_graph_theory/edmonds_1965_paths_trees_flowers/lemma_4_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/edmonds_1965_paths_trees_flowers/lemma_4_3 https://erdosproblems.ai/wiki/library/extremal_graph_theory/edmonds_1965_paths_trees_flowers/lemma_4_5 https://erdosproblems.ai/wiki/library/extremal_graph_theory/edmonds_1965_paths_trees_flowers/lemma_4_7 https://erdosproblems.ai/wiki/library/extremal_graph_theory/edmonds_1965_paths_trees_flowers/lemma_5_7 https://erdosproblems.ai/wiki/library/extremal_graph_theory/edmonds_1965_paths_trees_flowers/lemma_7_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/edmonds_1965_paths_trees_flowers/matching_decomposition https://erdosproblems.ai/wiki/library/extremal_graph_theory/edmonds_1965_paths_trees_flowers/maximum_matching_algorithm https://erdosproblems.ai/wiki/library/extremal_graph_theory/edmonds_1965_paths_trees_flowers/refinement_7_3 https://erdosproblems.ai/wiki/library/extremal_graph_theory/edmonds_1965_paths_trees_flowers/theorem_3_7 https://erdosproblems.ai/wiki/library/extremal_graph_theory/edmonds_1965_paths_trees_flowers/theorem_4_12 https://erdosproblems.ai/wiki/library/extremal_graph_theory/edmonds_1965_paths_trees_flowers/theorem_5_6 https://erdosproblems.ai/wiki/library/extremal_graph_theory/edmonds_1965_paths_trees_flowers/theorem_6_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/edwards_1973_extremal_properties_bipartite_subgraphs https://erdosproblems.ai/wiki/library/extremal_graph_theory/edwards_1973_extremal_properties_bipartite_subgraphs/theorem_10 https://erdosproblems.ai/wiki/library/extremal_graph_theory/edwards_1973_extremal_properties_bipartite_subgraphs/theorem_12 https://erdosproblems.ai/wiki/library/extremal_graph_theory/edwards_1973_extremal_properties_bipartite_subgraphs/theorem_9 https://erdosproblems.ai/wiki/library/extremal_graph_theory/elzahar_1985_existence_two_nonneighboring_subgraphs_graph https://erdosproblems.ai/wiki/library/extremal_graph_theory/elzahar_1985_existence_two_nonneighboring_subgraphs_graph/corollary_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/elzahar_1985_existence_two_nonneighboring_subgraphs_graph/corollary_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/elzahar_1985_existence_two_nonneighboring_subgraphs_graph/corollary_3 https://erdosproblems.ai/wiki/library/extremal_graph_theory/elzahar_1985_existence_two_nonneighboring_subgraphs_graph/theorem_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/elzahar_1985_existence_two_nonneighboring_subgraphs_graph/theorem_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/elzahar_1985_existence_two_nonneighboring_subgraphs_graph/theorem_4 https://erdosproblems.ai/wiki/library/extremal_graph_theory/elzahar_1985_existence_two_nonneighboring_subgraphs_graph/theorem_5 https://erdosproblems.ai/wiki/library/extremal_graph_theory/entringer_1972_number_unique_subgraphs_graph https://erdosproblems.ai/wiki/library/extremal_graph_theory/entringer_1972_number_unique_subgraphs_graph/theorem_p113 https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1959_maximal_paths_circuits_graphs https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1959_maximal_paths_circuits_graphs/theorem_2_6 https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1959_maximal_paths_circuits_graphs/theorem_2_7 https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1959_maximal_paths_circuits_graphs/theorem_3_6 https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1959_maximal_paths_circuits_graphs/theorem_4_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1960_evolution_random_graphs https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1962_construction_certain_graphs https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1962_construction_certain_graphs/theorem_section_3 https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1962_remarks_paper_posa https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1962_remarks_paper_posa/theorem_p227 https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1962_remarks_paper_posa/theorem_p228 https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1962_theorem_rademacher_turan https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1962_theorem_rademacher_turan/lemma_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1962_theorem_rademacher_turan/theorem https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1963_problem_graph_theory https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1963_problem_graph_theory/inequality_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1963_problem_graph_theory/inequality_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1964_extremal_problems_graph_theory https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1964_extremal_problems_graph_theory/assertion_p33 https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1964_extremal_problems_graph_theory/conjecture_p33 https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1964_extremal_problems_graph_theory/problem_p35 https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1964_extremal_problems_graph_theory/problem_p36 https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1964_extremal_problems_graph_theory/theorem_p31 https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1964_extremal_problems_graph_theory/theorem_p34 https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1964_extremal_problems_graphs_generalized_graphs https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1964_extremal_problems_graphs_generalized_graphs/theorem_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1966_cliques_graphs https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1966_cliques_graphs/theorem https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1966_existence_factor_degree_one_connected_random https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1966_existence_factor_degree_one_connected_random/theorem_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1966_problem_graph_theory https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1966_problem_graph_theory/corollary_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1966_problem_graph_theory/theorem_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1966_representation_graph_set_intersections https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1966_representation_graph_set_intersections/section_5 https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1966_representation_graph_set_intersections/section_5_question_i https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1966_representation_graph_set_intersections/theorem_4 https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1967_extremal_problems_graph_theory https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1967_extremal_problems_graph_theory/conjecture_p56 https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1967_extremal_problems_graph_theory/conjecture_p57 https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1967_extremal_problems_graph_theory/question_p57 https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1967_recent_results_extremal_problems_graph_theory https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1967_recent_results_extremal_problems_graph_theory/equation_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1967_recent_results_extremal_problems_graph_theory/equation_3 https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1967_recent_results_extremal_problems_graph_theory/equation_5 https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1967_recent_results_extremal_problems_graph_theory/equation_7 https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1967_recent_results_extremal_problems_graph_theory/equation_9 https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1967_recent_results_extremal_problems_graph_theory/remark_p120 https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1967_recent_results_extremal_problems_graph_theory/theorem_p118 https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1967_recent_results_extremal_problems_graph_theory/theorem_p123 https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1969_uber_die_graphen_enthaltenen_saturierten_planaren https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1969_uber_die_graphen_enthaltenen_saturierten_planaren/conjecture_p17 https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1969_uber_die_graphen_enthaltenen_saturierten_planaren/lemma_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1969_uber_die_graphen_enthaltenen_saturierten_planaren/satz_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1969_uber_die_graphen_enthaltenen_saturierten_planaren/satz_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1969_uber_die_graphen_enthaltenen_saturierten_planaren/satz_3 https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1969_uber_die_graphen_enthaltenen_saturierten_planaren/satz_4 https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1969_uber_die_graphen_enthaltenen_saturierten_planaren/satz_5 https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1970_extremal_problems_graph_theory https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1970_extremal_problems_graph_theory/equation_4 https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1970_extremal_problems_graph_theory/equation_5 https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1970_extremal_problems_graph_theory/question_p388 https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1970_extremal_problems_graph_theory/question_p389 https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1970_extremal_problems_graph_theory/theorem_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1971_unsolved_problems_graph_theory_combinatorial_analysis https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1971_unsolved_problems_graph_theory_combinatorial_analysis/item_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1971_unsolved_problems_graph_theory_combinatorial_analysis/item_10 https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1971_unsolved_problems_graph_theory_combinatorial_analysis/item_11 https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1971_unsolved_problems_graph_theory_combinatorial_analysis/item_12 https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1971_unsolved_problems_graph_theory_combinatorial_analysis/item_13 https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1971_unsolved_problems_graph_theory_combinatorial_analysis/item_15 https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1971_unsolved_problems_graph_theory_combinatorial_analysis/item_24 https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1971_unsolved_problems_graph_theory_combinatorial_analysis/item_3 https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1971_unsolved_problems_graph_theory_combinatorial_analysis/item_4 https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1971_unsolved_problems_graph_theory_combinatorial_analysis/item_5 https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1971_unsolved_problems_graph_theory_combinatorial_analysis/item_7 https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1974_extremal_problems_graphs_hypergraphs https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1974_extremal_problems_graphs_hypergraphs/equation_5 https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1974_extremal_problems_graphs_hypergraphs/equation_7 https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1975_recent_progress_extremal_problems_graph_theory https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1975_recent_progress_extremal_problems_graph_theory/conjecture_p11 https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1975_recent_progress_extremal_problems_graph_theory/conjecture_p12 https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1975_recent_progress_extremal_problems_graph_theory/conjecture_p13 https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1975_recent_progress_extremal_problems_graph_theory/conjecture_p13_diagonals https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1975_recent_progress_extremal_problems_graph_theory/problem_p10 https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1975_recent_progress_extremal_problems_graph_theory/problem_p13 https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1975_recent_progress_extremal_problems_graph_theory/problem_p14 https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1975_recent_progress_extremal_problems_graph_theory/problem_p14_bipartite https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1975_recent_progress_extremal_problems_graph_theory/problem_p7 https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1975_recent_progress_extremal_problems_graph_theory/problem_p8 https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1976_problems_results_combinatorial_analysis https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1976_problems_results_combinatorial_analysis/conjecture_p15 https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1976_problems_results_graph_theory_combinatorial_analysis https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1976_problems_results_graph_theory_combinatorial_analysis/problem_29 https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1976_problems_results_graph_theory_combinatorial_analysis/problem_8 https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1978_problems_results_combinatorial_analysis_combinatorial_number https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1978_problems_results_combinatorial_analysis_combinatorial_number/conjecture_5 https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1978_problems_results_combinatorial_analysis_combinatorial_number/problem_p31 https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1978_problems_results_combinatorial_analysis_combinatorial_number/theorem_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1981_conjecture_hajos https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1981_conjecture_hajos/conjecture_p143 https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1981_conjecture_hajos/lemma_p142 https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1981_conjecture_hajos/theorem_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1981_conjecture_hajos/theorem_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1981_conjecture_hajos/theorem_3 https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1982_compactness_results_extremal_graph_theory https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1982_compactness_results_extremal_graph_theory/conjecture_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1982_compactness_results_extremal_graph_theory/theorem_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1983_some_my_conjectures_number_theory_combinatorics https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1983_some_my_conjectures_number_theory_combinatorics/conjecture_p15 https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1984_cube_supersaturated_graphs_related_problems https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1984_cube_supersaturated_graphs_related_problems/conjecture_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1984_cube_supersaturated_graphs_related_problems/conjecture_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1984_cube_supersaturated_graphs_related_problems/conjecture_2_star https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1984_cube_supersaturated_graphs_related_problems/definition_p204 https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1984_cube_supersaturated_graphs_related_problems/theorem_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1984_cube_supersaturated_graphs_related_problems/theorem_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1984_cube_supersaturated_graphs_related_problems/theorem_3 https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1984_cube_supersaturated_graphs_related_problems/theorem_4 https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1985_note_size_chordal_subgraph https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1985_note_size_chordal_subgraph/theorem_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1985_note_size_chordal_subgraph/theorem_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1986_asymptotic_number_graphs_not_containing_fixed https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1986_asymptotic_number_graphs_not_containing_fixed/problem_6_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1986_asymptotic_number_graphs_not_containing_fixed/proposition_6_3 https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1986_asymptotic_number_graphs_not_containing_fixed/theorem_1_5 https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1986_asymptotic_number_graphs_not_containing_fixed/theorem_1_5_prime https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1986_asymptotic_number_graphs_not_containing_fixed/theorem_1_6 https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1986_asymptotic_number_graphs_not_containing_fixed/theorem_1_7 https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1988_cycles_graphs_without_proper_subgraphs_minimum https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1988_cycles_graphs_without_proper_subgraphs_minimum/conjecture_p195 https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1988_cycles_graphs_without_proper_subgraphs_minimum/theorem_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1988_cycles_graphs_without_proper_subgraphs_minimum/theorem_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1988_cycles_graphs_without_proper_subgraphs_minimum/theorem_3 https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1988_cycles_graphs_without_proper_subgraphs_minimum/theorem_4 https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1988_cycles_graphs_without_proper_subgraphs_minimum/theorem_5 https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1988_problems_results_combinatorial_analysis_graph_theory https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1988_problems_results_combinatorial_analysis_graph_theory/problem_p85 https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1988_problems_results_combinatorial_analysis_graph_theory/problem_p90 https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1989_number_distinct_induced_subgraphs_graph https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1989_number_distinct_induced_subgraphs_graph/theorem_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1989_number_distinct_induced_subgraphs_graph/theorem_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1989_radius https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1989_radius/conjecture_p78 https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1989_radius/theorem_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1989_radius/theorem_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1989_radius/theorem_3 https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1990_subgraphs_minimal_degree_k https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1990_subgraphs_minimal_degree_k/conjecture_p54 https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1990_subgraphs_minimal_degree_k/lemma_3 https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1990_subgraphs_minimal_degree_k/lemma_4 https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1990_subgraphs_minimal_degree_k/theorem_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1992_covering_cliques_graph_vertices https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1992_covering_cliques_graph_vertices/note_added_in_proof https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1992_covering_cliques_graph_vertices/problem_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1992_covering_cliques_graph_vertices/problem_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1992_covering_cliques_graph_vertices/problem_3 https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1992_covering_cliques_graph_vertices/theorem_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1992_covering_cliques_graph_vertices/theorem_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1992_covering_cliques_graph_vertices/theorem_5 https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1992_my_favourite_problems_various_branches_combinatorics https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1993_my_favorite_solved_unsolved_problems_graph_theory https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1997_cycles_coprime_graph_integers https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1997_cycles_coprime_graph_integers/theorem_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1997_cycles_coprime_graph_integers/theorem_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1997_cycles_coprime_graph_integers/theorem_3 https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1997_size_largest_bipartite_subgraphs https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1997_size_largest_bipartite_subgraphs/corollary_3 https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1997_size_largest_bipartite_subgraphs/lemma_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1997_size_largest_bipartite_subgraphs/proposition_5 https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1997_size_largest_bipartite_subgraphs/theorem_4 https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1997_some_unsolved_problems https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1998_decrease_diameter_triangle_free_graphs https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1998_decrease_diameter_triangle_free_graphs/corollary_2_7 https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1998_decrease_diameter_triangle_free_graphs/corollary_2_8 https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1998_decrease_diameter_triangle_free_graphs/corollary_3_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1998_decrease_diameter_triangle_free_graphs/lemma_2_4 https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1998_decrease_diameter_triangle_free_graphs/lemma_2_5 https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1998_decrease_diameter_triangle_free_graphs/problem_4_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1998_decrease_diameter_triangle_free_graphs/problem_4_3 https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1998_decrease_diameter_triangle_free_graphs/theorem_2_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1998_decrease_diameter_triangle_free_graphs/theorem_2_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1998_decrease_diameter_triangle_free_graphs/theorem_2_3 https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1998_decrease_diameter_triangle_free_graphs/theorem_2_6 https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1998_decrease_diameter_triangle_free_graphs/theorem_3_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1998_decrease_diameter_triangle_free_graphs/theorem_3_3 https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1998_decrease_diameter_triangle_free_graphs/theorem_4_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_1998_decrease_diameter_triangle_free_graphs/theorem_4_4 https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_gyarfas_1999_split_balanced_colorings_complete_graphs https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_gyarfas_1999_split_balanced_colorings_complete_graphs/conjecture_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_gyarfas_1999_split_balanced_colorings_complete_graphs/construction_p80 https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_gyarfas_1999_split_balanced_colorings_complete_graphs/lemma_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_gyarfas_1999_split_balanced_colorings_complete_graphs/lemma_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_gyarfas_1999_split_balanced_colorings_complete_graphs/proposition_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_gyarfas_1999_split_balanced_colorings_complete_graphs/proposition_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_gyarfas_1999_split_balanced_colorings_complete_graphs/proposition_3 https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_gyarfas_1999_split_balanced_colorings_complete_graphs/proposition_4 https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_gyarfas_1999_split_balanced_colorings_complete_graphs/theorem_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_gyarfas_1999_split_balanced_colorings_complete_graphs/theorem_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_gyarfas_1999_split_balanced_colorings_complete_graphs/theorem_3 https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_gyarfas_1999_split_balanced_colorings_complete_graphs/theorem_4 https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_gyarfas_1999_split_balanced_colorings_complete_graphs/theorem_5 https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_gyarfas_1999_split_balanced_colorings_complete_graphs/theorem_6 https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_harary_tutte_1965_dimension_graph https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_harary_tutte_1965_dimension_graph/complete_bipartite_graphs_p119 https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_harary_tutte_1965_dimension_graph/complete_graphs_p118 https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_harary_tutte_1965_dimension_graph/theorem_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/erdos_harary_tutte_1965_dimension_graph/theorem_5 https://erdosproblems.ai/wiki/library/extremal_graph_theory/fan_1987_diameter_2_critical_graphs https://erdosproblems.ai/wiki/library/extremal_graph_theory/fan_1987_diameter_2_critical_graphs/theorem https://erdosproblems.ai/wiki/library/extremal_graph_theory/fan_1988_degree_sum_triangle_graph https://erdosproblems.ai/wiki/library/extremal_graph_theory/fan_1988_degree_sum_triangle_graph/lemma_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/fan_1988_degree_sum_triangle_graph/theorem_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/fan_1988_degree_sum_triangle_graph/theorem_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/fan_1988_degree_sum_triangle_graph/theorem_3 https://erdosproblems.ai/wiki/library/extremal_graph_theory/fan_1988_degree_sum_triangle_graph/upper_bound_p251 https://erdosproblems.ai/wiki/library/extremal_graph_theory/fan_2005_path_decompositions_gallai_s_conjecture https://erdosproblems.ai/wiki/library/extremal_graph_theory/fan_2005_path_decompositions_gallai_s_conjecture/corollary https://erdosproblems.ai/wiki/library/extremal_graph_theory/fan_2005_path_decompositions_gallai_s_conjecture/main_theorem https://erdosproblems.ai/wiki/library/extremal_graph_theory/faron_2019_clique_number_square_line_graph_relation https://erdosproblems.ai/wiki/library/extremal_graph_theory/faron_2019_clique_number_square_line_graph_relation/corollary_1_10 https://erdosproblems.ai/wiki/library/extremal_graph_theory/faron_2019_clique_number_square_line_graph_relation/corollary_1_11 https://erdosproblems.ai/wiki/library/extremal_graph_theory/faron_2019_clique_number_square_line_graph_relation/theorem_1_12 https://erdosproblems.ai/wiki/library/extremal_graph_theory/faron_2019_clique_number_square_line_graph_relation/theorem_1_6 https://erdosproblems.ai/wiki/library/extremal_graph_theory/faron_2019_clique_number_square_line_graph_relation/theorem_1_7 https://erdosproblems.ai/wiki/library/extremal_graph_theory/faron_2019_clique_number_square_line_graph_relation/theorem_1_9 https://erdosproblems.ai/wiki/library/extremal_graph_theory/faudree_1989_induced_matchings_bipartite_graphs https://erdosproblems.ai/wiki/library/extremal_graph_theory/faudree_1989_induced_matchings_bipartite_graphs/problem_p83 https://erdosproblems.ai/wiki/library/extremal_graph_theory/faudree_1989_induced_matchings_bipartite_graphs/theorem_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/fishburn_1983_balanced_integer_arrays_matrix_packing_theorem https://erdosproblems.ai/wiki/library/extremal_graph_theory/fishburn_1983_balanced_integer_arrays_matrix_packing_theorem/proposition_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/fishburn_1983_balanced_integer_arrays_matrix_packing_theorem/theorem_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/fomin_2012_treewidth_computation_extremal_combinatorics https://erdosproblems.ai/wiki/library/extremal_graph_theory/fomin_2012_treewidth_computation_extremal_combinatorics/lemma_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/fomin_2012_treewidth_computation_extremal_combinatorics/theorem_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/fomin_2012_treewidth_computation_extremal_combinatorics/theorem_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/fomin_2012_treewidth_computation_extremal_combinatorics/theorem_3 https://erdosproblems.ai/wiki/library/extremal_graph_theory/fomin_2012_treewidth_computation_extremal_combinatorics/theorem_4 https://erdosproblems.ai/wiki/library/extremal_graph_theory/fomin_2012_treewidth_computation_extremal_combinatorics/theorem_5 https://erdosproblems.ai/wiki/library/extremal_graph_theory/ford_1956_maximal_flow_through_network https://erdosproblems.ai/wiki/library/extremal_graph_theory/ford_1956_maximal_flow_through_network/capacity_shift https://erdosproblems.ai/wiki/library/extremal_graph_theory/ford_1956_maximal_flow_through_network/cut_structure https://erdosproblems.ai/wiki/library/extremal_graph_theory/ford_1956_maximal_flow_through_network/definitions https://erdosproblems.ai/wiki/library/extremal_graph_theory/ford_1956_maximal_flow_through_network/external_inputs https://erdosproblems.ai/wiki/library/extremal_graph_theory/ford_1956_maximal_flow_through_network/lemma_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/ford_1956_maximal_flow_through_network/lemma_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/ford_1956_maximal_flow_through_network/lemma_3 https://erdosproblems.ai/wiki/library/extremal_graph_theory/ford_1956_maximal_flow_through_network/maximum_flow_attainment https://erdosproblems.ai/wiki/library/extremal_graph_theory/ford_1956_maximal_flow_through_network/multiple_terminals https://erdosproblems.ai/wiki/library/extremal_graph_theory/ford_1956_maximal_flow_through_network/non_ab_planar_counterexample https://erdosproblems.ai/wiki/library/extremal_graph_theory/ford_1956_maximal_flow_through_network/nonnegative_capacities https://erdosproblems.ai/wiki/library/extremal_graph_theory/ford_1956_maximal_flow_through_network/planar_algorithm https://erdosproblems.ai/wiki/library/extremal_graph_theory/ford_1956_maximal_flow_through_network/planar_cut_recovery https://erdosproblems.ai/wiki/library/extremal_graph_theory/ford_1956_maximal_flow_through_network/prescribed_pair_counterexample https://erdosproblems.ai/wiki/library/extremal_graph_theory/ford_1956_maximal_flow_through_network/rerouting https://erdosproblems.ai/wiki/library/extremal_graph_theory/ford_1956_maximal_flow_through_network/shortest_path_duality https://erdosproblems.ai/wiki/library/extremal_graph_theory/ford_1956_maximal_flow_through_network/theorem_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/ford_1956_maximal_flow_through_network/theorem_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/ford_1956_maximal_flow_through_network/uniform_orientation https://erdosproblems.ai/wiki/library/extremal_graph_theory/ford_1957_maximal_network_flows_hitchcock https://erdosproblems.ai/wiki/library/extremal_graph_theory/ford_1957_maximal_network_flows_hitchcock/array_algorithm https://erdosproblems.ai/wiki/library/extremal_graph_theory/ford_1957_maximal_network_flows_hitchcock/cut_bound https://erdosproblems.ai/wiki/library/extremal_graph_theory/ford_1957_maximal_network_flows_hitchcock/definitions https://erdosproblems.ai/wiki/library/extremal_graph_theory/ford_1957_maximal_network_flows_hitchcock/external_context https://erdosproblems.ai/wiki/library/extremal_graph_theory/ford_1957_maximal_network_flows_hitchcock/hitchcock_algorithm https://erdosproblems.ai/wiki/library/extremal_graph_theory/ford_1957_maximal_network_flows_hitchcock/integer_max_flow_min_cut https://erdosproblems.ai/wiki/library/extremal_graph_theory/ford_1957_maximal_network_flows_hitchcock/lemma_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/ford_1957_maximal_network_flows_hitchcock/lemma_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/ford_1957_maximal_network_flows_hitchcock/lemma_3 https://erdosproblems.ai/wiki/library/extremal_graph_theory/ford_1957_maximal_network_flows_hitchcock/mixed_node_cuts https://erdosproblems.ai/wiki/library/extremal_graph_theory/ford_1957_maximal_network_flows_hitchcock/multiple_terminals https://erdosproblems.ai/wiki/library/extremal_graph_theory/ford_1957_maximal_network_flows_hitchcock/node_capacities https://erdosproblems.ai/wiki/library/extremal_graph_theory/ford_1957_maximal_network_flows_hitchcock/partial_transportation https://erdosproblems.ai/wiki/library/extremal_graph_theory/ford_1957_maximal_network_flows_hitchcock/potential_update https://erdosproblems.ai/wiki/library/extremal_graph_theory/ford_1957_maximal_network_flows_hitchcock/rational_capacities https://erdosproblems.ai/wiki/library/extremal_graph_theory/ford_1957_maximal_network_flows_hitchcock/reduced_cost_certificate https://erdosproblems.ai/wiki/library/extremal_graph_theory/ford_1957_maximal_network_flows_hitchcock/residual_augmentation https://erdosproblems.ai/wiki/library/extremal_graph_theory/ford_1957_maximal_network_flows_hitchcock/transportation_definitions https://erdosproblems.ai/wiki/library/extremal_graph_theory/ford_1957_maximal_network_flows_hitchcock/undirected_networks https://erdosproblems.ai/wiki/library/extremal_graph_theory/fox_2008_problem_duke_erdos_rodl_cycle https://erdosproblems.ai/wiki/library/extremal_graph_theory/fox_2008_problem_duke_erdos_rodl_cycle/remark_p1061 https://erdosproblems.ai/wiki/library/extremal_graph_theory/fox_2008_problem_duke_erdos_rodl_cycle/theorem_1_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/fox_2008_problem_duke_erdos_rodl_cycle/theorem_3_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/fox_2013_chromatic_number_clique_subdivisions_conjectures_hajos https://erdosproblems.ai/wiki/library/extremal_graph_theory/fox_2013_chromatic_number_clique_subdivisions_conjectures_hajos/theorem_1_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/fox_2013_chromatic_number_clique_subdivisions_conjectures_hajos/theorem_1_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/fox_2013_chromatic_number_clique_subdivisions_conjectures_hajos/theorem_3_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/fox_2015_critical_window_classical_ramsey_turan_problem https://erdosproblems.ai/wiki/library/extremal_graph_theory/fox_2015_critical_window_classical_ramsey_turan_problem/theorem_1_10 https://erdosproblems.ai/wiki/library/extremal_graph_theory/fox_2015_critical_window_classical_ramsey_turan_problem/theorem_1_11 https://erdosproblems.ai/wiki/library/extremal_graph_theory/fox_2015_critical_window_classical_ramsey_turan_problem/theorem_1_5 https://erdosproblems.ai/wiki/library/extremal_graph_theory/fox_2015_critical_window_classical_ramsey_turan_problem/theorem_1_6 https://erdosproblems.ai/wiki/library/extremal_graph_theory/fox_2015_critical_window_classical_ramsey_turan_problem/theorem_1_7 https://erdosproblems.ai/wiki/library/extremal_graph_theory/fox_2015_critical_window_classical_ramsey_turan_problem/theorem_1_8 https://erdosproblems.ai/wiki/library/extremal_graph_theory/fox_2015_critical_window_classical_ramsey_turan_problem/theorem_1_9 https://erdosproblems.ai/wiki/library/extremal_graph_theory/frankl_1984_exact_result_graphs https://erdosproblems.ai/wiki/library/extremal_graph_theory/frankl_1984_exact_result_graphs/example_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/frankl_1984_exact_result_graphs/theorem_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/frankl_1984_exact_result_graphs/theorem_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/frankl_1984_exact_result_graphs/theorem_3 https://erdosproblems.ai/wiki/library/extremal_graph_theory/furedi_1983_graphs_without_quadrilaterals https://erdosproblems.ai/wiki/library/extremal_graph_theory/furedi_1983_graphs_without_quadrilaterals/lemma_p188 https://erdosproblems.ai/wiki/library/extremal_graph_theory/furedi_1983_graphs_without_quadrilaterals/proposition_p190 https://erdosproblems.ai/wiki/library/extremal_graph_theory/furedi_1983_graphs_without_quadrilaterals/theorem https://erdosproblems.ai/wiki/library/extremal_graph_theory/furedi_1991_turan_type_problem_erdos https://erdosproblems.ai/wiki/library/extremal_graph_theory/furedi_1991_turan_type_problem_erdos/conjecture_1_3 https://erdosproblems.ai/wiki/library/extremal_graph_theory/furedi_1991_turan_type_problem_erdos/inequality_2_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/furedi_1991_turan_type_problem_erdos/lemma_1_5 https://erdosproblems.ai/wiki/library/extremal_graph_theory/furedi_1991_turan_type_problem_erdos/theorem_1_4 https://erdosproblems.ai/wiki/library/extremal_graph_theory/furedi_1992_maximum_number_edges_minimal_graph_diameter https://erdosproblems.ai/wiki/library/extremal_graph_theory/furedi_1992_maximum_number_edges_minimal_graph_diameter/corollary_3_6 https://erdosproblems.ai/wiki/library/extremal_graph_theory/furedi_1992_maximum_number_edges_minimal_graph_diameter/lemma_2_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/furedi_1992_maximum_number_edges_minimal_graph_diameter/theorem_1_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/furedi_1992_maximum_number_edges_minimal_graph_diameter/theorem_5_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/furedi_1994_maximal_triangle_free_graphs_restrictions_degrees https://erdosproblems.ai/wiki/library/extremal_graph_theory/furedi_1994_maximal_triangle_free_graphs_restrictions_degrees/example_2_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/furedi_1994_maximal_triangle_free_graphs_restrictions_degrees/theorem_1_3 https://erdosproblems.ai/wiki/library/extremal_graph_theory/furedi_1994_maximal_triangle_free_graphs_restrictions_degrees/theorem_2_10 https://erdosproblems.ai/wiki/library/extremal_graph_theory/furedi_1994_maximal_triangle_free_graphs_restrictions_degrees/theorem_2_5 https://erdosproblems.ai/wiki/library/extremal_graph_theory/furedi_1994_maximal_triangle_free_graphs_restrictions_degrees/theorem_2_8 https://erdosproblems.ai/wiki/library/extremal_graph_theory/furedi_1994_maximal_triangle_free_graphs_restrictions_degrees/theorem_6_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/furedi_2006_turan_number_hexagon https://erdosproblems.ai/wiki/library/extremal_graph_theory/furedi_2006_turan_number_hexagon/theorem_1_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/furedi_2006_turan_number_hexagon/theorem_1_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/furedi_2006_turan_number_hexagon/theorem_1_3 https://erdosproblems.ai/wiki/library/extremal_graph_theory/furedi_2015_proof_stability_extremal_graphs_simonovits_stability_from_szemeredis_regularity https://erdosproblems.ai/wiki/library/extremal_graph_theory/furedi_2015_proof_stability_extremal_graphs_simonovits_stability_from_szemeredis_regularity/corollary_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/furedi_2015_proof_stability_extremal_graphs_simonovits_stability_from_szemeredis_regularity/theorem_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/furedi_2015_proof_stability_extremal_graphs_simonovits_stability_from_szemeredis_regularity/theorem_p2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/furedi_2021_hypergraphs_without_exponents https://erdosproblems.ai/wiki/library/extremal_graph_theory/furedi_2021_hypergraphs_without_exponents/conjecture_p2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/furedi_2021_hypergraphs_without_exponents/problem_p3 https://erdosproblems.ai/wiki/library/extremal_graph_theory/furedi_2021_hypergraphs_without_exponents/theorem_3_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/furedi_2021_hypergraphs_without_exponents/theorem_3_3 https://erdosproblems.ai/wiki/library/extremal_graph_theory/furedi_ramamurthi_2002_splittable_colorings_graphs_hypergraphs https://erdosproblems.ai/wiki/library/extremal_graph_theory/furedi_ramamurthi_2002_splittable_colorings_graphs_hypergraphs/corollary_12 https://erdosproblems.ai/wiki/library/extremal_graph_theory/furedi_ramamurthi_2002_splittable_colorings_graphs_hypergraphs/theorem_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/furedi_ramamurthi_2002_splittable_colorings_graphs_hypergraphs/theorem_10 https://erdosproblems.ai/wiki/library/extremal_graph_theory/furedi_ramamurthi_2002_splittable_colorings_graphs_hypergraphs/theorem_11 https://erdosproblems.ai/wiki/library/extremal_graph_theory/furedi_ramamurthi_2002_splittable_colorings_graphs_hypergraphs/theorem_4 https://erdosproblems.ai/wiki/library/extremal_graph_theory/furedi_ramamurthi_2002_splittable_colorings_graphs_hypergraphs/theorem_5 https://erdosproblems.ai/wiki/library/extremal_graph_theory/furedi_ramamurthi_2002_splittable_colorings_graphs_hypergraphs/theorem_6 https://erdosproblems.ai/wiki/library/extremal_graph_theory/furedi_ramamurthi_2002_splittable_colorings_graphs_hypergraphs/theorem_7 https://erdosproblems.ai/wiki/library/extremal_graph_theory/furedi_ramamurthi_2002_splittable_colorings_graphs_hypergraphs/theorem_8 https://erdosproblems.ai/wiki/library/extremal_graph_theory/furedi_ramamurthi_2002_splittable_colorings_graphs_hypergraphs/theorem_9 https://erdosproblems.ai/wiki/library/extremal_graph_theory/galvin_2025_trees_non_log_concave_independent_set_sequences https://erdosproblems.ai/wiki/library/extremal_graph_theory/gaspers_2018_number_minimal_separators_graphs https://erdosproblems.ai/wiki/library/extremal_graph_theory/gaspers_2018_number_minimal_separators_graphs/corollary_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/gaspers_2018_number_minimal_separators_graphs/theorem_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/gaspers_2018_number_minimal_separators_graphs/theorem_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/george_khodkar_wallis_2016_minimal_pancyclicity https://erdosproblems.ai/wiki/library/extremal_graph_theory/george_khodkar_wallis_2016_minimal_pancyclicity/small_orders https://erdosproblems.ai/wiki/library/extremal_graph_theory/george_khodkar_wallis_2016_minimal_pancyclicity/theorem_17 https://erdosproblems.ai/wiki/library/extremal_graph_theory/george_khodkar_wallis_2016_minimal_pancyclicity/theorem_19 https://erdosproblems.ai/wiki/library/extremal_graph_theory/gishboliner_2025_induced_subgraphs_k_r_free_graphs_erdos_rogers https://erdosproblems.ai/wiki/library/extremal_graph_theory/goedgebeur_2025_improved_lower_bounds_maximum_size_graphs https://erdosproblems.ai/wiki/library/extremal_graph_theory/goedgebeur_2025_improved_lower_bounds_maximum_size_graphs/table_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/goedgebeur_2025_improved_lower_bounds_maximum_size_graphs/table_3 https://erdosproblems.ai/wiki/library/extremal_graph_theory/gordeev_2023_combinatorial_nullstellensatz_turan_numbers_complete_r https://erdosproblems.ai/wiki/library/extremal_graph_theory/gordeev_2023_combinatorial_nullstellensatz_turan_numbers_complete_r/theorem_3_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/graham_1971_constructive_solution_tournament_problem https://erdosproblems.ai/wiki/library/extremal_graph_theory/graham_1971_constructive_solution_tournament_problem/theorem_p45 https://erdosproblems.ai/wiki/library/extremal_graph_theory/griffin_2013_minimal_pancyclicity https://erdosproblems.ai/wiki/library/extremal_graph_theory/griffin_2013_minimal_pancyclicity/claim_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/griffin_2013_minimal_pancyclicity/conjecture_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/griffin_2013_minimal_pancyclicity/corollary_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/griffin_2013_minimal_pancyclicity/corollary_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/griffin_2013_minimal_pancyclicity/proposition_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/griffin_2013_minimal_pancyclicity/table_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/griffin_2013_minimal_pancyclicity/theorem_3 https://erdosproblems.ai/wiki/library/extremal_graph_theory/griffin_2013_minimal_pancyclicity/theorem_4 https://erdosproblems.ai/wiki/library/extremal_graph_theory/grigorescu_2003_decreasing_diameter_cycles https://erdosproblems.ai/wiki/library/extremal_graph_theory/grigorescu_2003_decreasing_diameter_cycles/theorem_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/grigorescu_2003_decreasing_diameter_cycles/theorem_5 https://erdosproblems.ai/wiki/library/extremal_graph_theory/grzesik_2012_maximum_number_five_cycles_triangle_free https://erdosproblems.ai/wiki/library/extremal_graph_theory/grzesik_2012_maximum_number_five_cycles_triangle_free/theorem_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/grzesik_2012_maximum_number_five_cycles_triangle_free/theorem_3 https://erdosproblems.ai/wiki/library/extremal_graph_theory/grzesik_2019_minimum_number_edges_that_occur_odd https://erdosproblems.ai/wiki/library/extremal_graph_theory/grzesik_2019_minimum_number_edges_that_occur_odd/conjecture_1_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/grzesik_2019_minimum_number_edges_that_occur_odd/construction_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/grzesik_2019_minimum_number_edges_that_occur_odd/theorem_1_3 https://erdosproblems.ai/wiki/library/extremal_graph_theory/grzesik_2019_minimum_number_edges_that_occur_odd/theorem_1_4 https://erdosproblems.ai/wiki/library/extremal_graph_theory/grzesik_2019_minimum_number_edges_that_occur_odd/theorem_1_5 https://erdosproblems.ai/wiki/library/extremal_graph_theory/grzesik_2019_minimum_number_edges_that_occur_odd/theorem_1_6 https://erdosproblems.ai/wiki/library/extremal_graph_theory/grzesik_2019_minimum_number_edges_that_occur_odd/theorem_1_7 https://erdosproblems.ai/wiki/library/extremal_graph_theory/grzesik_2019_minimum_number_edges_that_occur_odd/theorem_6_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/grzesik_2019_minimum_number_edges_that_occur_odd/theorem_7_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/guichard_1990_note_packing_complete_graphs_trees https://erdosproblems.ai/wiki/library/extremal_graph_theory/guichard_1990_note_packing_complete_graphs_trees/verification_p124 https://erdosproblems.ai/wiki/library/extremal_graph_theory/gyarfas_1998_generalized_split_graphs_ramsey_numbers https://erdosproblems.ai/wiki/library/extremal_graph_theory/gyarfas_1998_generalized_split_graphs_ramsey_numbers/corollary_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/gyarfas_1998_generalized_split_graphs_ramsey_numbers/corollary_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/gyarfas_1998_generalized_split_graphs_ramsey_numbers/proposition_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/gyarfas_1998_generalized_split_graphs_ramsey_numbers/proposition_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/gyarfas_1998_generalized_split_graphs_ramsey_numbers/proposition_3 https://erdosproblems.ai/wiki/library/extremal_graph_theory/gyarfas_1998_generalized_split_graphs_ramsey_numbers/theorem_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/gyarfas_2023_problems_close_my_heart https://erdosproblems.ai/wiki/library/extremal_graph_theory/gyarfas_2023_problems_close_my_heart/conjecture_2_4 https://erdosproblems.ai/wiki/library/extremal_graph_theory/gyarfas_2023_problems_close_my_heart/conjecture_3_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/gyarfas_2023_problems_close_my_heart/problem_2_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/gyarfas_2023_problems_close_my_heart/proposition_1_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/gyarfas_2023_problems_close_my_heart/theorem_1_3 https://erdosproblems.ai/wiki/library/extremal_graph_theory/gyarfas_et_al_2002_finite_basis_characterization_split_colorings https://erdosproblems.ai/wiki/library/extremal_graph_theory/gyarfas_et_al_2002_finite_basis_characterization_split_colorings/construction_p421 https://erdosproblems.ai/wiki/library/extremal_graph_theory/gyarfas_et_al_2002_finite_basis_characterization_split_colorings/proposition_3 https://erdosproblems.ai/wiki/library/extremal_graph_theory/gyarfas_et_al_2002_finite_basis_characterization_split_colorings/proposition_4 https://erdosproblems.ai/wiki/library/extremal_graph_theory/gyarfas_et_al_2002_finite_basis_characterization_split_colorings/theorem_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/gyori_2017_number_edge_disjoint_triangles_k_4_free_graphs https://erdosproblems.ai/wiki/library/extremal_graph_theory/gyori_2017_number_edge_disjoint_triangles_k_4_free_graphs/theorem_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/hao_2026_strong_chromatic_index_bipartite_graphs https://erdosproblems.ai/wiki/library/extremal_graph_theory/hao_2026_strong_chromatic_index_bipartite_graphs/theorem_1_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/hatami_2013_number_pentagons_triangle_free_graphs https://erdosproblems.ai/wiki/library/extremal_graph_theory/hatami_2013_number_pentagons_triangle_free_graphs/corollary_3_3 https://erdosproblems.ai/wiki/library/extremal_graph_theory/hatami_2013_number_pentagons_triangle_free_graphs/theorem_3_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/hatami_2013_number_pentagons_triangle_free_graphs/theorem_3_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/hatami_2013_number_pentagons_triangle_free_graphs/theorem_4_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/haviv_2018_symmetric_complete_sum_free_sets_cyclic https://erdosproblems.ai/wiki/library/extremal_graph_theory/haviv_2018_symmetric_complete_sum_free_sets_cyclic/theorem_1_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/haviv_2018_symmetric_complete_sum_free_sets_cyclic/theorem_1_3 https://erdosproblems.ai/wiki/library/extremal_graph_theory/haviv_2018_symmetric_complete_sum_free_sets_cyclic/theorem_1_4 https://erdosproblems.ai/wiki/library/extremal_graph_theory/haviv_2018_symmetric_complete_sum_free_sets_cyclic/theorem_1_5 https://erdosproblems.ai/wiki/library/extremal_graph_theory/haviv_2018_symmetric_complete_sum_free_sets_cyclic/theorem_3_7 https://erdosproblems.ai/wiki/library/extremal_graph_theory/haviv_2018_symmetric_complete_sum_free_sets_cyclic/theorem_3_8 https://erdosproblems.ai/wiki/library/extremal_graph_theory/haviv_2018_symmetric_complete_sum_free_sets_cyclic/theorem_4_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/haviv_2018_symmetric_complete_sum_free_sets_cyclic/theorem_4_6 https://erdosproblems.ai/wiki/library/extremal_graph_theory/haxell_1999_packing_covering_triangles_graphs https://erdosproblems.ai/wiki/library/extremal_graph_theory/haxell_1999_packing_covering_triangles_graphs/lemma_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/haxell_1999_packing_covering_triangles_graphs/lemma_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/haxell_1999_packing_covering_triangles_graphs/lemma_3 https://erdosproblems.ai/wiki/library/extremal_graph_theory/haxell_1999_packing_covering_triangles_graphs/lemma_4 https://erdosproblems.ai/wiki/library/extremal_graph_theory/haxell_1999_packing_covering_triangles_graphs/theorem_5 https://erdosproblems.ai/wiki/library/extremal_graph_theory/haxell_2006_odd_independent_transversals_are_odd https://erdosproblems.ai/wiki/library/extremal_graph_theory/haxell_2006_odd_independent_transversals_are_odd/theorem_1_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/haxell_2006_odd_independent_transversals_are_odd/theorem_3_7 https://erdosproblems.ai/wiki/library/extremal_graph_theory/haxell_2006_odd_independent_transversals_are_odd/theorem_4_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/heilman_2020_independent_sets_random_trees_sparse_random_graphs https://erdosproblems.ai/wiki/library/extremal_graph_theory/heilman_2020_independent_sets_random_trees_sparse_random_graphs/lemma_5_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/heilman_2020_independent_sets_random_trees_sparse_random_graphs/theorem_1_17 https://erdosproblems.ai/wiki/library/extremal_graph_theory/heilman_2020_independent_sets_random_trees_sparse_random_graphs/theorem_1_18 https://erdosproblems.ai/wiki/library/extremal_graph_theory/heilman_2020_independent_sets_random_trees_sparse_random_graphs/theorem_1_19 https://erdosproblems.ai/wiki/library/extremal_graph_theory/heilman_2020_independent_sets_random_trees_sparse_random_graphs/theorem_1_20 https://erdosproblems.ai/wiki/library/extremal_graph_theory/hofmeister_1998_k_partite_subgraphs https://erdosproblems.ai/wiki/library/extremal_graph_theory/hofmeister_1998_k_partite_subgraphs/corollary_2_4 https://erdosproblems.ai/wiki/library/extremal_graph_theory/horak_1993_induced_matchings_cubic_graphs https://erdosproblems.ai/wiki/library/extremal_graph_theory/horak_1993_induced_matchings_cubic_graphs/theorem_p152 https://erdosproblems.ai/wiki/library/extremal_graph_theory/house_2013_4_dimensional_graph_has_at_least_9_edges https://erdosproblems.ai/wiki/library/extremal_graph_theory/house_2013_4_dimensional_graph_has_at_least_9_edges/main_theorem https://erdosproblems.ai/wiki/library/extremal_graph_theory/huang_2018_strong_chromatic_index_graphs_maximum_degree_four https://erdosproblems.ai/wiki/library/extremal_graph_theory/huang_2018_strong_chromatic_index_graphs_maximum_degree_four/conjecture_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/huang_2018_strong_chromatic_index_graphs_maximum_degree_four/theorem_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/hurley_2022_improved_procedure_colouring_graphs_bounded_local_density https://erdosproblems.ai/wiki/library/extremal_graph_theory/hurley_2022_improved_procedure_colouring_graphs_bounded_local_density/conjecture_1_4 https://erdosproblems.ai/wiki/library/extremal_graph_theory/hurley_2022_improved_procedure_colouring_graphs_bounded_local_density/theorem_1_6 https://erdosproblems.ai/wiki/library/extremal_graph_theory/janzer_2019_improved_bounds_extremal_number_subdivisions https://erdosproblems.ai/wiki/library/extremal_graph_theory/janzer_2019_improved_bounds_extremal_number_subdivisions/corollary_5 https://erdosproblems.ai/wiki/library/extremal_graph_theory/janzer_2019_improved_bounds_extremal_number_subdivisions/theorem_3 https://erdosproblems.ai/wiki/library/extremal_graph_theory/janzer_2019_improved_bounds_extremal_number_subdivisions/theorem_4 https://erdosproblems.ai/wiki/library/extremal_graph_theory/janzer_2021_extremal_number_longer_subdivisions https://erdosproblems.ai/wiki/library/extremal_graph_theory/janzer_2021_extremal_number_longer_subdivisions/theorem_1_6 https://erdosproblems.ai/wiki/library/extremal_graph_theory/janzer_2021_extremal_number_longer_subdivisions/theorem_1_7 https://erdosproblems.ai/wiki/library/extremal_graph_theory/janzer_2022_turan_number_hypercube https://erdosproblems.ai/wiki/library/extremal_graph_theory/janzer_2022_turan_number_hypercube/theorem_1_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/janzer_2022_turan_number_hypercube/theorem_1_4 https://erdosproblems.ai/wiki/library/extremal_graph_theory/janzer_2022_turan_number_hypercube/theorem_1_5 https://erdosproblems.ai/wiki/library/extremal_graph_theory/janzer_2022_turan_number_hypercube/theorem_1_7 https://erdosproblems.ai/wiki/library/extremal_graph_theory/janzer_2022_turan_number_hypercube/theorem_1_8 https://erdosproblems.ai/wiki/library/extremal_graph_theory/janzer_2022_turan_number_hypercube/theorem_1_9 https://erdosproblems.ai/wiki/library/extremal_graph_theory/janzer_2022_turan_number_hypercube/theorem_2_16 https://erdosproblems.ai/wiki/library/extremal_graph_theory/janzer_2023_disproof_conjecture_erdos_simonovits_turan_number https://erdosproblems.ai/wiki/library/extremal_graph_theory/janzer_2023_disproof_conjecture_erdos_simonovits_turan_number/construction_h_k_l https://erdosproblems.ai/wiki/library/extremal_graph_theory/janzer_2023_disproof_conjecture_erdos_simonovits_turan_number/evidence https://erdosproblems.ai/wiki/library/extremal_graph_theory/janzer_2023_disproof_conjecture_erdos_simonovits_turan_number/evidence/verify https://erdosproblems.ai/wiki/library/extremal_graph_theory/janzer_2023_disproof_conjecture_erdos_simonovits_turan_number/evidence/verify/lemma_2_19_review https://erdosproblems.ai/wiki/library/extremal_graph_theory/janzer_2023_disproof_conjecture_erdos_simonovits_turan_number/evidence/verify/lemma_2_5_review https://erdosproblems.ai/wiki/library/extremal_graph_theory/janzer_2023_disproof_conjecture_erdos_simonovits_turan_number/good_nice_cycle_families https://erdosproblems.ai/wiki/library/extremal_graph_theory/janzer_2023_disproof_conjecture_erdos_simonovits_turan_number/imported_cycle_estimates https://erdosproblems.ai/wiki/library/extremal_graph_theory/janzer_2023_disproof_conjecture_erdos_simonovits_turan_number/lemma_2_16_auxiliary_embedding https://erdosproblems.ai/wiki/library/extremal_graph_theory/janzer_2023_disproof_conjecture_erdos_simonovits_turan_number/lemma_2_5_conflict_free_cycle https://erdosproblems.ai/wiki/library/extremal_graph_theory/janzer_2023_disproof_conjecture_erdos_simonovits_turan_number/lemmas_2_13_2_17_few_four_cycles https://erdosproblems.ai/wiki/library/extremal_graph_theory/janzer_2023_disproof_conjecture_erdos_simonovits_turan_number/lemmas_2_14_2_18_2_19_many_four_cycles https://erdosproblems.ai/wiki/library/extremal_graph_theory/janzer_2023_disproof_conjecture_erdos_simonovits_turan_number/lemmas_2_9_2_10_regularization https://erdosproblems.ai/wiki/library/extremal_graph_theory/janzer_2023_disproof_conjecture_erdos_simonovits_turan_number/theorem_1_4_e147 https://erdosproblems.ai/wiki/library/extremal_graph_theory/janzer_2023_disproof_conjecture_erdos_simonovits_turan_number/theorem_1_6 https://erdosproblems.ai/wiki/library/extremal_graph_theory/janzer_2023_rainbow_turan_number_even_cycles_repeated https://erdosproblems.ai/wiki/library/extremal_graph_theory/janzer_2023_rainbow_turan_number_even_cycles_repeated/theorem_1_11 https://erdosproblems.ai/wiki/library/extremal_graph_theory/janzer_2023_rainbow_turan_number_even_cycles_repeated/theorem_1_14 https://erdosproblems.ai/wiki/library/extremal_graph_theory/janzer_2023_rainbow_turan_number_even_cycles_repeated/theorem_1_15 https://erdosproblems.ai/wiki/library/extremal_graph_theory/janzer_2023_rainbow_turan_number_even_cycles_repeated/theorem_1_4 https://erdosproblems.ai/wiki/library/extremal_graph_theory/janzer_2023_rainbow_turan_number_even_cycles_repeated/theorem_1_6 https://erdosproblems.ai/wiki/library/extremal_graph_theory/janzer_2023_resolution_erdos_sauer_problem_regular_subgraphs https://erdosproblems.ai/wiki/library/extremal_graph_theory/janzer_2023_resolution_erdos_sauer_problem_regular_subgraphs/theorem_1_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/janzer_2023_resolution_erdos_sauer_problem_regular_subgraphs/theorem_6_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/janzer_2023_resolution_erdos_sauer_problem_regular_subgraphs/theorem_6_3 https://erdosproblems.ai/wiki/library/extremal_graph_theory/janzer_2024_packing_largest_trees_tree_packing_conjecture https://erdosproblems.ai/wiki/library/extremal_graph_theory/janzer_2024_packing_largest_trees_tree_packing_conjecture/theorem_1_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/janzer_2025_power_saving_brown_erdos_sos_problem https://erdosproblems.ai/wiki/library/extremal_graph_theory/janzer_2025_power_saving_brown_erdos_sos_problem/theorem_1_3 https://erdosproblems.ai/wiki/library/extremal_graph_theory/jeffries_2026_schutte_s_property_sets_tournaments_application https://erdosproblems.ai/wiki/library/extremal_graph_theory/jeffries_2026_schutte_s_property_sets_tournaments_application/proposition_2_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/jeffries_2026_schutte_s_property_sets_tournaments_application/proposition_2_3 https://erdosproblems.ai/wiki/library/extremal_graph_theory/jeffries_2026_schutte_s_property_sets_tournaments_application/theorem_1_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/jeffries_2026_schutte_s_property_sets_tournaments_application/theorem_2_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/jeffries_2026_schutte_s_property_sets_tournaments_application/theorem_2_3 https://erdosproblems.ai/wiki/library/extremal_graph_theory/jiang_2020_negligible_obstructions_turan_exponents https://erdosproblems.ai/wiki/library/extremal_graph_theory/jiang_2020_negligible_obstructions_turan_exponents/corollary_10 https://erdosproblems.ai/wiki/library/extremal_graph_theory/jiang_2020_negligible_obstructions_turan_exponents/lemma_17 https://erdosproblems.ai/wiki/library/extremal_graph_theory/jiang_2020_negligible_obstructions_turan_exponents/proposition_9 https://erdosproblems.ai/wiki/library/extremal_graph_theory/jiang_2020_negligible_obstructions_turan_exponents/theorem_8 https://erdosproblems.ai/wiki/library/extremal_graph_theory/jiang_2020_turan_numbers_bipartite_subdivisions https://erdosproblems.ai/wiki/library/extremal_graph_theory/jiang_2020_turan_numbers_bipartite_subdivisions/proposition_4_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/jiang_2020_turan_numbers_bipartite_subdivisions/theorem_1_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/jiang_2022_turan_exponents_bipartite_graphs https://erdosproblems.ai/wiki/library/extremal_graph_theory/jiang_2022_turan_exponents_bipartite_graphs/theorem_1_11 https://erdosproblems.ai/wiki/library/extremal_graph_theory/jiang_2022_turan_exponents_bipartite_graphs/theorem_1_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/jiang_2022_turan_exponents_bipartite_graphs/theorem_1_6 https://erdosproblems.ai/wiki/library/extremal_graph_theory/jiang_2022_turan_exponents_bipartite_graphs/theorem_1_9 https://erdosproblems.ai/wiki/library/extremal_graph_theory/jiang_2023_many_turan_exponents_via_subdivisions https://erdosproblems.ai/wiki/library/extremal_graph_theory/jiang_2025_regularization_asymmetric_extremal_numbers_subdivisions https://erdosproblems.ai/wiki/library/extremal_graph_theory/jiang_2025_regularization_asymmetric_extremal_numbers_subdivisions/theorem_1_3 https://erdosproblems.ai/wiki/library/extremal_graph_theory/jiang_2025_regularization_asymmetric_extremal_numbers_subdivisions/theorem_1_5 https://erdosproblems.ai/wiki/library/extremal_graph_theory/jiang_2025_regularization_asymmetric_extremal_numbers_subdivisions/theorem_1_6 https://erdosproblems.ai/wiki/library/extremal_graph_theory/jiang_2025_regularization_asymmetric_extremal_numbers_subdivisions/theorem_1_7 https://erdosproblems.ai/wiki/library/extremal_graph_theory/jiang_2025_regularization_asymmetric_extremal_numbers_subdivisions/theorem_5_10 https://erdosproblems.ai/wiki/library/extremal_graph_theory/jiang_2025_regularization_asymmetric_extremal_numbers_subdivisions/theorem_5_7 https://erdosproblems.ai/wiki/library/extremal_graph_theory/jiang_2026_rational_exponents_near_3_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/jiang_2026_rational_exponents_near_3_2/theorem_1_7 https://erdosproblems.ai/wiki/library/extremal_graph_theory/joos_2019_optimal_packings_bounded_degree_trees https://erdosproblems.ai/wiki/library/extremal_graph_theory/joos_2019_optimal_packings_bounded_degree_trees/corollary_1_6 https://erdosproblems.ai/wiki/library/extremal_graph_theory/joos_2019_optimal_packings_bounded_degree_trees/corollary_1_8 https://erdosproblems.ai/wiki/library/extremal_graph_theory/joos_2019_optimal_packings_bounded_degree_trees/theorem_1_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/joos_2019_optimal_packings_bounded_degree_trees/theorem_1_3 https://erdosproblems.ai/wiki/library/extremal_graph_theory/joos_2019_optimal_packings_bounded_degree_trees/theorem_1_7 https://erdosproblems.ai/wiki/library/extremal_graph_theory/joos_2022_ramsey_theory_constructions_hypergraph_matchings https://erdosproblems.ai/wiki/library/extremal_graph_theory/joret_2021_tight_bounds_clique_chromatic_number https://erdosproblems.ai/wiki/library/extremal_graph_theory/joret_2021_tight_bounds_clique_chromatic_number/corollary_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/joret_2021_tight_bounds_clique_chromatic_number/theorem_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/kadrawi_levit_2023_independence_polynomial_trees_is_not_always_log_concave_starting_from_order_26 https://erdosproblems.ai/wiki/library/extremal_graph_theory/kadrawi_levit_2023_independence_polynomial_trees_is_not_always_log_concave_starting_from_order_26/examples_p4 https://erdosproblems.ai/wiki/library/extremal_graph_theory/kadrawi_levit_2023_independence_polynomial_trees_is_not_always_log_concave_starting_from_order_26/lemma_4_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/kadrawi_levit_2023_independence_polynomial_trees_is_not_always_log_concave_starting_from_order_26/lemma_4_3 https://erdosproblems.ai/wiki/library/extremal_graph_theory/kadrawi_levit_2023_independence_polynomial_trees_is_not_always_log_concave_starting_from_order_26/lemma_4_4 https://erdosproblems.ai/wiki/library/extremal_graph_theory/kadrawi_levit_2023_independence_polynomial_trees_is_not_always_log_concave_starting_from_order_26/theorem_3_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/kadrawi_levit_2023_independence_polynomial_trees_is_not_always_log_concave_starting_from_order_26/theorem_3_3 https://erdosproblems.ai/wiki/library/extremal_graph_theory/kahn_2022_tuza_s_conjecture_random_graphs https://erdosproblems.ai/wiki/library/extremal_graph_theory/kahn_2022_tuza_s_conjecture_random_graphs/lemma_1_6 https://erdosproblems.ai/wiki/library/extremal_graph_theory/kahn_2022_tuza_s_conjecture_random_graphs/theorem_1_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/kahn_2022_tuza_s_conjecture_random_graphs/theorem_1_3 https://erdosproblems.ai/wiki/library/extremal_graph_theory/kahn_2022_tuza_s_conjecture_random_graphs/theorem_1_4 https://erdosproblems.ai/wiki/library/extremal_graph_theory/kahn_2022_tuza_s_conjecture_random_graphs/theorem_1_5 https://erdosproblems.ai/wiki/library/extremal_graph_theory/kahn_2022_tuza_s_conjecture_random_graphs/theorem_1_7 https://erdosproblems.ai/wiki/library/extremal_graph_theory/kang_2021_rational_turan_exponents_conjecture https://erdosproblems.ai/wiki/library/extremal_graph_theory/kang_pikhurko_2005_maximum_k_r_1_free_graphs_which_are_not_r_partite https://erdosproblems.ai/wiki/library/extremal_graph_theory/kang_pikhurko_2005_maximum_k_r_1_free_graphs_which_are_not_r_partite/lemma_5 https://erdosproblems.ai/wiki/library/extremal_graph_theory/kang_pikhurko_2005_maximum_k_r_1_free_graphs_which_are_not_r_partite/theorem_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/kang_pikhurko_2005_maximum_k_r_1_free_graphs_which_are_not_r_partite/theorem_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/kang_pikhurko_2005_maximum_k_r_1_free_graphs_which_are_not_r_partite/theorem_4 https://erdosproblems.ai/wiki/library/extremal_graph_theory/kara_2026_machine_verified_fixed_r5_erdos_617 https://erdosproblems.ai/wiki/library/extremal_graph_theory/kara_2026_machine_verified_fixed_r5_erdos_617/construction_p2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/kara_2026_machine_verified_fixed_r5_erdos_617/theorem_1_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/keevash_2006_sparse_halves_triangle_free_graphs https://erdosproblems.ai/wiki/library/extremal_graph_theory/keevash_2006_sparse_halves_triangle_free_graphs/proposition_1_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/keevash_2006_sparse_halves_triangle_free_graphs/theorem_1_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/keevash_2020_brown_erdos_sos_conjecture_hypergraphs_large https://erdosproblems.ai/wiki/library/extremal_graph_theory/keevash_2020_brown_erdos_sos_conjecture_hypergraphs_large/theorem_12 https://erdosproblems.ai/wiki/library/extremal_graph_theory/keevash_2020_brown_erdos_sos_conjecture_hypergraphs_large/theorem_3 https://erdosproblems.ai/wiki/library/extremal_graph_theory/khadzhiivanov_1988_maximal_number_triangles_common_edge https://erdosproblems.ai/wiki/library/extremal_graph_theory/khadzhiivanov_1988_maximal_number_triangles_common_edge/corollary_3 https://erdosproblems.ai/wiki/library/extremal_graph_theory/khadzhiivanov_1988_maximal_number_triangles_common_edge/problem_p44 https://erdosproblems.ai/wiki/library/extremal_graph_theory/kierstead_2010_fast_algorithm_equitable_coloring https://erdosproblems.ai/wiki/library/extremal_graph_theory/kierstead_2010_fast_algorithm_equitable_coloring/theorem_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/kierstead_2010_fast_algorithm_equitable_coloring/theorem_4 https://erdosproblems.ai/wiki/library/extremal_graph_theory/komlos_szemeredi_1983_limit_distribution_hamiltonian_cycles_random_graph https://erdosproblems.ai/wiki/library/extremal_graph_theory/komlos_szemeredi_1983_limit_distribution_hamiltonian_cycles_random_graph/reformulation_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/komlos_szemeredi_1983_limit_distribution_hamiltonian_cycles_random_graph/reformulation_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/komlos_szemeredi_1983_limit_distribution_hamiltonian_cycles_random_graph/theorem_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/komlos_szemeredi_1983_limit_distribution_hamiltonian_cycles_random_graph/theorem_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/korshunov_1976_solution_problem_erdos_renyi_hamiltonian_cycles https://erdosproblems.ai/wiki/library/extremal_graph_theory/korshunov_1976_solution_problem_erdos_renyi_hamiltonian_cycles/theorem_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/korshunov_1976_solution_problem_erdos_renyi_hamiltonian_cycles/theorem_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/korshunov_1985_new_version_solution_problem_erdos_renyi_hamiltonian_cycles https://erdosproblems.ai/wiki/library/extremal_graph_theory/korshunov_1985_new_version_solution_problem_erdos_renyi_hamiltonian_cycles/theorem_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/korshunov_1985_new_version_solution_problem_erdos_renyi_hamiltonian_cycles/theorem_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/kostochka_pyber_1988_small_topological_complete_subgraphs_dense_graphs https://erdosproblems.ai/wiki/library/extremal_graph_theory/kostochka_pyber_1988_small_topological_complete_subgraphs_dense_graphs/theorem https://erdosproblems.ai/wiki/library/extremal_graph_theory/kostochka_yancey_2012_ores_conjecture_color_critical_graphs_is_almost_true https://erdosproblems.ai/wiki/library/extremal_graph_theory/kostochka_yancey_2012_ores_conjecture_color_critical_graphs_is_almost_true/corollary_6 https://erdosproblems.ai/wiki/library/extremal_graph_theory/kostochka_yancey_2012_ores_conjecture_color_critical_graphs_is_almost_true/corollary_7 https://erdosproblems.ai/wiki/library/extremal_graph_theory/kostochka_yancey_2012_ores_conjecture_color_critical_graphs_is_almost_true/theorem_3 https://erdosproblems.ai/wiki/library/extremal_graph_theory/kostochka_yancey_2012_ores_conjecture_color_critical_graphs_is_almost_true/theorem_37 https://erdosproblems.ai/wiki/library/extremal_graph_theory/kostochka_yancey_2012_ores_conjecture_color_critical_graphs_is_almost_true/theorem_5 https://erdosproblems.ai/wiki/library/extremal_graph_theory/kovari_1954_problem_k https://erdosproblems.ai/wiki/library/extremal_graph_theory/kovari_1954_problem_k/inequality_1_5 https://erdosproblems.ai/wiki/library/extremal_graph_theory/kovari_1954_problem_k/inequality_6_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/kratzke_1988_eigensharp_graphs_decomposition_complete_bipartite https://erdosproblems.ai/wiki/library/extremal_graph_theory/kratzke_1988_eigensharp_graphs_decomposition_complete_bipartite/conjecture_p638 https://erdosproblems.ai/wiki/library/extremal_graph_theory/kratzke_1988_eigensharp_graphs_decomposition_complete_bipartite/example_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/kratzke_1988_eigensharp_graphs_decomposition_complete_bipartite/remark_p638 https://erdosproblems.ai/wiki/library/extremal_graph_theory/kratzke_1988_eigensharp_graphs_decomposition_complete_bipartite/theorem_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/kratzke_1988_eigensharp_graphs_decomposition_complete_bipartite/theorem_10 https://erdosproblems.ai/wiki/library/extremal_graph_theory/kratzke_1988_eigensharp_graphs_decomposition_complete_bipartite/theorem_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/kratzke_1988_eigensharp_graphs_decomposition_complete_bipartite/theorem_3 https://erdosproblems.ai/wiki/library/extremal_graph_theory/kratzke_1988_eigensharp_graphs_decomposition_complete_bipartite/theorem_4 https://erdosproblems.ai/wiki/library/extremal_graph_theory/kratzke_1988_eigensharp_graphs_decomposition_complete_bipartite/theorem_5 https://erdosproblems.ai/wiki/library/extremal_graph_theory/kratzke_1988_eigensharp_graphs_decomposition_complete_bipartite/theorem_6 https://erdosproblems.ai/wiki/library/extremal_graph_theory/kratzke_1988_eigensharp_graphs_decomposition_complete_bipartite/theorem_7 https://erdosproblems.ai/wiki/library/extremal_graph_theory/kratzke_1988_eigensharp_graphs_decomposition_complete_bipartite/theorem_8 https://erdosproblems.ai/wiki/library/extremal_graph_theory/kratzke_1988_eigensharp_graphs_decomposition_complete_bipartite/theorem_9 https://erdosproblems.ai/wiki/library/extremal_graph_theory/krivelevich_1994_free_graphs_without_large_free_subgraphs https://erdosproblems.ai/wiki/library/extremal_graph_theory/krivelevich_1994_free_graphs_without_large_free_subgraphs/corollary_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/krivelevich_1994_free_graphs_without_large_free_subgraphs/section_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/krivelevich_1994_free_graphs_without_large_free_subgraphs/theorem_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/krivelevich_1994_free_graphs_without_large_free_subgraphs/theorem_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/krivelevich_1995_edge_distribution_triangle_free_graphs https://erdosproblems.ai/wiki/library/extremal_graph_theory/krivelevich_1995_edge_distribution_triangle_free_graphs/claim_p3 https://erdosproblems.ai/wiki/library/extremal_graph_theory/krivelevich_1995_edge_distribution_triangle_free_graphs/conjecture_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/krivelevich_1995_edge_distribution_triangle_free_graphs/theorem_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/krivelevich_1995_edge_distribution_triangle_free_graphs/theorem_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/krivelevich_1995_edge_distribution_triangle_free_graphs/theorem_3 https://erdosproblems.ai/wiki/library/extremal_graph_theory/krivelevich_1995_edge_distribution_triangle_free_graphs/theorem_4 https://erdosproblems.ai/wiki/library/extremal_graph_theory/krivelevich_1995_edge_distribution_triangle_free_graphs/theorem_5 https://erdosproblems.ai/wiki/library/extremal_graph_theory/krivelevich_1995_edge_distribution_triangle_free_graphs/theorem_6 https://erdosproblems.ai/wiki/library/extremal_graph_theory/kuhn_fable_2026_counterexample_erdos_problem_619 https://erdosproblems.ai/wiki/library/extremal_graph_theory/kuhn_fable_2026_counterexample_erdos_problem_619/kuhn_fable_2026_counterexample_erdos_problem_619 https://erdosproblems.ai/wiki/library/extremal_graph_theory/kuhn_fable_2026_counterexample_erdos_problem_619/lemma_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/kuhn_fable_2026_counterexample_erdos_problem_619/lemma_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/kuhn_fable_2026_counterexample_erdos_problem_619/lemma_3 https://erdosproblems.ai/wiki/library/extremal_graph_theory/kuhn_fable_2026_counterexample_erdos_problem_619/lemma_e https://erdosproblems.ai/wiki/library/extremal_graph_theory/kuhn_fable_2026_counterexample_erdos_problem_619/main_theorem https://erdosproblems.ai/wiki/library/extremal_graph_theory/kuhn_fable_2026_counterexample_erdos_problem_619/pendant_component_accounting https://erdosproblems.ai/wiki/library/extremal_graph_theory/kumar_2026_improved_bound_strong_clique_index_graphs https://erdosproblems.ai/wiki/library/extremal_graph_theory/kumar_2026_improved_bound_strong_clique_index_graphs/corollary_1_7 https://erdosproblems.ai/wiki/library/extremal_graph_theory/kumar_2026_improved_bound_strong_clique_index_graphs/lemma_3_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/kumar_2026_improved_bound_strong_clique_index_graphs/theorem_1_11 https://erdosproblems.ai/wiki/library/extremal_graph_theory/lazebnik_ustimenko_woldar_1994_properties_certain_families_2k_cycle_free_graphs https://erdosproblems.ai/wiki/library/extremal_graph_theory/lazebnik_ustimenko_woldar_1994_properties_certain_families_2k_cycle_free_graphs/corollary_p297 https://erdosproblems.ai/wiki/library/extremal_graph_theory/lazebnik_ustimenko_woldar_1994_properties_certain_families_2k_cycle_free_graphs/theorem_p295 https://erdosproblems.ai/wiki/library/extremal_graph_theory/leonard_1972_graphs_at_most_four_line_disjoint_paths_connecting_any_two_vertices https://erdosproblems.ai/wiki/library/extremal_graph_theory/leonard_1972_graphs_at_most_four_line_disjoint_paths_connecting_any_two_vertices/remark_p244 https://erdosproblems.ai/wiki/library/extremal_graph_theory/leonard_1972_graphs_at_most_four_line_disjoint_paths_connecting_any_two_vertices/theorem_p246 https://erdosproblems.ai/wiki/library/extremal_graph_theory/leonard_1973_conjecture_bollobas_erdos https://erdosproblems.ai/wiki/library/extremal_graph_theory/leonard_1973_conjecture_bollobas_erdos/bound_p282 https://erdosproblems.ai/wiki/library/extremal_graph_theory/leonard_1973_conjecture_bollobas_erdos/counterexample_p281 https://erdosproblems.ai/wiki/library/extremal_graph_theory/leonard_1973_graphs_ways https://erdosproblems.ai/wiki/library/extremal_graph_theory/leonard_1973_graphs_ways/construction_p687 https://erdosproblems.ai/wiki/library/extremal_graph_theory/leonard_1973_graphs_ways/theorem_p688 https://erdosproblems.ai/wiki/library/extremal_graph_theory/letzter_et_al_2026_nearly_hamilton_cycles_sublinear_expanders_applications https://erdosproblems.ai/wiki/library/extremal_graph_theory/levit_mandrescu_2002_unimodality_independence_polynomials_some_well_covered_trees https://erdosproblems.ai/wiki/library/extremal_graph_theory/levit_mandrescu_2002_unimodality_independence_polynomials_some_well_covered_trees/conjecture_1_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/levit_mandrescu_2002_unimodality_independence_polynomials_some_well_covered_trees/lemma_2_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/levit_mandrescu_2002_unimodality_independence_polynomials_some_well_covered_trees/lemma_2_5 https://erdosproblems.ai/wiki/library/extremal_graph_theory/levit_mandrescu_2002_unimodality_independence_polynomials_some_well_covered_trees/proposition_4_4 https://erdosproblems.ai/wiki/library/extremal_graph_theory/levit_mandrescu_2002_unimodality_independence_polynomials_some_well_covered_trees/theorem_3_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/levit_mandrescu_2002_unimodality_independence_polynomials_some_well_covered_trees/theorem_4_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/levit_mandrescu_2002_unimodality_independence_polynomials_some_well_covered_trees/theorem_4_5 https://erdosproblems.ai/wiki/library/extremal_graph_theory/levit_mandrescu_2004_very_well_covered_graphs_unimodality_conjecture https://erdosproblems.ai/wiki/library/extremal_graph_theory/levit_mandrescu_2004_very_well_covered_graphs_unimodality_conjecture/corollary_2_7 https://erdosproblems.ai/wiki/library/extremal_graph_theory/levit_mandrescu_2004_very_well_covered_graphs_unimodality_conjecture/corollary_2_8 https://erdosproblems.ai/wiki/library/extremal_graph_theory/levit_mandrescu_2004_very_well_covered_graphs_unimodality_conjecture/proposition_2_4 https://erdosproblems.ai/wiki/library/extremal_graph_theory/levit_mandrescu_2004_very_well_covered_graphs_unimodality_conjecture/proposition_2_6 https://erdosproblems.ai/wiki/library/extremal_graph_theory/levit_mandrescu_2004_very_well_covered_graphs_unimodality_conjecture/theorem_2_5 https://erdosproblems.ai/wiki/library/extremal_graph_theory/li_2023_stability_woodall_theorem_spectral_conditions_large_cycles https://erdosproblems.ai/wiki/library/extremal_graph_theory/li_2023_stability_woodall_theorem_spectral_conditions_large_cycles/theorem_10 https://erdosproblems.ai/wiki/library/extremal_graph_theory/li_2023_stability_woodall_theorem_spectral_conditions_large_cycles/theorem_11 https://erdosproblems.ai/wiki/library/extremal_graph_theory/li_2023_stability_woodall_theorem_spectral_conditions_large_cycles/theorem_13 https://erdosproblems.ai/wiki/library/extremal_graph_theory/li_2023_stability_woodall_theorem_spectral_conditions_large_cycles/theorem_7 https://erdosproblems.ai/wiki/library/extremal_graph_theory/li_2023_stability_woodall_theorem_spectral_conditions_large_cycles/theorem_8 https://erdosproblems.ai/wiki/library/extremal_graph_theory/li_2026_unimodality_independence_polynomials_two_family_trees https://erdosproblems.ai/wiki/library/extremal_graph_theory/li_2026_unimodality_independence_polynomials_two_family_trees/theorem_1_4 https://erdosproblems.ai/wiki/library/extremal_graph_theory/li_2026_unimodality_independence_polynomials_two_family_trees/theorem_1_5 https://erdosproblems.ai/wiki/library/extremal_graph_theory/liu_2021_geometric_constructions_ramsey_turan_theory https://erdosproblems.ai/wiki/library/extremal_graph_theory/liu_2021_geometric_constructions_ramsey_turan_theory/corollary_1_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/liu_2021_geometric_constructions_ramsey_turan_theory/problem_c https://erdosproblems.ai/wiki/library/extremal_graph_theory/liu_2021_geometric_constructions_ramsey_turan_theory/theorem_1_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/liu_2021_geometric_constructions_ramsey_turan_theory/theorem_1_4 https://erdosproblems.ai/wiki/library/extremal_graph_theory/liu_2025_complement_erdos_hajnal_problem_paths_equal_degree https://erdosproblems.ai/wiki/library/extremal_graph_theory/liu_2025_complement_erdos_hajnal_problem_paths_equal_degree/theorem_1_3 https://erdosproblems.ai/wiki/library/extremal_graph_theory/liu_2025_complement_erdos_hajnal_problem_paths_equal_degree/theorem_1_5 https://erdosproblems.ai/wiki/library/extremal_graph_theory/lovasz_1983_number_complete_subgraphs_graph_ii https://erdosproblems.ai/wiki/library/extremal_graph_theory/lovasz_1983_number_complete_subgraphs_graph_ii/theorem_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/lovasz_1983_number_complete_subgraphs_graph_ii/theorem_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/lovasz_1983_number_complete_subgraphs_graph_ii/theorem_3 https://erdosproblems.ai/wiki/library/extremal_graph_theory/lovasz_1983_number_complete_subgraphs_graph_ii/theorem_4 https://erdosproblems.ai/wiki/library/extremal_graph_theory/ma_2023_upper_bounds_extremal_number_4_cycle https://erdosproblems.ai/wiki/library/extremal_graph_theory/ma_2023_upper_bounds_extremal_number_4_cycle/corollary_1_4 https://erdosproblems.ai/wiki/library/extremal_graph_theory/ma_2023_upper_bounds_extremal_number_4_cycle/theorem_1_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/ma_2023_upper_bounds_extremal_number_4_cycle/theorem_1_3 https://erdosproblems.ai/wiki/library/extremal_graph_theory/ma_2023_upper_bounds_extremal_number_4_cycle/theorem_1_5 https://erdosproblems.ai/wiki/library/extremal_graph_theory/ma_2025_erdos_problem_1034 https://erdosproblems.ai/wiki/library/extremal_graph_theory/ma_2025_erdos_problem_1034/section_3 https://erdosproblems.ai/wiki/library/extremal_graph_theory/ma_2025_erdos_problem_1034/theorem_2_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/ma_2025_extremal_numbers_triangle_plus_four_cycle https://erdosproblems.ai/wiki/library/extremal_graph_theory/ma_2025_extremal_numbers_triangle_plus_four_cycle/corollary_1_4 https://erdosproblems.ai/wiki/library/extremal_graph_theory/ma_2025_extremal_numbers_triangle_plus_four_cycle/theorem_1_3 https://erdosproblems.ai/wiki/library/extremal_graph_theory/mader_1967_homomorphieeigenschaften_und_mittlere_kantendichte_von_graphen https://erdosproblems.ai/wiki/library/extremal_graph_theory/mader_1967_homomorphieeigenschaften_und_mittlere_kantendichte_von_graphen/satz_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/mader_1967_homomorphieeigenschaften_und_mittlere_kantendichte_von_graphen/satz_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/mader_1973_ein_extremalproblem_des_zusammenhangs_von_graphen https://erdosproblems.ai/wiki/library/extremal_graph_theory/mader_1973_ein_extremalproblem_des_zusammenhangs_von_graphen/examples_p228 https://erdosproblems.ai/wiki/library/extremal_graph_theory/mader_1973_ein_extremalproblem_des_zusammenhangs_von_graphen/korollar https://erdosproblems.ai/wiki/library/extremal_graph_theory/mader_1973_ein_extremalproblem_des_zusammenhangs_von_graphen/satz_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/mader_1973_ein_extremalproblem_des_zusammenhangs_von_graphen/satz_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/malekshahian_2026_clique_building_game_erdos https://erdosproblems.ai/wiki/library/extremal_graph_theory/milanic_2024_upper_clique_transversal_problem https://erdosproblems.ai/wiki/library/extremal_graph_theory/molloy_reed_1997_bound_strong_chromatic_index_graph https://erdosproblems.ai/wiki/library/extremal_graph_theory/molloy_reed_1997_bound_strong_chromatic_index_graph/lemma_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/molloy_reed_1997_bound_strong_chromatic_index_graph/lemma_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/molloy_reed_1997_bound_strong_chromatic_index_graph/theorem_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/moon_moser_1965_cliques_graphs https://erdosproblems.ai/wiki/library/extremal_graph_theory/moon_moser_1965_cliques_graphs/theorem_3 https://erdosproblems.ai/wiki/library/extremal_graph_theory/moon_moser_1965_cliques_graphs/theorem_4 https://erdosproblems.ai/wiki/library/extremal_graph_theory/morris_2016_number_free_graphs https://erdosproblems.ai/wiki/library/extremal_graph_theory/morris_2016_number_free_graphs/proposition_1_4 https://erdosproblems.ai/wiki/library/extremal_graph_theory/morris_2016_number_free_graphs/theorem_1_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/morris_2016_number_free_graphs/theorem_1_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/morris_2016_number_free_graphs/theorem_1_3 https://erdosproblems.ai/wiki/library/extremal_graph_theory/morris_2016_number_free_graphs/theorem_1_5 https://erdosproblems.ai/wiki/library/extremal_graph_theory/morris_2016_number_free_graphs/theorem_1_8 https://erdosproblems.ai/wiki/library/extremal_graph_theory/mousset_2017_smaller_subgraphs_minimum_degree https://erdosproblems.ai/wiki/library/extremal_graph_theory/mousset_2017_smaller_subgraphs_minimum_degree/conjecture_1_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/mousset_2017_smaller_subgraphs_minimum_degree/theorem_1_3 https://erdosproblems.ai/wiki/library/extremal_graph_theory/mubayi_2024_order_erdos_rogers_functions https://erdosproblems.ai/wiki/library/extremal_graph_theory/mubayi_2024_order_erdos_rogers_functions/equation_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/mubayi_2024_order_erdos_rogers_functions/theorem_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/nagy_2011_multipartite_turan_problem_density_eigenvalues https://erdosproblems.ai/wiki/library/extremal_graph_theory/nagy_2011_multipartite_turan_problem_density_eigenvalues/corollary_3_13 https://erdosproblems.ai/wiki/library/extremal_graph_theory/nagy_2011_multipartite_turan_problem_density_eigenvalues/corollary_3_8 https://erdosproblems.ai/wiki/library/extremal_graph_theory/nagy_2011_multipartite_turan_problem_density_eigenvalues/theorem_3_11 https://erdosproblems.ai/wiki/library/extremal_graph_theory/nagy_2011_multipartite_turan_problem_density_eigenvalues/theorem_3_9 https://erdosproblems.ai/wiki/library/extremal_graph_theory/nagy_2011_multipartite_turan_problem_density_eigenvalues/theorem_4_6 https://erdosproblems.ai/wiki/library/extremal_graph_theory/nagy_2017_supersaturation_zarankiewicz_towards_erdos_simonovits_sidorenko https://erdosproblems.ai/wiki/library/extremal_graph_theory/nagy_2017_supersaturation_zarankiewicz_towards_erdos_simonovits_sidorenko/theorem_1_10 https://erdosproblems.ai/wiki/library/extremal_graph_theory/nagy_2017_supersaturation_zarankiewicz_towards_erdos_simonovits_sidorenko/theorem_1_9 https://erdosproblems.ai/wiki/library/extremal_graph_theory/nagy_2017_supersaturation_zarankiewicz_towards_erdos_simonovits_sidorenko/theorem_2_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/nagy_2017_supersaturation_zarankiewicz_towards_erdos_simonovits_sidorenko/theorem_3_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/nagy_2017_supersaturation_zarankiewicz_towards_erdos_simonovits_sidorenko/theorem_4_5 https://erdosproblems.ai/wiki/library/extremal_graph_theory/narins_2017_graphs_without_proper_subgraphs_minimum_degree https://erdosproblems.ai/wiki/library/extremal_graph_theory/narins_2017_graphs_without_proper_subgraphs_minimum_degree/lemma_2_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/narins_2017_graphs_without_proper_subgraphs_minimum_degree/lemma_4_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/narins_2017_graphs_without_proper_subgraphs_minimum_degree/problem_6_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/narins_2017_graphs_without_proper_subgraphs_minimum_degree/proposition_5_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/narins_2017_graphs_without_proper_subgraphs_minimum_degree/theorem_1_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/narins_2017_graphs_without_proper_subgraphs_minimum_degree/theorem_1_3 https://erdosproblems.ai/wiki/library/extremal_graph_theory/narins_2017_graphs_without_proper_subgraphs_minimum_degree/theorem_1_4 https://erdosproblems.ai/wiki/library/extremal_graph_theory/narins_2017_graphs_without_proper_subgraphs_minimum_degree/theorem_4_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/nenadov_2025_improved_bound_number_cycle_sets https://erdosproblems.ai/wiki/library/extremal_graph_theory/nenadov_2025_improved_bound_number_cycle_sets/lemma_4_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/nenadov_2025_improved_bound_number_cycle_sets/lemma_4_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/nenadov_2025_improved_bound_number_cycle_sets/theorem_1_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/nesetril_1978_probabilistic_graph_theoretical_method https://erdosproblems.ai/wiki/library/extremal_graph_theory/nesetril_1978_probabilistic_graph_theoretical_method/corollary_3 https://erdosproblems.ai/wiki/library/extremal_graph_theory/nesetril_1978_probabilistic_graph_theoretical_method/corollary_4 https://erdosproblems.ai/wiki/library/extremal_graph_theory/nesetril_1978_probabilistic_graph_theoretical_method/theorem_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/nesetril_1978_probabilistic_graph_theoretical_method/theorem_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/nesetril_1978_probabilistic_graph_theoretical_method/theorem_5 https://erdosproblems.ai/wiki/library/extremal_graph_theory/nguyen_2024_problem_el_zahar_erdos https://erdosproblems.ai/wiki/library/extremal_graph_theory/nguyen_2024_problem_el_zahar_erdos/conjecture_4_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/nguyen_2024_problem_el_zahar_erdos/problem_1_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/nguyen_2024_problem_el_zahar_erdos/result_1_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/nguyen_2024_problem_el_zahar_erdos/result_1_3 https://erdosproblems.ai/wiki/library/extremal_graph_theory/nguyen_2026_induced_subgraph_density https://erdosproblems.ai/wiki/library/extremal_graph_theory/norin_2015_sparse_halves_dense_triangle_free_graphs https://erdosproblems.ai/wiki/library/extremal_graph_theory/norin_2015_sparse_halves_dense_triangle_free_graphs/lemma_2_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/norin_2015_sparse_halves_dense_triangle_free_graphs/theorem_1_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/norin_2015_sparse_halves_dense_triangle_free_graphs/theorem_1_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/norin_2015_sparse_halves_dense_triangle_free_graphs/theorem_4_8 https://erdosproblems.ai/wiki/library/extremal_graph_theory/norin_2015_sparse_halves_dense_triangle_free_graphs/theorem_6_3 https://erdosproblems.ai/wiki/library/extremal_graph_theory/norin_2016_triangle_independent_sets_vs_cuts https://erdosproblems.ai/wiki/library/extremal_graph_theory/norin_2016_triangle_independent_sets_vs_cuts/algorithm_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/norin_2016_triangle_independent_sets_vs_cuts/clebsch_example https://erdosproblems.ai/wiki/library/extremal_graph_theory/norin_2016_triangle_independent_sets_vs_cuts/component_law https://erdosproblems.ai/wiki/library/extremal_graph_theory/norin_2016_triangle_independent_sets_vs_cuts/conjecture_3 https://erdosproblems.ai/wiki/library/extremal_graph_theory/norin_2016_triangle_independent_sets_vs_cuts/cut_parameters https://erdosproblems.ai/wiki/library/extremal_graph_theory/norin_2016_triangle_independent_sets_vs_cuts/deterministic_algorithm https://erdosproblems.ai/wiki/library/extremal_graph_theory/norin_2016_triangle_independent_sets_vs_cuts/extremal_connected https://erdosproblems.ai/wiki/library/extremal_graph_theory/norin_2016_triangle_independent_sets_vs_cuts/historical_context https://erdosproblems.ai/wiki/library/extremal_graph_theory/norin_2016_triangle_independent_sets_vs_cuts/lemma_6 https://erdosproblems.ai/wiki/library/extremal_graph_theory/norin_2016_triangle_independent_sets_vs_cuts/lemma_7 https://erdosproblems.ai/wiki/library/extremal_graph_theory/norin_2016_triangle_independent_sets_vs_cuts/local_characterization https://erdosproblems.ai/wiki/library/extremal_graph_theory/norin_2016_triangle_independent_sets_vs_cuts/mantel_bound https://erdosproblems.ai/wiki/library/extremal_graph_theory/norin_2016_triangle_independent_sets_vs_cuts/notation https://erdosproblems.ai/wiki/library/extremal_graph_theory/norin_2016_triangle_independent_sets_vs_cuts/question_8 https://erdosproblems.ai/wiki/library/extremal_graph_theory/norin_2016_triangle_independent_sets_vs_cuts/theorem_4 https://erdosproblems.ai/wiki/library/extremal_graph_theory/norin_2016_triangle_independent_sets_vs_cuts/theorem_5 https://erdosproblems.ai/wiki/library/extremal_graph_theory/norin_2016_triangle_independent_sets_vs_cuts/theorem_5_bound https://erdosproblems.ai/wiki/library/extremal_graph_theory/openai_2026_linear_cycle_edge_decomposition_graph https://erdosproblems.ai/wiki/library/extremal_graph_theory/openai_2026_linear_cycle_edge_decomposition_graph/corollary_1_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/openai_2026_linear_cycle_edge_decomposition_graph/theorem_1_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/openai_2026_logarithmic_independence_bound_clique_free_graphs https://erdosproblems.ai/wiki/library/extremal_graph_theory/openai_2026_logarithmic_independence_bound_clique_free_graphs/proposition_6_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/openai_2026_logarithmic_independence_bound_clique_free_graphs/theorem_1_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/openai_2026_sharp_terminal_leave_random_triangle_removal https://erdosproblems.ai/wiki/library/extremal_graph_theory/openai_2026_sharp_terminal_leave_random_triangle_removal/theorem_1_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/ore_1961_arc_coverings_graphs https://erdosproblems.ai/wiki/library/extremal_graph_theory/ore_1961_arc_coverings_graphs/theorem_2_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/ore_1961_arc_coverings_graphs/theorem_3_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/ore_1961_arc_coverings_graphs/theorem_4_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/ore_1961_arc_coverings_graphs/theorem_4_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/ore_1961_arc_coverings_graphs/theorem_4_3 https://erdosproblems.ai/wiki/library/extremal_graph_theory/posa_1976_hamiltonian_circuits_random_graphs https://erdosproblems.ai/wiki/library/extremal_graph_theory/posa_1976_hamiltonian_circuits_random_graphs/lemma_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/posa_1976_hamiltonian_circuits_random_graphs/theorem_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/posa_1976_hamiltonian_circuits_random_graphs/theorem_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/posa_1976_hamiltonian_circuits_random_graphs/theorem_3 https://erdosproblems.ai/wiki/library/extremal_graph_theory/pyber_1995_dense_graphs_without_3_regular_subgraphs https://erdosproblems.ai/wiki/library/extremal_graph_theory/pyber_1995_dense_graphs_without_3_regular_subgraphs/theorem_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/pyber_1996_covering_edges_connected_graph_paths https://erdosproblems.ai/wiki/library/extremal_graph_theory/pyber_1996_covering_edges_connected_graph_paths/theorem_0 https://erdosproblems.ai/wiki/library/extremal_graph_theory/pyber_1996_covering_edges_connected_graph_paths/theorem_i https://erdosproblems.ai/wiki/library/extremal_graph_theory/pyber_1996_covering_edges_connected_graph_paths/theorem_ii https://erdosproblems.ai/wiki/library/extremal_graph_theory/ramos_sun_2025_ai_enhanced_approach_tree_unimodality_conjecture https://erdosproblems.ai/wiki/library/extremal_graph_theory/ramos_sun_2025_ai_enhanced_approach_tree_unimodality_conjecture/conjecture_2_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/ramos_sun_2025_ai_enhanced_approach_tree_unimodality_conjecture/conjecture_4_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/ramos_sun_2025_ai_enhanced_approach_tree_unimodality_conjecture/main_result https://erdosproblems.ai/wiki/library/extremal_graph_theory/razborov_2010_3_hypergraphs_forbidden_4_vertex_configurations https://erdosproblems.ai/wiki/library/extremal_graph_theory/razborov_2010_3_hypergraphs_forbidden_4_vertex_configurations/theorem_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/razborov_2022_more_about_sparse_halves_triangle_free https://erdosproblems.ai/wiki/library/extremal_graph_theory/reed_stein_2026_erdos_sos_conjecture_dense_graphs https://erdosproblems.ai/wiki/library/extremal_graph_theory/reed_stein_2026_erdos_sos_conjecture_dense_graphs/corollary_4 https://erdosproblems.ai/wiki/library/extremal_graph_theory/reed_stein_2026_erdos_sos_conjecture_dense_graphs/theorem_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/ren_2024_extremal_triangle_free_graphs_chromatic_number https://erdosproblems.ai/wiki/library/extremal_graph_theory/ren_2024_extremal_triangle_free_graphs_chromatic_number/theorem_1_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/ren_2024_extremal_triangle_free_graphs_chromatic_number/theorem_1_4 https://erdosproblems.ai/wiki/library/extremal_graph_theory/ren_2024_extremal_triangle_free_graphs_chromatic_number/theorem_1_5 https://erdosproblems.ai/wiki/library/extremal_graph_theory/sarkozy_1999_complete_tripartite_subgraphs_coprime_graph_integers https://erdosproblems.ai/wiki/library/extremal_graph_theory/sarkozy_1999_complete_tripartite_subgraphs_coprime_graph_integers/theorem_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/sarkozy_1999_complete_tripartite_subgraphs_coprime_graph_integers/theorem_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/sarkozy_1999_complete_tripartite_subgraphs_coprime_graph_integers/theorem_3 https://erdosproblems.ai/wiki/library/extremal_graph_theory/sauermann_2019_rousseau_schelp_subgraphs_minimum_degree https://erdosproblems.ai/wiki/library/extremal_graph_theory/sauermann_2019_rousseau_schelp_subgraphs_minimum_degree/fact_1_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/sauermann_2019_rousseau_schelp_subgraphs_minimum_degree/theorem_1_3 https://erdosproblems.ai/wiki/library/extremal_graph_theory/shapira_2023_new_approach_brown_erdos_sos_problem https://erdosproblems.ai/wiki/library/extremal_graph_theory/shapira_2023_new_approach_brown_erdos_sos_problem/conjecture_1_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/shapira_2023_new_approach_brown_erdos_sos_problem/theorem_1_4 https://erdosproblems.ai/wiki/library/extremal_graph_theory/shearer_1995_independence_number_sparse_graphs https://erdosproblems.ai/wiki/library/extremal_graph_theory/shearer_1995_independence_number_sparse_graphs/corollary_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/shearer_1995_independence_number_sparse_graphs/corollary_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/shelah_1998_erdos_renyi_conjecture https://erdosproblems.ai/wiki/library/extremal_graph_theory/shelah_1998_erdos_renyi_conjecture/remark_1_4 https://erdosproblems.ai/wiki/library/extremal_graph_theory/shelah_1998_erdos_renyi_conjecture/theorem_1_3 https://erdosproblems.ai/wiki/library/extremal_graph_theory/simonovits_1974_extremal_graph_problems_symmetrical_extremal_graphs https://erdosproblems.ai/wiki/library/extremal_graph_theory/simonovits_1974_extremal_graph_problems_symmetrical_extremal_graphs/remark_2_8 https://erdosproblems.ai/wiki/library/extremal_graph_theory/simonovits_1974_extremal_graph_problems_symmetrical_extremal_graphs/theorem_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/simonovits_1974_extremal_graph_problems_symmetrical_extremal_graphs/theorem_1_a https://erdosproblems.ai/wiki/library/extremal_graph_theory/simonovits_1974_extremal_graph_problems_symmetrical_extremal_graphs/theorem_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/simonovits_1974_extremal_graph_problems_symmetrical_extremal_graphs/theorem_2_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/simonovits_1974_extremal_graph_problems_symmetrical_extremal_graphs/theorem_2_7 https://erdosproblems.ai/wiki/library/extremal_graph_theory/simonovits_1974_extremal_graph_problems_symmetrical_extremal_graphs/theorem_3 https://erdosproblems.ai/wiki/library/extremal_graph_theory/sleszynskanowak_2016_clique_number_square_line_graph https://erdosproblems.ai/wiki/library/extremal_graph_theory/sleszynskanowak_2016_clique_number_square_line_graph/theorem_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/sleszynskanowak_2016_clique_number_square_line_graph/theorem_5 https://erdosproblems.ai/wiki/library/extremal_graph_theory/sleszynskanowak_2016_clique_number_square_line_graph/theorem_7 https://erdosproblems.ai/wiki/library/extremal_graph_theory/sneiderman_2026_five_color_case_balanced_coloring https://erdosproblems.ai/wiki/library/extremal_graph_theory/sneiderman_2026_five_color_case_balanced_coloring/corollary_1_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/sneiderman_2026_five_color_case_balanced_coloring/proposition_7_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/sneiderman_2026_five_color_case_balanced_coloring/theorem_1_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/sneiderman_2026_nine_color_case_balanced_coloring https://erdosproblems.ai/wiki/library/extremal_graph_theory/sneiderman_2026_nine_color_case_balanced_coloring/lemma_2_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/sneiderman_2026_nine_color_case_balanced_coloring/lemma_6_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/sneiderman_2026_nine_color_case_balanced_coloring/proposition_2_4 https://erdosproblems.ai/wiki/library/extremal_graph_theory/sneiderman_2026_nine_color_case_balanced_coloring/theorem_1_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/sneiderman_2026_nine_color_case_balanced_coloring/theorem_4_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/sneiderman_2026_nine_color_case_balanced_coloring/theorem_5_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/sneiderman_2026_seven_eight_color_cases_balanced_coloring https://erdosproblems.ai/wiki/library/extremal_graph_theory/sneiderman_2026_seven_eight_color_cases_balanced_coloring/lemma_3_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/sneiderman_2026_seven_eight_color_cases_balanced_coloring/lemma_5_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/sneiderman_2026_seven_eight_color_cases_balanced_coloring/proposition_2_3 https://erdosproblems.ai/wiki/library/extremal_graph_theory/sneiderman_2026_seven_eight_color_cases_balanced_coloring/proposition_2_4 https://erdosproblems.ai/wiki/library/extremal_graph_theory/sneiderman_2026_seven_eight_color_cases_balanced_coloring/theorem_1_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/sneiderman_2026_seven_eight_color_cases_balanced_coloring/theorem_2_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/sneiderman_2026_seven_eight_color_cases_balanced_coloring/theorem_2_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/sneiderman_2026_six_color_case_balanced_coloring https://erdosproblems.ai/wiki/library/extremal_graph_theory/sneiderman_2026_six_color_case_balanced_coloring/proposition_3_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/sneiderman_2026_six_color_case_balanced_coloring/proposition_4_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/sneiderman_2026_six_color_case_balanced_coloring/proposition_5_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/sneiderman_2026_six_color_case_balanced_coloring/proposition_5_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/sneiderman_2026_six_color_case_balanced_coloring/proposition_6_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/sneiderman_2026_six_color_case_balanced_coloring/theorem_1_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/sorensen_thomassen_1974_k_rails_graphs https://erdosproblems.ai/wiki/library/extremal_graph_theory/sorensen_thomassen_1974_k_rails_graphs/corollary_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/sorensen_thomassen_1974_k_rails_graphs/lemma_6 https://erdosproblems.ai/wiki/library/extremal_graph_theory/sorensen_thomassen_1974_k_rails_graphs/theorem_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/sorensen_thomassen_1974_k_rails_graphs/theorem_3 https://erdosproblems.ai/wiki/library/extremal_graph_theory/sorensen_thomassen_1974_k_rails_graphs/theorem_4 https://erdosproblems.ai/wiki/library/extremal_graph_theory/spencer_1971_cliques_graphs https://erdosproblems.ai/wiki/library/extremal_graph_theory/spencer_1971_cliques_graphs/main_bound_p419 https://erdosproblems.ai/wiki/library/extremal_graph_theory/sudakov_2008_cycle_lengths_sparse_graphs https://erdosproblems.ai/wiki/library/extremal_graph_theory/sudakov_2008_cycle_lengths_sparse_graphs/corollary_1_4 https://erdosproblems.ai/wiki/library/extremal_graph_theory/sudakov_2008_cycle_lengths_sparse_graphs/theorem_1_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/sudakov_2008_cycle_lengths_sparse_graphs/theorem_1_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/sudakov_2008_cycle_lengths_sparse_graphs/theorem_1_3 https://erdosproblems.ai/wiki/library/extremal_graph_theory/sudakov_2008_cycle_lengths_sparse_graphs/theorem_2_7 https://erdosproblems.ai/wiki/library/extremal_graph_theory/sudakov_2022_extremal_number_tight_cycles https://erdosproblems.ai/wiki/library/extremal_graph_theory/sudakov_2022_extremal_number_tight_cycles/theorem_1_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/tashkinov_1982_regular_subgraphs_regular_graphs https://erdosproblems.ai/wiki/library/extremal_graph_theory/tashkinov_1982_regular_subgraphs_regular_graphs/theorem_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/tashkinov_1982_regular_subgraphs_regular_graphs/theorem_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/tashkinov_1982_regular_subgraphs_regular_graphs/theorem_3 https://erdosproblems.ai/wiki/library/extremal_graph_theory/thomassen_1974_minimal_condition_implying_special_k4_subdivision_graph https://erdosproblems.ai/wiki/library/extremal_graph_theory/thomassen_1974_minimal_condition_implying_special_k4_subdivision_graph/corollary https://erdosproblems.ai/wiki/library/extremal_graph_theory/thomassen_1974_minimal_condition_implying_special_k4_subdivision_graph/lemma_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/thomassen_1974_minimal_condition_implying_special_k4_subdivision_graph/theorem https://erdosproblems.ai/wiki/library/extremal_graph_theory/tuza_1990_covering_all_cliques_graph https://erdosproblems.ai/wiki/library/extremal_graph_theory/tuza_1990_covering_all_cliques_graph/proposition_10 https://erdosproblems.ai/wiki/library/extremal_graph_theory/tuza_1990_covering_all_cliques_graph/theorem_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/tuza_1990_covering_all_cliques_graph/theorem_3 https://erdosproblems.ai/wiki/library/extremal_graph_theory/tuza_1990_covering_all_cliques_graph/theorem_7 https://erdosproblems.ai/wiki/library/extremal_graph_theory/tuza_1990_covering_all_cliques_graph/theorem_9 https://erdosproblems.ai/wiki/library/extremal_graph_theory/verstraete_2004_number_sets_cycle_lengths https://erdosproblems.ai/wiki/library/extremal_graph_theory/verstraete_2004_number_sets_cycle_lengths/theorem_1_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/verstraete_2005_unavoidable_cycle_lengths_graphs https://erdosproblems.ai/wiki/library/extremal_graph_theory/verstraete_2005_unavoidable_cycle_lengths_graphs/theorem_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/verstraete_2005_unavoidable_cycle_lengths_graphs/theorem_3_11 https://erdosproblems.ai/wiki/library/extremal_graph_theory/wagon_1980_bound_chromatic_number_graphs_without_certain_induced_subgraphs https://erdosproblems.ai/wiki/library/extremal_graph_theory/wagon_1980_bound_chromatic_number_graphs_without_certain_induced_subgraphs/theorem_p345 https://erdosproblems.ai/wiki/library/extremal_graph_theory/wagon_1980_bound_chromatic_number_graphs_without_certain_induced_subgraphs/theorem_p346 https://erdosproblems.ai/wiki/library/extremal_graph_theory/wang_2010_proof_erdos_faudree_conjecture_quadrilaterals https://erdosproblems.ai/wiki/library/extremal_graph_theory/wang_2010_proof_erdos_faudree_conjecture_quadrilaterals/theorem_b https://erdosproblems.ai/wiki/library/extremal_graph_theory/wang_zhu_2010_unimodality_independence_polynomials_some_graphs https://erdosproblems.ai/wiki/library/extremal_graph_theory/wang_zhu_2010_unimodality_independence_polynomials_some_graphs/counterexample_p14 https://erdosproblems.ai/wiki/library/extremal_graph_theory/wang_zhu_2010_unimodality_independence_polynomials_some_graphs/proposition_3_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/wang_zhu_2010_unimodality_independence_polynomials_some_graphs/proposition_3_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/wang_zhu_2010_unimodality_independence_polynomials_some_graphs/proposition_3_3 https://erdosproblems.ai/wiki/library/extremal_graph_theory/wang_zhu_2010_unimodality_independence_polynomials_some_graphs/theorem_3_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/wang_zhu_2010_unimodality_independence_polynomials_some_graphs/theorem_3_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/wigderson_2022_erdossimonovits_compactness_conjecture_needs_more_assumptions https://erdosproblems.ai/wiki/library/extremal_graph_theory/wigderson_2022_erdossimonovits_compactness_conjecture_needs_more_assumptions/observation_p1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/wolfovitz_2013_k_4_free_graphs_without_large_induced_triangle_free_subgraphs https://erdosproblems.ai/wiki/library/extremal_graph_theory/wolfovitz_2013_k_4_free_graphs_without_large_induced_triangle_free_subgraphs/theorem_1_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/wolfovitz_2013_k_4_free_graphs_without_large_induced_triangle_free_subgraphs/theorem_1_2 https://erdosproblems.ai/wiki/library/extremal_graph_theory/woodall_1972_sufficient_conditions_circuits_graphs https://erdosproblems.ai/wiki/library/extremal_graph_theory/woodall_1972_sufficient_conditions_circuits_graphs/corollary_11_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/woodall_1972_sufficient_conditions_circuits_graphs/theorem_11 https://erdosproblems.ai/wiki/library/extremal_graph_theory/woodall_1972_sufficient_conditions_circuits_graphs/theorem_2d https://erdosproblems.ai/wiki/library/extremal_graph_theory/yi_2026_improved_upper_bound_tuza_s_conjecture https://erdosproblems.ai/wiki/library/extremal_graph_theory/yi_2026_improved_upper_bound_tuza_s_conjecture/corollary_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/yi_2026_improved_upper_bound_tuza_s_conjecture/theorem_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/yosef_et_al_2021_unimodality_independence_polynomials_trees https://erdosproblems.ai/wiki/library/extremal_graph_theory/yosef_et_al_2021_unimodality_independence_polynomials_trees/theorem_5_3 https://erdosproblems.ai/wiki/library/extremal_graph_theory/yosef_et_al_2021_unimodality_independence_polynomials_trees/verification_p15 https://erdosproblems.ai/wiki/library/extremal_graph_theory/zhang_tang_2019_minimum_label_st_cut_integrality_gaps https://erdosproblems.ai/wiki/library/extremal_graph_theory/zhang_tang_2019_minimum_label_st_cut_integrality_gaps/theorem_1_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/zhang_tang_2019_minimum_label_st_cut_integrality_gaps/theorem_2_1 https://erdosproblems.ai/wiki/library/extremal_graph_theory/zhao_2011_proof_n_2_n_2_n_2_conjecture_large_n https://erdosproblems.ai/wiki/library/extremal_graph_theory/zhao_2011_proof_n_2_n_2_n_2_conjecture_large_n/construction_1_7 https://erdosproblems.ai/wiki/library/extremal_graph_theory/zhao_2011_proof_n_2_n_2_n_2_conjecture_large_n/theorem_1_6 https://erdosproblems.ai/wiki/library/factorials_binomials https://erdosproblems.ai/wiki/library/factorials_binomials/alexeev_2025_decomposing_factorial_into_large_factors https://erdosproblems.ai/wiki/library/factorials_binomials/alexeev_2025_decomposing_factorial_into_large_factors/proposition_5_2 https://erdosproblems.ai/wiki/library/factorials_binomials/alexeev_2025_decomposing_factorial_into_large_factors/theorem_1_3 https://erdosproblems.ai/wiki/library/factorials_binomials/andrejic_2016_distinct_residues_factorials https://erdosproblems.ai/wiki/library/factorials_binomials/andrejic_2016_distinct_residues_factorials/computation_p6 https://erdosproblems.ai/wiki/library/factorials_binomials/andrejic_2016_distinct_residues_factorials/congruence_2_6 https://erdosproblems.ai/wiki/library/factorials_binomials/andrejic_2016_distinct_residues_factorials/congruence_2_7 https://erdosproblems.ai/wiki/library/factorials_binomials/andrejic_2016_distinct_residues_factorials/heuristic_4_1 https://erdosproblems.ai/wiki/library/factorials_binomials/andrejic_2016_distinct_residues_factorials/quadruples_p4 https://erdosproblems.ai/wiki/library/factorials_binomials/berend_1998_arithmetical_properties_middle_binomial_coefficients https://erdosproblems.ai/wiki/library/factorials_binomials/bergman_2011_common_divisors_multinomial_coefficients https://erdosproblems.ai/wiki/library/factorials_binomials/bergman_2011_common_divisors_multinomial_coefficients/proposition_15 https://erdosproblems.ai/wiki/library/factorials_binomials/bergman_2011_common_divisors_multinomial_coefficients/theorem_1 https://erdosproblems.ai/wiki/library/factorials_binomials/bergman_2011_common_divisors_multinomial_coefficients/theorem_2 https://erdosproblems.ai/wiki/library/factorials_binomials/bhat_2010_remark_factorials_that_are_products_factorials https://erdosproblems.ai/wiki/library/factorials_binomials/bhat_2010_remark_factorials_that_are_products_factorials/theorem_p350 https://erdosproblems.ai/wiki/library/factorials_binomials/bloom_2025_integers_small_digits_multiple_bases https://erdosproblems.ai/wiki/library/factorials_binomials/brindza_1991_diophantine_problems_involving_powers_factorials https://erdosproblems.ai/wiki/library/factorials_binomials/brindza_1991_diophantine_problems_involving_powers_factorials/theorem_1 https://erdosproblems.ai/wiki/library/factorials_binomials/brindza_1991_diophantine_problems_involving_powers_factorials/theorem_2 https://erdosproblems.ai/wiki/library/factorials_binomials/brindza_1991_diophantine_problems_involving_powers_factorials/theorem_3 https://erdosproblems.ai/wiki/library/factorials_binomials/bui_2023_power_savings_counting_solutions_polynomial_factorial https://erdosproblems.ai/wiki/library/factorials_binomials/bui_2023_power_savings_counting_solutions_polynomial_factorial/proposition_3_2 https://erdosproblems.ai/wiki/library/factorials_binomials/bui_2023_power_savings_counting_solutions_polynomial_factorial/theorem_1_1 https://erdosproblems.ai/wiki/library/factorials_binomials/bui_2026_binomial_coefficients_divisors_avoiding_interval https://erdosproblems.ai/wiki/library/factorials_binomials/bui_2026_binomial_coefficients_divisors_avoiding_interval/corollary_1_6 https://erdosproblems.ai/wiki/library/factorials_binomials/bui_2026_binomial_coefficients_divisors_avoiding_interval/question_1_1 https://erdosproblems.ai/wiki/library/factorials_binomials/bui_2026_binomial_coefficients_divisors_avoiding_interval/theorem_1_2 https://erdosproblems.ai/wiki/library/factorials_binomials/bui_2026_binomial_coefficients_divisors_avoiding_interval/theorem_1_4 https://erdosproblems.ai/wiki/library/factorials_binomials/bui_2026_binomial_coefficients_divisors_avoiding_interval/theorem_5_1 https://erdosproblems.ai/wiki/library/factorials_binomials/corvaja_zannier_2010_integral_points_divisibility_between_values_polynomials_entire_curves_surfaces https://erdosproblems.ai/wiki/library/factorials_binomials/corvaja_zannier_2010_integral_points_divisibility_between_values_polynomials_entire_curves_surfaces/lemma_1 https://erdosproblems.ai/wiki/library/factorials_binomials/corvaja_zannier_2010_integral_points_divisibility_between_values_polynomials_entire_curves_surfaces/theorem_1 https://erdosproblems.ai/wiki/library/factorials_binomials/corvaja_zannier_2010_integral_points_divisibility_between_values_polynomials_entire_curves_surfaces/theorem_2 https://erdosproblems.ai/wiki/library/factorials_binomials/corvaja_zannier_2010_integral_points_divisibility_between_values_polynomials_entire_curves_surfaces/theorem_3 https://erdosproblems.ai/wiki/library/factorials_binomials/corvaja_zannier_2010_integral_points_divisibility_between_values_polynomials_entire_curves_surfaces/theorem_4 https://erdosproblems.ai/wiki/library/factorials_binomials/corvaja_zannier_2010_integral_points_divisibility_between_values_polynomials_entire_curves_surfaces/theorem_6 https://erdosproblems.ai/wiki/library/factorials_binomials/corvaja_zannier_2010_integral_points_divisibility_between_values_polynomials_entire_curves_surfaces/theorem_7 https://erdosproblems.ai/wiki/library/factorials_binomials/corvaja_zannier_2010_integral_points_divisibility_between_values_polynomials_entire_curves_surfaces/theorem_9 https://erdosproblems.ai/wiki/library/factorials_binomials/croot_et_al_2023_conjecture_graham_p_divisibility_central_binomial_coefficients https://erdosproblems.ai/wiki/library/factorials_binomials/croot_et_al_2023_conjecture_graham_p_divisibility_central_binomial_coefficients/theorem_1 https://erdosproblems.ai/wiki/library/factorials_binomials/croot_et_al_2023_conjecture_graham_p_divisibility_central_binomial_coefficients/theorem_2 https://erdosproblems.ai/wiki/library/factorials_binomials/dusart_2010_estimates_some_functions_over_primes_without_r_h https://erdosproblems.ai/wiki/library/factorials_binomials/dusart_2010_estimates_some_functions_over_primes_without_r_h/proposition_5_1 https://erdosproblems.ai/wiki/library/factorials_binomials/dusart_2010_estimates_some_functions_over_primes_without_r_h/proposition_6_6 https://erdosproblems.ai/wiki/library/factorials_binomials/dusart_2010_estimates_some_functions_over_primes_without_r_h/proposition_6_7 https://erdosproblems.ai/wiki/library/factorials_binomials/dusart_2010_estimates_some_functions_over_primes_without_r_h/proposition_6_8 https://erdosproblems.ai/wiki/library/factorials_binomials/dusart_2010_estimates_some_functions_over_primes_without_r_h/theorem_5_2 https://erdosproblems.ai/wiki/library/factorials_binomials/dusart_2010_estimates_some_functions_over_primes_without_r_h/theorem_6_10 https://erdosproblems.ai/wiki/library/factorials_binomials/dusart_2010_estimates_some_functions_over_primes_without_r_h/theorem_6_11 https://erdosproblems.ai/wiki/library/factorials_binomials/dusart_2010_estimates_some_functions_over_primes_without_r_h/theorem_6_12 https://erdosproblems.ai/wiki/library/factorials_binomials/dusart_2010_estimates_some_functions_over_primes_without_r_h/theorem_6_9 https://erdosproblems.ai/wiki/library/factorials_binomials/ecklund_1974_new_function_associated_prime_factors https://erdosproblems.ai/wiki/library/factorials_binomials/ecklund_1974_new_function_associated_prime_factors/conjecture_p649 https://erdosproblems.ai/wiki/library/factorials_binomials/ecklund_1974_new_function_associated_prime_factors/conjectures_1_5 https://erdosproblems.ai/wiki/library/factorials_binomials/ecklund_1974_new_function_associated_prime_factors/inequality_6 https://erdosproblems.ai/wiki/library/factorials_binomials/ecklund_1974_new_function_associated_prime_factors/inequality_7 https://erdosproblems.ai/wiki/library/factorials_binomials/ecklund_1974_new_function_associated_prime_factors/inequality_8 https://erdosproblems.ai/wiki/library/factorials_binomials/ecklund_1974_new_function_associated_prime_factors/table_1 https://erdosproblems.ai/wiki/library/factorials_binomials/ecklund_et_al_1978_prime_factorization_binomial_coefficients https://erdosproblems.ai/wiki/library/factorials_binomials/ecklund_et_al_1978_prime_factorization_binomial_coefficients/corollary_p259 https://erdosproblems.ai/wiki/library/factorials_binomials/ecklund_et_al_1978_prime_factorization_binomial_coefficients/main_theorem https://erdosproblems.ai/wiki/library/factorials_binomials/ecklundjr_1969_prime_divisors_binomial_coefficient https://erdosproblems.ai/wiki/library/factorials_binomials/ecklundjr_1969_prime_divisors_binomial_coefficient/evidence https://erdosproblems.ai/wiki/library/factorials_binomials/ecklundjr_1969_prime_divisors_binomial_coefficient/evidence/verify https://erdosproblems.ai/wiki/library/factorials_binomials/ecklundjr_1969_prime_divisors_binomial_coefficient/evidence/verify/final_receipt https://erdosproblems.ai/wiki/library/factorials_binomials/ecklundjr_1969_prime_divisors_binomial_coefficient/evidence/verify/full_proof_review https://erdosproblems.ai/wiki/library/factorials_binomials/ecklundjr_1969_prime_divisors_binomial_coefficient/external_inputs https://erdosproblems.ai/wiki/library/factorials_binomials/ecklundjr_1969_prime_divisors_binomial_coefficient/lemma_1 https://erdosproblems.ai/wiki/library/factorials_binomials/ecklundjr_1969_prime_divisors_binomial_coefficient/lemma_2 https://erdosproblems.ai/wiki/library/factorials_binomials/ecklundjr_1969_prime_divisors_binomial_coefficient/lemma_3 https://erdosproblems.ai/wiki/library/factorials_binomials/ecklundjr_1969_prime_divisors_binomial_coefficient/theorem https://erdosproblems.ai/wiki/library/factorials_binomials/erdos_1934_theorem_sylvester_schur https://erdosproblems.ai/wiki/library/factorials_binomials/erdos_1934_theorem_sylvester_schur/lemma_p283 https://erdosproblems.ai/wiki/library/factorials_binomials/erdos_1934_theorem_sylvester_schur/theorem https://erdosproblems.ai/wiki/library/factorials_binomials/erdos_1937_uber_diophantische_gleichungen_der_form_und https://erdosproblems.ai/wiki/library/factorials_binomials/erdos_1937_uber_diophantische_gleichungen_der_form_und/equation_ia https://erdosproblems.ai/wiki/library/factorials_binomials/erdos_1937_uber_diophantische_gleichungen_der_form_und/satz_1 https://erdosproblems.ai/wiki/library/factorials_binomials/erdos_1937_uber_diophantische_gleichungen_der_form_und/satz_2 https://erdosproblems.ai/wiki/library/factorials_binomials/erdos_1937_uber_diophantische_gleichungen_der_form_und/satz_3 https://erdosproblems.ai/wiki/library/factorials_binomials/erdos_1937_uber_diophantische_gleichungen_der_form_und/satz_4 https://erdosproblems.ai/wiki/library/factorials_binomials/erdos_1955_consecutive_integers https://erdosproblems.ai/wiki/library/factorials_binomials/erdos_1955_consecutive_integers/inequality_3 https://erdosproblems.ai/wiki/library/factorials_binomials/erdos_1955_consecutive_integers/theorem_1 https://erdosproblems.ai/wiki/library/factorials_binomials/erdos_1955_consecutive_integers/theorem_2 https://erdosproblems.ai/wiki/library/factorials_binomials/erdos_1955_consecutive_integers/theorem_3 https://erdosproblems.ai/wiki/library/factorials_binomials/erdos_1975_prime_factors https://erdosproblems.ai/wiki/library/factorials_binomials/erdos_1975_prime_factors/conjecture_p90_factorial_quotient https://erdosproblems.ai/wiki/library/factorials_binomials/erdos_1975_prime_factors/conjecture_p90_starred_sum https://erdosproblems.ai/wiki/library/factorials_binomials/erdos_1975_prime_factors/conjecture_p91_same_prime_divisors https://erdosproblems.ai/wiki/library/factorials_binomials/erdos_1975_prime_factors/corollary https://erdosproblems.ai/wiki/library/factorials_binomials/erdos_1975_prime_factors/inequality_7 https://erdosproblems.ai/wiki/library/factorials_binomials/erdos_1975_prime_factors/inequality_8 https://erdosproblems.ai/wiki/library/factorials_binomials/erdos_1975_prime_factors/question_p91_factorial_divisibility https://erdosproblems.ai/wiki/library/factorials_binomials/erdos_1975_prime_factors/question_p91_small_prime_denominators https://erdosproblems.ai/wiki/library/factorials_binomials/erdos_1975_prime_factors/theorem_1 https://erdosproblems.ai/wiki/library/factorials_binomials/erdos_1975_prime_factors/theorem_2 https://erdosproblems.ai/wiki/library/factorials_binomials/erdos_1975_prime_factors/theorem_3 https://erdosproblems.ai/wiki/library/factorials_binomials/erdos_1975_prime_factors/theorem_4 https://erdosproblems.ai/wiki/library/factorials_binomials/erdos_1975_prime_factors/theorem_5 https://erdosproblems.ai/wiki/library/factorials_binomials/erdos_1978_number_theoretic_problems_binomial_coefficients https://erdosproblems.ai/wiki/library/factorials_binomials/erdos_1978_number_theoretic_problems_binomial_coefficients/conjecture_1 https://erdosproblems.ai/wiki/library/factorials_binomials/erdos_1978_number_theoretic_problems_binomial_coefficients/inequality_3 https://erdosproblems.ai/wiki/library/factorials_binomials/erdos_1978_number_theoretic_problems_binomial_coefficients/inequality_6 https://erdosproblems.ai/wiki/library/factorials_binomials/erdos_1978_number_theoretic_problems_binomial_coefficients/inequality_7 https://erdosproblems.ai/wiki/library/factorials_binomials/erdos_1978_number_theoretic_problems_binomial_coefficients/inequality_8 https://erdosproblems.ai/wiki/library/factorials_binomials/erdos_1978_number_theoretic_problems_binomial_coefficients/inequality_9 https://erdosproblems.ai/wiki/library/factorials_binomials/erdos_1982_another_property_239_related_questions https://erdosproblems.ai/wiki/library/factorials_binomials/erdos_1982_another_property_239_related_questions/theorem_1 https://erdosproblems.ai/wiki/library/factorials_binomials/erdos_1982_another_property_239_related_questions/theorem_2 https://erdosproblems.ai/wiki/library/factorials_binomials/erdos_1982_another_property_239_related_questions/theorem_3 https://erdosproblems.ai/wiki/library/factorials_binomials/erdos_1982_miscellaneous_problems_number_theory https://erdosproblems.ai/wiki/library/factorials_binomials/erdos_1982_miscellaneous_problems_number_theory/conjecture_p27 https://erdosproblems.ai/wiki/library/factorials_binomials/erdos_1982_miscellaneous_problems_number_theory/conjecture_p28 https://erdosproblems.ai/wiki/library/factorials_binomials/erdos_1982_miscellaneous_problems_number_theory/display_26 https://erdosproblems.ai/wiki/library/factorials_binomials/erdos_1982_miscellaneous_problems_number_theory/display_4 https://erdosproblems.ai/wiki/library/factorials_binomials/erdos_1982_miscellaneous_problems_number_theory/remark_p28 https://erdosproblems.ai/wiki/library/factorials_binomials/erdos_1982_miscellaneous_problems_number_theory/theorem_1 https://erdosproblems.ai/wiki/library/factorials_binomials/erdos_1982_miscellaneous_problems_number_theory/theorem_2 https://erdosproblems.ai/wiki/library/factorials_binomials/erdos_1982_miscellaneous_problems_number_theory/theorem_3 https://erdosproblems.ai/wiki/library/factorials_binomials/erdos_1988_prime_factors_binomial_coefficients_related_problems https://erdosproblems.ai/wiki/library/factorials_binomials/erdos_1993_estimates_least_prime_factor_binomial_coefficient https://erdosproblems.ai/wiki/library/factorials_binomials/erdos_1996_number_divisors https://erdosproblems.ai/wiki/library/factorials_binomials/erdos_1996_number_divisors/corollary_1 https://erdosproblems.ai/wiki/library/factorials_binomials/erdos_1996_number_divisors/corollary_2 https://erdosproblems.ai/wiki/library/factorials_binomials/erdos_1996_number_divisors/corollary_3 https://erdosproblems.ai/wiki/library/factorials_binomials/erdos_1996_number_divisors/lemma_1 https://erdosproblems.ai/wiki/library/factorials_binomials/erdos_1996_number_divisors/lemma_3 https://erdosproblems.ai/wiki/library/factorials_binomials/erdos_1996_number_divisors/theorem_1 https://erdosproblems.ai/wiki/library/factorials_binomials/erdos_1996_number_divisors/theorem_2 https://erdosproblems.ai/wiki/library/factorials_binomials/erdos_1996_number_divisors/theorem_3 https://erdosproblems.ai/wiki/library/factorials_binomials/erdos_1996_number_divisors/theorem_4 https://erdosproblems.ai/wiki/library/factorials_binomials/erdos_1996_number_divisors/theorem_5 https://erdosproblems.ai/wiki/library/factorials_binomials/erdos_1996_number_divisors/theorem_6 https://erdosproblems.ai/wiki/library/factorials_binomials/granville_1996_explicit_bounds_exponential_sums_scarcity_squarefree https://erdosproblems.ai/wiki/library/factorials_binomials/granville_1996_explicit_bounds_exponential_sums_scarcity_squarefree/theorem_1 https://erdosproblems.ai/wiki/library/factorials_binomials/granville_1996_explicit_bounds_exponential_sums_scarcity_squarefree/theorem_1_star https://erdosproblems.ai/wiki/library/factorials_binomials/granville_1996_explicit_bounds_exponential_sums_scarcity_squarefree/theorem_2 https://erdosproblems.ai/wiki/library/factorials_binomials/granville_1996_explicit_bounds_exponential_sums_scarcity_squarefree/theorem_3 https://erdosproblems.ai/wiki/library/factorials_binomials/granville_1996_explicit_bounds_exponential_sums_scarcity_squarefree/theorem_4 https://erdosproblems.ai/wiki/library/factorials_binomials/granville_1996_explicit_bounds_exponential_sums_scarcity_squarefree/theorem_5 https://erdosproblems.ai/wiki/library/factorials_binomials/granville_1996_explicit_bounds_exponential_sums_scarcity_squarefree/theorem_6 https://erdosproblems.ai/wiki/library/factorials_binomials/granville_1996_explicit_bounds_exponential_sums_scarcity_squarefree/theorem_7 https://erdosproblems.ai/wiki/library/factorials_binomials/granville_1996_explicit_bounds_exponential_sums_scarcity_squarefree/theorem_8 https://erdosproblems.ai/wiki/library/factorials_binomials/granville_1996_explicit_bounds_exponential_sums_scarcity_squarefree/theorem_9 https://erdosproblems.ai/wiki/library/factorials_binomials/granville_1997_arithmetic_properties_binomial_coefficients_i https://erdosproblems.ai/wiki/library/factorials_binomials/grebennikov_2024_sequence https://erdosproblems.ai/wiki/library/factorials_binomials/habsieger_2019_explicit_bounds_diophantine_equation https://erdosproblems.ai/wiki/library/factorials_binomials/habsieger_2019_explicit_bounds_diophantine_equation/theorem_1_1 https://erdosproblems.ai/wiki/library/factorials_binomials/habsieger_2019_explicit_bounds_diophantine_equation/theorem_1_2 https://erdosproblems.ai/wiki/library/factorials_binomials/habsieger_2019_explicit_bounds_diophantine_equation/theorem_1_3 https://erdosproblems.ai/wiki/library/factorials_binomials/habsieger_2019_explicit_bounds_diophantine_equation/theorem_1_4 https://erdosproblems.ai/wiki/library/factorials_binomials/heier_levin_2025_schmidt_nochka_theorem_closed_subschemes_subgeneral_position https://erdosproblems.ai/wiki/library/factorials_binomials/heier_levin_2025_schmidt_nochka_theorem_closed_subschemes_subgeneral_position/lemma_3_1 https://erdosproblems.ai/wiki/library/factorials_binomials/heier_levin_2025_schmidt_nochka_theorem_closed_subschemes_subgeneral_position/theorem_1_2 https://erdosproblems.ai/wiki/library/factorials_binomials/heier_levin_2025_schmidt_nochka_theorem_closed_subschemes_subgeneral_position/theorem_1_6 https://erdosproblems.ai/wiki/library/factorials_binomials/heier_levin_2025_schmidt_nochka_theorem_closed_subschemes_subgeneral_position/theorem_1_7 https://erdosproblems.ai/wiki/library/factorials_binomials/heier_levin_2025_schmidt_nochka_theorem_closed_subschemes_subgeneral_position/theorem_1_8 https://erdosproblems.ai/wiki/library/factorials_binomials/klurman_2017_distribution_factorials_modulo https://erdosproblems.ai/wiki/library/factorials_binomials/klurman_2017_distribution_factorials_modulo/corollary_3_3 https://erdosproblems.ai/wiki/library/factorials_binomials/klurman_2017_distribution_factorials_modulo/theorem_2_1 https://erdosproblems.ai/wiki/library/factorials_binomials/klurman_2017_distribution_factorials_modulo/theorem_3_1 https://erdosproblems.ai/wiki/library/factorials_binomials/klurman_2017_distribution_factorials_modulo/theorem_3_2 https://erdosproblems.ai/wiki/library/factorials_binomials/li_2026_erdos_problem_684_at_density_one https://erdosproblems.ai/wiki/library/factorials_binomials/li_2026_erdos_problem_684_at_density_one/corollary_1_2 https://erdosproblems.ai/wiki/library/factorials_binomials/li_2026_erdos_problem_684_at_density_one/proposition_5_3 https://erdosproblems.ai/wiki/library/factorials_binomials/li_2026_erdos_problem_684_at_density_one/theorem_1_1 https://erdosproblems.ai/wiki/library/factorials_binomials/li_2026_erdos_problem_684_at_density_one/theorem_1_3 https://erdosproblems.ai/wiki/library/factorials_binomials/li_2026_prime_power_rarefaction_density_one_lower https://erdosproblems.ai/wiki/library/factorials_binomials/li_2026_prime_power_rarefaction_density_one_lower/corollary_1_3 https://erdosproblems.ai/wiki/library/factorials_binomials/li_2026_prime_power_rarefaction_density_one_lower/theorem_1_1 https://erdosproblems.ai/wiki/library/factorials_binomials/li_2026_prime_power_rarefaction_density_one_lower/theorem_1_2 https://erdosproblems.ai/wiki/library/factorials_binomials/li_2026_prime_power_rarefaction_density_one_lower/theorem_1_4 https://erdosproblems.ai/wiki/library/factorials_binomials/li_2026_resolution_erdos_problem_731_under_dyadic https://erdosproblems.ai/wiki/library/factorials_binomials/li_2026_resolution_erdos_problem_731_under_dyadic/corollary_1_7 https://erdosproblems.ai/wiki/library/factorials_binomials/li_2026_resolution_erdos_problem_731_under_dyadic/lemma_2_1 https://erdosproblems.ai/wiki/library/factorials_binomials/li_2026_resolution_erdos_problem_731_under_dyadic/theorem_1_10 https://erdosproblems.ai/wiki/library/factorials_binomials/li_2026_resolution_erdos_problem_731_under_dyadic/theorem_1_3 https://erdosproblems.ai/wiki/library/factorials_binomials/li_2026_resolution_erdos_problem_731_under_dyadic/theorem_1_4 https://erdosproblems.ai/wiki/library/factorials_binomials/li_2026_resolution_erdos_problem_731_under_dyadic/theorem_5_2 https://erdosproblems.ai/wiki/library/factorials_binomials/luca_2002_diophantine_equation_result_m https://erdosproblems.ai/wiki/library/factorials_binomials/luca_2002_diophantine_equation_result_m/proposition_1 https://erdosproblems.ai/wiki/library/factorials_binomials/matomaki_2022_singmaster_s_conjecture_interior_pascal_s https://erdosproblems.ai/wiki/library/factorials_binomials/mausberg_2026_thirteen_layer_lower_bound_erdos_problem https://erdosproblems.ai/wiki/library/factorials_binomials/mausberg_2026_thirteen_layer_lower_bound_erdos_problem/theorem_1 https://erdosproblems.ai/wiki/library/factorials_binomials/naciri_2025_brocard_ramanujan_equation_free_integers_prime https://erdosproblems.ai/wiki/library/factorials_binomials/pomerance_2015_divisors_middle_binomial_coefficient https://erdosproblems.ai/wiki/library/factorials_binomials/pomerance_2015_divisors_middle_binomial_coefficient/lemma_1 https://erdosproblems.ai/wiki/library/factorials_binomials/pomerance_2015_divisors_middle_binomial_coefficient/theorem_1 https://erdosproblems.ai/wiki/library/factorials_binomials/pomerance_2015_divisors_middle_binomial_coefficient/theorem_2 https://erdosproblems.ai/wiki/library/factorials_binomials/pomerance_2015_divisors_middle_binomial_coefficient/theorem_3 https://erdosproblems.ai/wiki/library/factorials_binomials/pomerance_2015_divisors_middle_binomial_coefficient/theorem_4 https://erdosproblems.ai/wiki/library/factorials_binomials/pomerance_2026_remarks_middle_binomial_coefficient https://erdosproblems.ai/wiki/library/factorials_binomials/rousseau_et_al_2024_divisibility_polynomials_degeneracy_integral_points https://erdosproblems.ai/wiki/library/factorials_binomials/rousseau_et_al_2024_divisibility_polynomials_degeneracy_integral_points/corollary_1_2 https://erdosproblems.ai/wiki/library/factorials_binomials/rousseau_et_al_2024_divisibility_polynomials_degeneracy_integral_points/lemma_2_4 https://erdosproblems.ai/wiki/library/factorials_binomials/rousseau_et_al_2024_divisibility_polynomials_degeneracy_integral_points/proposition_1_4 https://erdosproblems.ai/wiki/library/factorials_binomials/rousseau_et_al_2024_divisibility_polynomials_degeneracy_integral_points/theorem_1_1 https://erdosproblems.ai/wiki/library/factorials_binomials/rousseau_et_al_2024_divisibility_polynomials_degeneracy_integral_points/theorem_1_3 https://erdosproblems.ai/wiki/library/factorials_binomials/rousseau_et_al_2024_divisibility_polynomials_degeneracy_integral_points/theorem_1_5 https://erdosproblems.ai/wiki/library/factorials_binomials/rousseau_et_al_2024_divisibility_polynomials_degeneracy_integral_points/theorem_1_6 https://erdosproblems.ai/wiki/library/factorials_binomials/rousseau_et_al_2024_divisibility_polynomials_degeneracy_integral_points/theorem_1_7 https://erdosproblems.ai/wiki/library/factorials_binomials/rousseau_et_al_2024_divisibility_polynomials_degeneracy_integral_points/theorem_4_1 https://erdosproblems.ai/wiki/library/factorials_binomials/sander_1992_prime_power_divisors_binomial_coefficients https://erdosproblems.ai/wiki/library/factorials_binomials/sander_1992_prime_power_divisors_binomial_coefficients/theorem_1 https://erdosproblems.ai/wiki/library/factorials_binomials/sander_1992_prime_power_divisors_binomial_coefficients/theorem_2 https://erdosproblems.ai/wiki/library/factorials_binomials/sander_1992_prime_power_divisors_binomial_coefficients/theorem_3 https://erdosproblems.ai/wiki/library/factorials_binomials/schinzel_1958_sur_un_probleme_de_p_erdos https://erdosproblems.ai/wiki/library/factorials_binomials/shorey_tijdeman_2007_prime_factors_arithmetic_progressions_binomial_coefficients https://erdosproblems.ai/wiki/library/factorials_binomials/shorey_tijdeman_2007_prime_factors_arithmetic_progressions_binomial_coefficients/binomial_greatest_prime_factor_p5 https://erdosproblems.ai/wiki/library/factorials_binomials/shorey_tijdeman_2007_prime_factors_arithmetic_progressions_binomial_coefficients/theorem_1 https://erdosproblems.ai/wiki/library/factorials_binomials/sorenson_2020_algorithm_estimates_erdos_selfridge_function https://erdosproblems.ai/wiki/library/factorials_binomials/sorenson_2020_algorithm_estimates_erdos_selfridge_function/computation_k_le_375 https://erdosproblems.ai/wiki/library/factorials_binomials/sorenson_2020_algorithm_estimates_erdos_selfridge_function/theorem_5_1 https://erdosproblems.ai/wiki/library/factorials_binomials/sorenson_2020_algorithm_estimates_erdos_selfridge_function/theorem_5_2 https://erdosproblems.ai/wiki/library/factorials_binomials/sorenson_2020_algorithm_estimates_erdos_selfridge_function/theorem_6_1 https://erdosproblems.ai/wiki/library/factorials_binomials/sorenson_2020_algorithm_estimates_erdos_selfridge_function/theorem_6_5 https://erdosproblems.ai/wiki/library/factorials_binomials/sothanaphan_2026_resolution_erdos_problem_728_writeup_aristotle https://erdosproblems.ai/wiki/library/factorials_binomials/sothanaphan_2026_resolution_erdos_problem_728_writeup_aristotle/source_digest https://erdosproblems.ai/wiki/library/factorials_binomials/trudgian_2013_there_are_no_socialist_primes_less https://erdosproblems.ai/wiki/library/factorials_binomials/trudgian_2013_there_are_no_socialist_primes_less/computation_p3 https://erdosproblems.ai/wiki/library/factorials_binomials/trudgian_2013_there_are_no_socialist_primes_less/condition_3 https://erdosproblems.ai/wiki/library/factorials_binomials/trudgian_2013_there_are_no_socialist_primes_less/conjecture_p4 https://erdosproblems.ai/wiki/library/factorials_binomials/van_doorn_rocca_2026_binomial_coefficients_sharing_large_prime_divisor https://erdosproblems.ai/wiki/library/factorials_binomials/van_doorn_rocca_2026_partial_progress_erdos_problem_699 https://erdosproblems.ai/wiki/library/factorials_binomials/van_doorn_rocca_2026_partial_progress_erdos_problem_699/lemma_2_1 https://erdosproblems.ai/wiki/library/factorials_binomials/van_doorn_rocca_2026_partial_progress_erdos_problem_699/lemma_2_2 https://erdosproblems.ai/wiki/library/factorials_binomials/van_doorn_rocca_2026_partial_progress_erdos_problem_699/lemma_4_1 https://erdosproblems.ai/wiki/library/factorials_binomials/van_doorn_rocca_2026_partial_progress_erdos_problem_699/proposition_2_4 https://erdosproblems.ai/wiki/library/factorials_binomials/van_doorn_rocca_2026_partial_progress_erdos_problem_699/proposition_3_1 https://erdosproblems.ai/wiki/library/factorials_binomials/van_doorn_rocca_2026_partial_progress_erdos_problem_699/proposition_4_2 https://erdosproblems.ai/wiki/library/factorials_binomials/van_doorn_rocca_2026_partial_progress_erdos_problem_699/proposition_4_3 https://erdosproblems.ai/wiki/library/factorials_binomials/van_doorn_rocca_2026_partial_progress_erdos_problem_699/theorem_1_2 https://erdosproblems.ai/wiki/library/factorials_binomials/van_doorn_rocca_2026_partial_progress_erdos_problem_699/theorem_4_4 https://erdosproblems.ai/wiki/library/factorials_binomials/van_doorn_rocca_2026_partial_progress_erdos_problem_699/theorem_5_3 https://erdosproblems.ai/wiki/library/factorials_binomials/van_doorn_rocca_2026_partial_progress_erdos_problem_699/theorem_5_6 https://erdosproblems.ai/wiki/library/factorials_binomials/velammal_1995_is_binomial_coefficient_squarefree https://erdosproblems.ai/wiki/library/factorials_binomials/velammal_1995_is_binomial_coefficient_squarefree/main_theorem https://erdosproblems.ai/wiki/library/factorials_binomials/velammal_1995_is_binomial_coefficient_squarefree/theorem_2 https://erdosproblems.ai/wiki/library/factorials_binomials/velammal_1995_is_binomial_coefficient_squarefree/theorem_p24 https://erdosproblems.ai/wiki/library/factorials_binomials/wang_2026_proposed_solution_erdos_problem_390 https://erdosproblems.ai/wiki/library/factorials_binomials/xiao_2024_greatest_common_divisors_polynomials_almost_units_applications_linear_recurrence_sequences https://erdosproblems.ai/wiki/library/factorials_binomials/xiao_2024_greatest_common_divisors_polynomials_almost_units_applications_linear_recurrence_sequences/corollary_3_7 https://erdosproblems.ai/wiki/library/factorials_binomials/xiao_2024_greatest_common_divisors_polynomials_almost_units_applications_linear_recurrence_sequences/definition_2_2 https://erdosproblems.ai/wiki/library/factorials_binomials/xiao_2024_greatest_common_divisors_polynomials_almost_units_applications_linear_recurrence_sequences/theorem_3_3 https://erdosproblems.ai/wiki/library/factorials_binomials/xiao_2024_greatest_common_divisors_polynomials_almost_units_applications_linear_recurrence_sequences/theorem_3_6 https://erdosproblems.ai/wiki/library/factorials_binomials/xiao_2024_greatest_common_divisors_polynomials_almost_units_applications_linear_recurrence_sequences/theorem_4_2 https://erdosproblems.ai/wiki/library/factorials_binomials/xiao_2024_greatest_common_divisors_polynomials_almost_units_applications_linear_recurrence_sequences/theorem_4_8 https://erdosproblems.ai/wiki/library/factorials_binomials/xiao_2024_greatest_common_divisors_polynomials_almost_units_applications_linear_recurrence_sequences/theorem_4_9 https://erdosproblems.ai/wiki/library/factorials_binomials/xiao_2024_greatest_common_divisors_polynomials_almost_units_applications_linear_recurrence_sequences/theorem_6_1 https://erdosproblems.ai/wiki/library/factorials_binomials/yasufuku_2026_gcd_inequalities_arising_from_codimension_2_blowups https://erdosproblems.ai/wiki/library/graph_coloring https://erdosproblems.ai/wiki/library/graph_coloring/adamczewski_2026_erdos74 https://erdosproblems.ai/wiki/library/graph_coloring/adamczewski_2026_erdos74/joining_lemma https://erdosproblems.ai/wiki/library/graph_coloring/adamczewski_2026_erdos74/lemma_2_1 https://erdosproblems.ai/wiki/library/graph_coloring/adamczewski_2026_erdos74/lemma_3_1 https://erdosproblems.ai/wiki/library/graph_coloring/adamczewski_2026_erdos74/lemma_3_2 https://erdosproblems.ai/wiki/library/graph_coloring/adamczewski_2026_erdos74/lemma_3_3 https://erdosproblems.ai/wiki/library/graph_coloring/adamczewski_2026_erdos74/lemma_5_1 https://erdosproblems.ai/wiki/library/graph_coloring/adamczewski_2026_erdos74/proposition_2_2 https://erdosproblems.ai/wiki/library/graph_coloring/adamczewski_2026_erdos74/proposition_4_1 https://erdosproblems.ai/wiki/library/graph_coloring/adamczewski_2026_erdos74/proposition_5_2 https://erdosproblems.ai/wiki/library/graph_coloring/adamczewski_2026_erdos74/theorem_1_1 https://erdosproblems.ai/wiki/library/graph_coloring/akdemir_2015_advances_defective_parameters_graphs https://erdosproblems.ai/wiki/library/graph_coloring/akhiiarov_2025_lower_bounds_independence_numbers_distance_graphs https://erdosproblems.ai/wiki/library/graph_coloring/akhiiarov_2025_lower_bounds_independence_numbers_distance_graphs/theorem_5 https://erdosproblems.ai/wiki/library/graph_coloring/akhiiarov_2025_lower_bounds_independence_numbers_distance_graphs/theorem_6 https://erdosproblems.ai/wiki/library/graph_coloring/akhiiarov_2025_lower_bounds_independence_numbers_distance_graphs/theorem_7 https://erdosproblems.ai/wiki/library/graph_coloring/akhiiarov_2025_lower_bounds_independence_numbers_distance_graphs/theorem_8 https://erdosproblems.ai/wiki/library/graph_coloring/alesandroni_2021_erdos_faber_lovasz_conjecture_weakly https://erdosproblems.ai/wiki/library/graph_coloring/alesandroni_2021_erdos_faber_lovasz_conjecture_weakly/definition_3_6 https://erdosproblems.ai/wiki/library/graph_coloring/alesandroni_2021_erdos_faber_lovasz_conjecture_weakly/theorem_3_5 https://erdosproblems.ai/wiki/library/graph_coloring/alesandroni_2021_erdos_faber_lovasz_conjecture_weakly/theorem_3_7 https://erdosproblems.ai/wiki/library/graph_coloring/alon_1985_hypergraphs_high_chromatic_number https://erdosproblems.ai/wiki/library/graph_coloring/alon_1985_hypergraphs_high_chromatic_number/conjecture_p389 https://erdosproblems.ai/wiki/library/graph_coloring/alon_1985_hypergraphs_high_chromatic_number/proposition_1 https://erdosproblems.ai/wiki/library/graph_coloring/alon_1985_hypergraphs_high_chromatic_number/proposition_2 https://erdosproblems.ai/wiki/library/graph_coloring/alon_1985_hypergraphs_high_chromatic_number/proposition_3 https://erdosproblems.ai/wiki/library/graph_coloring/alon_1986_chromatic_number_kneser_hypergraphs https://erdosproblems.ai/wiki/library/graph_coloring/alon_1986_chromatic_number_kneser_hypergraphs/corollary_1_2 https://erdosproblems.ai/wiki/library/graph_coloring/alon_1986_chromatic_number_kneser_hypergraphs/theorem_1_1 https://erdosproblems.ai/wiki/library/graph_coloring/alon_1986_chromatic_number_kneser_hypergraphs/theorem_1_3 https://erdosproblems.ai/wiki/library/graph_coloring/alon_1991_acyclic_coloring_graphs https://erdosproblems.ai/wiki/library/graph_coloring/alon_1991_acyclic_coloring_graphs/corollary_1_4 https://erdosproblems.ai/wiki/library/graph_coloring/alon_1991_acyclic_coloring_graphs/theorem_1_1 https://erdosproblems.ai/wiki/library/graph_coloring/alon_1991_acyclic_coloring_graphs/theorem_1_2 https://erdosproblems.ai/wiki/library/graph_coloring/alon_1991_acyclic_coloring_graphs/theorem_1_3 https://erdosproblems.ai/wiki/library/graph_coloring/alon_1992_choice_numbers_graphs_probabilistic_approach https://erdosproblems.ai/wiki/library/graph_coloring/alon_1992_choice_numbers_graphs_probabilistic_approach/corollary_1_2 https://erdosproblems.ai/wiki/library/graph_coloring/alon_1992_choice_numbers_graphs_probabilistic_approach/corollary_1_3 https://erdosproblems.ai/wiki/library/graph_coloring/alon_1992_choice_numbers_graphs_probabilistic_approach/theorem_1_1 https://erdosproblems.ai/wiki/library/graph_coloring/alon_1992_colorings_orientations_graphs https://erdosproblems.ai/wiki/library/graph_coloring/alon_1992_colorings_orientations_graphs/corollary_1_2 https://erdosproblems.ai/wiki/library/graph_coloring/alon_1992_colorings_orientations_graphs/corollary_1_3 https://erdosproblems.ai/wiki/library/graph_coloring/alon_1992_colorings_orientations_graphs/corollary_1_4 https://erdosproblems.ai/wiki/library/graph_coloring/alon_1992_colorings_orientations_graphs/corollary_2_3 https://erdosproblems.ai/wiki/library/graph_coloring/alon_1992_colorings_orientations_graphs/corollary_3_4 https://erdosproblems.ai/wiki/library/graph_coloring/alon_1992_colorings_orientations_graphs/lemma_2_1 https://erdosproblems.ai/wiki/library/graph_coloring/alon_1992_colorings_orientations_graphs/theorem_1_1 https://erdosproblems.ai/wiki/library/graph_coloring/alon_1992_colorings_orientations_graphs/theorem_3_2 https://erdosproblems.ai/wiki/library/graph_coloring/alon_1997_subgraphs_large_cochromatic_number https://erdosproblems.ai/wiki/library/graph_coloring/alon_1997_subgraphs_large_cochromatic_number/lemma_2_2 https://erdosproblems.ai/wiki/library/graph_coloring/alon_1997_subgraphs_large_cochromatic_number/theorem_1_1 https://erdosproblems.ai/wiki/library/graph_coloring/alon_1999_list_coloring_random_pseudo_random_graphs https://erdosproblems.ai/wiki/library/graph_coloring/alon_1999_list_coloring_random_pseudo_random_graphs/proposition_4_1 https://erdosproblems.ai/wiki/library/graph_coloring/alon_1999_list_coloring_random_pseudo_random_graphs/proposition_5_1 https://erdosproblems.ai/wiki/library/graph_coloring/alon_1999_list_coloring_random_pseudo_random_graphs/theorem_1_1 https://erdosproblems.ai/wiki/library/graph_coloring/alon_1999_list_coloring_random_pseudo_random_graphs/theorem_1_2 https://erdosproblems.ai/wiki/library/graph_coloring/alon_1999_list_coloring_random_pseudo_random_graphs/theorem_4_8 https://erdosproblems.ai/wiki/library/graph_coloring/araujo_2025_note_maximum_ratio_between_chromatic_number https://erdosproblems.ai/wiki/library/graph_coloring/araujopardo_2016_note_erdos_faber_lovasz https://erdosproblems.ai/wiki/library/graph_coloring/araujopardo_2016_note_erdos_faber_lovasz/corollary_1_1 https://erdosproblems.ai/wiki/library/graph_coloring/araujopardo_2016_note_erdos_faber_lovasz/theorem_1_2 https://erdosproblems.ai/wiki/library/graph_coloring/araujopardo_2016_note_erdos_faber_lovasz/theorem_1_3 https://erdosproblems.ai/wiki/library/graph_coloring/berdnikov_2014_chromatic_number_euclidean_space_two_forbidden https://erdosproblems.ai/wiki/library/graph_coloring/berdnikov_2014_chromatic_number_euclidean_space_two_forbidden/definition_p791 https://erdosproblems.ai/wiki/library/graph_coloring/berdnikov_2014_chromatic_number_euclidean_space_two_forbidden/lemma_p791 https://erdosproblems.ai/wiki/library/graph_coloring/berdnikov_2014_chromatic_number_euclidean_space_two_forbidden/table_p793 https://erdosproblems.ai/wiki/library/graph_coloring/berdnikov_2014_chromatic_number_euclidean_space_two_forbidden/theorem_p791 https://erdosproblems.ai/wiki/library/graph_coloring/berdnikov_2016_estimate_chromatic_number_euclidean_space_several https://erdosproblems.ai/wiki/library/graph_coloring/berdnikov_2016_estimate_chromatic_number_euclidean_space_several/theorem_1 https://erdosproblems.ai/wiki/library/graph_coloring/berdnikov_2016_estimate_chromatic_number_euclidean_space_several/theorem_2 https://erdosproblems.ai/wiki/library/graph_coloring/berdnikov_2018_chromatic_numbers_distance_graphs_several_forbidden https://erdosproblems.ai/wiki/library/graph_coloring/berdnikov_2018_chromatic_numbers_distance_graphs_several_forbidden/corollary_p80 https://erdosproblems.ai/wiki/library/graph_coloring/berdnikov_2018_chromatic_numbers_distance_graphs_several_forbidden/theorem_1 https://erdosproblems.ai/wiki/library/graph_coloring/berdnikov_2018_chromatic_numbers_distance_graphs_several_forbidden/theorem_2 https://erdosproblems.ai/wiki/library/graph_coloring/bondy_1998_cycles_graph_lengths_differ_one_two https://erdosproblems.ai/wiki/library/graph_coloring/bondy_1998_cycles_graph_lengths_differ_one_two/theorem_1 https://erdosproblems.ai/wiki/library/graph_coloring/bondy_1998_cycles_graph_lengths_differ_one_two/theorem_2 https://erdosproblems.ai/wiki/library/graph_coloring/bruijn_1951_colour_problem_infinite_graphs_problem_theory https://erdosproblems.ai/wiki/library/graph_coloring/bruijn_1951_colour_problem_infinite_graphs_problem_theory/theorem_1 https://erdosproblems.ai/wiki/library/graph_coloring/bruijn_1951_colour_problem_infinite_graphs_problem_theory/theorem_2 https://erdosproblems.ai/wiki/library/graph_coloring/bucic_2020_intersection_spectrum_3_chromatic_intersecting_hypergraphs https://erdosproblems.ai/wiki/library/graph_coloring/bucic_2020_intersection_spectrum_3_chromatic_intersecting_hypergraphs/theorem_2 https://erdosproblems.ai/wiki/library/graph_coloring/cherkashin_2020_regular_behavior_maximal_hypergraph_chromatic_number https://erdosproblems.ai/wiki/library/graph_coloring/cherkashin_2020_regular_behavior_maximal_hypergraph_chromatic_number/theorem_1 https://erdosproblems.ai/wiki/library/graph_coloring/cherkashin_2020_regular_behavior_maximal_hypergraph_chromatic_number/theorem_2 https://erdosproblems.ai/wiki/library/graph_coloring/cherkashin_2020_regular_behavior_maximal_hypergraph_chromatic_number/theorem_3 https://erdosproblems.ai/wiki/library/graph_coloring/chojecki_2026_note_n_1_epsilon_version_erdos https://erdosproblems.ai/wiki/library/graph_coloring/chojecki_2026_note_n_1_epsilon_version_erdos/lemma_1 https://erdosproblems.ai/wiki/library/graph_coloring/chojecki_2026_note_n_1_epsilon_version_erdos/theorem_1 https://erdosproblems.ai/wiki/library/graph_coloring/chybowskasokol_2023_coloring_distance_graphs_plane https://erdosproblems.ai/wiki/library/graph_coloring/davies_2022_ramsey_problem_triangle_free_graphs https://erdosproblems.ai/wiki/library/graph_coloring/davies_2022_ramsey_problem_triangle_free_graphs/corollary_3 https://erdosproblems.ai/wiki/library/graph_coloring/davies_2022_ramsey_problem_triangle_free_graphs/theorem_1 https://erdosproblems.ai/wiki/library/graph_coloring/davies_2022_ramsey_problem_triangle_free_graphs/theorem_2 https://erdosproblems.ai/wiki/library/graph_coloring/dvorak_2019_4_choosable_graph_not_8_2_choosable https://erdosproblems.ai/wiki/library/graph_coloring/dvorak_2019_4_choosable_graph_not_8_2_choosable/theorem_2 https://erdosproblems.ai/wiki/library/graph_coloring/erdos_1959_graph_theory_probability https://erdosproblems.ai/wiki/library/graph_coloring/erdos_1959_graph_theory_probability/inequality_3 https://erdosproblems.ai/wiki/library/graph_coloring/erdos_1959_graph_theory_probability/inequality_4 https://erdosproblems.ai/wiki/library/graph_coloring/erdos_1959_graph_theory_probability/inequality_5 https://erdosproblems.ai/wiki/library/graph_coloring/erdos_1959_graph_theory_probability/inequality_6 https://erdosproblems.ai/wiki/library/graph_coloring/erdos_1961_graph_theory_probability https://erdosproblems.ai/wiki/library/graph_coloring/erdos_1967_kromatikus_grafokrol_chromatic_graphs https://erdosproblems.ai/wiki/library/graph_coloring/erdos_1967_kromatikus_grafokrol_chromatic_graphs/question_p3 https://erdosproblems.ai/wiki/library/graph_coloring/erdos_1967_kromatikus_grafokrol_chromatic_graphs/theorem_p2 https://erdosproblems.ai/wiki/library/graph_coloring/erdos_1967_kromatikus_grafokrol_chromatic_graphs/theorem_p3 https://erdosproblems.ai/wiki/library/graph_coloring/erdos_1967_remarks_chromatic_graphs https://erdosproblems.ai/wiki/library/graph_coloring/erdos_1968_chromatic_number_infinite_graphs https://erdosproblems.ai/wiki/library/graph_coloring/erdos_1968_chromatic_number_infinite_graphs/corollary_1 https://erdosproblems.ai/wiki/library/graph_coloring/erdos_1968_chromatic_number_infinite_graphs/problem_1 https://erdosproblems.ai/wiki/library/graph_coloring/erdos_1968_chromatic_number_infinite_graphs/problem_2 https://erdosproblems.ai/wiki/library/graph_coloring/erdos_1968_chromatic_number_infinite_graphs/theorem_1 https://erdosproblems.ai/wiki/library/graph_coloring/erdos_1968_chromatic_number_infinite_graphs/theorem_2 https://erdosproblems.ai/wiki/library/graph_coloring/erdos_1968_chromatic_number_infinite_graphs/theorem_3 https://erdosproblems.ai/wiki/library/graph_coloring/erdos_1968_chromatic_number_infinite_graphs/theorem_4 https://erdosproblems.ai/wiki/library/graph_coloring/erdos_1968_chromatic_number_infinite_graphs/theorem_5 https://erdosproblems.ai/wiki/library/graph_coloring/erdos_1968_chromatic_number_infinite_graphs/theorem_7 https://erdosproblems.ai/wiki/library/graph_coloring/erdos_1968_problem_2 https://erdosproblems.ai/wiki/library/graph_coloring/erdos_1968_problem_2/conjecture_p361 https://erdosproblems.ai/wiki/library/graph_coloring/erdos_1968_problem_2/problem_2 https://erdosproblems.ai/wiki/library/graph_coloring/erdos_1969_problems_results_chromatic_graph_theory https://erdosproblems.ai/wiki/library/graph_coloring/erdos_1974_general_properties_chromatic_numbers https://erdosproblems.ai/wiki/library/graph_coloring/erdos_1974_general_properties_chromatic_numbers/problem_2 https://erdosproblems.ai/wiki/library/graph_coloring/erdos_1974_general_properties_chromatic_numbers/theorem_1 https://erdosproblems.ai/wiki/library/graph_coloring/erdos_1974_general_properties_chromatic_numbers/theorem_2 https://erdosproblems.ai/wiki/library/graph_coloring/erdos_1974_general_properties_chromatic_numbers/theorem_3 https://erdosproblems.ai/wiki/library/graph_coloring/erdos_1975_problems_results_3_chromatic_hypergraphs_related https://erdosproblems.ai/wiki/library/graph_coloring/erdos_1979_problems_results_graph_theory_combinatorial_analysis https://erdosproblems.ai/wiki/library/graph_coloring/erdos_1979_problems_results_graph_theory_combinatorial_analysis/conjecture_p153 https://erdosproblems.ai/wiki/library/graph_coloring/erdos_1979_problems_results_graph_theory_combinatorial_analysis/conjecture_p154 https://erdosproblems.ai/wiki/library/graph_coloring/erdos_1979_problems_results_graph_theory_combinatorial_analysis/conjecture_p158 https://erdosproblems.ai/wiki/library/graph_coloring/erdos_1979_problems_results_graph_theory_combinatorial_analysis/conjecture_p161 https://erdosproblems.ai/wiki/library/graph_coloring/erdos_1979_problems_results_graph_theory_combinatorial_analysis/inequality_8_1 https://erdosproblems.ai/wiki/library/graph_coloring/erdos_1979_problems_results_graph_theory_combinatorial_analysis/lemma_1 https://erdosproblems.ai/wiki/library/graph_coloring/erdos_1979_problems_results_graph_theory_combinatorial_analysis/lemma_2 https://erdosproblems.ai/wiki/library/graph_coloring/erdos_1979_problems_results_graph_theory_combinatorial_analysis/question_p154 https://erdosproblems.ai/wiki/library/graph_coloring/erdos_1979_problems_results_graph_theory_combinatorial_analysis/question_p155 https://erdosproblems.ai/wiki/library/graph_coloring/erdos_1979_problems_results_graph_theory_combinatorial_analysis/question_p156 https://erdosproblems.ai/wiki/library/graph_coloring/erdos_1979_problems_results_graph_theory_combinatorial_analysis/question_p157 https://erdosproblems.ai/wiki/library/graph_coloring/erdos_1979_problems_results_graph_theory_combinatorial_analysis/question_p158 https://erdosproblems.ai/wiki/library/graph_coloring/erdos_1979_problems_results_graph_theory_combinatorial_analysis/question_p162 https://erdosproblems.ai/wiki/library/graph_coloring/erdos_1980_choosability_graphs https://erdosproblems.ai/wiki/library/graph_coloring/erdos_1980_choosability_graphs/conjecture_p153 https://erdosproblems.ai/wiki/library/graph_coloring/erdos_1980_choosability_graphs/problem_p152 https://erdosproblems.ai/wiki/library/graph_coloring/erdos_1980_choosability_graphs/question_p146 https://erdosproblems.ai/wiki/library/graph_coloring/erdos_1980_choosability_graphs/question_p153 https://erdosproblems.ai/wiki/library/graph_coloring/erdos_1980_choosability_graphs/question_p155 https://erdosproblems.ai/wiki/library/graph_coloring/erdos_1980_choosability_graphs/theorem_p129 https://erdosproblems.ai/wiki/library/graph_coloring/erdos_1980_choosability_graphs/theorem_p132 https://erdosproblems.ai/wiki/library/graph_coloring/erdos_1980_choosability_graphs/theorem_p142 https://erdosproblems.ai/wiki/library/graph_coloring/erdos_1980_choosability_graphs/theorem_p145_brooks https://erdosproblems.ai/wiki/library/graph_coloring/erdos_1980_choosability_graphs/theorem_p145_nordhaus_gaddum https://erdosproblems.ai/wiki/library/graph_coloring/erdos_1980_choosability_graphs/theorem_p146_complexity https://erdosproblems.ai/wiki/library/graph_coloring/erdos_1980_choosability_graphs/theorem_p150 https://erdosproblems.ai/wiki/library/graph_coloring/erdos_1980_choosability_graphs/theorem_p152 https://erdosproblems.ai/wiki/library/graph_coloring/erdos_1980_choosability_graphs/theorem_p156 https://erdosproblems.ai/wiki/library/graph_coloring/erdos_1980_choosability_graphs/theorem_r https://erdosproblems.ai/wiki/library/graph_coloring/erdos_1982_almost_bipartite_large_chromatic_graphs https://erdosproblems.ai/wiki/library/graph_coloring/erdos_1982_almost_bipartite_large_chromatic_graphs/corollary_1_4 https://erdosproblems.ai/wiki/library/graph_coloring/erdos_1982_almost_bipartite_large_chromatic_graphs/lemma_2_1 https://erdosproblems.ai/wiki/library/graph_coloring/erdos_1982_almost_bipartite_large_chromatic_graphs/problem_1 https://erdosproblems.ai/wiki/library/graph_coloring/erdos_1982_almost_bipartite_large_chromatic_graphs/problem_2 https://erdosproblems.ai/wiki/library/graph_coloring/erdos_1982_almost_bipartite_large_chromatic_graphs/problem_3 https://erdosproblems.ai/wiki/library/graph_coloring/erdos_1982_almost_bipartite_large_chromatic_graphs/remark_p121 https://erdosproblems.ai/wiki/library/graph_coloring/erdos_1982_almost_bipartite_large_chromatic_graphs/theorem_1 https://erdosproblems.ai/wiki/library/graph_coloring/erdos_1982_almost_bipartite_large_chromatic_graphs/theorem_2 https://erdosproblems.ai/wiki/library/graph_coloring/erdos_1982_almost_bipartite_large_chromatic_graphs/theorem_3 https://erdosproblems.ai/wiki/library/graph_coloring/erdos_1985_problems_results_chromatic_numbers_finite_infinite_graphs https://erdosproblems.ai/wiki/library/graph_coloring/erdos_1985_problems_results_chromatic_numbers_finite_infinite_graphs/problem_p206 https://erdosproblems.ai/wiki/library/graph_coloring/erdos_1988_some_aspects_my_work_gabriel_dirac https://erdosproblems.ai/wiki/library/graph_coloring/erdos_1988_some_aspects_my_work_gabriel_dirac/conjecture_p112 https://erdosproblems.ai/wiki/library/graph_coloring/erdos_1988_some_aspects_my_work_gabriel_dirac/conjecture_p113 https://erdosproblems.ai/wiki/library/graph_coloring/erdos_1988_some_aspects_my_work_gabriel_dirac/conjecture_p114 https://erdosproblems.ai/wiki/library/graph_coloring/erdos_1988_some_aspects_my_work_gabriel_dirac/inequality_1 https://erdosproblems.ai/wiki/library/graph_coloring/erdos_1988_some_aspects_my_work_gabriel_dirac/inequality_4 https://erdosproblems.ai/wiki/library/graph_coloring/erdos_1988_some_aspects_my_work_gabriel_dirac/theorem_p113_edwards https://erdosproblems.ai/wiki/library/graph_coloring/erdos_1995_problems_combinatorial_set_theory https://erdosproblems.ai/wiki/library/graph_coloring/erdos_1995_problems_combinatorial_set_theory/section_1 https://erdosproblems.ai/wiki/library/graph_coloring/erdos_1995_problems_combinatorial_set_theory/section_2 https://erdosproblems.ai/wiki/library/graph_coloring/erdos_1995_problems_combinatorial_set_theory/section_3 https://erdosproblems.ai/wiki/library/graph_coloring/erdos_1995_problems_combinatorial_set_theory/section_4 https://erdosproblems.ai/wiki/library/graph_coloring/erdos_1995_problems_combinatorial_set_theory/section_5 https://erdosproblems.ai/wiki/library/graph_coloring/erdos_1995_problems_combinatorial_set_theory/section_6 https://erdosproblems.ai/wiki/library/graph_coloring/erdos_1995_problems_combinatorial_set_theory/section_7 https://erdosproblems.ai/wiki/library/graph_coloring/erdos_1995_problems_combinatorial_set_theory/section_8 https://erdosproblems.ai/wiki/library/graph_coloring/erdos_1995_problems_combinatorial_set_theory/section_9 https://erdosproblems.ai/wiki/library/graph_coloring/exoo_2019_6_chromatic_two_distance_graph_plane https://erdosproblems.ai/wiki/library/graph_coloring/exoo_2019_6_chromatic_two_distance_graph_plane/claim_2_1 https://erdosproblems.ai/wiki/library/graph_coloring/exoo_2019_6_chromatic_two_distance_graph_plane/claim_2_2 https://erdosproblems.ai/wiki/library/graph_coloring/exoo_2019_6_chromatic_two_distance_graph_plane/theorem_1_4 https://erdosproblems.ai/wiki/library/graph_coloring/exoo_2019_bounds_smallest_k_chromatic_graphs_given https://erdosproblems.ai/wiki/library/graph_coloring/exoo_2019_bounds_smallest_k_chromatic_graphs_given/lemma_1 https://erdosproblems.ai/wiki/library/graph_coloring/exoo_2019_bounds_smallest_k_chromatic_graphs_given/lemma_2 https://erdosproblems.ai/wiki/library/graph_coloring/exoo_2019_bounds_smallest_k_chromatic_graphs_given/lemma_3 https://erdosproblems.ai/wiki/library/graph_coloring/exoo_2019_bounds_smallest_k_chromatic_graphs_given/theorem_4 https://erdosproblems.ai/wiki/library/graph_coloring/exoo_2019_bounds_smallest_k_chromatic_graphs_given/theorem_5 https://erdosproblems.ai/wiki/library/graph_coloring/exoo_2019_bounds_smallest_k_chromatic_graphs_given/theorem_6 https://erdosproblems.ai/wiki/library/graph_coloring/exoo_2019_bounds_smallest_k_chromatic_graphs_given/theorem_7 https://erdosproblems.ai/wiki/library/graph_coloring/fleischner_stiebitz_1992_solution_colouring_problem_erdos https://erdosproblems.ai/wiki/library/graph_coloring/fleischner_stiebitz_1992_solution_colouring_problem_erdos/theorem_1_1 https://erdosproblems.ai/wiki/library/graph_coloring/fleischner_stiebitz_1992_solution_colouring_problem_erdos/theorem_2_1 https://erdosproblems.ai/wiki/library/graph_coloring/gallai_1963_kritische_graphen_i https://erdosproblems.ai/wiki/library/graph_coloring/gallai_1963_kritische_graphen_i/item_2_4 https://erdosproblems.ai/wiki/library/graph_coloring/gallai_1963_kritische_graphen_i/satz_4_4 https://erdosproblems.ai/wiki/library/graph_coloring/gallai_1963_kritische_graphen_i/satz_5_2 https://erdosproblems.ai/wiki/library/graph_coloring/gallai_1963_kritische_graphen_i/satz_e_1 https://erdosproblems.ai/wiki/library/graph_coloring/gallai_1963_kritische_graphen_i/satz_e_2 https://erdosproblems.ai/wiki/library/graph_coloring/gao_2021_strengthening_odd_cycles_graphs_given_chromatic https://erdosproblems.ai/wiki/library/graph_coloring/gao_2021_strengthening_odd_cycles_graphs_given_chromatic/lemma_3_2 https://erdosproblems.ai/wiki/library/graph_coloring/gao_2021_strengthening_odd_cycles_graphs_given_chromatic/theorem_1_2 https://erdosproblems.ai/wiki/library/graph_coloring/gao_2021_strengthening_odd_cycles_graphs_given_chromatic/theorem_1_3 https://erdosproblems.ai/wiki/library/graph_coloring/gao_2021_strengthening_odd_cycles_graphs_given_chromatic/theorem_1_4 https://erdosproblems.ai/wiki/library/graph_coloring/gao_2021_strengthening_odd_cycles_graphs_given_chromatic/theorem_5_1 https://erdosproblems.ai/wiki/library/graph_coloring/gao_ma_2022_tight_bounds_towards_conjecture_gallai https://erdosproblems.ai/wiki/library/graph_coloring/gao_ma_2022_tight_bounds_towards_conjecture_gallai/lemma_5 https://erdosproblems.ai/wiki/library/graph_coloring/gao_ma_2022_tight_bounds_towards_conjecture_gallai/theorem_2 https://erdosproblems.ai/wiki/library/graph_coloring/gimbel_1986_three_extremal_problems_cochromatic_theory https://erdosproblems.ai/wiki/library/graph_coloring/gimbel_1986_three_extremal_problems_cochromatic_theory/corollary_p75_order https://erdosproblems.ai/wiki/library/graph_coloring/gimbel_1986_three_extremal_problems_cochromatic_theory/corollary_p75_size https://erdosproblems.ai/wiki/library/graph_coloring/gimbel_1986_three_extremal_problems_cochromatic_theory/theorem_p73_order https://erdosproblems.ai/wiki/library/graph_coloring/gimbel_1986_three_extremal_problems_cochromatic_theory/theorem_p76_genus https://erdosproblems.ai/wiki/library/graph_coloring/gimbel_1997_coloring_graphs_fixed_genus_girth https://erdosproblems.ai/wiki/library/graph_coloring/gimbel_1997_coloring_graphs_fixed_genus_girth/theorem_2_1 https://erdosproblems.ai/wiki/library/graph_coloring/gimbel_1997_coloring_graphs_fixed_genus_girth/theorem_3_1 https://erdosproblems.ai/wiki/library/graph_coloring/gimbel_1997_coloring_graphs_fixed_genus_girth/theorem_3_2 https://erdosproblems.ai/wiki/library/graph_coloring/gimbel_1997_coloring_graphs_fixed_genus_girth/theorem_3_3 https://erdosproblems.ai/wiki/library/graph_coloring/gimbel_1997_coloring_graphs_fixed_genus_girth/theorem_3_4 https://erdosproblems.ai/wiki/library/graph_coloring/gimbel_1997_coloring_graphs_fixed_genus_girth/theorem_4_1 https://erdosproblems.ai/wiki/library/graph_coloring/gimbel_1997_coloring_graphs_fixed_genus_girth/theorem_4_5 https://erdosproblems.ai/wiki/library/graph_coloring/gimbel_1997_coloring_graphs_fixed_genus_girth/theorem_5_3 https://erdosproblems.ai/wiki/library/graph_coloring/gimbel_1997_coloring_graphs_fixed_genus_girth/theorem_5_4 https://erdosproblems.ai/wiki/library/graph_coloring/gimbel_1997_coloring_graphs_fixed_genus_girth/theorem_7_1 https://erdosproblems.ai/wiki/library/graph_coloring/goncalves_2025_sphere_packings_euclidean_space_forbidden_distances https://erdosproblems.ai/wiki/library/graph_coloring/gorskaya_2009_estimating_chromatic_numbers_euclidean_space_convex https://erdosproblems.ai/wiki/library/graph_coloring/gorskaya_2009_estimating_chromatic_numbers_euclidean_space_convex/table_p797 https://erdosproblems.ai/wiki/library/graph_coloring/gorskaya_2009_estimating_chromatic_numbers_euclidean_space_convex/theorem_1 https://erdosproblems.ai/wiki/library/graph_coloring/gorskaya_2009_estimating_chromatic_numbers_euclidean_space_convex/theorem_2 https://erdosproblems.ai/wiki/library/graph_coloring/graver_yackel_1968_graph_theoretic_results_associated_ramsey_theorem https://erdosproblems.ai/wiki/library/graph_coloring/graver_yackel_1968_graph_theoretic_results_associated_ramsey_theorem/corollary_4 https://erdosproblems.ai/wiki/library/graph_coloring/graver_yackel_1968_graph_theoretic_results_associated_ramsey_theorem/corollary_p156 https://erdosproblems.ai/wiki/library/graph_coloring/graver_yackel_1968_graph_theoretic_results_associated_ramsey_theorem/proposition_9 https://erdosproblems.ai/wiki/library/graph_coloring/gu_2026_twelve_critical_graphs https://erdosproblems.ai/wiki/library/graph_coloring/gu_2026_twelve_critical_graphs/proposition_3 https://erdosproblems.ai/wiki/library/graph_coloring/gu_2026_twelve_critical_graphs/remark_p6 https://erdosproblems.ai/wiki/library/graph_coloring/gu_2026_twelve_critical_graphs/theorem_1 https://erdosproblems.ai/wiki/library/graph_coloring/gutner_1996_complexity_planar_graph_choosability https://erdosproblems.ai/wiki/library/graph_coloring/gutner_1996_complexity_planar_graph_choosability/theorem_1_10 https://erdosproblems.ai/wiki/library/graph_coloring/gutner_1996_complexity_planar_graph_choosability/theorem_1_11 https://erdosproblems.ai/wiki/library/graph_coloring/gutner_1996_complexity_planar_graph_choosability/theorem_1_12 https://erdosproblems.ai/wiki/library/graph_coloring/gutner_1996_complexity_planar_graph_choosability/theorem_1_7 https://erdosproblems.ai/wiki/library/graph_coloring/gutner_1996_complexity_planar_graph_choosability/theorem_1_8 https://erdosproblems.ai/wiki/library/graph_coloring/gutner_1996_complexity_planar_graph_choosability/theorem_1_9 https://erdosproblems.ai/wiki/library/graph_coloring/gyarfas_1992_graphs_k_odd_cycle_lengths https://erdosproblems.ai/wiki/library/graph_coloring/gyarfas_1992_graphs_k_odd_cycle_lengths/corollary https://erdosproblems.ai/wiki/library/graph_coloring/gyarfas_1992_graphs_k_odd_cycle_lengths/theorem_1 https://erdosproblems.ai/wiki/library/graph_coloring/hanson_1996_choosability_bipartite_graphs https://erdosproblems.ai/wiki/library/graph_coloring/heckel_2021_non_concentration_chromatic_number_random_graph https://erdosproblems.ai/wiki/library/graph_coloring/heckel_2021_non_concentration_chromatic_number_random_graph/conjecture_p12 https://erdosproblems.ai/wiki/library/graph_coloring/heckel_2021_non_concentration_chromatic_number_random_graph/corollary_p12 https://erdosproblems.ai/wiki/library/graph_coloring/heckel_2021_non_concentration_chromatic_number_random_graph/theorem_3 https://erdosproblems.ai/wiki/library/graph_coloring/heckel_2023_how_does_chromatic_number_random_graph https://erdosproblems.ai/wiki/library/graph_coloring/heckel_2023_how_does_chromatic_number_random_graph/conjecture_10 https://erdosproblems.ai/wiki/library/graph_coloring/heckel_2023_how_does_chromatic_number_random_graph/corollary_39 https://erdosproblems.ai/wiki/library/graph_coloring/heckel_2023_how_does_chromatic_number_random_graph/theorem_5 https://erdosproblems.ai/wiki/library/graph_coloring/heckel_2023_how_does_chromatic_number_random_graph/theorem_6 https://erdosproblems.ai/wiki/library/graph_coloring/heckel_2023_how_does_chromatic_number_random_graph/theorem_8 https://erdosproblems.ai/wiki/library/graph_coloring/heckel_2024_difference_between_chromatic_cochromatic_number_random https://erdosproblems.ai/wiki/library/graph_coloring/heckel_2024_difference_between_chromatic_cochromatic_number_random/conjecture_19 https://erdosproblems.ai/wiki/library/graph_coloring/heckel_2024_difference_between_chromatic_cochromatic_number_random/proposition_5 https://erdosproblems.ai/wiki/library/graph_coloring/heckel_2024_difference_between_chromatic_cochromatic_number_random/theorem_1 https://erdosproblems.ai/wiki/library/graph_coloring/heckel_2024_question_erdos_gimbel_cochromatic_number https://erdosproblems.ai/wiki/library/graph_coloring/heckel_2024_question_erdos_gimbel_cochromatic_number/conjecture_4 https://erdosproblems.ai/wiki/library/graph_coloring/heckel_2024_question_erdos_gimbel_cochromatic_number/proposition_3 https://erdosproblems.ai/wiki/library/graph_coloring/heckel_2024_question_erdos_gimbel_cochromatic_number/theorem_1 https://erdosproblems.ai/wiki/library/graph_coloring/heckel_2024_question_erdos_gimbel_cochromatic_number/theorem_2 https://erdosproblems.ai/wiki/library/graph_coloring/hindman_1981_conjecture_erdos_faber_lovasz_n_colorings https://erdosproblems.ai/wiki/library/graph_coloring/hindman_1981_conjecture_erdos_faber_lovasz_n_colorings/corollary_2_6 https://erdosproblems.ai/wiki/library/graph_coloring/hindman_1981_conjecture_erdos_faber_lovasz_n_colorings/corollary_3_3 https://erdosproblems.ai/wiki/library/graph_coloring/hindman_1981_conjecture_erdos_faber_lovasz_n_colorings/theorem_2_5 https://erdosproblems.ai/wiki/library/graph_coloring/hindman_1981_conjecture_erdos_faber_lovasz_n_colorings/theorem_3_2 https://erdosproblems.ai/wiki/library/graph_coloring/janzer_2025_chromatic_number_regular_subgraphs https://erdosproblems.ai/wiki/library/graph_coloring/jensen_2002_dense_critical_vertex_critical_graphs https://erdosproblems.ai/wiki/library/graph_coloring/jensen_2002_dense_critical_vertex_critical_graphs/theorem_1 https://erdosproblems.ai/wiki/library/graph_coloring/jensen_2002_dense_critical_vertex_critical_graphs/theorem_3 https://erdosproblems.ai/wiki/library/graph_coloring/jensen_2002_dense_critical_vertex_critical_graphs/theorem_4 https://erdosproblems.ai/wiki/library/graph_coloring/jensen_2002_dense_critical_vertex_critical_graphs/theorem_5 https://erdosproblems.ai/wiki/library/graph_coloring/jensen_toft_2001_25_pretty_graph_colouring_problems https://erdosproblems.ai/wiki/library/graph_coloring/jensen_toft_2001_25_pretty_graph_colouring_problems/problem_12 https://erdosproblems.ai/wiki/library/graph_coloring/jensen_toft_2001_25_pretty_graph_colouring_problems/problem_25 https://erdosproblems.ai/wiki/library/graph_coloring/jensen_toft_2001_25_pretty_graph_colouring_problems/problem_3 https://erdosproblems.ai/wiki/library/graph_coloring/jensen_toft_2001_25_pretty_graph_colouring_problems/problem_4 https://erdosproblems.ai/wiki/library/graph_coloring/jensen_toft_2001_25_pretty_graph_colouring_problems/problem_5 https://erdosproblems.ai/wiki/library/graph_coloring/kang_2021_proof_erdos_faber_lovasz_conjecture https://erdosproblems.ai/wiki/library/graph_coloring/kang_2021_proof_erdos_faber_lovasz_conjecture/theorem_1_1 https://erdosproblems.ai/wiki/library/graph_coloring/kang_2021_proof_erdos_faber_lovasz_conjecture/theorem_1_2 https://erdosproblems.ai/wiki/library/graph_coloring/kang_2021_proof_erdos_faber_lovasz_conjecture/theorem_1_3 https://erdosproblems.ai/wiki/library/graph_coloring/kang_2024_solution_problem_erdos_chromatic_index_hypergraphs https://erdosproblems.ai/wiki/library/graph_coloring/kang_2024_solution_problem_erdos_chromatic_index_hypergraphs/corollary_1_4 https://erdosproblems.ai/wiki/library/graph_coloring/kang_2024_solution_problem_erdos_chromatic_index_hypergraphs/theorem_1_2 https://erdosproblems.ai/wiki/library/graph_coloring/kang_2024_solution_problem_erdos_chromatic_index_hypergraphs/theorem_1_3 https://erdosproblems.ai/wiki/library/graph_coloring/kang_2024_solution_problem_erdos_chromatic_index_hypergraphs/theorem_1_5 https://erdosproblems.ai/wiki/library/graph_coloring/kang_2024_solution_problem_erdos_chromatic_index_hypergraphs/theorem_1_6 https://erdosproblems.ai/wiki/library/graph_coloring/lambiehanson_2020_growth_rate_chromatic_numbers_finite_subgraphs https://erdosproblems.ai/wiki/library/graph_coloring/lambiehanson_2020_growth_rate_chromatic_numbers_finite_subgraphs/question_1_2 https://erdosproblems.ai/wiki/library/graph_coloring/lambiehanson_2020_growth_rate_chromatic_numbers_finite_subgraphs/theorem_1_1 https://erdosproblems.ai/wiki/library/graph_coloring/lambiehanson_2020_growth_rate_chromatic_numbers_finite_subgraphs/theorem_a https://erdosproblems.ai/wiki/library/graph_coloring/lambiehanson_2020_growth_rate_chromatic_numbers_finite_subgraphs/theorem_b https://erdosproblems.ai/wiki/library/graph_coloring/li_2026_erdoshajnal_high_girth_subgraph_conjecture_holds https://erdosproblems.ai/wiki/library/graph_coloring/li_2026_erdoshajnal_high_girth_subgraph_conjecture_holds/corollary_10_41 https://erdosproblems.ai/wiki/library/graph_coloring/li_2026_erdoshajnal_high_girth_subgraph_conjecture_holds/corollary_1_2 https://erdosproblems.ai/wiki/library/graph_coloring/li_2026_erdoshajnal_high_girth_subgraph_conjecture_holds/proposition_10_47 https://erdosproblems.ai/wiki/library/graph_coloring/li_2026_erdoshajnal_high_girth_subgraph_conjecture_holds/theorem_10_40 https://erdosproblems.ai/wiki/library/graph_coloring/li_2026_erdoshajnal_high_girth_subgraph_conjecture_holds/theorem_1_1 https://erdosproblems.ai/wiki/library/graph_coloring/li_2026_erdoshajnal_high_girth_subgraph_conjecture_holds/theorem_1_3 https://erdosproblems.ai/wiki/library/graph_coloring/li_2026_erdoshajnal_high_girth_subgraph_conjecture_holds/theorem_1_5 https://erdosproblems.ai/wiki/library/graph_coloring/li_2026_erdoshajnal_high_girth_subgraph_conjecture_holds/theorem_1_6 https://erdosproblems.ai/wiki/library/graph_coloring/li_2026_erdoshajnal_high_girth_subgraph_conjecture_holds/theorem_1_7 https://erdosproblems.ai/wiki/library/graph_coloring/li_2026_erdoshajnal_high_girth_subgraph_conjecture_holds/theorem_1_8 https://erdosproblems.ai/wiki/library/graph_coloring/li_2026_erdoshajnal_high_girth_subgraph_conjecture_holds/theorem_7_1 https://erdosproblems.ai/wiki/library/graph_coloring/liu_2020_solution_erdos_hajnal_s_odd_cycle https://erdosproblems.ai/wiki/library/graph_coloring/liu_2020_solution_erdos_hajnal_s_odd_cycle/claim_3_3 https://erdosproblems.ai/wiki/library/graph_coloring/liu_2020_solution_erdos_hajnal_s_odd_cycle/claim_3_8 https://erdosproblems.ai/wiki/library/graph_coloring/liu_2020_solution_erdos_hajnal_s_odd_cycle/claim_4_4 https://erdosproblems.ai/wiki/library/graph_coloring/liu_2020_solution_erdos_hajnal_s_odd_cycle/claim_4_5 https://erdosproblems.ai/wiki/library/graph_coloring/liu_2020_solution_erdos_hajnal_s_odd_cycle/claim_4_6 https://erdosproblems.ai/wiki/library/graph_coloring/liu_2020_solution_erdos_hajnal_s_odd_cycle/corollary_1_3 https://erdosproblems.ai/wiki/library/graph_coloring/liu_2020_solution_erdos_hajnal_s_odd_cycle/corollary_2_5 https://erdosproblems.ai/wiki/library/graph_coloring/liu_2020_solution_erdos_hajnal_s_odd_cycle/corollary_3_15 https://erdosproblems.ai/wiki/library/graph_coloring/liu_2020_solution_erdos_hajnal_s_odd_cycle/corollary_5_1 https://erdosproblems.ai/wiki/library/graph_coloring/liu_2020_solution_erdos_hajnal_s_odd_cycle/definition_2_1 https://erdosproblems.ai/wiki/library/graph_coloring/liu_2020_solution_erdos_hajnal_s_odd_cycle/definition_3_1 https://erdosproblems.ai/wiki/library/graph_coloring/liu_2020_solution_erdos_hajnal_s_odd_cycle/definition_3_9 https://erdosproblems.ai/wiki/library/graph_coloring/liu_2020_solution_erdos_hajnal_s_odd_cycle/definition_4_1 https://erdosproblems.ai/wiki/library/graph_coloring/liu_2020_solution_erdos_hajnal_s_odd_cycle/lemma_3_11 https://erdosproblems.ai/wiki/library/graph_coloring/liu_2020_solution_erdos_hajnal_s_odd_cycle/lemma_3_12 https://erdosproblems.ai/wiki/library/graph_coloring/liu_2020_solution_erdos_hajnal_s_odd_cycle/lemma_3_13 https://erdosproblems.ai/wiki/library/graph_coloring/liu_2020_solution_erdos_hajnal_s_odd_cycle/lemma_3_14 https://erdosproblems.ai/wiki/library/graph_coloring/liu_2020_solution_erdos_hajnal_s_odd_cycle/lemma_3_2 https://erdosproblems.ai/wiki/library/graph_coloring/liu_2020_solution_erdos_hajnal_s_odd_cycle/lemma_3_4 https://erdosproblems.ai/wiki/library/graph_coloring/liu_2020_solution_erdos_hajnal_s_odd_cycle/lemma_3_5 https://erdosproblems.ai/wiki/library/graph_coloring/liu_2020_solution_erdos_hajnal_s_odd_cycle/lemma_3_7 https://erdosproblems.ai/wiki/library/graph_coloring/liu_2020_solution_erdos_hajnal_s_odd_cycle/lemma_4_2 https://erdosproblems.ai/wiki/library/graph_coloring/liu_2020_solution_erdos_hajnal_s_odd_cycle/lemma_4_3 https://erdosproblems.ai/wiki/library/graph_coloring/liu_2020_solution_erdos_hajnal_s_odd_cycle/lemma_4_7 https://erdosproblems.ai/wiki/library/graph_coloring/liu_2020_solution_erdos_hajnal_s_odd_cycle/lemma_4_8 https://erdosproblems.ai/wiki/library/graph_coloring/liu_2020_solution_erdos_hajnal_s_odd_cycle/odd_cycle_harmonic_sum https://erdosproblems.ai/wiki/library/graph_coloring/liu_2020_solution_erdos_hajnal_s_odd_cycle/powers_of_two_in_infinite_chromatic_graphs https://erdosproblems.ai/wiki/library/graph_coloring/liu_2020_solution_erdos_hajnal_s_odd_cycle/proposition_3_10 https://erdosproblems.ai/wiki/library/graph_coloring/liu_2020_solution_erdos_hajnal_s_odd_cycle/proposition_3_16 https://erdosproblems.ai/wiki/library/graph_coloring/liu_2020_solution_erdos_hajnal_s_odd_cycle/proposition_3_6 https://erdosproblems.ai/wiki/library/graph_coloring/liu_2020_solution_erdos_hajnal_s_odd_cycle/proposition_5_2 https://erdosproblems.ai/wiki/library/graph_coloring/liu_2020_solution_erdos_hajnal_s_odd_cycle/theorem_1_1 https://erdosproblems.ai/wiki/library/graph_coloring/liu_2020_solution_erdos_hajnal_s_odd_cycle/theorem_1_4 https://erdosproblems.ai/wiki/library/graph_coloring/liu_2020_solution_erdos_hajnal_s_odd_cycle/theorem_2_7 https://erdosproblems.ai/wiki/library/graph_coloring/liu_2026_remarks_theorem_erdos_szemeredi https://erdosproblems.ai/wiki/library/graph_coloring/liu_2026_remarks_theorem_erdos_szemeredi/theorem_1 https://erdosproblems.ai/wiki/library/graph_coloring/luo_2023_maximum_number_edges_critical_graphs https://erdosproblems.ai/wiki/library/graph_coloring/luo_2023_maximum_number_edges_critical_graphs/lemma_2_1 https://erdosproblems.ai/wiki/library/graph_coloring/luo_2023_maximum_number_edges_critical_graphs/remark_p2 https://erdosproblems.ai/wiki/library/graph_coloring/luo_2023_maximum_number_edges_critical_graphs/theorem_1_1 https://erdosproblems.ai/wiki/library/graph_coloring/luo_2023_maximum_number_edges_critical_graphs/theorem_1_2 https://erdosproblems.ai/wiki/library/graph_coloring/martinsson_2025_vertex_critical_graphs_far_edge_criticality https://erdosproblems.ai/wiki/library/graph_coloring/mohar_2015_dichromatic_number_fractional_chromatic_number https://erdosproblems.ai/wiki/library/graph_coloring/mohar_2015_dichromatic_number_fractional_chromatic_number/corollary_3_6 https://erdosproblems.ai/wiki/library/graph_coloring/mohar_2015_dichromatic_number_fractional_chromatic_number/theorem_1_3 https://erdosproblems.ai/wiki/library/graph_coloring/mohar_2015_dichromatic_number_fractional_chromatic_number/theorem_3_4 https://erdosproblems.ai/wiki/library/graph_coloring/mohar_2015_dichromatic_number_fractional_chromatic_number/theorem_3_5 https://erdosproblems.ai/wiki/library/graph_coloring/naslund_2023_chromatic_number_r_n_multiple_forbidden https://erdosproblems.ai/wiki/library/graph_coloring/naslund_2023_chromatic_number_r_n_multiple_forbidden/problem_4 https://erdosproblems.ai/wiki/library/graph_coloring/naslund_2023_chromatic_number_r_n_multiple_forbidden/theorem_1 https://erdosproblems.ai/wiki/library/graph_coloring/naslund_2023_chromatic_number_r_n_multiple_forbidden/theorem_2 https://erdosproblems.ai/wiki/library/graph_coloring/naslund_2023_chromatic_number_r_n_multiple_forbidden/theorem_3 https://erdosproblems.ai/wiki/library/graph_coloring/naslund_2023_chromatic_number_r_n_multiple_forbidden/theorem_4 https://erdosproblems.ai/wiki/library/graph_coloring/nastase_et_al_2010_note_robust_critical_graphs_large_odd_girth https://erdosproblems.ai/wiki/library/graph_coloring/nastase_et_al_2010_note_robust_critical_graphs_large_odd_girth/lemma_4 https://erdosproblems.ai/wiki/library/graph_coloring/nastase_et_al_2010_note_robust_critical_graphs_large_odd_girth/lemma_7 https://erdosproblems.ai/wiki/library/graph_coloring/nastase_et_al_2010_note_robust_critical_graphs_large_odd_girth/theorem_1 https://erdosproblems.ai/wiki/library/graph_coloring/parts_2020_small_6_chromatic_two_distance_graph https://erdosproblems.ai/wiki/library/graph_coloring/parts_2020_small_6_chromatic_two_distance_graph/theorem_p4 https://erdosproblems.ai/wiki/library/graph_coloring/parts_2023_more_certainty_coloring_plane_forbidden_distance https://erdosproblems.ai/wiki/library/graph_coloring/pegden_2011_critical_graphs_without_triangles_optimum_density_construction https://erdosproblems.ai/wiki/library/graph_coloring/pegden_2011_critical_graphs_without_triangles_optimum_density_construction/lemma_2_5 https://erdosproblems.ai/wiki/library/graph_coloring/pegden_2011_critical_graphs_without_triangles_optimum_density_construction/theorem_1_3 https://erdosproblems.ai/wiki/library/graph_coloring/pegden_2011_critical_graphs_without_triangles_optimum_density_construction/theorem_1_4 https://erdosproblems.ai/wiki/library/graph_coloring/petkov_2026_full_sequence_chromatic_cochromatic_gap https://erdosproblems.ai/wiki/library/graph_coloring/petkov_2026_full_sequence_chromatic_cochromatic_gap/bounded_differences https://erdosproblems.ai/wiki/library/graph_coloring/petkov_2026_full_sequence_chromatic_cochromatic_gap/evidence https://erdosproblems.ai/wiki/library/graph_coloring/petkov_2026_full_sequence_chromatic_cochromatic_gap/evidence/verify https://erdosproblems.ai/wiki/library/graph_coloring/petkov_2026_full_sequence_chromatic_cochromatic_gap/evidence/verify/independent_review https://erdosproblems.ai/wiki/library/graph_coloring/petkov_2026_full_sequence_chromatic_cochromatic_gap/evidence/verify/lemma92_grade https://erdosproblems.ai/wiki/library/graph_coloring/petkov_2026_full_sequence_chromatic_cochromatic_gap/evidence/verify/lemma92_review https://erdosproblems.ai/wiki/library/graph_coloring/petkov_2026_full_sequence_chromatic_cochromatic_gap/evidence/verify/lemma93_interface_grade https://erdosproblems.ai/wiki/library/graph_coloring/petkov_2026_full_sequence_chromatic_cochromatic_gap/evidence/verify/lemma93_interface_review https://erdosproblems.ai/wiki/library/graph_coloring/petkov_2026_full_sequence_chromatic_cochromatic_gap/evidence/verify/lemma93_interface_source_reading https://erdosproblems.ai/wiki/library/graph_coloring/petkov_2026_full_sequence_chromatic_cochromatic_gap/evidence/verify/review_grade https://erdosproblems.ai/wiki/library/graph_coloring/petkov_2026_full_sequence_chromatic_cochromatic_gap/evidence/verify/seed_interface_grade https://erdosproblems.ai/wiki/library/graph_coloring/petkov_2026_full_sequence_chromatic_cochromatic_gap/evidence/verify/seed_interface_review https://erdosproblems.ai/wiki/library/graph_coloring/petkov_2026_full_sequence_chromatic_cochromatic_gap/evidence/verify/seed_interface_source_reading https://erdosproblems.ai/wiki/library/graph_coloring/petkov_2026_full_sequence_chromatic_cochromatic_gap/evidence/verify/source_reading https://erdosproblems.ai/wiki/library/graph_coloring/petkov_2026_full_sequence_chromatic_cochromatic_gap/lemma_10_1 https://erdosproblems.ai/wiki/library/graph_coloring/petkov_2026_full_sequence_chromatic_cochromatic_gap/lemma_10_2 https://erdosproblems.ai/wiki/library/graph_coloring/petkov_2026_full_sequence_chromatic_cochromatic_gap/lemma_9_2 https://erdosproblems.ai/wiki/library/graph_coloring/petkov_2026_full_sequence_chromatic_cochromatic_gap/lemma_9_3 https://erdosproblems.ai/wiki/library/graph_coloring/petkov_2026_full_sequence_chromatic_cochromatic_gap/main_theorem https://erdosproblems.ai/wiki/library/graph_coloring/petkov_2026_full_sequence_chromatic_cochromatic_gap/proposition_9_7 https://erdosproblems.ai/wiki/library/graph_coloring/radhakrishnan_2000_improved_bounds_algorithms_hypergraph_coloring https://erdosproblems.ai/wiki/library/graph_coloring/radhakrishnan_2000_improved_bounds_algorithms_hypergraph_coloring/corollary_5_1 https://erdosproblems.ai/wiki/library/graph_coloring/radhakrishnan_2000_improved_bounds_algorithms_hypergraph_coloring/definition_5_1 https://erdosproblems.ai/wiki/library/graph_coloring/radhakrishnan_2000_improved_bounds_algorithms_hypergraph_coloring/theorem_2_1 https://erdosproblems.ai/wiki/library/graph_coloring/radhakrishnan_2000_improved_bounds_algorithms_hypergraph_coloring/theorem_3_1 https://erdosproblems.ai/wiki/library/graph_coloring/radhakrishnan_2000_improved_bounds_algorithms_hypergraph_coloring/theorem_4_2 https://erdosproblems.ai/wiki/library/graph_coloring/radhakrishnan_2000_improved_bounds_algorithms_hypergraph_coloring/theorem_5_1 https://erdosproblems.ai/wiki/library/graph_coloring/radhakrishnan_2000_improved_bounds_algorithms_hypergraph_coloring/theorem_5_2 https://erdosproblems.ai/wiki/library/graph_coloring/radhakrishnan_2000_improved_bounds_algorithms_hypergraph_coloring/theorem_5_3 https://erdosproblems.ai/wiki/library/graph_coloring/reiher_2024_graphs_large_girth https://erdosproblems.ai/wiki/library/graph_coloring/reiher_2024_graphs_large_girth/theorem_3_17 https://erdosproblems.ai/wiki/library/graph_coloring/sachs_1993_elementary_proof_cycle_plus_triangles_theorem https://erdosproblems.ai/wiki/library/graph_coloring/sachs_1993_elementary_proof_cycle_plus_triangles_theorem/main_theorem https://erdosproblems.ai/wiki/library/graph_coloring/scott_2008_concentration_chromatic_number_random_graphs https://erdosproblems.ai/wiki/library/graph_coloring/scott_2008_concentration_chromatic_number_random_graphs/lemma_2 https://erdosproblems.ai/wiki/library/graph_coloring/scott_2008_concentration_chromatic_number_random_graphs/theorem_1 https://erdosproblems.ai/wiki/library/graph_coloring/scott_2018_survey_chi_boundedness https://erdosproblems.ai/wiki/library/graph_coloring/scott_2018_survey_chi_boundedness/conjecture_3_1 https://erdosproblems.ai/wiki/library/graph_coloring/scott_2018_survey_chi_boundedness/item_3_3 https://erdosproblems.ai/wiki/library/graph_coloring/scott_2018_survey_chi_boundedness/item_3_4 https://erdosproblems.ai/wiki/library/graph_coloring/scott_2018_survey_chi_boundedness/item_3_5 https://erdosproblems.ai/wiki/library/graph_coloring/scott_2018_survey_chi_boundedness/item_3_6 https://erdosproblems.ai/wiki/library/graph_coloring/shelah_1990_incompactness_chromatic_numbers_graphs https://erdosproblems.ai/wiki/library/graph_coloring/shelah_1990_incompactness_chromatic_numbers_graphs/theorem_1 https://erdosproblems.ai/wiki/library/graph_coloring/shelah_1990_incompactness_chromatic_numbers_graphs/theorem_2_1 https://erdosproblems.ai/wiki/library/graph_coloring/shelah_1990_incompactness_chromatic_numbers_graphs/theorem_3_1 https://erdosproblems.ai/wiki/library/graph_coloring/shelah_1990_incompactness_chromatic_numbers_graphs/theorem_3_2 https://erdosproblems.ai/wiki/library/graph_coloring/shelah_1990_incompactness_chromatic_numbers_graphs/theorem_4_1 https://erdosproblems.ai/wiki/library/graph_coloring/shelah_1990_incompactness_chromatic_numbers_graphs/theorem_5_2 https://erdosproblems.ai/wiki/library/graph_coloring/shelah_2012_incompactness_chromatic_number_graphs https://erdosproblems.ai/wiki/library/graph_coloring/shelah_2012_incompactness_chromatic_number_graphs/claim_1_1 https://erdosproblems.ai/wiki/library/graph_coloring/shelah_2012_incompactness_chromatic_number_graphs/claim_1_2 https://erdosproblems.ai/wiki/library/graph_coloring/shelah_2012_incompactness_chromatic_number_graphs/claim_2_2 https://erdosproblems.ai/wiki/library/graph_coloring/shelah_2012_incompactness_chromatic_number_graphs/conclusion_2_4 https://erdosproblems.ai/wiki/library/graph_coloring/simonovits_1972_colour_critical_graphs https://erdosproblems.ai/wiki/library/graph_coloring/simonovits_1972_colour_critical_graphs/theorem_1 https://erdosproblems.ai/wiki/library/graph_coloring/simonovits_1972_colour_critical_graphs/theorem_2 https://erdosproblems.ai/wiki/library/graph_coloring/simonovits_1972_colour_critical_graphs/theorem_3 https://erdosproblems.ai/wiki/library/graph_coloring/simonovits_1972_colour_critical_graphs/theorem_4 https://erdosproblems.ai/wiki/library/graph_coloring/simonovits_1972_colour_critical_graphs/theorem_5 https://erdosproblems.ai/wiki/library/graph_coloring/simonovits_1972_colour_critical_graphs/theorem_6 https://erdosproblems.ai/wiki/library/graph_coloring/skottova_2025_critical_edge_sets_vertex_critical_graphs https://erdosproblems.ai/wiki/library/graph_coloring/steiner_2024_difference_between_chromatic_cochromatic_number https://erdosproblems.ai/wiki/library/group_theory https://erdosproblems.ai/wiki/library/group_theory/akman_sissokho_2025_steiner_coset_partitions_groups https://erdosproblems.ai/wiki/library/group_theory/akman_sissokho_2025_transversal_coset_partitions_groups https://erdosproblems.ai/wiki/library/group_theory/akman_sissokho_2025_transversal_coset_partitions_groups/corollary_10 https://erdosproblems.ai/wiki/library/group_theory/akman_sissokho_2025_transversal_coset_partitions_groups/theorem_2 https://erdosproblems.ai/wiki/library/group_theory/akman_sissokho_2025_transversal_coset_partitions_groups/theorem_3 https://erdosproblems.ai/wiki/library/group_theory/akman_sissokho_2025_transversal_coset_partitions_groups/theorem_4 https://erdosproblems.ai/wiki/library/group_theory/akman_sissokho_2025_transversal_coset_partitions_groups/theorem_5 https://erdosproblems.ai/wiki/library/group_theory/akman_sissokho_2025_transversal_coset_partitions_groups/theorem_6 https://erdosproblems.ai/wiki/library/group_theory/akman_sissokho_2025_transversal_coset_partitions_groups/theorem_7 https://erdosproblems.ai/wiki/library/group_theory/akman_sissokho_2026_steiner_coset_partitions_five_mutually_commuting_subgroups https://erdosproblems.ai/wiki/library/group_theory/akman_sissokho_2026_steiner_coset_partitions_five_mutually_commuting_subgroups/proposition_3 https://erdosproblems.ai/wiki/library/group_theory/akman_sissokho_2026_steiner_coset_partitions_five_mutually_commuting_subgroups/theorem_4 https://erdosproblems.ai/wiki/library/group_theory/akman_sissokho_2026_steiner_coset_partitions_groups_erratum https://erdosproblems.ai/wiki/library/group_theory/beker_2025_most_probable_order_random_permutation https://erdosproblems.ai/wiki/library/group_theory/beker_2025_most_probable_order_random_permutation/theorem_1_1 https://erdosproblems.ai/wiki/library/group_theory/beker_2025_most_probable_order_random_permutation/theorem_1_2 https://erdosproblems.ai/wiki/library/group_theory/berger_et_al_1986_herzog_schonheim_conjecture_finite_nilpotent_groups https://erdosproblems.ai/wiki/library/group_theory/berger_et_al_1986_herzog_schonheim_conjecture_finite_nilpotent_groups/corollary_iv https://erdosproblems.ai/wiki/library/group_theory/berger_et_al_1986_herzog_schonheim_conjecture_finite_nilpotent_groups/remark_p333 https://erdosproblems.ai/wiki/library/group_theory/berger_et_al_1986_herzog_schonheim_conjecture_finite_nilpotent_groups/theorem_1 https://erdosproblems.ai/wiki/library/group_theory/berger_et_al_1986_herzog_schonheim_conjecture_finite_nilpotent_groups/theorem_ii https://erdosproblems.ai/wiki/library/group_theory/berger_et_al_1986_herzog_schonheim_conjecture_finite_nilpotent_groups/theorem_iii https://erdosproblems.ai/wiki/library/group_theory/berger_et_al_1987_remark_multiplicity_partition_group_into_cosets https://erdosproblems.ai/wiki/library/group_theory/erdos_1965_probabilistic_methods_group_theory https://erdosproblems.ai/wiki/library/group_theory/erdos_1965_probabilistic_methods_group_theory/conjecture_p129 https://erdosproblems.ai/wiki/library/group_theory/erdos_1965_probabilistic_methods_group_theory/lemma_p130 https://erdosproblems.ai/wiki/library/group_theory/erdos_1965_probabilistic_methods_group_theory/remark_p137 https://erdosproblems.ai/wiki/library/group_theory/erdos_1965_probabilistic_methods_group_theory/theorem_1 https://erdosproblems.ai/wiki/library/group_theory/erdos_1965_probabilistic_methods_group_theory/theorem_2 https://erdosproblems.ai/wiki/library/group_theory/erdos_1976_probabilistic_methods_group_theory https://erdosproblems.ai/wiki/library/group_theory/erdos_1976_probabilistic_methods_group_theory/lemma_1 https://erdosproblems.ai/wiki/library/group_theory/erdos_1976_probabilistic_methods_group_theory/theorem_p174 https://erdosproblems.ai/wiki/library/group_theory/erdos_1978_new_results_probabilistic_group_theory https://erdosproblems.ai/wiki/library/group_theory/erdos_1978_new_results_probabilistic_group_theory/corollary_p448 https://erdosproblems.ai/wiki/library/group_theory/erdos_1978_new_results_probabilistic_group_theory/theorem_1 https://erdosproblems.ai/wiki/library/group_theory/erdos_1978_new_results_probabilistic_group_theory/theorem_2 https://erdosproblems.ai/wiki/library/group_theory/erdos_1978_new_results_probabilistic_group_theory/theorem_3 https://erdosproblems.ai/wiki/library/group_theory/gao_geroldinger_2006_zero_sum_problems_finite_abelian_groups https://erdosproblems.ai/wiki/library/group_theory/gao_geroldinger_2006_zero_sum_problems_finite_abelian_groups/theorem_10_3 https://erdosproblems.ai/wiki/library/group_theory/gao_geroldinger_2006_zero_sum_problems_finite_abelian_groups/theorem_10_5 https://erdosproblems.ai/wiki/library/group_theory/gao_geroldinger_2006_zero_sum_problems_finite_abelian_groups/theorem_3_1 https://erdosproblems.ai/wiki/library/group_theory/gao_geroldinger_2006_zero_sum_problems_finite_abelian_groups/theorem_4_2 https://erdosproblems.ai/wiki/library/group_theory/gao_geroldinger_2006_zero_sum_problems_finite_abelian_groups/theorem_4_3 https://erdosproblems.ai/wiki/library/group_theory/gao_geroldinger_2006_zero_sum_problems_finite_abelian_groups/theorem_6_3 https://erdosproblems.ai/wiki/library/group_theory/gao_geroldinger_2006_zero_sum_problems_finite_abelian_groups/theorem_8_7 https://erdosproblems.ai/wiki/library/group_theory/gao_geroldinger_2006_zero_sum_problems_finite_abelian_groups/theorem_9_1 https://erdosproblems.ai/wiki/library/group_theory/gao_geroldinger_2006_zero_sum_problems_finite_abelian_groups/theorem_9_5 https://erdosproblems.ai/wiki/library/group_theory/garonzi_margolis_2025_herzog_schonheim_conjecture_simple_symmetric_groups https://erdosproblems.ai/wiki/library/group_theory/garonzi_margolis_2025_herzog_schonheim_conjecture_simple_symmetric_groups/lemma_2_1 https://erdosproblems.ai/wiki/library/group_theory/garonzi_margolis_2025_herzog_schonheim_conjecture_simple_symmetric_groups/proposition_3_2 https://erdosproblems.ai/wiki/library/group_theory/garonzi_margolis_2025_herzog_schonheim_conjecture_simple_symmetric_groups/remark_5_1 https://erdosproblems.ai/wiki/library/group_theory/garonzi_margolis_2025_herzog_schonheim_conjecture_simple_symmetric_groups/theorem_1_2 https://erdosproblems.ai/wiki/library/group_theory/garonzi_margolis_2025_herzog_schonheim_conjecture_simple_symmetric_groups/theorem_1_3 https://erdosproblems.ai/wiki/library/group_theory/garonzi_margolis_2025_herzog_schonheim_conjecture_simple_symmetric_groups/theorem_1_4 https://erdosproblems.ai/wiki/library/group_theory/ginosar_schnabel_2011_prime_factorization_conditions_multiplicities_coset_partitions_groups https://erdosproblems.ai/wiki/library/group_theory/ginosar_schnabel_2011_prime_factorization_conditions_multiplicities_coset_partitions_groups/corollary_2_1 https://erdosproblems.ai/wiki/library/group_theory/ginosar_schnabel_2011_prime_factorization_conditions_multiplicities_coset_partitions_groups/lemma_2_2 https://erdosproblems.ai/wiki/library/group_theory/ginosar_schnabel_2011_prime_factorization_conditions_multiplicities_coset_partitions_groups/lemma_2_3 https://erdosproblems.ai/wiki/library/group_theory/ginosar_schnabel_2011_prime_factorization_conditions_multiplicities_coset_partitions_groups/lemma_2_4 https://erdosproblems.ai/wiki/library/group_theory/ginosar_schnabel_2011_prime_factorization_conditions_multiplicities_coset_partitions_groups/section_6 https://erdosproblems.ai/wiki/library/group_theory/ginosar_schnabel_2011_prime_factorization_conditions_multiplicities_coset_partitions_groups/theorem_a https://erdosproblems.ai/wiki/library/group_theory/ginosar_schnabel_2011_prime_factorization_conditions_multiplicities_coset_partitions_groups/theorem_b https://erdosproblems.ai/wiki/library/group_theory/ginosar_schnabel_2011_prime_factorization_conditions_multiplicities_coset_partitions_groups/theorem_c https://erdosproblems.ai/wiki/library/group_theory/ginosar_schnabel_2011_prime_factorization_conditions_multiplicities_coset_partitions_groups/theorem_d https://erdosproblems.ai/wiki/library/group_theory/girard_2008_inverse_zero_sum_algebraic_invariants https://erdosproblems.ai/wiki/library/group_theory/girard_2008_inverse_zero_sum_algebraic_invariants/proposition_2_3 https://erdosproblems.ai/wiki/library/group_theory/girard_2008_inverse_zero_sum_algebraic_invariants/theorem_2_4 https://erdosproblems.ai/wiki/library/group_theory/girard_2008_inverse_zero_sum_algebraic_invariants/theorem_2_5 https://erdosproblems.ai/wiki/library/group_theory/girard_2008_inverse_zero_sum_algebraic_invariants/theorem_7_2 https://erdosproblems.ai/wiki/library/group_theory/itabe_2026_herzog_schonheim_conjecture_coset_partitions_at_most_seventeen_cells https://erdosproblems.ai/wiki/library/group_theory/itabe_2026_herzog_schonheim_conjecture_coset_partitions_at_most_seventeen_cells/evidence https://erdosproblems.ai/wiki/library/group_theory/itabe_2026_herzog_schonheim_conjecture_coset_partitions_at_most_seventeen_cells/formalization https://erdosproblems.ai/wiki/library/group_theory/korec_znam_1977_disjoint_covering_groups_cosets https://erdosproblems.ai/wiki/library/group_theory/korec_znam_1977_disjoint_covering_groups_cosets/theorem_1 https://erdosproblems.ai/wiki/library/group_theory/korec_znam_1977_disjoint_covering_groups_cosets/theorem_2 https://erdosproblems.ai/wiki/library/group_theory/korec_znam_1977_disjoint_covering_groups_cosets/theorem_3 https://erdosproblems.ai/wiki/library/group_theory/korec_znam_1977_disjoint_covering_groups_cosets/theorem_4 https://erdosproblems.ai/wiki/library/group_theory/korec_znam_1977_disjoint_covering_groups_cosets/theorem_5 https://erdosproblems.ai/wiki/library/group_theory/korec_znam_1977_disjoint_covering_groups_cosets/theorem_6 https://erdosproblems.ai/wiki/library/group_theory/kriz_2013_maximal_cross_number_unique_factorization_sequences https://erdosproblems.ai/wiki/library/group_theory/kriz_2013_maximal_cross_number_unique_factorization_sequences/conjecture_2 https://erdosproblems.ai/wiki/library/group_theory/kriz_2013_maximal_cross_number_unique_factorization_sequences/corollary_42 https://erdosproblems.ai/wiki/library/group_theory/kriz_2013_maximal_cross_number_unique_factorization_sequences/corollary_7 https://erdosproblems.ai/wiki/library/group_theory/kriz_2013_maximal_cross_number_unique_factorization_sequences/corollary_9 https://erdosproblems.ai/wiki/library/group_theory/kriz_2013_maximal_cross_number_unique_factorization_sequences/proposition_39 https://erdosproblems.ai/wiki/library/group_theory/kriz_2013_maximal_cross_number_unique_factorization_sequences/theorem_6 https://erdosproblems.ai/wiki/library/group_theory/kriz_2013_maximal_cross_number_unique_factorization_sequences/theorem_8 https://erdosproblems.ai/wiki/library/group_theory/lam_leung_2000_vanishing_sums_roots_unity https://erdosproblems.ai/wiki/library/group_theory/lam_leung_2000_vanishing_sums_roots_unity/corollary_3_4 https://erdosproblems.ai/wiki/library/group_theory/lam_leung_2000_vanishing_sums_roots_unity/main_theorem https://erdosproblems.ai/wiki/library/group_theory/lam_leung_2000_vanishing_sums_roots_unity/theorem_3_3 https://erdosproblems.ai/wiki/library/group_theory/lam_leung_2000_vanishing_sums_roots_unity/theorem_4_8 https://erdosproblems.ai/wiki/library/group_theory/lam_leung_2000_vanishing_sums_roots_unity/theorem_6_5 https://erdosproblems.ai/wiki/library/group_theory/lam_leung_2000_vanishing_sums_roots_unity/theorem_7_1 https://erdosproblems.ai/wiki/library/group_theory/lettl_sun_2008_covers_abelian_groups_cosets https://erdosproblems.ai/wiki/library/group_theory/lettl_sun_2008_covers_abelian_groups_cosets/corollary_1_1 https://erdosproblems.ai/wiki/library/group_theory/lettl_sun_2008_covers_abelian_groups_cosets/theorem_1_3 https://erdosproblems.ai/wiki/library/group_theory/lettl_sun_2008_covers_abelian_groups_cosets/theorem_2_1 https://erdosproblems.ai/wiki/library/group_theory/menon_2026_two_questions_g_harmonic_tuples https://erdosproblems.ai/wiki/library/group_theory/nagy_pach_2026_group_ring_identity_alon_jaeger_tarsi https://erdosproblems.ai/wiki/library/group_theory/neumann_1976_problem_paul_erdos_groups https://erdosproblems.ai/wiki/library/group_theory/neumann_1976_problem_paul_erdos_groups/theorem_6 https://erdosproblems.ai/wiki/library/group_theory/pyber_1987_number_pairwise_non_commuting_elements_index https://erdosproblems.ai/wiki/library/group_theory/pyber_1987_number_pairwise_non_commuting_elements_index/corollary_p287 https://erdosproblems.ai/wiki/library/group_theory/pyber_1987_number_pairwise_non_commuting_elements_index/example_p288 https://erdosproblems.ai/wiki/library/group_theory/pyber_1987_number_pairwise_non_commuting_elements_index/lemma_3_1 https://erdosproblems.ai/wiki/library/group_theory/pyber_1987_number_pairwise_non_commuting_elements_index/theorem_6_1 https://erdosproblems.ai/wiki/library/group_theory/roneydougal_2025_subgroups_symmetric_groups_enumeration_asymptotic_properties https://erdosproblems.ai/wiki/library/group_theory/sun_1990_finite_coverings_groups https://erdosproblems.ai/wiki/library/group_theory/sun_1990_finite_coverings_groups/corollary_2 https://erdosproblems.ai/wiki/library/group_theory/sun_1990_finite_coverings_groups/theorem_6 https://erdosproblems.ai/wiki/library/group_theory/sun_1990_finite_coverings_groups/theorem_9_prime https://erdosproblems.ai/wiki/library/integer_sequences https://erdosproblems.ai/wiki/library/integer_sequences/abbott_1967_extremal_problem_number_theory https://erdosproblems.ai/wiki/library/integer_sequences/abbott_1967_extremal_problem_number_theory/inequality_11 https://erdosproblems.ai/wiki/library/integer_sequences/abbott_1967_extremal_problem_number_theory/theorem_1 https://erdosproblems.ai/wiki/library/integer_sequences/abbott_1967_extremal_problem_number_theory/theorem_2 https://erdosproblems.ai/wiki/library/integer_sequences/ailon_2004_torsion_points_curves_common_divisors https://erdosproblems.ai/wiki/library/integer_sequences/ailon_2004_torsion_points_curves_common_divisors/conjecture_a https://erdosproblems.ai/wiki/library/integer_sequences/ailon_2004_torsion_points_curves_common_divisors/conjecture_b https://erdosproblems.ai/wiki/library/integer_sequences/ailon_2004_torsion_points_curves_common_divisors/cyclotomic_units https://erdosproblems.ai/wiki/library/integer_sequences/ailon_2004_torsion_points_curves_common_divisors/lang_torsion_theorem https://erdosproblems.ai/wiki/library/integer_sequences/ailon_2004_torsion_points_curves_common_divisors/local_matrix_bounds https://erdosproblems.ai/wiki/library/integer_sequences/ailon_2004_torsion_points_curves_common_divisors/matrix_content https://erdosproblems.ai/wiki/library/integer_sequences/ailon_2004_torsion_points_curves_common_divisors/proposition_4 https://erdosproblems.ai/wiki/library/integer_sequences/ailon_2004_torsion_points_curves_common_divisors/theorem_1 https://erdosproblems.ai/wiki/library/integer_sequences/ailon_2004_torsion_points_curves_common_divisors/theorem_2 https://erdosproblems.ai/wiki/library/integer_sequences/ailon_2004_torsion_points_curves_common_divisors/theorem_3 https://erdosproblems.ai/wiki/library/integer_sequences/alexeev_2026_primitive_sets_von_mangoldt_chains_erdos https://erdosproblems.ai/wiki/library/integer_sequences/alexeev_2026_primitive_sets_von_mangoldt_chains_erdos/source_digest https://erdosproblems.ai/wiki/library/integer_sequences/alexeev_2026_primitive_sets_von_mangoldt_chains_erdos/theorem_1_1 https://erdosproblems.ai/wiki/library/integer_sequences/alexeev_2026_primitive_sets_von_mangoldt_chains_erdos/theorem_1_2 https://erdosproblems.ai/wiki/library/integer_sequences/alexeev_2026_primitive_sets_von_mangoldt_chains_erdos/theorem_1_3 https://erdosproblems.ai/wiki/library/integer_sequences/alexeev_2026_primitive_sets_von_mangoldt_chains_erdos/theorem_1_4 https://erdosproblems.ai/wiki/library/integer_sequences/alexeev_2026_primitive_sets_von_mangoldt_chains_erdos/theorem_1_5 https://erdosproblems.ai/wiki/library/integer_sequences/alexeev_2026_primitive_sets_von_mangoldt_chains_erdos/theorem_1_6 https://erdosproblems.ai/wiki/library/integer_sequences/alford_1994_infinitely_many_carmichael_numbers https://erdosproblems.ai/wiki/library/integer_sequences/alford_1994_infinitely_many_carmichael_numbers/theorem_1 https://erdosproblems.ai/wiki/library/integer_sequences/alford_1994_infinitely_many_carmichael_numbers/theorem_3 https://erdosproblems.ai/wiki/library/integer_sequences/alford_1994_infinitely_many_carmichael_numbers/theorem_4 https://erdosproblems.ai/wiki/library/integer_sequences/alford_1994_infinitely_many_carmichael_numbers/theorem_5 https://erdosproblems.ai/wiki/library/integer_sequences/alon_1988_sums_subsets_set_integers https://erdosproblems.ai/wiki/library/integer_sequences/alon_1988_sums_subsets_set_integers/proposition_1_1 https://erdosproblems.ai/wiki/library/integer_sequences/alon_1988_sums_subsets_set_integers/proposition_1_3 https://erdosproblems.ai/wiki/library/integer_sequences/alon_1988_sums_subsets_set_integers/theorem_1_2 https://erdosproblems.ai/wiki/library/integer_sequences/alon_1996_sure_monochromatic_subset_sums https://erdosproblems.ai/wiki/library/integer_sequences/anon_2026_primes_logarithmic_block_product https://erdosproblems.ai/wiki/library/integer_sequences/anon_2026_primes_logarithmic_block_product/remark_2_4 https://erdosproblems.ai/wiki/library/integer_sequences/anon_2026_primes_logarithmic_block_product/theorem_2_1 https://erdosproblems.ai/wiki/library/integer_sequences/anon_2026_resolution_erdos_problem_38_sparse_dyadic_shift https://erdosproblems.ai/wiki/library/integer_sequences/anon_2026_resolution_erdos_problem_38_sparse_dyadic_shift/lemma_1 https://erdosproblems.ai/wiki/library/integer_sequences/anon_2026_resolution_erdos_problem_38_sparse_dyadic_shift/theorem_1 https://erdosproblems.ai/wiki/library/integer_sequences/araujo_2026_sarnaks_program_erdos_sieves_part_ii_measure_systems_applications https://erdosproblems.ai/wiki/library/integer_sequences/baier_2004_6 https://erdosproblems.ai/wiki/library/integer_sequences/baier_2004_6/theorem https://erdosproblems.ai/wiki/library/integer_sequences/balandraud_2012_addition_theorem_maximal_zero_sum_free_sets https://erdosproblems.ai/wiki/library/integer_sequences/balandraud_2012_addition_theorem_maximal_zero_sum_free_sets/proposition_4 https://erdosproblems.ai/wiki/library/integer_sequences/balandraud_2012_addition_theorem_maximal_zero_sum_free_sets/theorem_5 https://erdosproblems.ai/wiki/library/integer_sequences/balandraud_2012_addition_theorem_maximal_zero_sum_free_sets/theorem_6 https://erdosproblems.ai/wiki/library/integer_sequences/balandraud_2012_addition_theorem_maximal_zero_sum_free_sets/theorem_7 https://erdosproblems.ai/wiki/library/integer_sequences/balandraud_2012_addition_theorem_maximal_zero_sum_free_sets/theorem_9 https://erdosproblems.ai/wiki/library/integer_sequences/balasubramanian_1996_conjecture_r https://erdosproblems.ai/wiki/library/integer_sequences/balister_2019_structure_number_erdos_covering_systems https://erdosproblems.ai/wiki/library/integer_sequences/balister_2019_structure_number_erdos_covering_systems/theorem_1_1 https://erdosproblems.ai/wiki/library/integer_sequences/balister_2019_structure_number_erdos_covering_systems/theorem_2_3 https://erdosproblems.ai/wiki/library/integer_sequences/balister_2019_structure_number_erdos_covering_systems/theorem_2_4 https://erdosproblems.ai/wiki/library/integer_sequences/balister_2022_erdos_covering_systems https://erdosproblems.ai/wiki/library/integer_sequences/bambah_1947_numbers_which_can_be_expressed_as https://erdosproblems.ai/wiki/library/integer_sequences/bambah_1947_numbers_which_can_be_expressed_as/theorem_p103 https://erdosproblems.ai/wiki/library/integer_sequences/banks_2014_consecutive_primes_tuples https://erdosproblems.ai/wiki/library/integer_sequences/banks_2014_consecutive_primes_tuples/corollary_1 https://erdosproblems.ai/wiki/library/integer_sequences/banks_2014_consecutive_primes_tuples/corollary_2 https://erdosproblems.ai/wiki/library/integer_sequences/banks_2014_consecutive_primes_tuples/corollary_3 https://erdosproblems.ai/wiki/library/integer_sequences/banks_2014_consecutive_primes_tuples/theorem_1 https://erdosproblems.ai/wiki/library/integer_sequences/bedert_2023_problem_erdos_sarkozy_about_sequences_no https://erdosproblems.ai/wiki/library/integer_sequences/bedert_2023_problem_erdos_sarkozy_about_sequences_no/theorem_1 https://erdosproblems.ai/wiki/library/integer_sequences/bedert_2023_problem_erdos_sarkozy_about_sequences_no/theorem_2 https://erdosproblems.ai/wiki/library/integer_sequences/beker_2023_problem_erdos_graham_about_consecutive_sums https://erdosproblems.ai/wiki/library/integer_sequences/beker_2023_problem_erdos_graham_about_consecutive_sums/proposition_1_5 https://erdosproblems.ai/wiki/library/integer_sequences/beker_2023_problem_erdos_graham_about_consecutive_sums/theorem_1_2 https://erdosproblems.ai/wiki/library/integer_sequences/beker_2023_problem_erdos_graham_about_consecutive_sums/theorem_1_3 https://erdosproblems.ai/wiki/library/integer_sequences/beker_2023_problem_erdos_graham_about_consecutive_sums/theorem_1_4 https://erdosproblems.ai/wiki/library/integer_sequences/beker_2023_problem_erdos_graham_about_consecutive_sums/theorem_2_1 https://erdosproblems.ai/wiki/library/integer_sequences/belgikar_2024_new_applications_ergodic_theory_sets_differences https://erdosproblems.ai/wiki/library/integer_sequences/bergelson_2017_density_coprime_tuples_form_where_are https://erdosproblems.ai/wiki/library/integer_sequences/bergelson_2017_density_coprime_tuples_form_where_are/theorem_1 https://erdosproblems.ai/wiki/library/integer_sequences/bergelson_2017_density_coprime_tuples_form_where_are/theorem_2 https://erdosproblems.ai/wiki/library/integer_sequences/besicovitch_1935_density_certain_sequences_integers https://erdosproblems.ai/wiki/library/integer_sequences/besicovitch_1935_density_certain_sequences_integers/construction_p340 https://erdosproblems.ai/wiki/library/integer_sequences/besicovitch_1935_density_certain_sequences_integers/theorem_1 https://erdosproblems.ai/wiki/library/integer_sequences/besicovitch_1935_density_certain_sequences_integers/theorem_2 https://erdosproblems.ai/wiki/library/integer_sequences/bruedern_2017_local_oscillations_moderately_dense_sequences_primes https://erdosproblems.ai/wiki/library/integer_sequences/bruedern_2017_local_oscillations_moderately_dense_sequences_primes/theorem_1 https://erdosproblems.ai/wiki/library/integer_sequences/bruedern_2017_local_oscillations_moderately_dense_sequences_primes/theorem_2 https://erdosproblems.ai/wiki/library/integer_sequences/bruedern_2017_local_oscillations_moderately_dense_sequences_primes/theorem_3 https://erdosproblems.ai/wiki/library/integer_sequences/bugeaud_corvaja_zannier_2003_gcd_upper_bound https://erdosproblems.ai/wiki/library/integer_sequences/bugeaud_corvaja_zannier_2003_gcd_upper_bound/lemma https://erdosproblems.ai/wiki/library/integer_sequences/bugeaud_corvaja_zannier_2003_gcd_upper_bound/remark_1 https://erdosproblems.ai/wiki/library/integer_sequences/bugeaud_corvaja_zannier_2003_gcd_upper_bound/remark_2 https://erdosproblems.ai/wiki/library/integer_sequences/bugeaud_corvaja_zannier_2003_gcd_upper_bound/remark_p4 https://erdosproblems.ai/wiki/library/integer_sequences/bugeaud_corvaja_zannier_2003_gcd_upper_bound/theorem https://erdosproblems.ai/wiki/library/integer_sequences/cambie_2024_resolution_erdos_problem_least_common_multiples https://erdosproblems.ai/wiki/library/integer_sequences/cambie_2024_resolution_erdos_problem_least_common_multiples/theorem_1 https://erdosproblems.ai/wiki/library/integer_sequences/cassels_1960_representation_integers_as_sums_distinct_summands https://erdosproblems.ai/wiki/library/integer_sequences/cassels_1960_representation_integers_as_sums_distinct_summands/theorem_i https://erdosproblems.ai/wiki/library/integer_sequences/cassels_1960_representation_integers_as_sums_distinct_summands/theorem_ii https://erdosproblems.ai/wiki/library/integer_sequences/chan_2023_moments_gaps_between_consecutive_square_free https://erdosproblems.ai/wiki/library/integer_sequences/chen_1998_sequences_bounded_l_c_m_each https://erdosproblems.ai/wiki/library/integer_sequences/chen_1998_sequences_bounded_l_c_m_each/theorem https://erdosproblems.ai/wiki/library/integer_sequences/chen_2007_sequences_bounded_l_c_m_each https://erdosproblems.ai/wiki/library/integer_sequences/chen_2007_sequences_bounded_l_c_m_each/corollary_1 https://erdosproblems.ai/wiki/library/integer_sequences/chen_2007_sequences_bounded_l_c_m_each/theorem_1 https://erdosproblems.ai/wiki/library/integer_sequences/choi_1972_largest_subset_pairwise_l_c_m_not_exceeding_n https://erdosproblems.ai/wiki/library/integer_sequences/choi_1972_largest_subset_pairwise_l_c_m_not_exceeding_n/theorem https://erdosproblems.ai/wiki/library/integer_sequences/chojecki_2026_distinct_consecutive_products https://erdosproblems.ai/wiki/library/integer_sequences/chojecki_2026_distinct_consecutive_products/lemma_2_1 https://erdosproblems.ai/wiki/library/integer_sequences/chojecki_2026_distinct_consecutive_products/lemma_2_2 https://erdosproblems.ai/wiki/library/integer_sequences/chojecki_2026_distinct_consecutive_products/lemma_2_3 https://erdosproblems.ai/wiki/library/integer_sequences/chojecki_2026_distinct_consecutive_products/proposition_4_3 https://erdosproblems.ai/wiki/library/integer_sequences/chojecki_2026_distinct_consecutive_products/theorem_1_1 https://erdosproblems.ai/wiki/library/integer_sequences/chojecki_2026_second_term_strongly_2_primitive_sets https://erdosproblems.ai/wiki/library/integer_sequences/chojecki_2026_second_term_strongly_2_primitive_sets/lemma_2_1 https://erdosproblems.ai/wiki/library/integer_sequences/chojecki_2026_second_term_strongly_2_primitive_sets/lemma_2_2 https://erdosproblems.ai/wiki/library/integer_sequences/chojecki_2026_second_term_strongly_2_primitive_sets/lemma_2_3 https://erdosproblems.ai/wiki/library/integer_sequences/chojecki_2026_second_term_strongly_2_primitive_sets/lemma_3_1 https://erdosproblems.ai/wiki/library/integer_sequences/chojecki_2026_second_term_strongly_2_primitive_sets/lemma_3_2 https://erdosproblems.ai/wiki/library/integer_sequences/chojecki_2026_second_term_strongly_2_primitive_sets/lemma_3_3 https://erdosproblems.ai/wiki/library/integer_sequences/chojecki_2026_second_term_strongly_2_primitive_sets/proposition_2_4 https://erdosproblems.ai/wiki/library/integer_sequences/chojecki_2026_second_term_strongly_2_primitive_sets/proposition_3_4 https://erdosproblems.ai/wiki/library/integer_sequences/chojecki_2026_second_term_strongly_2_primitive_sets/theorem_1_1 https://erdosproblems.ai/wiki/library/integer_sequences/chojecki_2026_truncated_congruence_sieves_erdos_problem_25 https://erdosproblems.ai/wiki/library/integer_sequences/chojecki_2026_truncated_congruence_sieves_erdos_problem_25/conjecture_5_1 https://erdosproblems.ai/wiki/library/integer_sequences/chojecki_2026_truncated_congruence_sieves_erdos_problem_25/corollary_5_3 https://erdosproblems.ai/wiki/library/integer_sequences/chojecki_2026_truncated_congruence_sieves_erdos_problem_25/lemma_2_1 https://erdosproblems.ai/wiki/library/integer_sequences/chojecki_2026_truncated_congruence_sieves_erdos_problem_25/proposition_4_1 https://erdosproblems.ai/wiki/library/integer_sequences/chojecki_2026_truncated_congruence_sieves_erdos_problem_25/proposition_4_2 https://erdosproblems.ai/wiki/library/integer_sequences/chojecki_2026_truncated_congruence_sieves_erdos_problem_25/proposition_6_1 https://erdosproblems.ai/wiki/library/integer_sequences/chojecki_2026_truncated_congruence_sieves_erdos_problem_25/proposition_6_3 https://erdosproblems.ai/wiki/library/integer_sequences/chojecki_2026_truncated_congruence_sieves_erdos_problem_25/theorem_3_1 https://erdosproblems.ai/wiki/library/integer_sequences/chojecki_2026_truncated_congruence_sieves_erdos_problem_25/theorem_3_2 https://erdosproblems.ai/wiki/library/integer_sequences/chojecki_2026_truncated_congruence_sieves_erdos_problem_25/theorem_5_4 https://erdosproblems.ai/wiki/library/integer_sequences/conlon_2021_subset_sums_completeness_colorings https://erdosproblems.ai/wiki/library/integer_sequences/conlon_2021_subset_sums_completeness_colorings/theorem_1_1 https://erdosproblems.ai/wiki/library/integer_sequences/corvaja_zannier_2005_height_sunit_points https://erdosproblems.ai/wiki/library/integer_sequences/corvaja_zannier_2005_height_sunit_points/corollary_1 https://erdosproblems.ai/wiki/library/integer_sequences/corvaja_zannier_2005_height_sunit_points/main_theorem https://erdosproblems.ai/wiki/library/integer_sequences/corvaja_zannier_2005_height_sunit_points/theorem_1 https://erdosproblems.ai/wiki/library/integer_sequences/dai_2006_sequences_bounded_l_c_m_each https://erdosproblems.ai/wiki/library/integer_sequences/dai_2006_sequences_bounded_l_c_m_each/theorem https://erdosproblems.ai/wiki/library/integer_sequences/davenport_1936_sequences_positive_integers https://erdosproblems.ai/wiki/library/integer_sequences/davenport_1936_sequences_positive_integers/theorem_2 https://erdosproblems.ai/wiki/library/integer_sequences/davis_2026_forbidden_subgraphs_divisor_graphs https://erdosproblems.ai/wiki/library/integer_sequences/davis_2026_forbidden_subgraphs_divisor_graphs/corollary_3 https://erdosproblems.ai/wiki/library/integer_sequences/davis_2026_forbidden_subgraphs_divisor_graphs/corollary_4 https://erdosproblems.ai/wiki/library/integer_sequences/davis_2026_forbidden_subgraphs_divisor_graphs/theorem_1 https://erdosproblems.ai/wiki/library/integer_sequences/dietmann_2023_longer_gaps_between_values_binary_quadratic https://erdosproblems.ai/wiki/library/integer_sequences/dietmann_2023_longer_gaps_between_values_binary_quadratic/theorem_1_arxiv_v2 https://erdosproblems.ai/wiki/library/integer_sequences/dietmann_2023_longer_gaps_between_values_binary_quadratic/theorem_2_arxiv_v2 https://erdosproblems.ai/wiki/library/integer_sequences/dietmann_2023_longer_gaps_between_values_binary_quadratic/theorem_3_arxiv_v2 https://erdosproblems.ai/wiki/library/integer_sequences/doorn_2025_growth_rates_sequences_governed_squarefree_properties https://erdosproblems.ai/wiki/library/integer_sequences/doorn_2025_growth_rates_sequences_governed_squarefree_properties/remark_7 https://erdosproblems.ai/wiki/library/integer_sequences/doorn_2025_growth_rates_sequences_governed_squarefree_properties/squarefree_sums_bound_p4 https://erdosproblems.ai/wiki/library/integer_sequences/doorn_2025_growth_rates_sequences_governed_squarefree_properties/theorem_1 https://erdosproblems.ai/wiki/library/integer_sequences/doorn_2025_growth_rates_sequences_governed_squarefree_properties/theorem_2 https://erdosproblems.ai/wiki/library/integer_sequences/doorn_2025_growth_rates_sequences_governed_squarefree_properties/theorem_3 https://erdosproblems.ai/wiki/library/integer_sequences/doorn_2025_growth_rates_sequences_governed_squarefree_properties/theorem_4 https://erdosproblems.ai/wiki/library/integer_sequences/doorn_2025_growth_rates_sequences_governed_squarefree_properties/theorem_5 https://erdosproblems.ai/wiki/library/integer_sequences/doorn_2025_growth_rates_sequences_governed_squarefree_properties/theorem_6 https://erdosproblems.ai/wiki/library/integer_sequences/doorn_2025_growth_rates_sequences_governed_squarefree_properties/theorem_8 https://erdosproblems.ai/wiki/library/integer_sequences/doorn_2025_growth_rates_sequences_governed_squarefree_properties/theorem_9 https://erdosproblems.ai/wiki/library/integer_sequences/doorn_2026_consecutive_integers_free_certain_prime_factors https://erdosproblems.ai/wiki/library/integer_sequences/doorn_2026_consecutive_integers_free_certain_prime_factors/theorem_1_1 https://erdosproblems.ai/wiki/library/integer_sequences/doorn_2026_length_interval_distinct_multiples https://erdosproblems.ai/wiki/library/integer_sequences/doorn_2026_length_interval_distinct_multiples/theorem_1 https://erdosproblems.ai/wiki/library/integer_sequences/elliott_nd_problem_erdos_concerning_power_residue_sums https://erdosproblems.ai/wiki/library/integer_sequences/elsholtz_2017_erdos_sarkozy_s_sequences https://erdosproblems.ai/wiki/library/integer_sequences/elsholtz_2017_erdos_sarkozy_s_sequences/theorem https://erdosproblems.ai/wiki/library/integer_sequences/erdos_1938_sequences_integers_no_one_which_divides https://erdosproblems.ai/wiki/library/integer_sequences/erdos_1951_problems_results_elementary_number_theory https://erdosproblems.ai/wiki/library/integer_sequences/erdos_1951_problems_results_elementary_number_theory/equation_23 https://erdosproblems.ai/wiki/library/integer_sequences/erdos_1951_problems_results_elementary_number_theory/inequality_2 https://erdosproblems.ai/wiki/library/integer_sequences/erdos_1951_problems_results_elementary_number_theory/inequality_20 https://erdosproblems.ai/wiki/library/integer_sequences/erdos_1951_problems_results_elementary_number_theory/lemma_2 https://erdosproblems.ai/wiki/library/integer_sequences/erdos_1951_problems_results_elementary_number_theory/remark_p109 https://erdosproblems.ai/wiki/library/integer_sequences/erdos_1951_problems_results_elementary_number_theory/theorem_1 https://erdosproblems.ai/wiki/library/integer_sequences/erdos_1956_pseudoprimes_carmichael_numbers https://erdosproblems.ai/wiki/library/integer_sequences/erdos_1956_pseudoprimes_carmichael_numbers/conjecture_p201 https://erdosproblems.ai/wiki/library/integer_sequences/erdos_1956_pseudoprimes_carmichael_numbers/inequality_5 https://erdosproblems.ai/wiki/library/integer_sequences/erdos_1956_pseudoprimes_carmichael_numbers/inequality_6 https://erdosproblems.ai/wiki/library/integer_sequences/erdos_1956_pseudoprimes_carmichael_numbers/lemma_1 https://erdosproblems.ai/wiki/library/integer_sequences/erdos_1956_pseudoprimes_carmichael_numbers/remark_p206 https://erdosproblems.ai/wiki/library/integer_sequences/erdos_1959_megjegyzesek_egy_versenyfeladathoz_remarks_problem_bemerkungen https://erdosproblems.ai/wiki/library/integer_sequences/erdos_1959_megjegyzesek_egy_versenyfeladathoz_remarks_problem_bemerkungen/section_10 https://erdosproblems.ai/wiki/library/integer_sequences/erdos_1959_megjegyzesek_egy_versenyfeladathoz_remarks_problem_bemerkungen/section_11 https://erdosproblems.ai/wiki/library/integer_sequences/erdos_1959_megjegyzesek_egy_versenyfeladathoz_remarks_problem_bemerkungen/section_12 https://erdosproblems.ai/wiki/library/integer_sequences/erdos_1961_satze_und_probleme_uber_german https://erdosproblems.ai/wiki/library/integer_sequences/erdos_1961_satze_und_probleme_uber_german/question_p256 https://erdosproblems.ai/wiki/library/integer_sequences/erdos_1961_satze_und_probleme_uber_german/satz_1 https://erdosproblems.ai/wiki/library/integer_sequences/erdos_1961_satze_und_probleme_uber_german/satz_2 https://erdosproblems.ai/wiki/library/integer_sequences/erdos_1961_szamelmeleti_megjegyzesek https://erdosproblems.ai/wiki/library/integer_sequences/erdos_1961_szamelmeleti_megjegyzesek/conjecture_4 https://erdosproblems.ai/wiki/library/integer_sequences/erdos_1961_szamelmeleti_megjegyzesek/equation_3 https://erdosproblems.ai/wiki/library/integer_sequences/erdos_1961_szamelmeleti_megjegyzesek/problem_p11 https://erdosproblems.ai/wiki/library/integer_sequences/erdos_1962_szamelmeleti_megjegyzesek_iv https://erdosproblems.ai/wiki/library/integer_sequences/erdos_1962_szamelmeleti_megjegyzesek_iv/problem_14 https://erdosproblems.ai/wiki/library/integer_sequences/erdos_1964_addition_residue_classes_mod https://erdosproblems.ai/wiki/library/integer_sequences/erdos_1964_addition_residue_classes_mod/conjecture_3 https://erdosproblems.ai/wiki/library/integer_sequences/erdos_1964_addition_residue_classes_mod/theorem_i https://erdosproblems.ai/wiki/library/integer_sequences/erdos_1964_multiplicative_representation_integers https://erdosproblems.ai/wiki/library/integer_sequences/erdos_1964_multiplicative_representation_integers/theorem_1 https://erdosproblems.ai/wiki/library/integer_sequences/erdos_1964_multiplicative_representation_integers/theorem_2 https://erdosproblems.ai/wiki/library/integer_sequences/erdos_1964_multiplicative_representation_integers/theorem_3 https://erdosproblems.ai/wiki/library/integer_sequences/erdos_1964_multiplicative_representation_integers/theorem_4 https://erdosproblems.ai/wiki/library/integer_sequences/erdos_1964_problem_elementary_number_theory_combinatorial_problem https://erdosproblems.ai/wiki/library/integer_sequences/erdos_1964_problem_elementary_number_theory_combinatorial_problem/question_p646 https://erdosproblems.ai/wiki/library/integer_sequences/erdos_1964_problem_elementary_number_theory_combinatorial_problem/theorem_p644 https://erdosproblems.ai/wiki/library/integer_sequences/erdos_1969_applications_graph_theory_number_theory https://erdosproblems.ai/wiki/library/integer_sequences/erdos_1969_applications_graph_theory_number_theory/conjecture_p81 https://erdosproblems.ai/wiki/library/integer_sequences/erdos_1969_applications_graph_theory_number_theory/equation_9 https://erdosproblems.ai/wiki/library/integer_sequences/erdos_1969_applications_graph_theory_number_theory/inequality_1 https://erdosproblems.ai/wiki/library/integer_sequences/erdos_1969_applications_graph_theory_number_theory/inequality_10 https://erdosproblems.ai/wiki/library/integer_sequences/erdos_1969_applications_graph_theory_number_theory/inequality_11 https://erdosproblems.ai/wiki/library/integer_sequences/erdos_1969_applications_graph_theory_number_theory/inequality_2 https://erdosproblems.ai/wiki/library/integer_sequences/erdos_1969_applications_graph_theory_number_theory/inequality_3 https://erdosproblems.ai/wiki/library/integer_sequences/erdos_1969_applications_graph_theory_number_theory/inequality_6 https://erdosproblems.ai/wiki/library/integer_sequences/erdos_1969_applications_graph_theory_number_theory/inequality_7 https://erdosproblems.ai/wiki/library/integer_sequences/erdos_1969_applications_graph_theory_number_theory/question_p82 https://erdosproblems.ai/wiki/library/integer_sequences/erdos_1970_applications_graph_theory_number_theory https://erdosproblems.ai/wiki/library/integer_sequences/erdos_1970_applications_graph_theory_number_theory/display_1 https://erdosproblems.ai/wiki/library/integer_sequences/erdos_1970_applications_graph_theory_number_theory/display_2 https://erdosproblems.ai/wiki/library/integer_sequences/erdos_1970_applications_graph_theory_number_theory/display_5 https://erdosproblems.ai/wiki/library/integer_sequences/erdos_1970_applications_graph_theory_number_theory/display_6 https://erdosproblems.ai/wiki/library/integer_sequences/erdos_1970_divisibility_properties_sequences_integers https://erdosproblems.ai/wiki/library/integer_sequences/erdos_1970_divisibility_properties_sequences_integers/conjecture_p98 https://erdosproblems.ai/wiki/library/integer_sequences/erdos_1970_divisibility_properties_sequences_integers/theorem https://erdosproblems.ai/wiki/library/integer_sequences/erdos_1972_extremal_problems_number_theory https://erdosproblems.ai/wiki/library/integer_sequences/erdos_1972_extremal_problems_number_theory/section_i https://erdosproblems.ai/wiki/library/integer_sequences/erdos_1973_number_solutions_additive_functions https://erdosproblems.ai/wiki/library/integer_sequences/erdos_1976_multiplicative_representations_integers https://erdosproblems.ai/wiki/library/integer_sequences/erdos_1976_multiplicative_representations_integers/conjecture_5 https://erdosproblems.ai/wiki/library/integer_sequences/erdos_1976_multiplicative_representations_integers/theorem_1 https://erdosproblems.ai/wiki/library/integer_sequences/erdos_1976_multiplicative_representations_integers/theorem_2 https://erdosproblems.ai/wiki/library/integer_sequences/erdos_1976_multiplicative_representations_integers/theorem_3 https://erdosproblems.ai/wiki/library/integer_sequences/erdos_1976_multiplicative_representations_integers/theorem_4 https://erdosproblems.ai/wiki/library/integer_sequences/erdos_1976_problem_graham https://erdosproblems.ai/wiki/library/integer_sequences/erdos_1976_problem_graham/main_theorem https://erdosproblems.ai/wiki/library/integer_sequences/erdos_1976_problem_graham/theorem_1 https://erdosproblems.ai/wiki/library/integer_sequences/erdos_1977_differences_sums_integers_ii https://erdosproblems.ai/wiki/library/integer_sequences/erdos_1977_differences_sums_integers_ii/definition_p204 https://erdosproblems.ai/wiki/library/integer_sequences/erdos_1977_differences_sums_integers_ii/remark_p209 https://erdosproblems.ai/wiki/library/integer_sequences/erdos_1977_differences_sums_integers_ii/theorem_3 https://erdosproblems.ai/wiki/library/integer_sequences/erdos_1977_differences_sums_integers_ii/theorem_4 https://erdosproblems.ai/wiki/library/integer_sequences/erdos_1977_differences_sums_integers_ii/theorem_5 https://erdosproblems.ai/wiki/library/integer_sequences/erdos_1977_differences_sums_integers_ii/theorem_6 https://erdosproblems.ai/wiki/library/integer_sequences/erdos_1977_differences_sums_integers_ii/theorem_7 https://erdosproblems.ai/wiki/library/integer_sequences/erdos_1977_problems_results_combinatorial_number_theory_iii https://erdosproblems.ai/wiki/library/integer_sequences/erdos_1980_megjegyzesek_az_american_mathematical_monthly_egy https://erdosproblems.ai/wiki/library/integer_sequences/erdos_1980_megjegyzesek_az_american_mathematical_monthly_egy/theorem_i https://erdosproblems.ai/wiki/library/integer_sequences/erdos_1980_megjegyzesek_az_american_mathematical_monthly_egy/theorem_ii https://erdosproblems.ai/wiki/library/integer_sequences/erdos_1980_megjegyzesek_az_american_mathematical_monthly_egy/theorem_iii https://erdosproblems.ai/wiki/library/integer_sequences/erdos_1980_megjegyzesek_az_american_mathematical_monthly_egy/theorem_p121 https://erdosproblems.ai/wiki/library/integer_sequences/erdos_1981_many_old_some_new_problems_number_theory https://erdosproblems.ai/wiki/library/integer_sequences/erdos_1981_many_old_some_new_problems_number_theory/problem_iii_3 https://erdosproblems.ai/wiki/library/integer_sequences/erdos_1986_problems_number_theory https://erdosproblems.ai/wiki/library/integer_sequences/erdos_1986_problems_number_theory/theorem_p60 https://erdosproblems.ai/wiki/library/integer_sequences/erdos_1986_problems_number_theory/theorem_p62 https://erdosproblems.ai/wiki/library/integer_sequences/erdos_1987_divisibility_properties_integers_form https://erdosproblems.ai/wiki/library/integer_sequences/erdos_1987_divisibility_properties_integers_form/conjecture_p117 https://erdosproblems.ai/wiki/library/integer_sequences/erdos_1987_divisibility_properties_integers_form/remark_p117 https://erdosproblems.ai/wiki/library/integer_sequences/erdos_1987_divisibility_properties_integers_form/theorem_1 https://erdosproblems.ai/wiki/library/integer_sequences/erdos_1987_divisibility_properties_integers_form/theorem_2 https://erdosproblems.ai/wiki/library/integer_sequences/erdos_1992_my_forgotten_problems_number_theory https://erdosproblems.ai/wiki/library/integer_sequences/erdos_1992_my_forgotten_problems_number_theory/section_1 https://erdosproblems.ai/wiki/library/integer_sequences/erdos_1997_some_old_new_problems_various_branches_combinatorics https://erdosproblems.ai/wiki/library/integer_sequences/erdos_1997_some_old_new_problems_various_branches_combinatorics/section_10 https://erdosproblems.ai/wiki/library/integer_sequences/erdos_1997_some_old_new_problems_various_branches_combinatorics/section_2 https://erdosproblems.ai/wiki/library/integer_sequences/erdos_1997_some_old_new_problems_various_branches_combinatorics/section_9 https://erdosproblems.ai/wiki/library/integer_sequences/fan_2025_maximal_order_shifted_prime_divisor_function https://erdosproblems.ai/wiki/library/integer_sequences/fan_2025_maximal_order_shifted_prime_divisor_function/entropy_divisor_family https://erdosproblems.ai/wiki/library/integer_sequences/fan_2025_maximal_order_shifted_prime_divisor_function/grh_divisor_family https://erdosproblems.ai/wiki/library/integer_sequences/fan_2025_maximal_order_shifted_prime_divisor_function/h_n_corollary https://erdosproblems.ai/wiki/library/integer_sequences/fan_2025_maximal_order_shifted_prime_divisor_function/numerical_optimization https://erdosproblems.ai/wiki/library/integer_sequences/fan_2025_maximal_order_shifted_prime_divisor_function/proposition_3_1 https://erdosproblems.ai/wiki/library/integer_sequences/fan_2025_maximal_order_shifted_prime_divisor_function/representation_counting https://erdosproblems.ai/wiki/library/integer_sequences/fan_2025_maximal_order_shifted_prime_divisor_function/theorem_1_1 https://erdosproblems.ai/wiki/library/integer_sequences/fan_2025_maximal_order_shifted_prime_divisor_function/unconditional_good_moduli https://erdosproblems.ai/wiki/library/integer_sequences/filaseta_1992_gaps_between_squarefree_numbers_ii https://erdosproblems.ai/wiki/library/integer_sequences/filaseta_1992_gaps_between_squarefree_numbers_ii/theorem https://erdosproblems.ai/wiki/library/integer_sequences/filaseta_2007_sieving_large_integers_covering_systems_congruences https://erdosproblems.ai/wiki/library/integer_sequences/filaseta_2007_sieving_large_integers_covering_systems_congruences/lemma_2_1 https://erdosproblems.ai/wiki/library/integer_sequences/filaseta_2007_sieving_large_integers_covering_systems_congruences/lemma_3_4 https://erdosproblems.ai/wiki/library/integer_sequences/filaseta_2007_sieving_large_integers_covering_systems_congruences/theorem_1 https://erdosproblems.ai/wiki/library/integer_sequences/filaseta_2007_sieving_large_integers_covering_systems_congruences/theorem_2 https://erdosproblems.ai/wiki/library/integer_sequences/filaseta_2007_sieving_large_integers_covering_systems_congruences/theorem_3 https://erdosproblems.ai/wiki/library/integer_sequences/filaseta_2007_sieving_large_integers_covering_systems_congruences/theorem_4 https://erdosproblems.ai/wiki/library/integer_sequences/filaseta_2007_sieving_large_integers_covering_systems_congruences/theorem_5 https://erdosproblems.ai/wiki/library/integer_sequences/filaseta_2007_sieving_large_integers_covering_systems_congruences/theorem_6 https://erdosproblems.ai/wiki/library/integer_sequences/filaseta_2007_sieving_large_integers_covering_systems_congruences/theorem_7 https://erdosproblems.ai/wiki/library/integer_sequences/filaseta_2007_sieving_large_integers_covering_systems_congruences/theorem_a https://erdosproblems.ai/wiki/library/integer_sequences/filaseta_2007_sieving_large_integers_covering_systems_congruences/theorem_b https://erdosproblems.ai/wiki/library/integer_sequences/ford_2010_prime_chains_pratt_trees https://erdosproblems.ai/wiki/library/integer_sequences/ford_2010_prime_chains_pratt_trees/conjecture_5 https://erdosproblems.ai/wiki/library/integer_sequences/ford_2010_prime_chains_pratt_trees/remark_p4 https://erdosproblems.ai/wiki/library/integer_sequences/ford_2010_prime_chains_pratt_trees/theorem_1 https://erdosproblems.ai/wiki/library/integer_sequences/ford_2010_prime_chains_pratt_trees/theorem_2 https://erdosproblems.ai/wiki/library/integer_sequences/ford_2010_prime_chains_pratt_trees/theorem_3 https://erdosproblems.ai/wiki/library/integer_sequences/ford_2010_prime_chains_pratt_trees/theorem_4 https://erdosproblems.ai/wiki/library/integer_sequences/ford_2010_prime_chains_pratt_trees/theorem_5 https://erdosproblems.ai/wiki/library/integer_sequences/ford_2018_long_gaps_between_primes https://erdosproblems.ai/wiki/library/integer_sequences/ford_2018_long_gaps_between_primes/equation_1_2 https://erdosproblems.ai/wiki/library/integer_sequences/ford_2018_long_gaps_between_primes/lemma_1_1 https://erdosproblems.ai/wiki/library/integer_sequences/ford_2018_long_gaps_between_primes/theorem_1 https://erdosproblems.ai/wiki/library/integer_sequences/ford_et_al_2018_long_gaps_sieved_sets https://erdosproblems.ai/wiki/library/integer_sequences/ford_et_al_2018_long_gaps_sieved_sets/corollary_1 https://erdosproblems.ai/wiki/library/integer_sequences/ford_et_al_2018_long_gaps_sieved_sets/corollary_2 https://erdosproblems.ai/wiki/library/integer_sequences/ford_et_al_2018_long_gaps_sieved_sets/corollary_3 https://erdosproblems.ai/wiki/library/integer_sequences/ford_et_al_2018_long_gaps_sieved_sets/theorem_1 https://erdosproblems.ai/wiki/library/integer_sequences/gao_2010_distinct_length_modular_zero_sum_subsequences_graham_conjecture https://erdosproblems.ai/wiki/library/integer_sequences/gao_2010_distinct_length_modular_zero_sum_subsequences_graham_conjecture/theorem_1_1 https://erdosproblems.ai/wiki/library/integer_sequences/gordon_rodemich_1998_dense_admissible_sets https://erdosproblems.ai/wiki/library/integer_sequences/gordon_rodemich_1998_dense_admissible_sets/conjecture_1 https://erdosproblems.ai/wiki/library/integer_sequences/gordon_rodemich_1998_dense_admissible_sets/crossover_computation https://erdosproblems.ai/wiki/library/integer_sequences/gordon_rodemich_1998_dense_admissible_sets/theorem_1 https://erdosproblems.ai/wiki/library/integer_sequences/granville_1999_set_differences_given_set https://erdosproblems.ai/wiki/library/integer_sequences/granville_1999_set_differences_given_set/theorem_1 https://erdosproblems.ai/wiki/library/integer_sequences/granville_1999_set_differences_given_set/theorem_2 https://erdosproblems.ai/wiki/library/integer_sequences/granville_1999_set_differences_given_set/theorem_3 https://erdosproblems.ai/wiki/library/integer_sequences/granville_1999_set_differences_given_set/theorem_4 https://erdosproblems.ai/wiki/library/integer_sequences/granville_1999_set_differences_given_set/unsolved_problem https://erdosproblems.ai/wiki/library/integer_sequences/granville_2001_spectrum_multiplicative_functions https://erdosproblems.ai/wiki/library/integer_sequences/granville_2001_spectrum_multiplicative_functions/corollary_1 https://erdosproblems.ai/wiki/library/integer_sequences/granville_2001_spectrum_multiplicative_functions/theorem_1 https://erdosproblems.ai/wiki/library/integer_sequences/granville_2001_spectrum_multiplicative_functions/theorem_2 https://erdosproblems.ai/wiki/library/integer_sequences/granville_2001_spectrum_multiplicative_functions/theorem_3 https://erdosproblems.ai/wiki/library/integer_sequences/granville_2001_spectrum_multiplicative_functions/theorem_5 https://erdosproblems.ai/wiki/library/integer_sequences/granville_2001_spectrum_multiplicative_functions/theorem_9 https://erdosproblems.ai/wiki/library/integer_sequences/granville_2020_sieving_intervals_siegel_zeros https://erdosproblems.ai/wiki/library/integer_sequences/granville_2020_sieving_intervals_siegel_zeros/corollary_1 https://erdosproblems.ai/wiki/library/integer_sequences/granville_2020_sieving_intervals_siegel_zeros/corollary_2 https://erdosproblems.ai/wiki/library/integer_sequences/granville_2020_sieving_intervals_siegel_zeros/corollary_3 https://erdosproblems.ai/wiki/library/integer_sequences/granville_2020_sieving_intervals_siegel_zeros/proposition_1 https://erdosproblems.ai/wiki/library/integer_sequences/granville_2020_sieving_intervals_siegel_zeros/proposition_2 https://erdosproblems.ai/wiki/library/integer_sequences/granville_2020_sieving_intervals_siegel_zeros/remark_p4 https://erdosproblems.ai/wiki/library/integer_sequences/granville_lumley_2020_primes_short_intervals_heuristics_calculations https://erdosproblems.ai/wiki/library/integer_sequences/granville_lumley_2020_primes_short_intervals_heuristics_calculations/conjecture_p12 https://erdosproblems.ai/wiki/library/integer_sequences/granville_lumley_2020_primes_short_intervals_heuristics_calculations/definition_p17 https://erdosproblems.ai/wiki/library/integer_sequences/granville_lumley_2020_primes_short_intervals_heuristics_calculations/proposition_1 https://erdosproblems.ai/wiki/library/integer_sequences/green_2004_cameron_erdos_conjecture https://erdosproblems.ai/wiki/library/integer_sequences/green_2004_cameron_erdos_conjecture/corollary_13 https://erdosproblems.ai/wiki/library/integer_sequences/green_2004_cameron_erdos_conjecture/proposition_6 https://erdosproblems.ai/wiki/library/integer_sequences/green_2004_cameron_erdos_conjecture/theorem_2 https://erdosproblems.ai/wiki/library/integer_sequences/grynkiewicz_2011_note_conjecture_graham https://erdosproblems.ai/wiki/library/integer_sequences/grynkiewicz_2011_note_conjecture_graham/theorem_3_4 https://erdosproblems.ai/wiki/library/integer_sequences/gyory_2020_additive_multiplicative_decompositions_sets_integers_restricted https://erdosproblems.ai/wiki/library/integer_sequences/gyory_2020_additive_multiplicative_decompositions_sets_integers_restricted/theorem_1_1 https://erdosproblems.ai/wiki/library/integer_sequences/gyory_2020_additive_multiplicative_decompositions_sets_integers_restricted/theorem_1_2 https://erdosproblems.ai/wiki/library/integer_sequences/hall_1996_proof_conjecture_heath_brown_concerning_quadratic https://erdosproblems.ai/wiki/library/integer_sequences/hall_1996_proof_conjecture_heath_brown_concerning_quadratic/conjecture_p581 https://erdosproblems.ai/wiki/library/integer_sequences/hall_1996_proof_conjecture_heath_brown_concerning_quadratic/inequality_15 https://erdosproblems.ai/wiki/library/integer_sequences/hall_1996_proof_conjecture_heath_brown_concerning_quadratic/theorem_p581 https://erdosproblems.ai/wiki/library/integer_sequences/hamidoune_1996_zero_free_subset_sums https://erdosproblems.ai/wiki/library/integer_sequences/hamidoune_1996_zero_free_subset_sums/theorem_3_3 https://erdosproblems.ai/wiki/library/integer_sequences/hamidoune_1996_zero_free_subset_sums/theorem_4_5 https://erdosproblems.ai/wiki/library/integer_sequences/hardy_2002_modified_problem_pillai_related_questions https://erdosproblems.ai/wiki/library/integer_sequences/hardy_2002_modified_problem_pillai_related_questions/problem_a https://erdosproblems.ai/wiki/library/integer_sequences/hardy_2002_modified_problem_pillai_related_questions/problem_b https://erdosproblems.ai/wiki/library/integer_sequences/hardy_2002_modified_problem_pillai_related_questions/problem_f https://erdosproblems.ai/wiki/library/integer_sequences/hardy_2002_modified_problem_pillai_related_questions/problem_g https://erdosproblems.ai/wiki/library/integer_sequences/hardy_2002_modified_problem_pillai_related_questions/theorem_2_1 https://erdosproblems.ai/wiki/library/integer_sequences/hardy_2002_modified_problem_pillai_related_questions/theorem_2_12 https://erdosproblems.ai/wiki/library/integer_sequences/hildebrand_1987_quantitative_mean_value_theorems_nonnegative_multiplicative https://erdosproblems.ai/wiki/library/integer_sequences/hooley_1965_difference_between_consecutive_numbers_prime https://erdosproblems.ai/wiki/library/integer_sequences/hooley_1965_difference_between_consecutive_numbers_prime/theorem_1 https://erdosproblems.ai/wiki/library/integer_sequences/hooley_1965_difference_between_consecutive_numbers_prime/theorem_2 https://erdosproblems.ai/wiki/library/integer_sequences/iwaniec_1978_problem_jacobsthal https://erdosproblems.ai/wiki/library/integer_sequences/iwaniec_1978_problem_jacobsthal/corollary https://erdosproblems.ai/wiki/library/integer_sequences/iwaniec_1978_problem_jacobsthal/theorem https://erdosproblems.ai/wiki/library/integer_sequences/khalfalah_2002_tight_bound_density_sum_no_two_perfect_square https://erdosproblems.ai/wiki/library/integer_sequences/klarner_1974_arithmetic_properties_certain_recursively_defined_sets https://erdosproblems.ai/wiki/library/integer_sequences/klarner_1974_arithmetic_properties_certain_recursively_defined_sets/conjecture_1 https://erdosproblems.ai/wiki/library/integer_sequences/klarner_1974_arithmetic_properties_certain_recursively_defined_sets/conjecture_2 https://erdosproblems.ai/wiki/library/integer_sequences/klarner_1974_arithmetic_properties_certain_recursively_defined_sets/theorem_11 https://erdosproblems.ai/wiki/library/integer_sequences/klarner_1974_arithmetic_properties_certain_recursively_defined_sets/theorem_3 https://erdosproblems.ai/wiki/library/integer_sequences/klarner_1974_arithmetic_properties_certain_recursively_defined_sets/theorem_4 https://erdosproblems.ai/wiki/library/integer_sequences/klarner_1974_arithmetic_properties_certain_recursively_defined_sets/theorem_5 https://erdosproblems.ai/wiki/library/integer_sequences/klarner_1974_arithmetic_properties_certain_recursively_defined_sets/theorem_8 https://erdosproblems.ai/wiki/library/integer_sequences/kolpakov_2022_free_semigroups_affine_maps_real_line https://erdosproblems.ai/wiki/library/integer_sequences/kolpakov_2022_free_semigroups_affine_maps_real_line/ping_pong_lemma https://erdosproblems.ai/wiki/library/integer_sequences/kolpakov_2022_free_semigroups_affine_maps_real_line/theorem_1 https://erdosproblems.ai/wiki/library/integer_sequences/kolpakov_2022_free_semigroups_affine_maps_real_line/theorem_2 https://erdosproblems.ai/wiki/library/integer_sequences/kolpakov_2022_free_semigroups_affine_maps_real_line/theorem_3 https://erdosproblems.ai/wiki/library/integer_sequences/konieczny_2015_consecutive_sums_permutations https://erdosproblems.ai/wiki/library/integer_sequences/konieczny_2015_consecutive_sums_permutations/proposition_1_1 https://erdosproblems.ai/wiki/library/integer_sequences/konieczny_2015_consecutive_sums_permutations/proposition_6_1 https://erdosproblems.ai/wiki/library/integer_sequences/konieczny_2015_consecutive_sums_permutations/theorem_1_2 https://erdosproblems.ai/wiki/library/integer_sequences/konieczny_2015_consecutive_sums_permutations/theorem_1_3 https://erdosproblems.ai/wiki/library/integer_sequences/konyagin_2004_problems_set_square_free_numbers https://erdosproblems.ai/wiki/library/integer_sequences/konyagin_2022_construction_schinzel_many_numbers_short_interval_without_small_prime_factors https://erdosproblems.ai/wiki/library/integer_sequences/konyagin_2022_construction_schinzel_many_numbers_short_interval_without_small_prime_factors/corollary_1 https://erdosproblems.ai/wiki/library/integer_sequences/konyagin_2022_construction_schinzel_many_numbers_short_interval_without_small_prime_factors/theorem_1 https://erdosproblems.ai/wiki/library/integer_sequences/lagarias_1983_density_sequences_integers_sum_no_two https://erdosproblems.ai/wiki/library/integer_sequences/lagarias_1983_density_sequences_integers_sum_no_two/theorem_b https://erdosproblems.ai/wiki/library/integer_sequences/lagarias_1983_density_sequences_integers_sum_no_two/theorem_c https://erdosproblems.ai/wiki/library/integer_sequences/laishram_2006_grimm_s_conjecture_consecutive_integers https://erdosproblems.ai/wiki/library/integer_sequences/laishram_2006_grimm_s_conjecture_consecutive_integers/theorem_1 https://erdosproblems.ai/wiki/library/integer_sequences/laishram_2006_grimm_s_conjecture_consecutive_integers/theorem_2 https://erdosproblems.ai/wiki/library/integer_sequences/lehmer_1963_pairs_consecutive_power_residues https://erdosproblems.ai/wiki/library/integer_sequences/lehmer_1963_pairs_consecutive_power_residues/display_5 https://erdosproblems.ai/wiki/library/integer_sequences/lehmer_1963_pairs_consecutive_power_residues/display_6 https://erdosproblems.ai/wiki/library/integer_sequences/li_2016_lower_bound_least_prime_arithmetic_progression https://erdosproblems.ai/wiki/library/integer_sequences/li_2016_lower_bound_least_prime_arithmetic_progression/lemma_2_1 https://erdosproblems.ai/wiki/library/integer_sequences/li_2016_lower_bound_least_prime_arithmetic_progression/theorem_1_1 https://erdosproblems.ai/wiki/library/integer_sequences/li_2026_resolution_erdos_problem_768_sylow_divisor https://erdosproblems.ai/wiki/library/integer_sequences/li_2026_resolution_erdos_problem_768_sylow_divisor/theorem_1_1 https://erdosproblems.ai/wiki/library/integer_sequences/li_2026_resolution_erdos_problem_768_sylow_divisor/theorem_4_3 https://erdosproblems.ai/wiki/library/integer_sequences/li_2026_resolution_erdos_problem_768_sylow_divisor/theorem_8_3 https://erdosproblems.ai/wiki/library/integer_sequences/linnik_1942_erdos_theorem_addition_numerical_sequences https://erdosproblems.ai/wiki/library/integer_sequences/linnik_1942_erdos_theorem_addition_numerical_sequences/lemmas https://erdosproblems.ai/wiki/library/integer_sequences/linnik_1942_erdos_theorem_addition_numerical_sequences/theorem https://erdosproblems.ai/wiki/library/integer_sequences/nesetril_2024_pisier_type_theorems https://erdosproblems.ai/wiki/library/integer_sequences/nguyen_2010_squares_sumsets https://erdosproblems.ai/wiki/library/integer_sequences/nguyen_2010_squares_sumsets/example_1_2 https://erdosproblems.ai/wiki/library/integer_sequences/nguyen_2010_squares_sumsets/theorem_1_4 https://erdosproblems.ai/wiki/library/integer_sequences/nguyen_2010_squares_sumsets/theorem_1_5 https://erdosproblems.ai/wiki/library/integer_sequences/nguyendang_2026_sequence_gcd_n_1_b_n https://erdosproblems.ai/wiki/library/integer_sequences/olson_1968_addition_theorem_modulo https://erdosproblems.ai/wiki/library/integer_sequences/olson_1968_addition_theorem_modulo/theorem_1 https://erdosproblems.ai/wiki/library/integer_sequences/olson_1968_addition_theorem_modulo/theorem_2 https://erdosproblems.ai/wiki/library/integer_sequences/openai_2026_primitive_roots_admissible_integer_base https://erdosproblems.ai/wiki/library/integer_sequences/openai_2026_primitive_roots_admissible_integer_base/theorem_1_1 https://erdosproblems.ai/wiki/library/integer_sequences/openai_2026_primitive_roots_admissible_integer_base/theorem_1_2 https://erdosproblems.ai/wiki/library/integer_sequences/openai_2026_quadratic_bound_jacobsthal_function https://erdosproblems.ai/wiki/library/integer_sequences/openai_2026_quadratic_bound_jacobsthal_function/theorem_1_1 https://erdosproblems.ai/wiki/library/integer_sequences/openai_2026_quadratic_bound_jacobsthal_function/theorem_1_2 https://erdosproblems.ai/wiki/library/integer_sequences/polymath_2014_variants_selberg_sieve_bounded_intervals_containing https://erdosproblems.ai/wiki/library/integer_sequences/polymath_2014_variants_selberg_sieve_bounded_intervals_containing/inequality_150 https://erdosproblems.ai/wiki/library/integer_sequences/polymath_2014_variants_selberg_sieve_bounded_intervals_containing/theorem_17 https://erdosproblems.ai/wiki/library/integer_sequences/polymath_2014_variants_selberg_sieve_bounded_intervals_containing/theorem_4 https://erdosproblems.ai/wiki/library/integer_sequences/polymath_2014_variants_selberg_sieve_bounded_intervals_containing/theorem_5 https://erdosproblems.ai/wiki/library/integer_sequences/pomerance_1989_two_methods_elementary_analytic_number_theory https://erdosproblems.ai/wiki/library/integer_sequences/pomerance_1989_two_methods_elementary_analytic_number_theory/theorem_2_1 https://erdosproblems.ai/wiki/library/integer_sequences/pomerance_1989_two_methods_elementary_analytic_number_theory/theorem_3_1 https://erdosproblems.ai/wiki/library/integer_sequences/pomerance_1989_two_methods_elementary_analytic_number_theory/theorem_4_1 https://erdosproblems.ai/wiki/library/integer_sequences/pomerance_1989_two_methods_elementary_analytic_number_theory/theorem_4_4 https://erdosproblems.ai/wiki/library/integer_sequences/pomerance_1989_two_methods_elementary_analytic_number_theory/theorem_4_6 https://erdosproblems.ai/wiki/library/integer_sequences/pomerance_1989_two_methods_elementary_analytic_number_theory/theorem_5_1 https://erdosproblems.ai/wiki/library/integer_sequences/prachar_1955_divisors_form_prime_minus_one https://erdosproblems.ai/wiki/library/integer_sequences/prachar_1955_divisors_form_prime_minus_one/balanced_divisors https://erdosproblems.ai/wiki/library/integer_sequences/prachar_1955_divisors_form_prime_minus_one/divisor_comparison https://erdosproblems.ai/wiki/library/integer_sequences/prachar_1955_divisors_form_prime_minus_one/equation_17 https://erdosproblems.ai/wiki/library/integer_sequences/prachar_1955_divisors_form_prime_minus_one/equation_23 https://erdosproblems.ai/wiki/library/integer_sequences/prachar_1955_divisors_form_prime_minus_one/hilfssatz_1 https://erdosproblems.ai/wiki/library/integer_sequences/prachar_1955_divisors_form_prime_minus_one/hilfssatz_2 https://erdosproblems.ai/wiki/library/integer_sequences/prachar_1955_divisors_form_prime_minus_one/lcm_pairs https://erdosproblems.ai/wiki/library/integer_sequences/prachar_1955_divisors_form_prime_minus_one/satz_1 https://erdosproblems.ai/wiki/library/integer_sequences/prachar_1955_divisors_form_prime_minus_one/satz_2 https://erdosproblems.ai/wiki/library/integer_sequences/prachar_1955_divisors_form_prime_minus_one/satz_3 https://erdosproblems.ai/wiki/library/integer_sequences/prachar_1955_divisors_form_prime_minus_one/satz_4 https://erdosproblems.ai/wiki/library/integer_sequences/price_2026_coprime_power_differences https://erdosproblems.ai/wiki/library/integer_sequences/price_2026_coprime_power_differences/corollary_1_2 https://erdosproblems.ai/wiki/library/integer_sequences/price_2026_coprime_power_differences/growth_constant https://erdosproblems.ai/wiki/library/integer_sequences/price_2026_coprime_power_differences/lemma_2_1 https://erdosproblems.ai/wiki/library/integer_sequences/price_2026_coprime_power_differences/lemma_3_1 https://erdosproblems.ai/wiki/library/integer_sequences/price_2026_coprime_power_differences/theorem_1_1 https://erdosproblems.ai/wiki/library/integer_sequences/raghavan_2025_sharp_bounds_sets_distinct_subset_products https://erdosproblems.ai/wiki/library/integer_sequences/raghavan_2025_sharp_bounds_sets_distinct_subset_products/theorem_1_3 https://erdosproblems.ai/wiki/library/integer_sequences/raghavan_2025_sharp_bounds_sets_distinct_subset_products/theorem_1_4 https://erdosproblems.ai/wiki/library/integer_sequences/raghavan_2025_sharp_bounds_sets_distinct_subset_products/theorem_1_5 https://erdosproblems.ai/wiki/library/integer_sequences/raghavan_2025_sharp_bounds_sets_distinct_subset_products/theorem_1_6 https://erdosproblems.ai/wiki/library/integer_sequences/raghavan_2025_sharp_bounds_sets_distinct_subset_products/theorem_2_7 https://erdosproblems.ai/wiki/library/integer_sequences/richter_1976_uber_die_monotonie_von_differenzenfolgen https://erdosproblems.ai/wiki/library/integer_sequences/ruzsa_1977_general_multiplicative_functions https://erdosproblems.ai/wiki/library/integer_sequences/saias_1998_applications_des_entiers_diviseurs_denses https://erdosproblems.ai/wiki/library/integer_sequences/schinzel_1959_sur_un_probleme_de_paul_erdos https://erdosproblems.ai/wiki/library/integer_sequences/schinzel_1959_sur_un_probleme_de_paul_erdos/construction_p228 https://erdosproblems.ai/wiki/library/integer_sequences/schinzel_1959_sur_un_probleme_de_paul_erdos/theorem_1 https://erdosproblems.ai/wiki/library/integer_sequences/schinzel_1959_sur_un_probleme_de_paul_erdos/theorem_2 https://erdosproblems.ai/wiki/library/integer_sequences/schinzel_1959_sur_un_probleme_de_paul_erdos/theorem_3 https://erdosproblems.ai/wiki/library/integer_sequences/schinzel_1961_remarks_paper_sur_certaines_hypotheses_concernant_les_nombres_premiers https://erdosproblems.ai/wiki/library/integer_sequences/schoen_2001_problem_erdos_sarkozy https://erdosproblems.ai/wiki/library/integer_sequences/schoen_2001_problem_erdos_sarkozy/theorem https://erdosproblems.ai/wiki/library/integer_sequences/sorenson_webster_2015_strong_pseudoprimes_twelve_bases https://erdosproblems.ai/wiki/library/integer_sequences/sorenson_webster_2015_strong_pseudoprimes_twelve_bases/theorem_1_1 https://erdosproblems.ai/wiki/library/integer_sequences/sorenson_webster_2015_strong_pseudoprimes_twelve_bases/theorem_1_2 https://erdosproblems.ai/wiki/library/integer_sequences/sorenson_webster_2015_strong_pseudoprimes_twelve_bases/theorem_3_8 https://erdosproblems.ai/wiki/library/integer_sequences/stewart_1978_difference_sets_sets_integers https://erdosproblems.ai/wiki/library/integer_sequences/stewart_1978_difference_sets_sets_integers/theorem_1 https://erdosproblems.ai/wiki/library/integer_sequences/stewart_1978_difference_sets_sets_integers/theorem_2 https://erdosproblems.ai/wiki/library/integer_sequences/stewart_1978_difference_sets_sets_integers/theorem_3 https://erdosproblems.ai/wiki/library/integer_sequences/stewart_1978_difference_sets_sets_integers/theorem_4 https://erdosproblems.ai/wiki/library/integer_sequences/stewart_1978_difference_sets_sets_integers/theorem_5 https://erdosproblems.ai/wiki/library/integer_sequences/stewart_1978_difference_sets_sets_integers/theorem_6 https://erdosproblems.ai/wiki/library/integer_sequences/stewart_1978_difference_sets_sets_integers/theorem_7 https://erdosproblems.ai/wiki/library/integer_sequences/stewart_1978_difference_sets_sets_integers/theorem_8 https://erdosproblems.ai/wiki/library/integer_sequences/szemeredi_1970_conjecture_erdos_heilbronn https://erdosproblems.ai/wiki/library/integer_sequences/szemeredi_1970_conjecture_erdos_heilbronn/theorem https://erdosproblems.ai/wiki/library/integer_sequences/szemeredi_1976_problem_p_erdos https://erdosproblems.ai/wiki/library/integer_sequences/szemeredi_1976_problem_p_erdos/main_theorem https://erdosproblems.ai/wiki/library/integer_sequences/szemeredi_2005_long_arithmetic_progressions_sumsets_thresholds_bounds https://erdosproblems.ai/wiki/library/integer_sequences/szemeredi_2005_long_arithmetic_progressions_sumsets_thresholds_bounds/corollary_3_9 https://erdosproblems.ai/wiki/library/integer_sequences/szemeredi_2005_long_arithmetic_progressions_sumsets_thresholds_bounds/lemma_6_10 https://erdosproblems.ai/wiki/library/integer_sequences/szemeredi_2005_long_arithmetic_progressions_sumsets_thresholds_bounds/lemma_6_5 https://erdosproblems.ai/wiki/library/integer_sequences/szemeredi_2005_long_arithmetic_progressions_sumsets_thresholds_bounds/lemma_9_3 https://erdosproblems.ai/wiki/library/integer_sequences/szemeredi_2005_long_arithmetic_progressions_sumsets_thresholds_bounds/theorem_10_3 https://erdosproblems.ai/wiki/library/integer_sequences/szemeredi_2005_long_arithmetic_progressions_sumsets_thresholds_bounds/theorem_3_12 https://erdosproblems.ai/wiki/library/integer_sequences/szemeredi_2005_long_arithmetic_progressions_sumsets_thresholds_bounds/theorem_3_8 https://erdosproblems.ai/wiki/library/integer_sequences/szemeredi_2005_long_arithmetic_progressions_sumsets_thresholds_bounds/theorem_5_1 https://erdosproblems.ai/wiki/library/integer_sequences/szemeredi_2005_long_arithmetic_progressions_sumsets_thresholds_bounds/theorem_6_3 https://erdosproblems.ai/wiki/library/integer_sequences/szemeredi_2005_long_arithmetic_progressions_sumsets_thresholds_bounds/theorem_7_1 https://erdosproblems.ai/wiki/library/integer_sequences/szemeredi_2005_long_arithmetic_progressions_sumsets_thresholds_bounds/theorem_8_13 https://erdosproblems.ai/wiki/library/integer_sequences/szemeredi_2005_long_arithmetic_progressions_sumsets_thresholds_bounds/theorem_9_4 https://erdosproblems.ai/wiki/library/integer_sequences/tang_2025_harmonic_lcm_patterns_sunflower_free_capacity https://erdosproblems.ai/wiki/library/integer_sequences/tang_2025_harmonic_lcm_patterns_sunflower_free_capacity/corollary_1_7 https://erdosproblems.ai/wiki/library/integer_sequences/tang_2025_harmonic_lcm_patterns_sunflower_free_capacity/theorem_1_2 https://erdosproblems.ai/wiki/library/integer_sequences/tang_2025_harmonic_lcm_patterns_sunflower_free_capacity/theorem_1_4 https://erdosproblems.ai/wiki/library/integer_sequences/tang_2025_harmonic_lcm_patterns_sunflower_free_capacity/theorem_1_5 https://erdosproblems.ai/wiki/library/integer_sequences/tang_2025_harmonic_lcm_patterns_sunflower_free_capacity/theorem_1_6 https://erdosproblems.ai/wiki/library/integer_sequences/tang_2026_hofstadter_consecutive_sum_sequence_omits_infinitely https://erdosproblems.ai/wiki/library/integer_sequences/tang_2026_hofstadter_consecutive_sum_sequence_omits_infinitely/lemma_2_1 https://erdosproblems.ai/wiki/library/integer_sequences/tang_2026_hofstadter_consecutive_sum_sequence_omits_infinitely/theorem_1_3 https://erdosproblems.ai/wiki/library/integer_sequences/tang_2026_hofstadter_consecutive_sum_sequence_omits_infinitely/theorem_1_4 https://erdosproblems.ai/wiki/library/integer_sequences/tang_2026_hofstadter_consecutive_sum_sequence_omits_infinitely/theorem_1_5 https://erdosproblems.ai/wiki/library/integer_sequences/tao_2024_dense_sets_natural_numbers_unusually_large https://erdosproblems.ai/wiki/library/integer_sequences/tao_2024_dense_sets_natural_numbers_unusually_large/remark_p4 https://erdosproblems.ai/wiki/library/integer_sequences/tao_2024_dense_sets_natural_numbers_unusually_large/theorem_1 https://erdosproblems.ai/wiki/library/integer_sequences/tao_2024_dense_sets_natural_numbers_unusually_large/theorem_2 https://erdosproblems.ai/wiki/library/integer_sequences/tao_2024_dense_sets_natural_numbers_unusually_large/theorem_3 https://erdosproblems.ai/wiki/library/integer_sequences/tao_2024_product_representations_squares https://erdosproblems.ai/wiki/library/integer_sequences/tao_2024_product_representations_squares/proposition_2_1 https://erdosproblems.ai/wiki/library/integer_sequences/tao_2024_product_representations_squares/remark_1_3 https://erdosproblems.ai/wiki/library/integer_sequences/tao_2024_product_representations_squares/theorem_1_2 https://erdosproblems.ai/wiki/library/integer_sequences/tenenbaum_1996_block_behrend_sequences https://erdosproblems.ai/wiki/library/integer_sequences/tenenbaum_1996_block_behrend_sequences/corollary_1 https://erdosproblems.ai/wiki/library/integer_sequences/tenenbaum_1996_block_behrend_sequences/corollary_2 https://erdosproblems.ai/wiki/library/integer_sequences/tenenbaum_1996_block_behrend_sequences/theorem_1 https://erdosproblems.ai/wiki/library/integer_sequences/wang_2026_proposed_complete_solution_erdos_problem_536 https://erdosproblems.ai/wiki/library/integer_sequences/wang_2026_proposed_complete_solution_erdos_problem_536/theorem_1_1 https://erdosproblems.ai/wiki/library/integer_sequences/wang_2026_proposed_solution_erdos_problem_486 https://erdosproblems.ai/wiki/library/integer_sequences/weingartner_2025_schinzel_szekeres_function https://erdosproblems.ai/wiki/library/integer_sequences/weisenberg_2024_sparse_admissible_sets_problem_erdos_graham https://erdosproblems.ai/wiki/library/integer_sequences/weisenberg_2024_sparse_admissible_sets_problem_erdos_graham/theorem_1 https://erdosproblems.ai/wiki/library/integer_sequences/zeng_2026_collective_coprimality_threshold https://erdosproblems.ai/wiki/library/integer_sequences/zeng_2026_collective_coprimality_threshold/coprime_pair_count https://erdosproblems.ai/wiki/library/integer_sequences/zeng_2026_collective_coprimality_threshold/least_quadratic_nonresidue https://erdosproblems.ai/wiki/library/integer_sequences/zeng_2026_collective_coprimality_threshold/partial_threshold_theorem https://erdosproblems.ai/wiki/library/integer_sequences/zeng_2026_collective_coprimality_threshold/prime_divisor_subgroup https://erdosproblems.ai/wiki/library/integer_sequences/zeng_2026_collective_coprimality_threshold/reduced_fraction_injection https://erdosproblems.ai/wiki/library/integer_sequences/zeng_2026_collective_coprimality_threshold/signed_pigeonhole_representation https://erdosproblems.ai/wiki/library/integer_sequences/zeng_2026_collective_coprimality_threshold/zeng_2026_collective_coprimality_threshold https://erdosproblems.ai/wiki/library/integer_sequences/zeraoulia_2026_conditional_resolution_reciprocal_sums_primes https://erdosproblems.ai/wiki/library/irrationality https://erdosproblems.ai/wiki/library/irrationality/badea_1987_irrationality_certain_infinite_series https://erdosproblems.ai/wiki/library/irrationality/badea_1987_irrationality_certain_infinite_series/corollary_1 https://erdosproblems.ai/wiki/library/irrationality/badea_1987_irrationality_certain_infinite_series/corollary_4 https://erdosproblems.ai/wiki/library/irrationality/badea_1987_irrationality_certain_infinite_series/corollary_5 https://erdosproblems.ai/wiki/library/irrationality/badea_1987_irrationality_certain_infinite_series/proposition https://erdosproblems.ai/wiki/library/irrationality/badea_1987_irrationality_certain_infinite_series/theorem https://erdosproblems.ai/wiki/library/irrationality/badea_1993_theorem_irrationality_infinite_series_applications https://erdosproblems.ai/wiki/library/irrationality/barreto_2026_irrationality_rapidly_converging_series_problem_erdos https://erdosproblems.ai/wiki/library/irrationality/barreto_2026_irrationality_rapidly_converging_series_problem_erdos/theorem_2 https://erdosproblems.ai/wiki/library/irrationality/barreto_2026_irrationality_rapidly_converging_series_problem_erdos/theorem_3 https://erdosproblems.ai/wiki/library/irrationality/barreto_2026_irrationality_rapidly_converging_series_problem_erdos/theorem_5 https://erdosproblems.ai/wiki/library/irrationality/bell_2026_mahler_series_multiplicative_coefficients https://erdosproblems.ai/wiki/library/irrationality/bell_2026_mahler_series_multiplicative_coefficients/theorem_1_3 https://erdosproblems.ai/wiki/library/irrationality/bloom_2026_erdos_problem_251_discussion https://erdosproblems.ai/wiki/library/irrationality/bloom_2026_erdos_problem_251_discussion/bloom_2026_erdos_problem_251_discussion https://erdosproblems.ai/wiki/library/irrationality/bloom_2026_erdos_problem_251_discussion/reformulation_gap_series https://erdosproblems.ai/wiki/library/irrationality/boca_2008_problem_erdos_szusz_turan_diophantine_approximations https://erdosproblems.ai/wiki/library/irrationality/borwein_1991_irrationality_1_qn_r https://erdosproblems.ai/wiki/library/irrationality/borwein_1991_irrationality_1_qn_r/theorem_4 https://erdosproblems.ai/wiki/library/irrationality/borwein_1992_irrationality_certain_series https://erdosproblems.ai/wiki/library/irrationality/borwein_1992_irrationality_certain_series/theorem_1 https://erdosproblems.ai/wiki/library/irrationality/borwein_1992_irrationality_certain_series/theorem_2 https://erdosproblems.ai/wiki/library/irrationality/campbell_2026_binary_digits_erdos_borwein_constant https://erdosproblems.ai/wiki/library/irrationality/cassels_1950_some_metrical_theorems_diophantine_approximation_i https://erdosproblems.ai/wiki/library/irrationality/chen_ruzsa_1999_irrationality_certain_series https://erdosproblems.ai/wiki/library/irrationality/crmaric_2025_irrationality_certain_super_polynomially_decaying_series https://erdosproblems.ai/wiki/library/irrationality/crmaric_2025_irrationality_certain_super_polynomially_decaying_series/lemma_4 https://erdosproblems.ai/wiki/library/irrationality/crmaric_2025_irrationality_certain_super_polynomially_decaying_series/theorem_1 https://erdosproblems.ai/wiki/library/irrationality/crmaric_2025_irrationality_certain_super_polynomially_decaying_series/theorem_2 https://erdosproblems.ai/wiki/library/irrationality/duverney_1993_proprietes_arithmetiques_serie_fonctions_theta https://erdosproblems.ai/wiki/library/irrationality/duverney_1993_proprietes_arithmetiques_serie_fonctions_theta/theoreme_2 https://erdosproblems.ai/wiki/library/irrationality/duverney_1995_irrationalite_q_analogue_zeta_2 https://erdosproblems.ai/wiki/library/irrationality/duverney_1995_irrationalite_q_analogue_zeta_2/evidence https://erdosproblems.ai/wiki/library/irrationality/duverney_1995_irrationalite_q_analogue_zeta_2/evidence/verify https://erdosproblems.ai/wiki/library/irrationality/duverney_1995_irrationalite_q_analogue_zeta_2/evidence/verify/reconstruction_grade https://erdosproblems.ai/wiki/library/irrationality/duverney_1995_irrationalite_q_analogue_zeta_2/evidence/verify/reconstruction_review https://erdosproblems.ai/wiki/library/irrationality/duverney_1995_irrationalite_q_analogue_zeta_2/evidence/verify/statement_fidelity https://erdosproblems.ai/wiki/library/irrationality/duverney_1995_irrationalite_q_analogue_zeta_2/lemme https://erdosproblems.ai/wiki/library/irrationality/duverney_1995_irrationalite_q_analogue_zeta_2/theoreme https://erdosproblems.ai/wiki/library/irrationality/duverney_2001_irrationality_fast_converging_series_rational_numbers https://erdosproblems.ai/wiki/library/irrationality/duverney_2001_irrationality_fast_converging_series_rational_numbers/corollary_3_2 https://erdosproblems.ai/wiki/library/irrationality/duverney_2001_irrationality_fast_converging_series_rational_numbers/theorem_3_1 https://erdosproblems.ai/wiki/library/irrationality/duverney_2001_irrationality_fast_converging_series_rational_numbers/theorem_3_2 https://erdosproblems.ai/wiki/library/irrationality/duverney_tachiya_2019_refinement_chowla_erdos_method_linear_independence_certain_lambert_series https://erdosproblems.ai/wiki/library/irrationality/duverney_tachiya_2019_refinement_chowla_erdos_method_linear_independence_certain_lambert_series/corollary_1_1 https://erdosproblems.ai/wiki/library/irrationality/duverney_tachiya_2019_refinement_chowla_erdos_method_linear_independence_certain_lambert_series/corollary_1_2 https://erdosproblems.ai/wiki/library/irrationality/duverney_tachiya_2019_refinement_chowla_erdos_method_linear_independence_certain_lambert_series/lemma_4_1 https://erdosproblems.ai/wiki/library/irrationality/duverney_tachiya_2019_refinement_chowla_erdos_method_linear_independence_certain_lambert_series/theorem_1_1 https://erdosproblems.ai/wiki/library/irrationality/duverney_tachiya_2019_refinement_chowla_erdos_method_linear_independence_certain_lambert_series/theorem_1_2 https://erdosproblems.ai/wiki/library/irrationality/einsiedler_2006_invariant_measures_set_exceptions_littlewood_s https://erdosproblems.ai/wiki/library/irrationality/einsiedler_2006_invariant_measures_set_exceptions_littlewood_s/conjecture_1_2 https://erdosproblems.ai/wiki/library/irrationality/einsiedler_2006_invariant_measures_set_exceptions_littlewood_s/corollary_1_4 https://erdosproblems.ai/wiki/library/irrationality/einsiedler_2006_invariant_measures_set_exceptions_littlewood_s/proposition_11_1 https://erdosproblems.ai/wiki/library/irrationality/einsiedler_2006_invariant_measures_set_exceptions_littlewood_s/theorem_10_1 https://erdosproblems.ai/wiki/library/irrationality/einsiedler_2006_invariant_measures_set_exceptions_littlewood_s/theorem_1_3 https://erdosproblems.ai/wiki/library/irrationality/einsiedler_2006_invariant_measures_set_exceptions_littlewood_s/theorem_1_5 https://erdosproblems.ai/wiki/library/irrationality/einsiedler_2006_invariant_measures_set_exceptions_littlewood_s/theorem_1_6 https://erdosproblems.ai/wiki/library/irrationality/einsiedler_2006_invariant_measures_set_exceptions_littlewood_s/theorem_2_1 https://erdosproblems.ai/wiki/library/irrationality/erdos_1948_arithmetical_properties_lambert_series https://erdosproblems.ai/wiki/library/irrationality/erdos_1957_irrationality_certain_series https://erdosproblems.ai/wiki/library/irrationality/erdos_1957_irrationality_certain_series/lemma_1 https://erdosproblems.ai/wiki/library/irrationality/erdos_1957_irrationality_certain_series/lemma_4 https://erdosproblems.ai/wiki/library/irrationality/erdos_1957_irrationality_certain_series/remark_p212 https://erdosproblems.ai/wiki/library/irrationality/erdos_1957_irrationality_certain_series/remark_p213 https://erdosproblems.ai/wiki/library/irrationality/erdos_1957_irrationality_certain_series/theorem_1 https://erdosproblems.ai/wiki/library/irrationality/erdos_1957_irrationality_certain_series/theorem_2 https://erdosproblems.ai/wiki/library/irrationality/erdos_1958_remarks_theory_diophantine_approximation https://erdosproblems.ai/wiki/library/irrationality/erdos_1958_sur_certaines_series_valeur_irrationnelle_french https://erdosproblems.ai/wiki/library/irrationality/erdos_1958_sur_certaines_series_valeur_irrationnelle_french/density_lemma https://erdosproblems.ai/wiki/library/irrationality/erdos_1958_sur_certaines_series_valeur_irrationnelle_french/main_theorem https://erdosproblems.ai/wiki/library/irrationality/erdos_1958_sur_certaines_series_valeur_irrationnelle_french/proposition_p95 https://erdosproblems.ai/wiki/library/irrationality/erdos_1958_sur_certaines_series_valeur_irrationnelle_french/remark_p94 https://erdosproblems.ai/wiki/library/irrationality/erdos_1958_sur_certaines_series_valeur_irrationnelle_french/theorem_section_3 https://erdosproblems.ai/wiki/library/irrationality/erdos_1964_irrationality_certain_ahmes_series https://erdosproblems.ai/wiki/library/irrationality/erdos_1964_irrationality_certain_ahmes_series/example_1 https://erdosproblems.ai/wiki/library/irrationality/erdos_1964_irrationality_certain_ahmes_series/examples_p131 https://erdosproblems.ai/wiki/library/irrationality/erdos_1964_irrationality_certain_ahmes_series/theorem_1 https://erdosproblems.ai/wiki/library/irrationality/erdos_1964_irrationality_certain_ahmes_series/theorem_2 https://erdosproblems.ai/wiki/library/irrationality/erdos_1964_irrationality_certain_ahmes_series/theorem_3 https://erdosproblems.ai/wiki/library/irrationality/erdos_1969_irrationality_certain_series https://erdosproblems.ai/wiki/library/irrationality/erdos_1969_irrationality_certain_series/theorem_p222 https://erdosproblems.ai/wiki/library/irrationality/erdos_1971_number_theoretic_results https://erdosproblems.ai/wiki/library/irrationality/erdos_1971_number_theoretic_results/conjecture_2_24 https://erdosproblems.ai/wiki/library/irrationality/erdos_1971_number_theoretic_results/lemma_2_14 https://erdosproblems.ai/wiki/library/irrationality/erdos_1971_number_theoretic_results/lemma_2_17 https://erdosproblems.ai/wiki/library/irrationality/erdos_1971_number_theoretic_results/lemma_2_2 https://erdosproblems.ai/wiki/library/irrationality/erdos_1971_number_theoretic_results/theorem_1_7 https://erdosproblems.ai/wiki/library/irrationality/erdos_1971_number_theoretic_results/theorem_2_23 https://erdosproblems.ai/wiki/library/irrationality/erdos_1971_number_theoretic_results/theorem_2_26 https://erdosproblems.ai/wiki/library/irrationality/erdos_1974_irrationality_certain_series https://erdosproblems.ai/wiki/library/irrationality/erdos_1974_irrationality_certain_series/corollary_2_10 https://erdosproblems.ai/wiki/library/irrationality/erdos_1974_irrationality_certain_series/theorem_2_1 https://erdosproblems.ai/wiki/library/irrationality/erdos_1974_irrationality_certain_series/theorem_3_1 https://erdosproblems.ai/wiki/library/irrationality/erdos_1974_irrationality_certain_series/theorem_3_7 https://erdosproblems.ai/wiki/library/irrationality/erdos_1976_problems_results_irrationality_sum_infinite_series https://erdosproblems.ai/wiki/library/irrationality/erdos_1976_problems_results_irrationality_sum_infinite_series/question_p2 https://erdosproblems.ai/wiki/library/irrationality/erdos_1976_problems_results_irrationality_sum_infinite_series/theorem_1 https://erdosproblems.ai/wiki/library/irrationality/erdos_1976_problems_results_irrationality_sum_infinite_series/theorem_2 https://erdosproblems.ai/wiki/library/irrationality/erdos_1976_problems_results_irrationality_sum_infinite_series/theorem_3 https://erdosproblems.ai/wiki/library/irrationality/erdos_1981_sur_l_irrationalite_d_une_certaine https://erdosproblems.ai/wiki/library/irrationality/erdos_1981_sur_l_irrationalite_d_une_certaine/conjecture_p765 https://erdosproblems.ai/wiki/library/irrationality/erdos_1981_sur_l_irrationalite_d_une_certaine/remark_p768 https://erdosproblems.ai/wiki/library/irrationality/erdos_1981_sur_l_irrationalite_d_une_certaine/theorem_p765 https://erdosproblems.ai/wiki/library/irrationality/erdos_1988_irrationality_certain_series_problems_results https://erdosproblems.ai/wiki/library/irrationality/erdos_1988_irrationality_certain_series_problems_results/problem_p103 https://erdosproblems.ai/wiki/library/irrationality/friedlander_2007_irrationality_divisor_function_series https://erdosproblems.ai/wiki/library/irrationality/fruhwirth_2024_birkhoff_sums_that_satisfy_no_temporal https://erdosproblems.ai/wiki/library/irrationality/good_1974_reciprocal_series_fibonacci_numbers https://erdosproblems.ai/wiki/library/irrationality/good_1974_reciprocal_series_fibonacci_numbers/theorem_p346 https://erdosproblems.ai/wiki/library/irrationality/grepstad_lev_2014_bounded_discrepancy_rotation https://erdosproblems.ai/wiki/library/irrationality/grepstad_lev_2014_bounded_discrepancy_rotation/corollary_3 https://erdosproblems.ai/wiki/library/irrationality/grepstad_lev_2014_bounded_discrepancy_rotation/proposition_2_4 https://erdosproblems.ai/wiki/library/irrationality/grepstad_lev_2014_bounded_discrepancy_rotation/theorem_1 https://erdosproblems.ai/wiki/library/irrationality/grepstad_lev_2014_bounded_discrepancy_rotation/theorem_2 https://erdosproblems.ai/wiki/library/irrationality/grepstad_lev_2014_bounded_discrepancy_rotation/theorem_2_6 https://erdosproblems.ai/wiki/library/irrationality/grepstad_lev_2014_bounded_discrepancy_rotation/theorem_3 https://erdosproblems.ai/wiki/library/irrationality/grepstad_lev_2014_bounded_discrepancy_rotation/theorem_4 https://erdosproblems.ai/wiki/library/irrationality/grepstad_lev_2014_bounded_discrepancy_rotation/theorem_5 https://erdosproblems.ai/wiki/library/irrationality/grepstad_lev_2014_bounded_discrepancy_rotation/theorem_6 https://erdosproblems.ai/wiki/library/irrationality/hancl_1991_expression_real_numbers_help_infinite_series https://erdosproblems.ai/wiki/library/irrationality/hancl_2004_irrationality_cantor_series https://erdosproblems.ai/wiki/library/irrationality/hancl_2004_irrationality_cantor_series/algorithm_3_1 https://erdosproblems.ai/wiki/library/irrationality/hancl_2004_irrationality_cantor_series/corollary_4_2 https://erdosproblems.ai/wiki/library/irrationality/hancl_2004_irrationality_cantor_series/example_2_1 https://erdosproblems.ai/wiki/library/irrationality/hancl_2004_irrationality_cantor_series/example_3_1 https://erdosproblems.ai/wiki/library/irrationality/hancl_2004_irrationality_cantor_series/theorem_3_1 https://erdosproblems.ai/wiki/library/irrationality/hancl_2004_irrationality_cantor_series/theorem_3_2 https://erdosproblems.ai/wiki/library/irrationality/hancl_2004_irrationality_cantor_series/theorem_5_1 https://erdosproblems.ai/wiki/library/irrationality/hancl_2004_irrationality_cantor_series/theorem_5_2 https://erdosproblems.ai/wiki/library/irrationality/hancl_2004_irrationality_cantor_series/theorem_6_1 https://erdosproblems.ai/wiki/library/irrationality/hancl_2004_irrationality_cantor_series/theorem_6_2 https://erdosproblems.ai/wiki/library/irrationality/hancl_2005_irrationality_factorial_series https://erdosproblems.ai/wiki/library/irrationality/hancl_2005_irrationality_factorial_series/corollary_3_1 https://erdosproblems.ai/wiki/library/irrationality/hancl_2005_irrationality_factorial_series/corollary_3_4 https://erdosproblems.ai/wiki/library/irrationality/hancl_2005_irrationality_factorial_series/corollary_3_5 https://erdosproblems.ai/wiki/library/irrationality/hancl_2005_irrationality_factorial_series/corollary_4_1 https://erdosproblems.ai/wiki/library/irrationality/hancl_2005_irrationality_factorial_series/theorem_3_1 https://erdosproblems.ai/wiki/library/irrationality/hancl_2005_irrationality_factorial_series/theorem_3_2 https://erdosproblems.ai/wiki/library/irrationality/hancl_2005_irrationality_factorial_series/theorem_3_3 https://erdosproblems.ai/wiki/library/irrationality/hancl_2005_irrationality_factorial_series/theorem_3_4 https://erdosproblems.ai/wiki/library/irrationality/hancl_2005_irrationality_factorial_series/theorem_3_5 https://erdosproblems.ai/wiki/library/irrationality/hancl_2005_irrationality_factorial_series/theorem_4_1 https://erdosproblems.ai/wiki/library/irrationality/hancl_2010_irrationality_factorial_series_ii https://erdosproblems.ai/wiki/library/irrationality/hancl_2010_irrationality_factorial_series_ii/corollary_3_2 https://erdosproblems.ai/wiki/library/irrationality/hancl_2010_irrationality_factorial_series_ii/theorem_3_1 https://erdosproblems.ai/wiki/library/irrationality/hancl_2010_irrationality_factorial_series_ii/theorem_3_2 https://erdosproblems.ai/wiki/library/irrationality/hancl_2010_irrationality_factorial_series_ii/theorem_3_3 https://erdosproblems.ai/wiki/library/irrationality/hancl_2010_irrationality_factorial_series_ii/theorem_4_1 https://erdosproblems.ai/wiki/library/irrationality/hancl_2010_irrationality_factorial_series_ii/theorem_4_2 https://erdosproblems.ai/wiki/library/irrationality/hancl_2010_irrationality_factorial_series_ii/theorem_4_3 https://erdosproblems.ai/wiki/library/irrationality/hoggattjr_1976_reciprocal_series_fibonacci_numbers_subscripts https://erdosproblems.ai/wiki/library/irrationality/hoggattjr_1976_reciprocal_series_fibonacci_numbers_subscripts/theorem_p455 https://erdosproblems.ai/wiki/library/irrationality/kaneko_2026_refinements_erdos_s_irrationality_criterion_certain https://erdosproblems.ai/wiki/library/irrationality/kaneko_2026_refinements_erdos_s_irrationality_criterion_certain/corollary_2 https://erdosproblems.ai/wiki/library/irrationality/kaneko_2026_refinements_erdos_s_irrationality_criterion_certain/corollary_3 https://erdosproblems.ai/wiki/library/irrationality/kaneko_2026_refinements_erdos_s_irrationality_criterion_certain/theorem_1 https://erdosproblems.ai/wiki/library/irrationality/kaneko_2026_refinements_erdos_s_irrationality_criterion_certain/theorem_2 https://erdosproblems.ai/wiki/library/irrationality/kaneko_2026_refinements_erdos_s_irrationality_criterion_certain/theorem_3 https://erdosproblems.ai/wiki/library/irrationality/kesten_1960_uniform_distribution_mod_1 https://erdosproblems.ai/wiki/library/irrationality/kesten_1966_two_problems_erdos_szusz_turan https://erdosproblems.ai/wiki/library/irrationality/koukoulopoulos_2020_duffin_schaeffer_conjecture https://erdosproblems.ai/wiki/library/irrationality/koukoulopoulos_2020_duffin_schaeffer_conjecture/corollary_3 https://erdosproblems.ai/wiki/library/irrationality/koukoulopoulos_2020_duffin_schaeffer_conjecture/theorem_1 https://erdosproblems.ai/wiki/library/irrationality/koukoulopoulos_2020_duffin_schaeffer_conjecture/theorem_2 https://erdosproblems.ai/wiki/library/irrationality/kovac_2024_several_irrationality_problems_ahmes_series https://erdosproblems.ai/wiki/library/irrationality/kovac_2026_erdos_problem_251 https://erdosproblems.ai/wiki/library/irrationality/kovac_2026_erdos_problem_251/theorem_1 https://erdosproblems.ai/wiki/library/irrationality/land_2026_conditional_proof_irrationality_prime_series https://erdosproblems.ai/wiki/library/irrationality/land_2026_conditional_proof_irrationality_prime_series/theorem_2 https://erdosproblems.ai/wiki/library/irrationality/laursen_2024_transcendence_certain_sequences_algebraic_numbers https://erdosproblems.ai/wiki/library/irrationality/margulis_1989_indefinite_quadratic_forms_unipotent_flows https://erdosproblems.ai/wiki/library/irrationality/margulis_1989_indefinite_quadratic_forms_unipotent_flows/theorem_1_e0496_companion https://erdosproblems.ai/wiki/library/irrationality/nesterenko_1996_modular_functions_transcendence_questions https://erdosproblems.ai/wiki/library/irrationality/nesterenko_1996_modular_functions_transcendence_questions/corollary_2 https://erdosproblems.ai/wiki/library/irrationality/nesterenko_1996_modular_functions_transcendence_questions/corollary_5 https://erdosproblems.ai/wiki/library/irrationality/nesterenko_1996_modular_functions_transcendence_questions/theorem_1 https://erdosproblems.ai/wiki/library/irrationality/nesterenko_1996_modular_functions_transcendence_questions/theorem_2 https://erdosproblems.ai/wiki/library/irrationality/nesterenko_1996_modular_functions_transcendence_questions/theorem_3 https://erdosproblems.ai/wiki/library/irrationality/nguyen_2022_transcendental_series_reciprocals_fibonacci_lucas_numbers https://erdosproblems.ai/wiki/library/irrationality/nguyen_2022_transcendental_series_reciprocals_fibonacci_lucas_numbers/theorem_1_2 https://erdosproblems.ai/wiki/library/irrationality/nguyen_2022_transcendental_series_reciprocals_fibonacci_lucas_numbers/theorem_1_3 https://erdosproblems.ai/wiki/library/irrationality/openai_2026_weak_inhomogeneous_duffin_schaeffer_conjecture https://erdosproblems.ai/wiki/library/irrationality/openai_2026_weak_inhomogeneous_duffin_schaeffer_conjecture/corollary_1_2 https://erdosproblems.ai/wiki/library/irrationality/openai_2026_weak_inhomogeneous_duffin_schaeffer_conjecture/theorem_1_1 https://erdosproblems.ai/wiki/library/irrationality/ostrowski_1927_mathematische_miszellen https://erdosproblems.ai/wiki/library/irrationality/ostrowski_1927_mathematische_miszellen/equation_3 https://erdosproblems.ai/wiki/library/irrationality/ostrowski_1927_mathematische_miszellen/evidence https://erdosproblems.ai/wiki/library/irrationality/ostrowski_1927_mathematische_miszellen/evidence/verify https://erdosproblems.ai/wiki/library/irrationality/ostrowski_1927_mathematische_miszellen/evidence/verify/translated_interval_review https://erdosproblems.ai/wiki/library/irrationality/ostrowski_1930_mathematische_miszellen https://erdosproblems.ai/wiki/library/irrationality/ostrowski_1930_mathematische_miszellen/equation_4 https://erdosproblems.ai/wiki/library/irrationality/ostrowski_1930_mathematische_miszellen/satz_i https://erdosproblems.ai/wiki/library/irrationality/ostrowski_1930_mathematische_miszellen/satz_ii https://erdosproblems.ai/wiki/library/irrationality/peres_2010_two_erdos_problems_lacunary_sequences_chromatic https://erdosproblems.ai/wiki/library/irrationality/peres_2010_two_erdos_problems_lacunary_sequences_chromatic/theorem_1_1 https://erdosproblems.ai/wiki/library/irrationality/postelmans_2007_irrationality_zeta_q_1_zeta_q_2 https://erdosproblems.ai/wiki/library/irrationality/postelmans_2007_irrationality_zeta_q_1_zeta_q_2/theorem_1_1 https://erdosproblems.ai/wiki/library/irrationality/postelmans_2007_irrationality_zeta_q_1_zeta_q_2/theorem_1_2 https://erdosproblems.ai/wiki/library/irrationality/postelmans_2007_irrationality_zeta_q_1_zeta_q_2/theorem_1_3 https://erdosproblems.ai/wiki/library/irrationality/pratt_2022_irrationality_divisor_function_series_erdos_kac https://erdosproblems.ai/wiki/library/irrationality/pratt_2022_irrationality_divisor_function_series_erdos_kac/theorem_1 https://erdosproblems.ai/wiki/library/irrationality/pratt_2024_irrationality_prime_factor_series_under_prime https://erdosproblems.ai/wiki/library/irrationality/pratt_2024_irrationality_prime_factor_series_under_prime/conjecture_1_2 https://erdosproblems.ai/wiki/library/irrationality/pratt_2024_irrationality_prime_factor_series_under_prime/proposition_2_1 https://erdosproblems.ai/wiki/library/irrationality/pratt_2024_irrationality_prime_factor_series_under_prime/theorem_1_3 https://erdosproblems.ai/wiki/library/irrationality/ringer_2026_local_gap_statistics_telescoping_normality https://erdosproblems.ai/wiki/library/irrationality/ringer_2026_local_gap_statistics_telescoping_normality/corollary_1_2 https://erdosproblems.ai/wiki/library/irrationality/ringer_2026_local_gap_statistics_telescoping_normality/theorem_1_1 https://erdosproblems.ai/wiki/library/irrationality/schlagepuchta_2006_irrationality_number_theoretical_series https://erdosproblems.ai/wiki/library/irrationality/schlagepuchta_2006_irrationality_number_theoretical_series/lemma_p2 https://erdosproblems.ai/wiki/library/irrationality/schlagepuchta_2006_irrationality_number_theoretical_series/theorem_p1 https://erdosproblems.ai/wiki/library/irrationality/schlagepuchta_2011_irrationality_number_theoretical_series https://erdosproblems.ai/wiki/library/irrationality/schlagepuchta_2011_irrationality_number_theoretical_series/lemma_4 https://erdosproblems.ai/wiki/library/irrationality/schlagepuchta_2011_irrationality_number_theoretical_series/theorem_1 https://erdosproblems.ai/wiki/library/irrationality/schlagepuchta_2011_irrationality_number_theoretical_series/theorem_2 https://erdosproblems.ai/wiki/library/irrationality/schlagepuchta_2011_irrationality_number_theoretical_series/theorem_3 https://erdosproblems.ai/wiki/library/irrationality/smet_2009_irrationality_proof_q_extension_zeta_2 https://erdosproblems.ai/wiki/library/irrationality/smet_2009_irrationality_proof_q_extension_zeta_2/theorem_1_1 https://erdosproblems.ai/wiki/library/irrationality/tijdeman_2002_rationality_cantor_ahmes_series https://erdosproblems.ai/wiki/library/irrationality/tijdeman_2002_rationality_cantor_ahmes_series/corollary_4_1 https://erdosproblems.ai/wiki/library/irrationality/tijdeman_2002_rationality_cantor_ahmes_series/corollary_4_2 https://erdosproblems.ai/wiki/library/irrationality/tijdeman_2002_rationality_cantor_ahmes_series/proposition_4_1 https://erdosproblems.ai/wiki/library/irrationality/tijdeman_2002_rationality_cantor_ahmes_series/theorem_2_1 https://erdosproblems.ai/wiki/library/irrationality/tijdeman_2002_rationality_cantor_ahmes_series/theorem_3_1 https://erdosproblems.ai/wiki/library/irrationality/tijdeman_2002_rationality_cantor_ahmes_series/theorem_4_1 https://erdosproblems.ai/wiki/library/irrationality/tijdeman_2002_rationality_cantor_ahmes_series/theorem_4_3 https://erdosproblems.ai/wiki/library/irrationality/tijdeman_2002_rationality_cantor_ahmes_series/theorem_5_1 https://erdosproblems.ai/wiki/library/irrationality/tokengrinder_2026_erdos_252_irrationality_factorial_divisor_sum https://erdosproblems.ai/wiki/library/irrationality/tokengrinder_2026_erdos_252_irrationality_factorial_divisor_sum/erdos_252 https://erdosproblems.ai/wiki/library/irrationality/tokengrinder_2026_erdos_252_irrationality_factorial_divisor_sum/evidence https://erdosproblems.ai/wiki/library/irrationality/tokengrinder_2026_erdos_252_irrationality_factorial_divisor_sum/evidence/verify https://erdosproblems.ai/wiki/library/irrationality/tokengrinder_2026_erdos_252_irrationality_factorial_divisor_sum/evidence/verify/build_report https://erdosproblems.ai/wiki/library/irrationality/tokengrinder_2026_erdos_252_irrationality_factorial_divisor_sum/evidence/verify/fidelity_grade_fresh https://erdosproblems.ai/wiki/library/irrationality/tokengrinder_2026_erdos_252_irrationality_factorial_divisor_sum/evidence/verify/fidelity_grade_r3 https://erdosproblems.ai/wiki/library/irrationality/tokengrinder_2026_erdos_252_irrationality_factorial_divisor_sum/evidence/verify/fidelity_review https://erdosproblems.ai/wiki/library/irrationality/tokengrinder_2026_erdos_252_irrationality_factorial_divisor_sum/evidence/verify/fidelity_review_fresh https://erdosproblems.ai/wiki/library/irrationality/tokengrinder_2026_erdos_252_irrationality_factorial_divisor_sum/evidence/verify/fidelity_review_r3 https://erdosproblems.ai/wiki/library/irrationality/tokengrinder_2026_erdos_252_irrationality_factorial_divisor_sum/evidence/verify/grade https://erdosproblems.ai/wiki/library/irrationality/tokengrinder_2026_erdos_252_irrationality_factorial_divisor_sum/tokengrinder_2026_erdos_252_irrationality_factorial_divisor_sum https://erdosproblems.ai/wiki/library/irrationality/vandehey_2012_incomplete_argument_erdos_irrationality_lambert_series https://erdosproblems.ai/wiki/library/irrationality/vandehey_2012_incomplete_argument_erdos_irrationality_lambert_series/theorem_1_1 https://erdosproblems.ai/wiki/library/irrationality/vandehey_2012_incomplete_argument_erdos_irrationality_lambert_series/theorem_1_2 https://erdosproblems.ai/wiki/library/irrationality/waldschmidt_1997_nature_arithmetique_valeurs_fonctions_modulaires https://erdosproblems.ai/wiki/library/irrationality/waldschmidt_1997_nature_arithmetique_valeurs_fonctions_modulaires/theoreme_4 https://erdosproblems.ai/wiki/library/irrationality/wang_2026_positive_dyadic_density_rational_weighted_binary https://erdosproblems.ai/wiki/library/irrationality/xiong_2006_problem_erdos_szusz_turan_diophantine https://erdosproblems.ai/wiki/library/irrationality/zudilin_2002_irrationality_measure_q_analogue_zeta_2 https://erdosproblems.ai/wiki/library/irrationality/zudilin_2002_irrationality_measure_q_analogue_zeta_2/theorem https://erdosproblems.ai/wiki/library/number_theory https://erdosproblems.ai/wiki/library/number_theory/alexeev_2026_short_proofs_combinatorics_number_theory https://erdosproblems.ai/wiki/library/number_theory/alexeev_2026_short_proofs_combinatorics_number_theory/theorem_2_1 https://erdosproblems.ai/wiki/library/number_theory/alexeev_2026_short_proofs_combinatorics_number_theory/theorem_3_1 https://erdosproblems.ai/wiki/library/number_theory/alexeev_2026_short_proofs_combinatorics_number_theory/theorem_4_1 https://erdosproblems.ai/wiki/library/number_theory/alexeev_2026_short_proofs_combinatorics_number_theory/theorem_4_2 https://erdosproblems.ai/wiki/library/number_theory/applegate_lagarias_1995_density_bounds_1 https://erdosproblems.ai/wiki/library/number_theory/applegate_lagarias_1995_density_bounds_1/theorem_1_1 https://erdosproblems.ai/wiki/library/number_theory/applegate_lagarias_1995_density_bounds_1/theorem_1_2 https://erdosproblems.ai/wiki/library/number_theory/applegate_lagarias_1995_density_bounds_2 https://erdosproblems.ai/wiki/library/number_theory/applegate_lagarias_1995_density_bounds_2/theorem_1_1 https://erdosproblems.ai/wiki/library/number_theory/applegate_lagarias_1995_density_bounds_2/theorem_2_1 https://erdosproblems.ai/wiki/library/number_theory/banks_2007_prime_numbers_beatty_sequences https://erdosproblems.ai/wiki/library/number_theory/banks_2007_prime_numbers_beatty_sequences/theorem_5_1 https://erdosproblems.ai/wiki/library/number_theory/banks_2007_prime_numbers_beatty_sequences/theorem_5_4 https://erdosproblems.ai/wiki/library/number_theory/barina_2020_convergence_verification https://erdosproblems.ai/wiki/library/number_theory/barina_2020_convergence_verification/verification_p6 https://erdosproblems.ai/wiki/library/number_theory/barina_2025_improved_verification_limit_convergence_collatz https://erdosproblems.ai/wiki/library/number_theory/barina_2025_improved_verification_limit_convergence_collatz/section_6 https://erdosproblems.ai/wiki/library/number_theory/bell_lagarias_2014_genfun_natural_boundaries https://erdosproblems.ai/wiki/library/number_theory/bell_lagarias_2014_genfun_natural_boundaries/theorem_1_1 https://erdosproblems.ai/wiki/library/number_theory/bell_lagarias_2014_genfun_natural_boundaries/theorem_1_2 https://erdosproblems.ai/wiki/library/number_theory/bell_lagarias_2014_genfun_natural_boundaries/theorem_1_3 https://erdosproblems.ai/wiki/library/number_theory/bell_lagarias_2014_genfun_natural_boundaries/theorem_1_4 https://erdosproblems.ai/wiki/library/number_theory/bernstein_1994_noniterative_2adic https://erdosproblems.ai/wiki/library/number_theory/bernstein_1994_noniterative_2adic/conjecture_p1 https://erdosproblems.ai/wiki/library/number_theory/bernstein_1994_noniterative_2adic/corollary_1 https://erdosproblems.ai/wiki/library/number_theory/bernstein_1994_noniterative_2adic/corollary_2 https://erdosproblems.ai/wiki/library/number_theory/bernstein_1994_noniterative_2adic/theorem_1 https://erdosproblems.ai/wiki/library/number_theory/bernstein_1994_noniterative_2adic/theorem_2 https://erdosproblems.ai/wiki/library/number_theory/bernstein_1994_noniterative_2adic/theorem_3 https://erdosproblems.ai/wiki/library/number_theory/bernstein_lagarias_1996_conjugacy_map https://erdosproblems.ai/wiki/library/number_theory/bernstein_lagarias_1996_conjugacy_map/conjecture_p2 https://erdosproblems.ai/wiki/library/number_theory/bernstein_lagarias_1996_conjugacy_map/conjecture_p3 https://erdosproblems.ai/wiki/library/number_theory/bernstein_lagarias_1996_conjugacy_map/corollary_3_1a https://erdosproblems.ai/wiki/library/number_theory/bernstein_lagarias_1996_conjugacy_map/corollary_3_1b https://erdosproblems.ai/wiki/library/number_theory/bernstein_lagarias_1996_conjugacy_map/theorem_3_1 https://erdosproblems.ai/wiki/library/number_theory/bernstein_lagarias_1996_conjugacy_map/theorem_4_1 https://erdosproblems.ai/wiki/library/number_theory/bzdega_2010_bounds_ternary_cyclotomic_coefficients https://erdosproblems.ai/wiki/library/number_theory/canfield_1983_problem_oppenheim_factorisatio_numerorum https://erdosproblems.ai/wiki/library/number_theory/canfield_1983_problem_oppenheim_factorisatio_numerorum/corollary_p15 https://erdosproblems.ai/wiki/library/number_theory/canfield_1983_problem_oppenheim_factorisatio_numerorum/theorem_2_1 https://erdosproblems.ai/wiki/library/number_theory/canfield_1983_problem_oppenheim_factorisatio_numerorum/theorem_3_1 https://erdosproblems.ai/wiki/library/number_theory/canfield_1983_problem_oppenheim_factorisatio_numerorum/theorem_4_1 https://erdosproblems.ai/wiki/library/number_theory/canfield_1983_problem_oppenheim_factorisatio_numerorum/theorem_5_1 https://erdosproblems.ai/wiki/library/number_theory/canfield_1983_problem_oppenheim_factorisatio_numerorum/theorem_6_1 https://erdosproblems.ai/wiki/library/number_theory/canfield_1983_problem_oppenheim_factorisatio_numerorum/theorem_6_2 https://erdosproblems.ai/wiki/library/number_theory/chamberland_2003_update_survey https://erdosproblems.ai/wiki/library/number_theory/chamberland_2003_update_survey/conjecture_p2 https://erdosproblems.ai/wiki/library/number_theory/chamberland_2003_update_survey/section_2 https://erdosproblems.ai/wiki/library/number_theory/chamberland_2003_update_survey/section_2_3 https://erdosproblems.ai/wiki/library/number_theory/chamberland_2003_update_survey/section_5 https://erdosproblems.ai/wiki/library/number_theory/chamberland_2015_averaging_structure https://erdosproblems.ai/wiki/library/number_theory/chamberland_2015_averaging_structure/theorem_2_2 https://erdosproblems.ai/wiki/library/number_theory/chamberland_2015_averaging_structure/theorem_2_3 https://erdosproblems.ai/wiki/library/number_theory/chamberland_2015_averaging_structure/theorem_2_4 https://erdosproblems.ai/wiki/library/number_theory/chamberland_2015_averaging_structure/theorem_3_1 https://erdosproblems.ai/wiki/library/number_theory/chamberland_2015_averaging_structure/theorem_3_2 https://erdosproblems.ai/wiki/library/number_theory/chamberland_2015_averaging_structure/theorem_4_1 https://erdosproblems.ai/wiki/library/number_theory/chamberland_2015_averaging_structure/theorem_4_2 https://erdosproblems.ai/wiki/library/number_theory/christie_et_al_2020_classifying_minimal_vanishing_sums_roots_unity https://erdosproblems.ai/wiki/library/number_theory/christie_et_al_2020_classifying_minimal_vanishing_sums_roots_unity/proposition_2_3 https://erdosproblems.ai/wiki/library/number_theory/christie_et_al_2020_classifying_minimal_vanishing_sums_roots_unity/theorem_3_3 https://erdosproblems.ai/wiki/library/number_theory/chung_1981_irregularities_distribution_real_sequences https://erdosproblems.ai/wiki/library/number_theory/chung_1981_irregularities_distribution_real_sequences/theorem_1 https://erdosproblems.ai/wiki/library/number_theory/chung_1981_irregularities_distribution_real_sequences/theorem_2 https://erdosproblems.ai/wiki/library/number_theory/chung_1981_irregularities_distribution_real_sequences/theorem_3 https://erdosproblems.ai/wiki/library/number_theory/chung_1984_irregularities_distribution https://erdosproblems.ai/wiki/library/number_theory/chung_1984_irregularities_distribution/theorem_1 https://erdosproblems.ai/wiki/library/number_theory/chung_1984_irregularities_distribution/theorem_2 https://erdosproblems.ai/wiki/library/number_theory/cipollini_2026_optimality_van_doorn_upper_bound_mayer_erdos_farey https://erdosproblems.ai/wiki/library/number_theory/cipollini_2026_optimality_van_doorn_upper_bound_mayer_erdos_farey/theorem_1 https://erdosproblems.ai/wiki/library/number_theory/colliot_thelene_skorobogatov_2021_brauer_groups_schemes https://erdosproblems.ai/wiki/library/number_theory/colliot_thelene_skorobogatov_2021_brauer_groups_schemes/corollary_3_7_3 https://erdosproblems.ai/wiki/library/number_theory/colliot_thelene_skorobogatov_2021_brauer_groups_schemes/theorem_3_3_2 https://erdosproblems.ai/wiki/library/number_theory/colliot_thelene_skorobogatov_2021_brauer_groups_schemes/theorem_3_5_4 https://erdosproblems.ai/wiki/library/number_theory/colliot_thelene_skorobogatov_2021_brauer_groups_schemes/theorem_3_7_1 https://erdosproblems.ai/wiki/library/number_theory/colliot_thelene_skorobogatov_2021_brauer_groups_schemes/theorem_3_7_6 https://erdosproblems.ai/wiki/library/number_theory/colliot_thelene_skorobogatov_2021_comparing_two_brauer_groups_ii https://erdosproblems.ai/wiki/library/number_theory/colliot_thelene_skorobogatov_2021_comparing_two_brauer_groups_ii/corollary_4_4_5 https://erdosproblems.ai/wiki/library/number_theory/colliot_thelene_skorobogatov_2021_comparing_two_brauer_groups_ii/proposition_4_2_6 https://erdosproblems.ai/wiki/library/number_theory/colliot_thelene_skorobogatov_2021_comparing_two_brauer_groups_ii/theorem_4_3_10 https://erdosproblems.ai/wiki/library/number_theory/colliot_thelene_skorobogatov_2021_comparing_two_brauer_groups_ii/theorem_4_4_2 https://erdosproblems.ai/wiki/library/number_theory/conway_jones_1976_trigonometric_diophantine_equations_vanishing_sums_roots_unity https://erdosproblems.ai/wiki/library/number_theory/coppersmith_steinberg_2006_entry_sum_cyclotomic_arrays https://erdosproblems.ai/wiki/library/number_theory/croot_2004_sums_reciprocal_powers_modulo_prime https://erdosproblems.ai/wiki/library/number_theory/croot_2004_sums_reciprocal_powers_modulo_prime/theorem_2 https://erdosproblems.ai/wiki/library/number_theory/davenport_1963_theorem_uniform_distribution https://erdosproblems.ai/wiki/library/number_theory/davenport_1963_theorem_uniform_distribution/conjecture_p3 https://erdosproblems.ai/wiki/library/number_theory/davenport_1963_theorem_uniform_distribution/theorem https://erdosproblems.ai/wiki/library/number_theory/davenport_leveque_1963_uniform_distribution_relative_fixed_sequence https://erdosproblems.ai/wiki/library/number_theory/davenport_leveque_1963_uniform_distribution_relative_fixed_sequence/theorem https://erdosproblems.ai/wiki/library/number_theory/de_mathan_1980_numbers_contravening_condition_density_modulo_1 https://erdosproblems.ai/wiki/library/number_theory/de_mathan_1980_numbers_contravening_condition_density_modulo_1/corollary_1 https://erdosproblems.ai/wiki/library/number_theory/de_mathan_1980_numbers_contravening_condition_density_modulo_1/corollary_2 https://erdosproblems.ai/wiki/library/number_theory/de_mathan_1980_numbers_contravening_condition_density_modulo_1/theorem_1 https://erdosproblems.ai/wiki/library/number_theory/doorn_2025_improved_bounds_mayer_erdos_phenomenon_similarly https://erdosproblems.ai/wiki/library/number_theory/doorn_2025_improved_bounds_mayer_erdos_phenomenon_similarly/lemma_2 https://erdosproblems.ai/wiki/library/number_theory/doorn_2025_improved_bounds_mayer_erdos_phenomenon_similarly/theorem_1 https://erdosproblems.ai/wiki/library/number_theory/doorn_2025_improved_bounds_mayer_erdos_phenomenon_similarly/theorem_2 https://erdosproblems.ai/wiki/library/number_theory/doorn_2025_improved_bounds_mayer_erdos_phenomenon_similarly/theorem_3 https://erdosproblems.ai/wiki/library/number_theory/dubickas_2006_fractional_parts_lacunary_sequences https://erdosproblems.ai/wiki/library/number_theory/dubickas_2006_fractional_parts_lacunary_sequences/theorem_1 https://erdosproblems.ai/wiki/library/number_theory/elliott_1969_conjecture_erdos_concerning_character_sums https://erdosproblems.ai/wiki/library/number_theory/elliott_1969_conjecture_erdos_concerning_character_sums/theorem_p165 https://erdosproblems.ai/wiki/library/number_theory/elman_karpenko_merkurjev_2008_algebraic_geometric_theory_quadratic_forms https://erdosproblems.ai/wiki/library/number_theory/elman_karpenko_merkurjev_2008_algebraic_geometric_theory_quadratic_forms/corollary_18_5 https://erdosproblems.ai/wiki/library/number_theory/elman_karpenko_merkurjev_2008_algebraic_geometric_theory_quadratic_forms/theorem_17_12 https://erdosproblems.ai/wiki/library/number_theory/elman_karpenko_merkurjev_2008_algebraic_geometric_theory_quadratic_forms/theorem_17_14 https://erdosproblems.ai/wiki/library/number_theory/elman_karpenko_merkurjev_2008_algebraic_geometric_theory_quadratic_forms/theorem_17_3 https://erdosproblems.ai/wiki/library/number_theory/elman_karpenko_merkurjev_2008_algebraic_geometric_theory_quadratic_forms/theorem_18_10 https://erdosproblems.ai/wiki/library/number_theory/elman_karpenko_merkurjev_2008_algebraic_geometric_theory_quadratic_forms/theorem_18_3 https://erdosproblems.ai/wiki/library/number_theory/erdos_1943_note_farey_series https://erdosproblems.ai/wiki/library/number_theory/erdos_1943_note_farey_series/theorem https://erdosproblems.ai/wiki/library/number_theory/erdos_1961_unsolved_problems https://erdosproblems.ai/wiki/library/number_theory/erdos_1961_unsolved_problems/conjecture_p239 https://erdosproblems.ai/wiki/library/number_theory/erdos_1965_recent_advances_current_problems_number_theory https://erdosproblems.ai/wiki/library/number_theory/erdos_1965_recent_advances_current_problems_number_theory/display_29 https://erdosproblems.ai/wiki/library/number_theory/erdos_1965_recent_advances_current_problems_number_theory/display_30 https://erdosproblems.ai/wiki/library/number_theory/erdos_1965_recent_advances_current_problems_number_theory/display_69 https://erdosproblems.ai/wiki/library/number_theory/erdos_1965_recent_advances_current_problems_number_theory/display_74 https://erdosproblems.ai/wiki/library/number_theory/erdos_1966_szamelmeleti_megjegyzesek https://erdosproblems.ai/wiki/library/number_theory/erdos_1966_szamelmeleti_megjegyzesek/item_6 https://erdosproblems.ai/wiki/library/number_theory/erdos_1966_szamelmeleti_megjegyzesek/section_1_11 https://erdosproblems.ai/wiki/library/number_theory/erdos_1974_remarks_problems_number_theory https://erdosproblems.ai/wiki/library/number_theory/erdos_1974_remarks_problems_number_theory/equation_3 https://erdosproblems.ai/wiki/library/number_theory/erdos_1974_remarks_problems_number_theory/lemma_p199 https://erdosproblems.ai/wiki/library/number_theory/erdos_1974_remarks_problems_number_theory/remark_p199 https://erdosproblems.ai/wiki/library/number_theory/erdos_1974_remarks_problems_number_theory/remark_p200 https://erdosproblems.ai/wiki/library/number_theory/erdos_1974_remarks_problems_number_theory/remark_p201 https://erdosproblems.ai/wiki/library/number_theory/erdos_1974_remarks_problems_number_theory/threshold_comparison https://erdosproblems.ai/wiki/library/number_theory/erdos_1975_problems_results_diophantine_approximations_ii https://erdosproblems.ai/wiki/library/number_theory/erdos_1975_problems_results_diophantine_approximations_ii/question_p96_generalized_progression https://erdosproblems.ai/wiki/library/number_theory/erdos_1975_problems_results_diophantine_approximations_ii/question_p96_lacunary_density https://erdosproblems.ai/wiki/library/number_theory/erdos_1979_unconventional_problems_number_theory_math_mag https://erdosproblems.ai/wiki/library/number_theory/erdos_1980_old_new_problems_results_combinatorial_number_theory https://erdosproblems.ai/wiki/library/number_theory/erdos_1980_survey_problems_combinatorial_number_theory https://erdosproblems.ai/wiki/library/number_theory/erdos_1982_some_new_problems_results_number_theory https://erdosproblems.ai/wiki/library/number_theory/erdos_1982_some_new_problems_results_number_theory/claim_p54 https://erdosproblems.ai/wiki/library/number_theory/erdos_1982_some_new_problems_results_number_theory/conjecture_p55 https://erdosproblems.ai/wiki/library/number_theory/erdos_1982_some_new_problems_results_number_theory/construction_p57 https://erdosproblems.ai/wiki/library/number_theory/erdos_1982_some_new_problems_results_number_theory/lemma_p53 https://erdosproblems.ai/wiki/library/number_theory/erdos_1990_characterization_unique_expansions_related_problems https://erdosproblems.ai/wiki/library/number_theory/erdos_1990_characterization_unique_expansions_related_problems/problem_4 https://erdosproblems.ai/wiki/library/number_theory/erdos_1990_characterization_unique_expansions_related_problems/theorem_1 https://erdosproblems.ai/wiki/library/number_theory/erdos_1990_characterization_unique_expansions_related_problems/theorem_2 https://erdosproblems.ai/wiki/library/number_theory/erdos_1990_characterization_unique_expansions_related_problems/theorem_3 https://erdosproblems.ai/wiki/library/number_theory/erdos_1990_characterization_unique_expansions_related_problems/theorem_4 https://erdosproblems.ai/wiki/library/number_theory/erdos_1995_my_favourite_problems_number_theory_combinatorics https://erdosproblems.ai/wiki/library/number_theory/erdos_1996_pisot_numbers https://erdosproblems.ai/wiki/library/number_theory/erdos_1996_pisot_numbers/theorem https://erdosproblems.ai/wiki/library/number_theory/erdos_1998_sequence_numbers_form_sums_powers_q https://erdosproblems.ai/wiki/library/number_theory/erdos_1998_sequence_numbers_form_sums_powers_q/theorem_4 https://erdosproblems.ai/wiki/library/number_theory/erdos_1998_sequence_numbers_form_sums_powers_q/theorem_5 https://erdosproblems.ai/wiki/library/number_theory/erdos_komornik_1998_developments_non_integer_bases https://erdosproblems.ai/wiki/library/number_theory/erdos_komornik_1998_developments_non_integer_bases/theorem_i https://erdosproblems.ai/wiki/library/number_theory/erdos_komornik_1998_developments_non_integer_bases/theorem_ii https://erdosproblems.ai/wiki/library/number_theory/erdos_komornik_1998_developments_non_integer_bases/theorem_iii https://erdosproblems.ai/wiki/library/number_theory/erdos_komornik_1998_developments_non_integer_bases/theorem_iv https://erdosproblems.ai/wiki/library/number_theory/erdos_komornik_1998_developments_non_integer_bases/theorem_v https://erdosproblems.ai/wiki/library/number_theory/feng_2016_topology_polynomials_bounded_integer_coefficients https://erdosproblems.ai/wiki/library/number_theory/feng_2016_topology_polynomials_bounded_integer_coefficients/corollary_1_3 https://erdosproblems.ai/wiki/library/number_theory/feng_2016_topology_polynomials_bounded_integer_coefficients/corollary_1_7 https://erdosproblems.ai/wiki/library/number_theory/feng_2016_topology_polynomials_bounded_integer_coefficients/theorem_1_11 https://erdosproblems.ai/wiki/library/number_theory/feng_2016_topology_polynomials_bounded_integer_coefficients/theorem_1_2 https://erdosproblems.ai/wiki/library/number_theory/feng_2016_topology_polynomials_bounded_integer_coefficients/theorem_1_4 https://erdosproblems.ai/wiki/library/number_theory/feng_2016_topology_polynomials_bounded_integer_coefficients/theorem_1_6 https://erdosproblems.ai/wiki/library/number_theory/garcia_tal_1999_official https://erdosproblems.ai/wiki/library/number_theory/glibichuk_2006_combinatorial_properties_sets_residues_modulo_prime https://erdosproblems.ai/wiki/library/number_theory/glibichuk_2006_combinatorial_properties_sets_residues_modulo_prime/lemma_4 https://erdosproblems.ai/wiki/library/number_theory/glibichuk_2006_combinatorial_properties_sets_residues_modulo_prime/theorem_1 https://erdosproblems.ai/wiki/library/number_theory/glibichuk_2006_combinatorial_properties_sets_residues_modulo_prime/theorem_2 https://erdosproblems.ai/wiki/library/number_theory/glibichuk_2006_combinatorial_properties_sets_residues_modulo_prime/theorem_3 https://erdosproblems.ai/wiki/library/number_theory/graham_pollak_1970_note_nonlinear_recurrence_related_sqrt2 https://erdosproblems.ai/wiki/library/number_theory/graham_pollak_1970_note_nonlinear_recurrence_related_sqrt2/binary_digits_p143 https://erdosproblems.ai/wiki/library/number_theory/graham_pollak_1970_note_nonlinear_recurrence_related_sqrt2/theorem_p143 https://erdosproblems.ai/wiki/library/number_theory/guy_1991_western_number_theory_problems https://erdosproblems.ai/wiki/library/number_theory/guy_1991_western_number_theory_problems/problem_86_18 https://erdosproblems.ai/wiki/library/number_theory/guy_1991_western_number_theory_problems/problem_91_01 https://erdosproblems.ai/wiki/library/number_theory/guy_1991_western_number_theory_problems/problem_91_02 https://erdosproblems.ai/wiki/library/number_theory/guy_1991_western_number_theory_problems/problem_91_03 https://erdosproblems.ai/wiki/library/number_theory/guy_1991_western_number_theory_problems/problem_91_05 https://erdosproblems.ai/wiki/library/number_theory/guy_1991_western_number_theory_problems/problem_91_15 https://erdosproblems.ai/wiki/library/number_theory/guy_1991_western_number_theory_problems/problem_91_16 https://erdosproblems.ai/wiki/library/number_theory/guy_1991_western_number_theory_problems/problem_91_17 https://erdosproblems.ai/wiki/library/number_theory/guy_1991_western_number_theory_problems/problem_91_18 https://erdosproblems.ai/wiki/library/number_theory/guy_2004_unsolved_problems_number_theory https://erdosproblems.ai/wiki/library/number_theory/halasz_1977_estimates_concentration_function_combinatorial_number_theory_probability https://erdosproblems.ai/wiki/library/number_theory/halasz_1977_estimates_concentration_function_combinatorial_number_theory_probability/theorem_1 https://erdosproblems.ai/wiki/library/number_theory/halasz_1977_estimates_concentration_function_combinatorial_number_theory_probability/theorem_2 https://erdosproblems.ai/wiki/library/number_theory/halasz_1977_estimates_concentration_function_combinatorial_number_theory_probability/theorem_3 https://erdosproblems.ai/wiki/library/number_theory/halasz_1977_estimates_concentration_function_combinatorial_number_theory_probability/theorem_4 https://erdosproblems.ai/wiki/library/number_theory/halbeisen_hungerbuhler_1997_optimal_rational_cycle_bounds https://erdosproblems.ai/wiki/library/number_theory/halbeisen_hungerbuhler_1997_optimal_rational_cycle_bounds/example_p11 https://erdosproblems.ai/wiki/library/number_theory/halbeisen_hungerbuhler_1997_optimal_rational_cycle_bounds/lemma_5 https://erdosproblems.ai/wiki/library/number_theory/halbeisen_hungerbuhler_1997_optimal_rational_cycle_bounds/lemma_9 https://erdosproblems.ai/wiki/library/number_theory/halbeisen_hungerbuhler_1997_optimal_rational_cycle_bounds/theorem_3 https://erdosproblems.ai/wiki/library/number_theory/halbeisen_hungerbuhler_1997_optimal_rational_cycle_bounds/theorem_4 https://erdosproblems.ai/wiki/library/number_theory/hercher_2023_no_mcycles_91 https://erdosproblems.ai/wiki/library/number_theory/hercher_2023_no_mcycles_91/theorem_23 https://erdosproblems.ai/wiki/library/number_theory/katznelson_2001_chromatic_numbers_cayley_graphs_z_recurrence https://erdosproblems.ai/wiki/library/number_theory/katznelson_2001_chromatic_numbers_cayley_graphs_z_recurrence/theorem_1_1 https://erdosproblems.ai/wiki/library/number_theory/katznelson_2001_chromatic_numbers_cayley_graphs_z_recurrence/theorem_1_2 https://erdosproblems.ai/wiki/library/number_theory/knight_2026_high_cycles https://erdosproblems.ai/wiki/library/number_theory/kontorovich_lagarias_2009_stochastic_models https://erdosproblems.ai/wiki/library/number_theory/kontorovich_lagarias_2009_stochastic_models/conjecture_2_1 https://erdosproblems.ai/wiki/library/number_theory/kontorovich_lagarias_2009_stochastic_models/conjecture_4_1 https://erdosproblems.ai/wiki/library/number_theory/kontorovich_lagarias_2009_stochastic_models/theorem_6_4 https://erdosproblems.ai/wiki/library/number_theory/kontorovich_lagarias_2009_stochastic_models/theorem_6_5 https://erdosproblems.ai/wiki/library/number_theory/kontorovich_lagarias_2009_stochastic_models/theorem_8_10 https://erdosproblems.ai/wiki/library/number_theory/kontorovich_lagarias_2009_stochastic_models/theorem_8_3 https://erdosproblems.ai/wiki/library/number_theory/konyagin_2001_distances_between_points_plane https://erdosproblems.ai/wiki/library/number_theory/konyagin_2001_distances_between_points_plane/theorem https://erdosproblems.ai/wiki/library/number_theory/korec_1994_density_estimate https://erdosproblems.ai/wiki/library/number_theory/korec_1994_density_estimate/theorem_1 https://erdosproblems.ai/wiki/library/number_theory/kovac_2024_set_points_represented_harmonic_subseries https://erdosproblems.ai/wiki/library/number_theory/kovac_2024_set_points_represented_harmonic_subseries/lemma_2 https://erdosproblems.ai/wiki/library/number_theory/kovac_2024_set_points_represented_harmonic_subseries/theorem_1 https://erdosproblems.ai/wiki/library/number_theory/krasikov_lagarias_2003_bounds_difference_inequalities https://erdosproblems.ai/wiki/library/number_theory/krasikov_lagarias_2003_bounds_difference_inequalities/theorem_2_2 https://erdosproblems.ai/wiki/library/number_theory/krasikov_lagarias_2003_bounds_difference_inequalities/theorem_6_1 https://erdosproblems.ai/wiki/library/number_theory/lagarias_1985_3x1_problem_generalizations https://erdosproblems.ai/wiki/library/number_theory/lagarias_1985_3x1_problem_generalizations/erdos_remarks_p3_p4 https://erdosproblems.ai/wiki/library/number_theory/lagarias_2003_annotated_bibliography_1 https://erdosproblems.ai/wiki/library/number_theory/lagarias_2003_annotated_bibliography_1/conjecture_p1 https://erdosproblems.ai/wiki/library/number_theory/lagarias_2006_annotated_bibliography_2 https://erdosproblems.ai/wiki/library/number_theory/lagarias_2006_annotated_bibliography_2/conjecture_p1 https://erdosproblems.ai/wiki/library/number_theory/lagarias_2010_problem_overview https://erdosproblems.ai/wiki/library/number_theory/lagarias_2010_problem_overview/conjecture_c1_c2 https://erdosproblems.ai/wiki/library/number_theory/lagarias_2010_problem_overview/conjecture_p1 https://erdosproblems.ai/wiki/library/number_theory/lagarias_2010_problem_overview/problem_p4 https://erdosproblems.ai/wiki/library/number_theory/lagarias_2010_problem_overview/section_6 https://erdosproblems.ai/wiki/library/number_theory/lagarias_2016_erdos_klarner_3x1_problem https://erdosproblems.ai/wiki/library/number_theory/lagarias_2016_erdos_klarner_3x1_problem/theorem_3 https://erdosproblems.ai/wiki/library/number_theory/lagarias_2016_erdos_klarner_3x1_problem/theorem_6 https://erdosproblems.ai/wiki/library/number_theory/leveque_1953_uniform_distribution_modulo_subdivision https://erdosproblems.ai/wiki/library/number_theory/leveque_1953_uniform_distribution_modulo_subdivision/corollary_p770 https://erdosproblems.ai/wiki/library/number_theory/leveque_1953_uniform_distribution_modulo_subdivision/definition_p757 https://erdosproblems.ai/wiki/library/number_theory/leveque_1953_uniform_distribution_modulo_subdivision/theorem_1 https://erdosproblems.ai/wiki/library/number_theory/leveque_1953_uniform_distribution_modulo_subdivision/theorem_2 https://erdosproblems.ai/wiki/library/number_theory/leveque_1953_uniform_distribution_modulo_subdivision/theorem_3 https://erdosproblems.ai/wiki/library/number_theory/leveque_1953_uniform_distribution_modulo_subdivision/theorem_4 https://erdosproblems.ai/wiki/library/number_theory/leveque_1953_uniform_distribution_modulo_subdivision/theorem_5 https://erdosproblems.ai/wiki/library/number_theory/leveque_1953_uniform_distribution_modulo_subdivision/theorem_6 https://erdosproblems.ai/wiki/library/number_theory/neklyudov_2021_functional_analysis_collatz https://erdosproblems.ai/wiki/library/number_theory/neklyudov_2021_functional_analysis_collatz/corollary_4_14 https://erdosproblems.ai/wiki/library/number_theory/neklyudov_2021_functional_analysis_collatz/corollary_4_17 https://erdosproblems.ai/wiki/library/number_theory/neklyudov_2021_functional_analysis_collatz/lemma_1_1 https://erdosproblems.ai/wiki/library/number_theory/neklyudov_2021_functional_analysis_collatz/lemma_2_4 https://erdosproblems.ai/wiki/library/number_theory/neklyudov_2021_functional_analysis_collatz/theorem_2_2 https://erdosproblems.ai/wiki/library/number_theory/neklyudov_2021_functional_analysis_collatz/theorem_2_3 https://erdosproblems.ai/wiki/library/number_theory/neklyudov_2021_functional_analysis_collatz/theorem_3_1 https://erdosproblems.ai/wiki/library/number_theory/neklyudov_2021_functional_analysis_collatz/theorem_4_4 https://erdosproblems.ai/wiki/library/number_theory/neklyudov_2021_functional_analysis_collatz/theorem_4_5 https://erdosproblems.ai/wiki/library/number_theory/neklyudov_2021_functional_analysis_collatz/theorem_4_9 https://erdosproblems.ai/wiki/library/number_theory/neklyudov_2021_functional_analysis_collatz/theorem_5_4 https://erdosproblems.ai/wiki/library/number_theory/norton_1994_frequencies_large_values_divisor_functions https://erdosproblems.ai/wiki/library/number_theory/norton_1994_frequencies_large_values_divisor_functions/theorem_1_11 https://erdosproblems.ai/wiki/library/number_theory/openai_2026_bounded_step_walks_gaussian_primes https://erdosproblems.ai/wiki/library/number_theory/openai_2026_bounded_step_walks_gaussian_primes/proposition_2_1 https://erdosproblems.ai/wiki/library/number_theory/openai_2026_bounded_step_walks_gaussian_primes/theorem_1_1 https://erdosproblems.ai/wiki/library/number_theory/openai_2026_bounded_step_walks_gaussian_primes/theorem_1_2 https://erdosproblems.ai/wiki/library/number_theory/openai_2026_deterministic_polynomial_factorization_over_prime_fields https://erdosproblems.ai/wiki/library/number_theory/openai_2026_deterministic_polynomial_factorization_over_prime_fields/proposition_11_3 https://erdosproblems.ai/wiki/library/number_theory/openai_2026_deterministic_polynomial_factorization_over_prime_fields/theorem_1_1 https://erdosproblems.ai/wiki/library/number_theory/openai_2026_deterministic_polynomial_factorization_over_prime_fields/theorem_1_2 https://erdosproblems.ai/wiki/library/number_theory/pollington_1979_density_sequence_n_k_xi https://erdosproblems.ai/wiki/library/number_theory/pollington_1979_density_sequence_n_k_xi/theorem https://erdosproblems.ai/wiki/library/number_theory/sarkozi_1965_uber_ein_problem_von_erdos_und https://erdosproblems.ai/wiki/library/number_theory/sarkozi_1965_uber_ein_problem_von_erdos_und/satz https://erdosproblems.ai/wiki/library/number_theory/sarkozy_1976_distances_near_integers_i https://erdosproblems.ai/wiki/library/number_theory/sarkozy_1976_distances_near_integers_i/theorem https://erdosproblems.ai/wiki/library/number_theory/sarkozy_1976_distances_near_integers_ii https://erdosproblems.ai/wiki/library/number_theory/sarkozy_1976_distances_near_integers_ii/theorem_1 https://erdosproblems.ai/wiki/library/number_theory/schmidt_1969_disproof_conjectures_diophantine_approximations https://erdosproblems.ai/wiki/library/number_theory/schmidt_1969_disproof_conjectures_diophantine_approximations/lemma_1 https://erdosproblems.ai/wiki/library/number_theory/schmidt_1969_disproof_conjectures_diophantine_approximations/question_p138 https://erdosproblems.ai/wiki/library/number_theory/schmidt_1969_disproof_conjectures_diophantine_approximations/theorem_1 https://erdosproblems.ai/wiki/library/number_theory/schmidt_1969_disproof_conjectures_diophantine_approximations/theorem_2 https://erdosproblems.ai/wiki/library/number_theory/schmidt_1969_disproof_conjectures_diophantine_approximations/theorem_3 https://erdosproblems.ai/wiki/library/number_theory/shparlinski_2002_question_erdos_graham https://erdosproblems.ai/wiki/library/number_theory/shparlinski_2002_question_erdos_graham/lemma_2 https://erdosproblems.ai/wiki/library/number_theory/shparlinski_2002_question_erdos_graham/theorem_3 https://erdosproblems.ai/wiki/library/number_theory/simons_de_weger_2010_mcycles_bounds https://erdosproblems.ai/wiki/library/number_theory/simons_de_weger_2010_mcycles_bounds/theorem_3 https://erdosproblems.ai/wiki/library/number_theory/stanley_1980_weyl_groups_hard_lefschetz_theorem_sperner https://erdosproblems.ai/wiki/library/number_theory/stanley_1980_weyl_groups_hard_lefschetz_theorem_sperner/corollary_5_1 https://erdosproblems.ai/wiki/library/number_theory/stanley_1980_weyl_groups_hard_lefschetz_theorem_sperner/corollary_5_3 https://erdosproblems.ai/wiki/library/number_theory/stanley_1980_weyl_groups_hard_lefschetz_theorem_sperner/theorem_2_4 https://erdosproblems.ai/wiki/library/number_theory/stanley_1980_weyl_groups_hard_lefschetz_theorem_sperner/theorem_3_1 https://erdosproblems.ai/wiki/library/number_theory/steinberger_2012_lowest_degree_polynomial_nonnegative_coefficients_divisible_by_n_th_cyclotomic_polynomial https://erdosproblems.ai/wiki/library/number_theory/steinberger_2012_lowest_degree_polynomial_nonnegative_coefficients_divisible_by_n_th_cyclotomic_polynomial/lemma_1 https://erdosproblems.ai/wiki/library/number_theory/steinberger_2012_lowest_degree_polynomial_nonnegative_coefficients_divisible_by_n_th_cyclotomic_polynomial/theorem_1 https://erdosproblems.ai/wiki/library/number_theory/steinberger_2012_lowest_degree_polynomial_nonnegative_coefficients_divisible_by_n_th_cyclotomic_polynomial/theorem_2 https://erdosproblems.ai/wiki/library/number_theory/stoll_2005_families_nonlinear_recurrences_related_digits https://erdosproblems.ai/wiki/library/number_theory/stoll_2005_families_nonlinear_recurrences_related_digits/theorem_1_1 https://erdosproblems.ai/wiki/library/number_theory/stoll_2005_families_nonlinear_recurrences_related_digits/theorem_1_2 https://erdosproblems.ai/wiki/library/number_theory/stoll_2005_families_nonlinear_recurrences_related_digits/theorem_1_3 https://erdosproblems.ai/wiki/library/number_theory/stoll_2006_problem_erdos_graham_concerning_digits https://erdosproblems.ai/wiki/library/number_theory/stoll_2006_problem_erdos_graham_concerning_digits/corollary_3_5 https://erdosproblems.ai/wiki/library/number_theory/stoll_2006_problem_erdos_graham_concerning_digits/fact_1 https://erdosproblems.ai/wiki/library/number_theory/stoll_2006_problem_erdos_graham_concerning_digits/theorem_3_1 https://erdosproblems.ai/wiki/library/number_theory/stoll_2006_problem_erdos_graham_concerning_digits/theorem_3_3 https://erdosproblems.ai/wiki/library/number_theory/tan_zhang_2026_sharp_diameter_bounds_nonnegative_cyclotomic_multiples https://erdosproblems.ai/wiki/library/number_theory/tang_2025_average_first_passage_times_character_sums https://erdosproblems.ai/wiki/library/number_theory/tang_2025_average_first_passage_times_character_sums/theorem_1_2 https://erdosproblems.ai/wiki/library/number_theory/tang_2025_erdos_479_congruences https://erdosproblems.ai/wiki/library/number_theory/tang_2025_erdos_479_congruences/theorem_3_1 https://erdosproblems.ai/wiki/library/number_theory/tao_2014_254a_notes_1_elementary_multiplicative_number_theory https://erdosproblems.ai/wiki/library/number_theory/tao_2019_almost_all_orbits https://erdosproblems.ai/wiki/library/number_theory/tao_2019_almost_all_orbits/theorem_1_3 https://erdosproblems.ai/wiki/library/number_theory/tao_2019_almost_all_orbits/theorem_1_6 https://erdosproblems.ai/wiki/library/number_theory/tao_2019_almost_all_orbits/theorem_3_1 https://erdosproblems.ai/wiki/library/number_theory/terras_1976_stopping_time_problem https://erdosproblems.ai/wiki/library/number_theory/various_1999_some_pauls_favorite_problems https://erdosproblems.ai/wiki/library/number_theory/various_1999_some_pauls_favorite_problems/problem_1_22 https://erdosproblems.ai/wiki/library/number_theory/various_1999_some_pauls_favorite_problems/problem_2_44 https://erdosproblems.ai/wiki/library/number_theory/various_1999_some_pauls_favorite_problems/problem_6_76 https://erdosproblems.ai/wiki/library/number_theory/various_1999_some_pauls_favorite_problems/problem_6_77 https://erdosproblems.ai/wiki/library/number_theory/various_1999_some_pauls_favorite_problems/problem_6_78 https://erdosproblems.ai/wiki/library/number_theory/vinogradov_1948_estimate_trigonometric_sums_prime_numbers https://erdosproblems.ai/wiki/library/number_theory/vinogradov_1948_estimate_trigonometric_sums_prime_numbers/theorem_1 https://erdosproblems.ai/wiki/library/number_theory/vinogradov_1948_estimate_trigonometric_sums_prime_numbers/theorem_2 https://erdosproblems.ai/wiki/library/number_theory/vinogradov_1948_estimate_trigonometric_sums_prime_numbers/theorem_3 https://erdosproblems.ai/wiki/library/number_theory/vinogradov_1948_estimate_trigonometric_sums_prime_numbers/theorem_4 https://erdosproblems.ai/wiki/library/number_theory/voight_2021_quaternion_algebras_over_global_fields https://erdosproblems.ai/wiki/library/number_theory/voight_2021_quaternion_algebras_over_global_fields/corollary_14_2_3 https://erdosproblems.ai/wiki/library/number_theory/voight_2021_quaternion_algebras_over_global_fields/corollary_14_6_2 https://erdosproblems.ai/wiki/library/number_theory/voight_2021_quaternion_algebras_over_global_fields/main_theorem_14_1_3 https://erdosproblems.ai/wiki/library/number_theory/voight_2021_quaternion_algebras_over_global_fields/main_theorem_14_6_1 https://erdosproblems.ai/wiki/library/number_theory/voight_2021_quaternion_algebras_over_global_fields/main_theorem_14_7_4 https://erdosproblems.ai/wiki/library/number_theory/voight_2021_quaternion_algebras_over_global_fields/proposition_14_2_1 https://erdosproblems.ai/wiki/library/number_theory/voight_2021_quaternion_algebras_over_global_fields/proposition_14_6_7 https://erdosproblems.ai/wiki/library/number_theory/voight_2021_quaternion_algebras_over_global_fields/theorem_14_3_3 https://erdosproblems.ai/wiki/library/number_theory/voight_2021_quaternion_algebras_over_global_fields/theorem_14_3_8 https://erdosproblems.ai/wiki/library/number_theory/voight_2021_quaternion_algebras_over_global_fields/theorem_14_6_9 https://erdosproblems.ai/wiki/library/number_theory/wang_2026_exact_formula_erdos_problem_1005 https://erdosproblems.ai/wiki/library/number_theory/wang_2026_exact_formula_erdos_problem_1005/theorem_1_2 https://erdosproblems.ai/wiki/library/number_theory/wang_2026_exact_formula_erdos_problem_1005/theorem_1_3 https://erdosproblems.ai/wiki/library/polynomials https://erdosproblems.ai/wiki/library/polynomials/abdalaoui_2025_l_alpha_flatness_erdos_littlewood_s https://erdosproblems.ai/wiki/library/polynomials/abdalaoui_nadkarni_2016_class_littlewood_polynomials_that_are_not_l_flat https://erdosproblems.ai/wiki/library/polynomials/abdalaoui_nadkarni_2016_class_littlewood_polynomials_that_are_not_l_flat/proposition_3_5 https://erdosproblems.ai/wiki/library/polynomials/abdalaoui_nadkarni_2016_class_littlewood_polynomials_that_are_not_l_flat/theorem_2_1 https://erdosproblems.ai/wiki/library/polynomials/abdalaoui_nadkarni_2016_class_littlewood_polynomials_that_are_not_l_flat/theorem_2_2 https://erdosproblems.ai/wiki/library/polynomials/abdalaoui_nadkarni_2016_class_littlewood_polynomials_that_are_not_l_flat/theorem_2_3 https://erdosproblems.ai/wiki/library/polynomials/anon_2026_bernstein_density_proof_erdos_s_robust https://erdosproblems.ai/wiki/library/polynomials/anon_2026_bernstein_density_proof_erdos_s_robust/lemma_3_2 https://erdosproblems.ai/wiki/library/polynomials/anon_2026_bernstein_density_proof_erdos_s_robust/lemma_4_1 https://erdosproblems.ai/wiki/library/polynomials/anon_2026_bernstein_density_proof_erdos_s_robust/proposition_3_1 https://erdosproblems.ai/wiki/library/polynomials/anon_2026_bernstein_density_proof_erdos_s_robust/theorem_1_1 https://erdosproblems.ai/wiki/library/polynomials/balint_1960_proof_conjecture_erdos https://erdosproblems.ai/wiki/library/polynomials/balint_1960_proof_conjecture_erdos/main_theorem https://erdosproblems.ai/wiki/library/polynomials/balint_1960_proof_conjecture_erdos/statement_ii https://erdosproblems.ai/wiki/library/polynomials/balister_2020_flat_littlewood_polynomials_exist https://erdosproblems.ai/wiki/library/polynomials/balister_2020_flat_littlewood_polynomials_exist/theorem_1_1 https://erdosproblems.ai/wiki/library/polynomials/balister_2020_flat_littlewood_polynomials_exist/theorem_2_1 https://erdosproblems.ai/wiki/library/polynomials/balister_2020_flat_littlewood_polynomials_exist/theorem_2_3 https://erdosproblems.ai/wiki/library/polynomials/balister_2020_flat_littlewood_polynomials_exist/theorem_2_4 https://erdosproblems.ai/wiki/library/polynomials/basu_pollack_roy_2006_algorithms_real_algebraic_geometry https://erdosproblems.ai/wiki/library/polynomials/basu_pollack_roy_2006_algorithms_real_algebraic_geometry/theorem_1_22 https://erdosproblems.ai/wiki/library/polynomials/basu_pollack_roy_2006_algorithms_real_algebraic_geometry/theorem_1_23 https://erdosproblems.ai/wiki/library/polynomials/bernstein_1931_limitation_values_polynomial_segment https://erdosproblems.ai/wiki/library/polynomials/bernstein_1931_limitation_values_polynomial_segment/conjecture_p1026 https://erdosproblems.ai/wiki/library/polynomials/bernstein_1931_limitation_values_polynomial_segment/corollary https://erdosproblems.ai/wiki/library/polynomials/bernstein_1931_limitation_values_polynomial_segment/equation_27_midpoint_product https://erdosproblems.ai/wiki/library/polynomials/bernstein_1931_limitation_values_polynomial_segment/equation_32_telescoping https://erdosproblems.ai/wiki/library/polynomials/bernstein_1931_limitation_values_polynomial_segment/equation_33_interior_case https://erdosproblems.ai/wiki/library/polynomials/bernstein_1931_limitation_values_polynomial_segment/equation_34_local_growth https://erdosproblems.ai/wiki/library/polynomials/bernstein_1931_limitation_values_polynomial_segment/equations_29_31_logarithmic_pairs https://erdosproblems.ai/wiki/library/polynomials/bernstein_1931_limitation_values_polynomial_segment/evidence https://erdosproblems.ai/wiki/library/polynomials/bernstein_1931_limitation_values_polynomial_segment/evidence/verify https://erdosproblems.ai/wiki/library/polynomials/bernstein_1931_limitation_values_polynomial_segment/evidence/verify/local_chain_review https://erdosproblems.ai/wiki/library/polynomials/bernstein_1931_limitation_values_polynomial_segment/evidence/verify/publication_review https://erdosproblems.ai/wiki/library/polynomials/bernstein_1931_limitation_values_polynomial_segment/interpolation_extremal_identity https://erdosproblems.ai/wiki/library/polynomials/bernstein_1931_limitation_values_polynomial_segment/local_gap_test_companion https://erdosproblems.ai/wiki/library/polynomials/bernstein_1931_limitation_values_polynomial_segment/perturbed_chebyshev_nodes https://erdosproblems.ai/wiki/library/polynomials/bernstein_1931_limitation_values_polynomial_segment/source_proof_scope https://erdosproblems.ai/wiki/library/polynomials/bernstein_1931_limitation_values_polynomial_segment/theorem https://erdosproblems.ai/wiki/library/polynomials/bombieri_2009_kahane_ultraflat_polynomials https://erdosproblems.ai/wiki/library/polynomials/borwein_erdelyi_2003_lower_bounds_merit_factors_trigonometric_polynomials_littlewood_classes https://erdosproblems.ai/wiki/library/polynomials/borwein_erdelyi_2003_lower_bounds_merit_factors_trigonometric_polynomials_littlewood_classes/corollary_2 https://erdosproblems.ai/wiki/library/polynomials/borwein_erdelyi_2003_lower_bounds_merit_factors_trigonometric_polynomials_littlewood_classes/theorem_1 https://erdosproblems.ai/wiki/library/polynomials/borwein_erdelyi_2003_lower_bounds_merit_factors_trigonometric_polynomials_littlewood_classes/theorem_3 https://erdosproblems.ai/wiki/library/polynomials/borwein_erdelyi_2003_lower_bounds_merit_factors_trigonometric_polynomials_littlewood_classes/theorem_4 https://erdosproblems.ai/wiki/library/polynomials/borwein_erdelyi_2003_lower_bounds_merit_factors_trigonometric_polynomials_littlewood_classes/theorem_5 https://erdosproblems.ai/wiki/library/polynomials/borwein_mossinghoff_2008_barker_sequences_flat_polynomials https://erdosproblems.ai/wiki/library/polynomials/borwein_mossinghoff_2008_barker_sequences_flat_polynomials/theorem_3_1 https://erdosproblems.ai/wiki/library/polynomials/borwein_mossinghoff_2008_barker_sequences_flat_polynomials/theorem_4_1 https://erdosproblems.ai/wiki/library/polynomials/borwein_mossinghoff_2008_barker_sequences_flat_polynomials/theorem_5_1 https://erdosproblems.ai/wiki/library/polynomials/borwein_mossinghoff_2008_barker_sequences_flat_polynomials/theorem_5_2 https://erdosproblems.ai/wiki/library/polynomials/borwein_mossinghoff_2008_barker_sequences_flat_polynomials/theorem_6_1 https://erdosproblems.ai/wiki/library/polynomials/cook_2021_universality_minimum_modulus_random_trigonometric_polynomials https://erdosproblems.ai/wiki/library/polynomials/danchenko_2007_lengths_lemniscates https://erdosproblems.ai/wiki/library/polynomials/danchenko_2007_lengths_lemniscates/lemma_1 https://erdosproblems.ai/wiki/library/polynomials/danchenko_2007_lengths_lemniscates/theorem_1 https://erdosproblems.ai/wiki/library/polynomials/danchenko_2007_lengths_lemniscates/theorem_2 https://erdosproblems.ai/wiki/library/polynomials/deboor_1978_conjectures_bernstein_erdos_optimal_nodes_polynomial_interpolation https://erdosproblems.ai/wiki/library/polynomials/do_2024_strong_law_large_numbers_real_roots https://erdosproblems.ai/wiki/library/polynomials/do_2024_strong_law_large_numbers_real_roots/lemma_2_3 https://erdosproblems.ai/wiki/library/polynomials/do_2024_strong_law_large_numbers_real_roots/theorem_1_1 https://erdosproblems.ai/wiki/library/polynomials/do_2024_strong_law_large_numbers_real_roots/theorem_3_1 https://erdosproblems.ai/wiki/library/polynomials/erdelyi_2018_asymptotic_distance_between_ultraflat_unimodular_polynomial_its_conjugate_reciprocal https://erdosproblems.ai/wiki/library/polynomials/erdelyi_2020_do_flat_skew_reciprocal_littlewood_polynomials_exist https://erdosproblems.ai/wiki/library/polynomials/erdelyi_2025_sequence_partial_sums_unimodular_power_series_is_not_ultraflat https://erdosproblems.ai/wiki/library/polynomials/erdelyi_2026_erdos_problem_about_maximum_modulus_littlewood_polynomials_unit_circl https://erdosproblems.ai/wiki/library/polynomials/erdos_1941_divergence_properties_lagrange_interpolation_parabolas https://erdosproblems.ai/wiki/library/polynomials/erdos_1941_divergence_properties_lagrange_interpolation_parabolas/remark_p315 https://erdosproblems.ai/wiki/library/polynomials/erdos_1941_divergence_properties_lagrange_interpolation_parabolas/theorem_1 https://erdosproblems.ai/wiki/library/polynomials/erdos_1941_divergence_properties_lagrange_interpolation_parabolas/theorem_2 https://erdosproblems.ai/wiki/library/polynomials/erdos_1947_remarks_polynomials https://erdosproblems.ai/wiki/library/polynomials/erdos_1947_remarks_polynomials/theorem_1 https://erdosproblems.ai/wiki/library/polynomials/erdos_1947_remarks_polynomials/theorem_2 https://erdosproblems.ai/wiki/library/polynomials/erdos_1947_remarks_polynomials/theorem_3 https://erdosproblems.ai/wiki/library/polynomials/erdos_1947_remarks_polynomials/theorem_4 https://erdosproblems.ai/wiki/library/polynomials/erdos_1947_remarks_polynomials/theorem_5 https://erdosproblems.ai/wiki/library/polynomials/erdos_1947_remarks_polynomials/theorem_6 https://erdosproblems.ai/wiki/library/polynomials/erdos_1947_remarks_polynomials/theorem_7 https://erdosproblems.ai/wiki/library/polynomials/erdos_1949_number_terms_square_polynomial https://erdosproblems.ai/wiki/library/polynomials/erdos_1949_number_terms_square_polynomial/conjecture_p65 https://erdosproblems.ai/wiki/library/polynomials/erdos_1949_number_terms_square_polynomial/remark_p65 https://erdosproblems.ai/wiki/library/polynomials/erdos_1949_number_terms_square_polynomial/theorem_p63 https://erdosproblems.ai/wiki/library/polynomials/erdos_1952_sum https://erdosproblems.ai/wiki/library/polynomials/erdos_1952_sum/theorem https://erdosproblems.ai/wiki/library/polynomials/erdos_1956_number_real_roots_random_algebraic_equation https://erdosproblems.ai/wiki/library/polynomials/erdos_1956_number_real_roots_random_algebraic_equation/theorem https://erdosproblems.ai/wiki/library/polynomials/erdos_1958_metric_properties_polynomials https://erdosproblems.ai/wiki/library/polynomials/erdos_1958_metric_properties_polynomials/problem_1 https://erdosproblems.ai/wiki/library/polynomials/erdos_1958_metric_properties_polynomials/problem_10 https://erdosproblems.ai/wiki/library/polynomials/erdos_1958_metric_properties_polynomials/problem_11 https://erdosproblems.ai/wiki/library/polynomials/erdos_1958_metric_properties_polynomials/problem_12 https://erdosproblems.ai/wiki/library/polynomials/erdos_1958_metric_properties_polynomials/problem_13 https://erdosproblems.ai/wiki/library/polynomials/erdos_1958_metric_properties_polynomials/problem_14 https://erdosproblems.ai/wiki/library/polynomials/erdos_1958_metric_properties_polynomials/problem_16 https://erdosproblems.ai/wiki/library/polynomials/erdos_1958_metric_properties_polynomials/problem_2 https://erdosproblems.ai/wiki/library/polynomials/erdos_1958_metric_properties_polynomials/problem_3 https://erdosproblems.ai/wiki/library/polynomials/erdos_1958_metric_properties_polynomials/problem_4 https://erdosproblems.ai/wiki/library/polynomials/erdos_1958_metric_properties_polynomials/problem_5 https://erdosproblems.ai/wiki/library/polynomials/erdos_1958_metric_properties_polynomials/problem_6 https://erdosproblems.ai/wiki/library/polynomials/erdos_1958_metric_properties_polynomials/problem_7 https://erdosproblems.ai/wiki/library/polynomials/erdos_1958_metric_properties_polynomials/problem_9 https://erdosproblems.ai/wiki/library/polynomials/erdos_1958_metric_properties_polynomials/problem_p148 https://erdosproblems.ai/wiki/library/polynomials/erdos_1958_metric_properties_polynomials/theorem_1 https://erdosproblems.ai/wiki/library/polynomials/erdos_1958_metric_properties_polynomials/theorem_10 https://erdosproblems.ai/wiki/library/polynomials/erdos_1958_metric_properties_polynomials/theorem_11 https://erdosproblems.ai/wiki/library/polynomials/erdos_1958_metric_properties_polynomials/theorem_12 https://erdosproblems.ai/wiki/library/polynomials/erdos_1958_metric_properties_polynomials/theorem_2 https://erdosproblems.ai/wiki/library/polynomials/erdos_1958_metric_properties_polynomials/theorem_3 https://erdosproblems.ai/wiki/library/polynomials/erdos_1958_metric_properties_polynomials/theorem_4 https://erdosproblems.ai/wiki/library/polynomials/erdos_1958_metric_properties_polynomials/theorem_5 https://erdosproblems.ai/wiki/library/polynomials/erdos_1958_metric_properties_polynomials/theorem_6 https://erdosproblems.ai/wiki/library/polynomials/erdos_1958_metric_properties_polynomials/theorem_7 https://erdosproblems.ai/wiki/library/polynomials/erdos_1958_metric_properties_polynomials/theorem_8 https://erdosproblems.ai/wiki/library/polynomials/erdos_1958_metric_properties_polynomials/theorem_9 https://erdosproblems.ai/wiki/library/polynomials/erdos_1961_extremal_problem_theory_interpolation https://erdosproblems.ai/wiki/library/polynomials/erdos_1961_extremal_problem_theory_interpolation/theorem_i https://erdosproblems.ai/wiki/library/polynomials/erdos_1961_extremal_problem_theory_interpolation/theorem_ii https://erdosproblems.ai/wiki/library/polynomials/erdos_1961_extremal_problem_theory_interpolation/two_interpolation_layers https://erdosproblems.ai/wiki/library/polynomials/erdos_1961_problems_results_interpolation_ii https://erdosproblems.ai/wiki/library/polynomials/erdos_1961_problems_results_interpolation_ii/theorem_1 https://erdosproblems.ai/wiki/library/polynomials/erdos_1961_problems_results_interpolation_ii/theorem_2 https://erdosproblems.ai/wiki/library/polynomials/erdos_1961_problems_results_interpolation_ii/theorem_3 https://erdosproblems.ai/wiki/library/polynomials/erdos_1961_problems_results_interpolation_ii/theorem_4 https://erdosproblems.ai/wiki/library/polynomials/erdos_1962_inequality_maximum_trigonometric_polynomials https://erdosproblems.ai/wiki/library/polynomials/erdos_1967_problems_results_convergence_divergence_properties_lagrange https://erdosproblems.ai/wiki/library/polynomials/erdos_1967_problems_results_convergence_divergence_properties_lagrange/conjecture_p72 https://erdosproblems.ai/wiki/library/polynomials/erdos_1967_problems_results_convergence_divergence_properties_lagrange/equation_4 https://erdosproblems.ai/wiki/library/polynomials/erdos_1967_problems_results_convergence_divergence_properties_lagrange/equation_5 https://erdosproblems.ai/wiki/library/polynomials/erdos_1967_problems_results_convergence_divergence_properties_lagrange/equations_1_2 https://erdosproblems.ai/wiki/library/polynomials/erdos_1967_problems_results_convergence_divergence_properties_lagrange/equations_6_7 https://erdosproblems.ai/wiki/library/polynomials/erdos_1967_problems_results_convergence_divergence_properties_lagrange/problem_p66 https://erdosproblems.ai/wiki/library/polynomials/erdos_1967_problems_results_convergence_divergence_properties_lagrange/theorem_1 https://erdosproblems.ai/wiki/library/polynomials/erdos_1967_problems_results_convergence_divergence_properties_lagrange/theorem_1_prime https://erdosproblems.ai/wiki/library/polynomials/erdos_1967_problems_results_convergence_divergence_properties_lagrange/theorem_2 https://erdosproblems.ai/wiki/library/polynomials/erdos_1967_problems_results_convergence_divergence_properties_lagrange/theorem_2_prime https://erdosproblems.ai/wiki/library/polynomials/erdos_1967_problems_results_convergence_divergence_properties_lagrange/theorem_3 https://erdosproblems.ai/wiki/library/polynomials/erdos_1967_problems_results_convergence_divergence_properties_lagrange/theorem_4 https://erdosproblems.ai/wiki/library/polynomials/erdos_1989_convergent_interpolatory_polynomials https://erdosproblems.ai/wiki/library/polynomials/erdos_1989_convergent_interpolatory_polynomials/theorem https://erdosproblems.ai/wiki/library/polynomials/erdos_1989_convergent_interpolatory_polynomials/theorem_a https://erdosproblems.ai/wiki/library/polynomials/erdos_szabados_1978_integral_lebesgue_function_interpolation https://erdosproblems.ai/wiki/library/polynomials/erdos_szabados_1978_integral_lebesgue_function_interpolation/endpoint_harmonic_completion https://erdosproblems.ai/wiki/library/polynomials/erdos_szabados_1978_integral_lebesgue_function_interpolation/evidence https://erdosproblems.ai/wiki/library/polynomials/erdos_szabados_1978_integral_lebesgue_function_interpolation/evidence/verify https://erdosproblems.ai/wiki/library/polynomials/erdos_szabados_1978_integral_lebesgue_function_interpolation/evidence/verify/diagonal_review https://erdosproblems.ai/wiki/library/polynomials/erdos_szabados_1978_integral_lebesgue_function_interpolation/evidence/verify/full_chain_review https://erdosproblems.ai/wiki/library/polynomials/erdos_szabados_1978_integral_lebesgue_function_interpolation/evidence/verify/full_chain_review_fresh https://erdosproblems.ai/wiki/library/polynomials/erdos_szabados_1978_integral_lebesgue_function_interpolation/evidence/verify/full_chain_review_grade_fresh https://erdosproblems.ai/wiki/library/polynomials/erdos_szabados_1978_integral_lebesgue_function_interpolation/evidence/verify/late_proof_review https://erdosproblems.ai/wiki/library/polynomials/erdos_szabados_1978_integral_lebesgue_function_interpolation/evidence/verify/publication_review https://erdosproblems.ai/wiki/library/polynomials/erdos_szabados_1978_integral_lebesgue_function_interpolation/finite_symmetrization_correction https://erdosproblems.ai/wiki/library/polynomials/erdos_szabados_1978_integral_lebesgue_function_interpolation/integral_lower_bound https://erdosproblems.ai/wiki/library/polynomials/erdos_szabados_1978_integral_lebesgue_function_interpolation/node_gap_lemma https://erdosproblems.ai/wiki/library/polynomials/erdos_turan_1940_on_interpolation_iii https://erdosproblems.ai/wiki/library/polynomials/erdos_turan_1940_on_interpolation_iii/evidence https://erdosproblems.ai/wiki/library/polynomials/erdos_turan_1940_on_interpolation_iii/evidence/verify https://erdosproblems.ai/wiki/library/polynomials/erdos_turan_1940_on_interpolation_iii/evidence/verify/lemma_iv_review https://erdosproblems.ai/wiki/library/polynomials/erdos_turan_1940_on_interpolation_iii/lemma_iv_adjacent_fundamental_polynomials https://erdosproblems.ai/wiki/library/polynomials/erdos_turan_1940_on_interpolation_iii/theorem_i https://erdosproblems.ai/wiki/library/polynomials/erdos_turan_1940_on_interpolation_iii/theorem_ii https://erdosproblems.ai/wiki/library/polynomials/erdos_turan_1940_on_interpolation_iii/theorem_iii https://erdosproblems.ai/wiki/library/polynomials/erdos_turan_1940_on_interpolation_iii/theorem_iv https://erdosproblems.ai/wiki/library/polynomials/erdos_turan_1940_on_interpolation_iii/theorem_ix https://erdosproblems.ai/wiki/library/polynomials/erdos_turan_1940_on_interpolation_iii/theorem_v https://erdosproblems.ai/wiki/library/polynomials/erdos_turan_1940_on_interpolation_iii/theorem_vi https://erdosproblems.ai/wiki/library/polynomials/erdos_turan_1940_on_interpolation_iii/theorem_vii https://erdosproblems.ai/wiki/library/polynomials/erdos_turan_1940_on_interpolation_iii/theorem_viii https://erdosproblems.ai/wiki/library/polynomials/erdos_turan_1940_on_interpolation_iii/theorem_x https://erdosproblems.ai/wiki/library/polynomials/erdos_turan_1940_on_interpolation_iii/theorem_xi https://erdosproblems.ai/wiki/library/polynomials/erdos_turan_1940_on_interpolation_iii/theorem_xii https://erdosproblems.ai/wiki/library/polynomials/erdos_turan_1940_on_interpolation_iii/theorem_xiii https://erdosproblems.ai/wiki/library/polynomials/erdos_turan_1940_on_interpolation_iii/theorem_xiv https://erdosproblems.ai/wiki/library/polynomials/erdos_turan_1940_on_interpolation_iii/theorem_xv https://erdosproblems.ai/wiki/library/polynomials/erdos_turan_1940_on_interpolation_iii/theorem_xvi https://erdosproblems.ai/wiki/library/polynomials/erdos_turan_1940_on_interpolation_iii/theorem_xvii https://erdosproblems.ai/wiki/library/polynomials/eremenko_1994_extremal_problem_polynomials https://erdosproblems.ai/wiki/library/polynomials/eremenko_1994_extremal_problem_polynomials/theorem_1 https://erdosproblems.ai/wiki/library/polynomials/eremenko_1999_length_lemniscates https://erdosproblems.ai/wiki/library/polynomials/eremenko_1999_length_lemniscates/lemma_1 https://erdosproblems.ai/wiki/library/polynomials/eremenko_1999_length_lemniscates/lemma_4 https://erdosproblems.ai/wiki/library/polynomials/eremenko_1999_length_lemniscates/lemma_5 https://erdosproblems.ai/wiki/library/polynomials/eremenko_1999_length_lemniscates/lemma_6 https://erdosproblems.ai/wiki/library/polynomials/eremenko_1999_length_lemniscates/remark_p5 https://erdosproblems.ai/wiki/library/polynomials/eremenko_1999_length_lemniscates/theorem_1 https://erdosproblems.ai/wiki/library/polynomials/eremenko_1999_length_lemniscates/theorem_2 https://erdosproblems.ai/wiki/library/polynomials/fejer_1932_bestimmung_derjenigen_abszissen_eines_intervalles https://erdosproblems.ai/wiki/library/polynomials/fejer_1932_bestimmung_derjenigen_abszissen_eines_intervalles/equation_59 https://erdosproblems.ai/wiki/library/polynomials/fejer_1932_bestimmung_derjenigen_abszissen_eines_intervalles/equation_69 https://erdosproblems.ai/wiki/library/polynomials/fejer_1932_bestimmung_derjenigen_abszissen_eines_intervalles/equation_97 https://erdosproblems.ai/wiki/library/polynomials/fejer_1932_bestimmung_derjenigen_abszissen_eines_intervalles/main_theorem https://erdosproblems.ai/wiki/library/polynomials/fryntov_2009_new_estimates_length_erdos_herzog https://erdosproblems.ai/wiki/library/polynomials/fryntov_2009_new_estimates_length_erdos_herzog/estimate_p11 https://erdosproblems.ai/wiki/library/polynomials/fryntov_2009_new_estimates_length_erdos_herzog/estimate_p17 https://erdosproblems.ai/wiki/library/polynomials/fryntov_2009_new_estimates_length_erdos_herzog/local_maximum_p4 https://erdosproblems.ai/wiki/library/polynomials/gunther_schmidt_2015_merit_factors_polynomials_derived_from_difference_sets https://erdosproblems.ai/wiki/library/polynomials/gunther_schmidt_2015_merit_factors_polynomials_derived_from_difference_sets/corollary_2_4 https://erdosproblems.ai/wiki/library/polynomials/gunther_schmidt_2015_merit_factors_polynomials_derived_from_difference_sets/corollary_2_5 https://erdosproblems.ai/wiki/library/polynomials/gunther_schmidt_2015_merit_factors_polynomials_derived_from_difference_sets/corollary_2_6 https://erdosproblems.ai/wiki/library/polynomials/gunther_schmidt_2015_merit_factors_polynomials_derived_from_difference_sets/definitions https://erdosproblems.ai/wiki/library/polynomials/gunther_schmidt_2015_merit_factors_polynomials_derived_from_difference_sets/theorem_2_1 https://erdosproblems.ai/wiki/library/polynomials/gunther_schmidt_2015_merit_factors_polynomials_derived_from_difference_sets/theorem_2_2 https://erdosproblems.ai/wiki/library/polynomials/gunther_schmidt_2015_merit_factors_polynomials_derived_from_difference_sets/theorem_2_3 https://erdosproblems.ai/wiki/library/polynomials/gunther_schmidt_2015_merit_factors_polynomials_derived_from_difference_sets/theorem_3_1 https://erdosproblems.ai/wiki/library/polynomials/gunther_schmidt_2015_merit_factors_polynomials_derived_from_difference_sets/theorem_3_2 https://erdosproblems.ai/wiki/library/polynomials/gunther_schmidt_2016_l_q_norms_fekete_related_polynomials https://erdosproblems.ai/wiki/library/polynomials/gunther_schmidt_2016_l_q_norms_fekete_related_polynomials/corollary_2_2 https://erdosproblems.ai/wiki/library/polynomials/gunther_schmidt_2016_l_q_norms_fekete_related_polynomials/corollary_2_4 https://erdosproblems.ai/wiki/library/polynomials/gunther_schmidt_2016_l_q_norms_fekete_related_polynomials/lemma_3_2 https://erdosproblems.ai/wiki/library/polynomials/gunther_schmidt_2016_l_q_norms_fekete_related_polynomials/proposition_3_1 https://erdosproblems.ai/wiki/library/polynomials/gunther_schmidt_2016_l_q_norms_fekete_related_polynomials/theorem_2_1 https://erdosproblems.ai/wiki/library/polynomials/gunther_schmidt_2016_l_q_norms_fekete_related_polynomials/theorem_2_3 https://erdosproblems.ai/wiki/library/polynomials/gunther_schmidt_2016_l_q_norms_fekete_related_polynomials/theorem_2_5 https://erdosproblems.ai/wiki/library/polynomials/halasz_1973_result_salem_zygmund_concerning_random_polynomials https://erdosproblems.ai/wiki/library/polynomials/halasz_1973_result_salem_zygmund_concerning_random_polynomials/remark_p377 https://erdosproblems.ai/wiki/library/polynomials/halasz_1973_result_salem_zygmund_concerning_random_polynomials/theorem_p369 https://erdosproblems.ai/wiki/library/polynomials/hayman_lingham_2018_research_problems_function_theory https://erdosproblems.ai/wiki/library/polynomials/hayman_lingham_2018_research_problems_function_theory/problem_1_25 https://erdosproblems.ai/wiki/library/polynomials/hayman_lingham_2018_research_problems_function_theory/problem_2_16 https://erdosproblems.ai/wiki/library/polynomials/hayman_lingham_2018_research_problems_function_theory/problem_2_40 https://erdosproblems.ai/wiki/library/polynomials/hayman_lingham_2018_research_problems_function_theory/problem_2_41 https://erdosproblems.ai/wiki/library/polynomials/hayman_lingham_2018_research_problems_function_theory/problem_2_7 https://erdosproblems.ai/wiki/library/polynomials/hayman_lingham_2018_research_problems_function_theory/problem_4_13 https://erdosproblems.ai/wiki/library/polynomials/hayman_lingham_2018_research_problems_function_theory/problem_4_14 https://erdosproblems.ai/wiki/library/polynomials/hayman_lingham_2018_research_problems_function_theory/problem_4_15 https://erdosproblems.ai/wiki/library/polynomials/hayman_lingham_2018_research_problems_function_theory/problem_4_17 https://erdosproblems.ai/wiki/library/polynomials/hayman_lingham_2018_research_problems_function_theory/problem_4_8 https://erdosproblems.ai/wiki/library/polynomials/hong_2026_strategy_proposal_covering_lemniscates_erdos_problem https://erdosproblems.ai/wiki/library/polynomials/hong_2026_strategy_proposal_covering_lemniscates_erdos_problem/claim_3_1 https://erdosproblems.ai/wiki/library/polynomials/hong_2026_strategy_proposal_covering_lemniscates_erdos_problem/corollary_4_3 https://erdosproblems.ai/wiki/library/polynomials/hong_2026_strategy_proposal_covering_lemniscates_erdos_problem/lemma_4_1 https://erdosproblems.ai/wiki/library/polynomials/hong_2026_strategy_proposal_covering_lemniscates_erdos_problem/lemma_4_2 https://erdosproblems.ai/wiki/library/polynomials/hong_2026_strategy_proposal_covering_lemniscates_erdos_problem/lemma_5_1 https://erdosproblems.ai/wiki/library/polynomials/hong_2026_strategy_proposal_covering_lemniscates_erdos_problem/lemma_7_1 https://erdosproblems.ai/wiki/library/polynomials/hong_2026_strategy_proposal_covering_lemniscates_erdos_problem/proposition_6_1 https://erdosproblems.ai/wiki/library/polynomials/hong_2026_strategy_proposal_covering_lemniscates_erdos_problem/section_8_4 https://erdosproblems.ai/wiki/library/polynomials/jedwab_et_al_2012_littlewood_polynomials_small_l_4_norm https://erdosproblems.ai/wiki/library/polynomials/jedwab_et_al_2012_littlewood_polynomials_small_l_4_norm/corollary_3_1 https://erdosproblems.ai/wiki/library/polynomials/jedwab_et_al_2012_littlewood_polynomials_small_l_4_norm/corollary_3_2 https://erdosproblems.ai/wiki/library/polynomials/jedwab_et_al_2012_littlewood_polynomials_small_l_4_norm/theorem_1_1 https://erdosproblems.ai/wiki/library/polynomials/jedwab_et_al_2012_littlewood_polynomials_small_l_4_norm/theorem_2_1 https://erdosproblems.ai/wiki/library/polynomials/katz_moore_2017_sequence_pairs_lowest_combined_autocorrelation_crosscorrelation https://erdosproblems.ai/wiki/library/polynomials/katz_moore_2017_sequence_pairs_lowest_combined_autocorrelation_crosscorrelation/corollary_1_2 https://erdosproblems.ai/wiki/library/polynomials/katz_moore_2017_sequence_pairs_lowest_combined_autocorrelation_crosscorrelation/definition_7_5 https://erdosproblems.ai/wiki/library/polynomials/katz_moore_2017_sequence_pairs_lowest_combined_autocorrelation_crosscorrelation/theorem_1_1 https://erdosproblems.ai/wiki/library/polynomials/katz_moore_2017_sequence_pairs_lowest_combined_autocorrelation_crosscorrelation/theorem_1_3 https://erdosproblems.ai/wiki/library/polynomials/katz_moore_2017_sequence_pairs_lowest_combined_autocorrelation_crosscorrelation/theorem_1_4 https://erdosproblems.ai/wiki/library/polynomials/katz_moore_2017_sequence_pairs_lowest_combined_autocorrelation_crosscorrelation/theorem_6_6 https://erdosproblems.ai/wiki/library/polynomials/katz_moore_2017_sequence_pairs_lowest_combined_autocorrelation_crosscorrelation/theorem_7_12 https://erdosproblems.ai/wiki/library/polynomials/konyagin_1994_minimum_modulus_random_trigonometric_polynomials_coefficients https://erdosproblems.ai/wiki/library/polynomials/konyagin_1994_minimum_modulus_random_trigonometric_polynomials_coefficients/theorem_1 https://erdosproblems.ai/wiki/library/polynomials/krishnapur_2025_area_polynomial_lemniscates https://erdosproblems.ai/wiki/library/polynomials/krishnapur_2025_area_polynomial_lemniscates/lemma_9 https://erdosproblems.ai/wiki/library/polynomials/krishnapur_2025_area_polynomial_lemniscates/theorem_1 https://erdosproblems.ai/wiki/library/polynomials/krishnapur_2025_area_polynomial_lemniscates/theorem_2 https://erdosproblems.ai/wiki/library/polynomials/krishnapur_2025_area_polynomial_lemniscates/theorem_3 https://erdosproblems.ai/wiki/library/polynomials/krishnapur_2025_area_polynomial_lemniscates/theorem_6 https://erdosproblems.ai/wiki/library/polynomials/krishnapur_2025_area_polynomial_lemniscates/theorem_7 https://erdosproblems.ai/wiki/library/polynomials/krishnapur_2025_area_polynomial_lemniscates/theorem_8 https://erdosproblems.ai/wiki/library/polynomials/krishnapur_2025_area_polynomial_lemniscates/theorem_p2 https://erdosproblems.ai/wiki/library/polynomials/letwin_2026_maxima_littlewood_polynomials_1_1 https://erdosproblems.ai/wiki/library/polynomials/letwin_2026_maxima_littlewood_polynomials_1_1/theorem_1_1 https://erdosproblems.ai/wiki/library/polynomials/letwin_2026_maxima_littlewood_polynomials_1_1/theorem_1_2 https://erdosproblems.ai/wiki/library/polynomials/letwin_2026_maxima_littlewood_polynomials_1_1/theorem_2_7 https://erdosproblems.ai/wiki/library/polynomials/lorch_1976_monotonicity_properties_polynomials_equally_spaced_zeros https://erdosproblems.ai/wiki/library/polynomials/lorch_1976_monotonicity_properties_polynomials_equally_spaced_zeros/conjecture_21 https://erdosproblems.ai/wiki/library/polynomials/lorch_1976_monotonicity_properties_polynomials_equally_spaced_zeros/equation_13 https://erdosproblems.ai/wiki/library/polynomials/lorch_1976_monotonicity_properties_polynomials_equally_spaced_zeros/equation_14 https://erdosproblems.ai/wiki/library/polynomials/lorch_1976_monotonicity_properties_polynomials_equally_spaced_zeros/equations_7_11 https://erdosproblems.ai/wiki/library/polynomials/lorch_1976_monotonicity_properties_polynomials_equally_spaced_zeros/statement_i https://erdosproblems.ai/wiki/library/polynomials/lorch_1976_monotonicity_properties_polynomials_equally_spaced_zeros/statement_ii https://erdosproblems.ai/wiki/library/polynomials/lorch_1976_monotonicity_properties_polynomials_equally_spaced_zeros/statement_iii https://erdosproblems.ai/wiki/library/polynomials/odlyzko_2018_search_ultraflat_polynomials_plus_minus_one_coefficients https://erdosproblems.ai/wiki/library/polynomials/odlyzko_2018_search_ultraflat_polynomials_plus_minus_one_coefficients/conjecture_p4 https://erdosproblems.ai/wiki/library/polynomials/odlyzko_2018_search_ultraflat_polynomials_plus_minus_one_coefficients/conjecture_p5 https://erdosproblems.ai/wiki/library/polynomials/odlyzko_2018_search_ultraflat_polynomials_plus_minus_one_coefficients/conjecture_p9 https://erdosproblems.ai/wiki/library/polynomials/odlyzko_2018_search_ultraflat_polynomials_plus_minus_one_coefficients/exhaustive_search https://erdosproblems.ai/wiki/library/polynomials/openai_2026_asymptotically_minimal_maxima_real_littlewood_polynomials https://erdosproblems.ai/wiki/library/polynomials/openai_2026_asymptotically_minimal_maxima_real_littlewood_polynomials/corollary_7_1 https://erdosproblems.ai/wiki/library/polynomials/openai_2026_asymptotically_minimal_maxima_real_littlewood_polynomials/corollary_8_1 https://erdosproblems.ai/wiki/library/polynomials/openai_2026_asymptotically_minimal_maxima_real_littlewood_polynomials/theorem_1_1 https://erdosproblems.ai/wiki/library/polynomials/openai_2026_circulant_hadamard_conjecture https://erdosproblems.ai/wiki/library/polynomials/openai_2026_circulant_hadamard_conjecture/corollary_1_2 https://erdosproblems.ai/wiki/library/polynomials/openai_2026_circulant_hadamard_conjecture/theorem_1_1 https://erdosproblems.ai/wiki/library/polynomials/openai_2026_nearly_minimal_maxima_positive_minima_littlewood_polynomials https://erdosproblems.ai/wiki/library/polynomials/openai_2026_nearly_minimal_maxima_positive_minima_littlewood_polynomials/theorem_1_1 https://erdosproblems.ai/wiki/library/polynomials/openai_2026_ultraflat_real_littlewood_polynomials https://erdosproblems.ai/wiki/library/polynomials/openai_2026_ultraflat_real_littlewood_polynomials/lemma_3_2 https://erdosproblems.ai/wiki/library/polynomials/openai_2026_ultraflat_real_littlewood_polynomials/proposition_5_1 https://erdosproblems.ai/wiki/library/polynomials/openai_2026_ultraflat_real_littlewood_polynomials/theorem_1 https://erdosproblems.ai/wiki/library/polynomials/rack_2015_optimal_cubic_lagrange_interpolation_extremal_node https://erdosproblems.ai/wiki/library/polynomials/rack_2015_optimal_cubic_lagrange_interpolation_extremal_node/lemma_4_3 https://erdosproblems.ai/wiki/library/polynomials/rack_2015_optimal_cubic_lagrange_interpolation_extremal_node/proposition_2_8 https://erdosproblems.ai/wiki/library/polynomials/rack_2015_optimal_cubic_lagrange_interpolation_extremal_node/theorem_2_5 https://erdosproblems.ai/wiki/library/polynomials/rack_2015_optimal_cubic_lagrange_interpolation_extremal_node/theorem_4_2 https://erdosproblems.ai/wiki/library/polynomials/rack_2015_optimal_cubic_lagrange_interpolation_extremal_node/theorem_5_2 https://erdosproblems.ai/wiki/library/polynomials/rack_2015_optimal_cubic_lagrange_interpolation_extremal_node/theorem_5_4 https://erdosproblems.ai/wiki/library/polynomials/schinzel_1987_number_terms_power_polynomial https://erdosproblems.ai/wiki/library/polynomials/schinzel_2009_number_terms_power_polynomial https://erdosproblems.ai/wiki/library/polynomials/schinzel_2009_number_terms_power_polynomial/theorem_1 https://erdosproblems.ai/wiki/library/polynomials/schinzel_2009_number_terms_power_polynomial/theorem_2 https://erdosproblems.ai/wiki/library/polynomials/tao_2025_maximal_length_erdos_herzog_piranian_lemniscate https://erdosproblems.ai/wiki/library/polynomials/tao_2025_maximal_length_erdos_herzog_piranian_lemniscate/lemma_3_2 https://erdosproblems.ai/wiki/library/polynomials/tao_2025_maximal_length_erdos_herzog_piranian_lemniscate/proposition_1_2 https://erdosproblems.ai/wiki/library/polynomials/tao_2025_maximal_length_erdos_herzog_piranian_lemniscate/theorem_1_1 https://erdosproblems.ai/wiki/library/polynomials/tao_2026_local_bernstein_theory_lower_bounds_lebesgue https://erdosproblems.ai/wiki/library/polynomials/tao_2026_local_bernstein_theory_lower_bounds_lebesgue/corollary_1_11 https://erdosproblems.ai/wiki/library/polynomials/tao_2026_local_bernstein_theory_lower_bounds_lebesgue/evidence https://erdosproblems.ai/wiki/library/polynomials/tao_2026_local_bernstein_theory_lower_bounds_lebesgue/evidence/verify https://erdosproblems.ai/wiki/library/polynomials/tao_2026_local_bernstein_theory_lower_bounds_lebesgue/evidence/verify/transfer_review https://erdosproblems.ai/wiki/library/polynomials/tao_2026_local_bernstein_theory_lower_bounds_lebesgue/theorem_1_10_i_transfer https://erdosproblems.ai/wiki/library/polynomials/tao_2026_local_bernstein_theory_lower_bounds_lebesgue/theorem_1_10_ii https://erdosproblems.ai/wiki/library/polynomials/tao_2026_local_bernstein_theory_lower_bounds_lebesgue/theorem_1_13 https://erdosproblems.ai/wiki/library/polynomials/tao_2026_local_bernstein_theory_lower_bounds_lebesgue/theorem_1_6 https://erdosproblems.ai/wiki/library/polynomials/vertesi_2013_paul_erdos_interpolation_problems_results_new https://erdosproblems.ai/wiki/library/polynomials/vertesi_2013_paul_erdos_interpolation_problems_results_new/theorem_2_2 https://erdosproblems.ai/wiki/library/polynomials/vertesi_2013_paul_erdos_interpolation_problems_results_new/theorem_2_3 https://erdosproblems.ai/wiki/library/polynomials/vertesi_2013_paul_erdos_interpolation_problems_results_new/theorem_2_4 https://erdosproblems.ai/wiki/library/polynomials/vertesi_2013_paul_erdos_interpolation_problems_results_new/theorem_3_1 https://erdosproblems.ai/wiki/library/polynomials/vertesi_2013_paul_erdos_interpolation_problems_results_new/theorem_4_1 https://erdosproblems.ai/wiki/library/polynomials/vertesi_2013_paul_erdos_interpolation_problems_results_new/theorem_4_2 https://erdosproblems.ai/wiki/library/polynomials/wang_2026_proposed_complete_solution_erdos_problem_1038 https://erdosproblems.ai/wiki/library/polynomials/yakir_2021_approximately_half_roots_random_littlewood_polynomial https://erdosproblems.ai/wiki/library/polynomials/yakir_2021_approximately_half_roots_random_littlewood_polynomial/lemma_1_3 https://erdosproblems.ai/wiki/library/polynomials/yakir_2021_approximately_half_roots_random_littlewood_polynomial/theorem_1 https://erdosproblems.ai/wiki/library/primes https://erdosproblems.ai/wiki/library/primes/alkan_2022_generalization_hardy_littlewood_conjecture https://erdosproblems.ai/wiki/library/primes/axler_2018_new_estimates_some_functions_defined_over_primes https://erdosproblems.ai/wiki/library/primes/axler_2019_some_results_conjecture_hardy_littlewood https://erdosproblems.ai/wiki/library/primes/axler_2019_some_results_conjecture_hardy_littlewood/proposition_2_4 https://erdosproblems.ai/wiki/library/primes/axler_2019_some_results_conjecture_hardy_littlewood/proposition_5_1 https://erdosproblems.ai/wiki/library/primes/axler_2019_some_results_conjecture_hardy_littlewood/theorem_1_1 https://erdosproblems.ai/wiki/library/primes/axler_2019_some_results_conjecture_hardy_littlewood/theorem_1_2 https://erdosproblems.ai/wiki/library/primes/axler_2019_some_results_conjecture_hardy_littlewood/theorem_1_3 https://erdosproblems.ai/wiki/library/primes/axler_2019_some_results_conjecture_hardy_littlewood/theorem_1_4 https://erdosproblems.ai/wiki/library/primes/axler_2019_some_results_conjecture_hardy_littlewood/theorem_1_5 https://erdosproblems.ai/wiki/library/primes/baker_2001_difference_between_consecutive_primes https://erdosproblems.ai/wiki/library/primes/baker_2001_difference_between_consecutive_primes/theorem_1 https://erdosproblems.ai/wiki/library/primes/banks_2016_limit_points_sequence_normalized_prime_gaps https://erdosproblems.ai/wiki/library/primes/banks_2016_limit_points_sequence_normalized_prime_gaps/corollary_1_2 https://erdosproblems.ai/wiki/library/primes/banks_2016_limit_points_sequence_normalized_prime_gaps/theorem_1_1 https://erdosproblems.ai/wiki/library/primes/banks_2016_limit_points_sequence_normalized_prime_gaps/theorem_1_3 https://erdosproblems.ai/wiki/library/primes/banks_2023_ratios_consecutive_prime_gaps https://erdosproblems.ai/wiki/library/primes/blecksmith_1999_cluster_primes https://erdosproblems.ai/wiki/library/primes/blecksmith_1999_cluster_primes/conjecture_p45 https://erdosproblems.ai/wiki/library/primes/blecksmith_1999_cluster_primes/definition_p43 https://erdosproblems.ai/wiki/library/primes/blecksmith_1999_cluster_primes/theorem_1 https://erdosproblems.ai/wiki/library/primes/blecksmith_1999_cluster_primes/theorem_2 https://erdosproblems.ai/wiki/library/primes/chahal_et_al_2025_second_hardy_littlewood_conjecture https://erdosproblems.ai/wiki/library/primes/chahal_et_al_2025_second_hardy_littlewood_conjecture/corollary_1_2 https://erdosproblems.ai/wiki/library/primes/chahal_et_al_2025_second_hardy_littlewood_conjecture/corollary_1_4 https://erdosproblems.ai/wiki/library/primes/chahal_et_al_2025_second_hardy_littlewood_conjecture/corollary_1_5 https://erdosproblems.ai/wiki/library/primes/chahal_et_al_2025_second_hardy_littlewood_conjecture/theorem_1_1 https://erdosproblems.ai/wiki/library/primes/chen_2022_conjecture_erdos https://erdosproblems.ai/wiki/library/primes/chen_2023_conjecture_erdos_p_2_k https://erdosproblems.ai/wiki/library/primes/chen_2023_conjecture_erdos_p_2_k/theorem_1_1 https://erdosproblems.ai/wiki/library/primes/chen_2023_conjecture_erdos_p_2_k/theorem_1_15 https://erdosproblems.ai/wiki/library/primes/chen_2023_conjecture_erdos_p_2_k/theorem_1_3 https://erdosproblems.ai/wiki/library/primes/chen_2023_conjecture_erdos_p_2_k/theorem_1_5 https://erdosproblems.ai/wiki/library/primes/chen_2023_conjecture_erdos_p_2_k/theorem_1_9 https://erdosproblems.ai/wiki/library/primes/chen_2023_conjecture_erdos_p_2_k/theorem_3_1 https://erdosproblems.ai/wiki/library/primes/chojecki_2026_note_erdos_problem_1201 https://erdosproblems.ai/wiki/library/primes/chojecki_2026_note_erdos_problem_1201/theorem_1 https://erdosproblems.ai/wiki/library/primes/clark_jarvis_2001_dense_admissible_sequences https://erdosproblems.ai/wiki/library/primes/clark_jarvis_2001_dense_admissible_sequences/conjecture_b https://erdosproblems.ai/wiki/library/primes/clark_jarvis_2001_dense_admissible_sequences/result_p1716 https://erdosproblems.ai/wiki/library/primes/clark_jarvis_2001_dense_admissible_sequences/result_p1717 https://erdosproblems.ai/wiki/library/primes/clark_jarvis_2001_dense_admissible_sequences/table_5 https://erdosproblems.ai/wiki/library/primes/cramer_1936_order_magnitude_difference_between_consecutive_prime https://erdosproblems.ai/wiki/library/primes/ding_2025_two_romanoff_type_problems_erdos https://erdosproblems.ai/wiki/library/primes/doorn_2026_optimal_bounds_erdos_problem_matching_integers https://erdosproblems.ai/wiki/library/primes/doorn_2026_optimal_bounds_erdos_problem_matching_integers/lemma_2_3 https://erdosproblems.ai/wiki/library/primes/doorn_2026_optimal_bounds_erdos_problem_matching_integers/remark_3_3 https://erdosproblems.ai/wiki/library/primes/doorn_2026_optimal_bounds_erdos_problem_matching_integers/source_digest https://erdosproblems.ai/wiki/library/primes/doorn_2026_optimal_bounds_erdos_problem_matching_integers/theorem_2_1 https://erdosproblems.ai/wiki/library/primes/doorn_2026_optimal_bounds_erdos_problem_matching_integers/theorem_3_1 https://erdosproblems.ai/wiki/library/primes/doorn_2026_optimal_bounds_erdos_problem_matching_integers/theorem_4_1 https://erdosproblems.ai/wiki/library/primes/dusart_1999_kth_prime_lower_bound https://erdosproblems.ai/wiki/library/primes/dusart_1999_kth_prime_lower_bound/calculus_bounds https://erdosproblems.ai/wiki/library/primes/dusart_1999_kth_prime_lower_bound/evidence https://erdosproblems.ai/wiki/library/primes/dusart_1999_kth_prime_lower_bound/external_estimates https://erdosproblems.ai/wiki/library/primes/dusart_1999_kth_prime_lower_bound/further_results https://erdosproblems.ai/wiki/library/primes/dusart_1999_kth_prime_lower_bound/incomplete_bessel_bounds https://erdosproblems.ai/wiki/library/primes/dusart_1999_kth_prime_lower_bound/lemma_1 https://erdosproblems.ai/wiki/library/primes/dusart_1999_kth_prime_lower_bound/numerical_certificate https://erdosproblems.ai/wiki/library/primes/dusart_1999_kth_prime_lower_bound/theorem_1 https://erdosproblems.ai/wiki/library/primes/dusart_1999_kth_prime_lower_bound/theorem_2 https://erdosproblems.ai/wiki/library/primes/dusart_1999_kth_prime_lower_bound/theorem_3 https://erdosproblems.ai/wiki/library/primes/dusart_2002_sur_la_conjecture_pi_x_y_pi_x_pi_y https://erdosproblems.ai/wiki/library/primes/elsholtz_2001_inverse_goldbach_problem https://erdosproblems.ai/wiki/library/primes/elsholtz_2001_inverse_goldbach_problem/corollary_p2 https://erdosproblems.ai/wiki/library/primes/elsholtz_2001_inverse_goldbach_problem/theorem_p1 https://erdosproblems.ai/wiki/library/primes/elsholtz_2003_cluster_primes https://erdosproblems.ai/wiki/library/primes/elsholtz_2015_additive_decompositions_sets_restricted_prime_factors https://erdosproblems.ai/wiki/library/primes/elsholtz_2015_additive_decompositions_sets_restricted_prime_factors/corollary_2_2 https://erdosproblems.ai/wiki/library/primes/elsholtz_2015_additive_decompositions_sets_restricted_prime_factors/corollary_2_5 https://erdosproblems.ai/wiki/library/primes/elsholtz_2015_additive_decompositions_sets_restricted_prime_factors/theorem_2_1 https://erdosproblems.ai/wiki/library/primes/elsholtz_2015_additive_decompositions_sets_restricted_prime_factors/theorem_2_3 https://erdosproblems.ai/wiki/library/primes/elsholtz_2015_additive_decompositions_sets_restricted_prime_factors/theorem_2_4 https://erdosproblems.ai/wiki/library/primes/elsholtz_2015_additive_decompositions_sets_restricted_prime_factors/theorem_2_6 https://erdosproblems.ai/wiki/library/primes/elsholtz_2015_additive_decompositions_sets_restricted_prime_factors/theorem_4_1 https://erdosproblems.ai/wiki/library/primes/erdos_1948_new_questions_distribution_prime_numbers https://erdosproblems.ai/wiki/library/primes/erdos_1948_new_questions_distribution_prime_numbers/lemma_p372 https://erdosproblems.ai/wiki/library/primes/erdos_1948_new_questions_distribution_prime_numbers/question_1 https://erdosproblems.ai/wiki/library/primes/erdos_1948_new_questions_distribution_prime_numbers/theorem_1 https://erdosproblems.ai/wiki/library/primes/erdos_1948_new_questions_distribution_prime_numbers/theorem_2 https://erdosproblems.ai/wiki/library/primes/erdos_1948_new_questions_distribution_prime_numbers/theorem_3 https://erdosproblems.ai/wiki/library/primes/erdos_1949_applications_brun_s_method https://erdosproblems.ai/wiki/library/primes/erdos_1949_applications_brun_s_method/theorem_1 https://erdosproblems.ai/wiki/library/primes/erdos_1949_applications_brun_s_method/theorem_2 https://erdosproblems.ai/wiki/library/primes/erdos_1949_applications_brun_s_method/theorem_3 https://erdosproblems.ai/wiki/library/primes/erdos_1950_integers_form_related_problems https://erdosproblems.ai/wiki/library/primes/erdos_1950_integers_form_related_problems/conjecture_p115 https://erdosproblems.ai/wiki/library/primes/erdos_1950_integers_form_related_problems/conjecture_p120 https://erdosproblems.ai/wiki/library/primes/erdos_1950_integers_form_related_problems/theorem_1 https://erdosproblems.ai/wiki/library/primes/erdos_1950_integers_form_related_problems/theorem_2 https://erdosproblems.ai/wiki/library/primes/erdos_1950_integers_form_related_problems/theorem_3 https://erdosproblems.ai/wiki/library/primes/erdos_1950_integers_form_related_problems/theorem_4 https://erdosproblems.ai/wiki/library/primes/erdos_1955_remarks_number_theory_hebrew https://erdosproblems.ai/wiki/library/primes/erdos_1955_remarks_number_theory_hebrew/conjecture_p48 https://erdosproblems.ai/wiki/library/primes/erdos_1955_remarks_number_theory_hebrew/inequality_11 https://erdosproblems.ai/wiki/library/primes/erdos_1955_remarks_number_theory_hebrew/main_theorem https://erdosproblems.ai/wiki/library/primes/erdos_1955_remarks_number_theory_hebrew/theorem_p47 https://erdosproblems.ai/wiki/library/primes/erdos_1976_problems_results_consecutive_integers https://erdosproblems.ai/wiki/library/primes/erdos_1976_problems_results_consecutive_integers/inequality_1 https://erdosproblems.ai/wiki/library/primes/erdos_1976_problems_results_consecutive_integers/inequality_6 https://erdosproblems.ai/wiki/library/primes/erdos_1980_matching_natural_numbers_up_n_distinct https://erdosproblems.ai/wiki/library/primes/erdos_1980_matching_natural_numbers_up_n_distinct/inequality_11 https://erdosproblems.ai/wiki/library/primes/erdos_1980_matching_natural_numbers_up_n_distinct/theorem_2 https://erdosproblems.ai/wiki/library/primes/erdos_1980_matching_natural_numbers_up_n_distinct/theorem_3 https://erdosproblems.ai/wiki/library/primes/erdos_1980_matching_natural_numbers_up_n_distinct/theorem_4 https://erdosproblems.ai/wiki/library/primes/erdos_1980_small_sieve https://erdosproblems.ai/wiki/library/primes/erdos_1980_small_sieve/claim_p386 https://erdosproblems.ai/wiki/library/primes/erdos_1980_small_sieve/corollary_p387 https://erdosproblems.ai/wiki/library/primes/erdos_1980_small_sieve/lemma_2_1 https://erdosproblems.ai/wiki/library/primes/erdos_1980_small_sieve/problem_1 https://erdosproblems.ai/wiki/library/primes/erdos_1980_small_sieve/problem_2 https://erdosproblems.ai/wiki/library/primes/erdos_1980_small_sieve/theorem_1 https://erdosproblems.ai/wiki/library/primes/erdos_1980_small_sieve/theorem_2 https://erdosproblems.ai/wiki/library/primes/erdos_1980_small_sieve/theorem_3 https://erdosproblems.ai/wiki/library/primes/erdos_1985_my_problems_number_theory_i_would https://erdosproblems.ai/wiki/library/primes/erdos_1985_my_problems_number_theory_i_would/conjecture_13 https://erdosproblems.ai/wiki/library/primes/erdos_1985_my_problems_number_theory_i_would/question_p79_distinct_gaps https://erdosproblems.ai/wiki/library/primes/erdos_1985_my_problems_number_theory_i_would/question_p80_missing_gap https://erdosproblems.ai/wiki/library/primes/erdos_1985_my_problems_number_theory_i_would/question_p80_totative_gaps https://erdosproblems.ai/wiki/library/primes/erdos_1985_my_problems_number_theory_i_would/theorem_p80_limit_points https://erdosproblems.ai/wiki/library/primes/florez_2019_distribution_generalized_greatest_common_divisor_visibility https://erdosproblems.ai/wiki/library/primes/florez_2019_distribution_generalized_greatest_common_divisor_visibility/corollary_5 https://erdosproblems.ai/wiki/library/primes/florez_2019_distribution_generalized_greatest_common_divisor_visibility/theorem_2 https://erdosproblems.ai/wiki/library/primes/florez_2019_distribution_generalized_greatest_common_divisor_visibility/theorem_4 https://erdosproblems.ai/wiki/library/primes/florez_2019_distribution_generalized_greatest_common_divisor_visibility/theorem_5 https://erdosproblems.ai/wiki/library/primes/florez_2019_distribution_generalized_greatest_common_divisor_visibility/theorem_6 https://erdosproblems.ai/wiki/library/primes/florez_2019_distribution_generalized_greatest_common_divisor_visibility/theorem_7 https://erdosproblems.ai/wiki/library/primes/florez_2019_distribution_generalized_greatest_common_divisor_visibility/theorem_8 https://erdosproblems.ai/wiki/library/primes/fourn_2025_percolative_properties_random_coprime_colouring https://erdosproblems.ai/wiki/library/primes/gafni_2025_rough_numbers_between_consecutive_primes https://erdosproblems.ai/wiki/library/primes/goldston_2009_primes_tuples_i https://erdosproblems.ai/wiki/library/primes/goldston_2009_primes_tuples_i/theorem_1 https://erdosproblems.ai/wiki/library/primes/goldston_2009_primes_tuples_i/theorem_2 https://erdosproblems.ai/wiki/library/primes/goldston_2009_primes_tuples_i/theorem_3 https://erdosproblems.ai/wiki/library/primes/granville_1990_note_sums_primes https://erdosproblems.ai/wiki/library/primes/granville_1990_note_sums_primes/theorem https://erdosproblems.ai/wiki/library/primes/granville_1995_harald_cramer_distribution_prime_numbers https://erdosproblems.ai/wiki/library/primes/granville_1995_harald_cramer_distribution_prime_numbers/equation_14 https://erdosproblems.ai/wiki/library/primes/granville_1995_harald_cramer_distribution_prime_numbers/heuristic_p24 https://erdosproblems.ai/wiki/library/primes/green_2017_arithmetic_kakeya_conjecture_katz_tao https://erdosproblems.ai/wiki/library/primes/green_2017_arithmetic_kakeya_conjecture_katz_tao/proposition_4_1 https://erdosproblems.ai/wiki/library/primes/green_2017_arithmetic_kakeya_conjecture_katz_tao/theorem_1_1 https://erdosproblems.ai/wiki/library/primes/green_2017_arithmetic_kakeya_conjecture_katz_tao/theorem_1_2 https://erdosproblems.ai/wiki/library/primes/green_2017_arithmetic_kakeya_conjecture_katz_tao/theorem_1_3 https://erdosproblems.ai/wiki/library/primes/hensley_1974_primes_intervals https://erdosproblems.ai/wiki/library/primes/hensley_1974_primes_intervals/lemma_5 https://erdosproblems.ai/wiki/library/primes/hensley_1974_primes_intervals/theorem https://erdosproblems.ai/wiki/library/primes/herzog_1971_patterns_visible_nonvisible_lattice_points https://erdosproblems.ai/wiki/library/primes/herzog_1971_patterns_visible_nonvisible_lattice_points/corollary_2 https://erdosproblems.ai/wiki/library/primes/herzog_1971_patterns_visible_nonvisible_lattice_points/theorem_1 https://erdosproblems.ai/wiki/library/primes/herzog_1971_patterns_visible_nonvisible_lattice_points/theorem_2 https://erdosproblems.ai/wiki/library/primes/johnston_yang_2022_some_explicit_estimates_error_term_prime_number_theorem https://erdosproblems.ai/wiki/library/primes/johnston_yang_2022_some_explicit_estimates_error_term_prime_number_theorem/corollary_1_2 https://erdosproblems.ai/wiki/library/primes/johnston_yang_2022_some_explicit_estimates_error_term_prime_number_theorem/corollary_1_3 https://erdosproblems.ai/wiki/library/primes/johnston_yang_2022_some_explicit_estimates_error_term_prime_number_theorem/lemma_2_2 https://erdosproblems.ai/wiki/library/primes/johnston_yang_2022_some_explicit_estimates_error_term_prime_number_theorem/theorem_1_1 https://erdosproblems.ai/wiki/library/primes/johnston_yang_2022_some_explicit_estimates_error_term_prime_number_theorem/theorem_1_4 https://erdosproblems.ai/wiki/library/primes/johnston_yang_2022_some_explicit_estimates_error_term_prime_number_theorem/theorem_1_5 https://erdosproblems.ai/wiki/library/primes/kuperberg_2023_sums_singular_series_large_sets_tail https://erdosproblems.ai/wiki/library/primes/kuperberg_2023_sums_singular_series_large_sets_tail/conjecture_1_3 https://erdosproblems.ai/wiki/library/primes/lebowitz_lockard_2025_increasing_sequences_decreasing_prime_factors https://erdosproblems.ai/wiki/library/primes/martineau_2022_coprime_percolation_visibility_graphon_local_limit https://erdosproblems.ai/wiki/library/primes/martineau_2022_coprime_percolation_visibility_graphon_local_limit/proposition_2_3 https://erdosproblems.ai/wiki/library/primes/martineau_2022_coprime_percolation_visibility_graphon_local_limit/proposition_2_4 https://erdosproblems.ai/wiki/library/primes/martineau_2022_coprime_percolation_visibility_graphon_local_limit/proposition_2_7 https://erdosproblems.ai/wiki/library/primes/martineau_2022_coprime_percolation_visibility_graphon_local_limit/proposition_3_5 https://erdosproblems.ai/wiki/library/primes/martineau_2022_coprime_percolation_visibility_graphon_local_limit/proposition_3_6 https://erdosproblems.ai/wiki/library/primes/martineau_2022_coprime_percolation_visibility_graphon_local_limit/remark_p13 https://erdosproblems.ai/wiki/library/primes/martineau_2022_coprime_percolation_visibility_graphon_local_limit/theorem_1_1 https://erdosproblems.ai/wiki/library/primes/martineau_2022_coprime_percolation_visibility_graphon_local_limit/theorem_2_1 https://erdosproblems.ai/wiki/library/primes/matomaki_2016_multiplicative_functions_short_intervals https://erdosproblems.ai/wiki/library/primes/matomaki_2016_multiplicative_functions_short_intervals/corollary_1 https://erdosproblems.ai/wiki/library/primes/matomaki_2016_multiplicative_functions_short_intervals/corollary_2 https://erdosproblems.ai/wiki/library/primes/matomaki_2016_multiplicative_functions_short_intervals/corollary_3 https://erdosproblems.ai/wiki/library/primes/matomaki_2016_multiplicative_functions_short_intervals/corollary_4 https://erdosproblems.ai/wiki/library/primes/matomaki_2016_multiplicative_functions_short_intervals/corollary_5 https://erdosproblems.ai/wiki/library/primes/matomaki_2016_multiplicative_functions_short_intervals/corollary_6 https://erdosproblems.ai/wiki/library/primes/matomaki_2016_multiplicative_functions_short_intervals/theorem_1 https://erdosproblems.ai/wiki/library/primes/matomaki_2016_multiplicative_functions_short_intervals/theorem_2 https://erdosproblems.ai/wiki/library/primes/maynard_2015_small_gaps_between_primes https://erdosproblems.ai/wiki/library/primes/maynard_2015_small_gaps_between_primes/proposition_4_2 https://erdosproblems.ai/wiki/library/primes/maynard_2015_small_gaps_between_primes/theorem_1_1 https://erdosproblems.ai/wiki/library/primes/maynard_2015_small_gaps_between_primes/theorem_1_2 https://erdosproblems.ai/wiki/library/primes/maynard_2015_small_gaps_between_primes/theorem_1_3 https://erdosproblems.ai/wiki/library/primes/maynard_2015_small_gaps_between_primes/theorem_1_4 https://erdosproblems.ai/wiki/library/primes/maynard_2016_large_gaps_between_primes https://erdosproblems.ai/wiki/library/primes/maynard_2016_large_gaps_between_primes/proposition_5 https://erdosproblems.ai/wiki/library/primes/maynard_2016_large_gaps_between_primes/theorem_1 https://erdosproblems.ai/wiki/library/primes/mcnew_2018_convex_hull_prime_number_graph https://erdosproblems.ai/wiki/library/primes/mcnew_2018_convex_hull_prime_number_graph/midpoint_convex_primes_p13 https://erdosproblems.ai/wiki/library/primes/mcnew_2018_convex_hull_prime_number_graph/theorem_2_2 https://erdosproblems.ai/wiki/library/primes/mcnew_2018_convex_hull_prime_number_graph/theorem_2_3 https://erdosproblems.ai/wiki/library/primes/mcnew_2018_convex_hull_prime_number_graph/theorem_2_4 https://erdosproblems.ai/wiki/library/primes/mcnew_2018_convex_hull_prime_number_graph/theorem_3_2 https://erdosproblems.ai/wiki/library/primes/mcnew_2018_convex_hull_prime_number_graph/theorem_4_2 https://erdosproblems.ai/wiki/library/primes/merikoski_2020_limit_points_normalized_prime_gaps https://erdosproblems.ai/wiki/library/primes/merikoski_2020_limit_points_normalized_prime_gaps/corollary_2 https://erdosproblems.ai/wiki/library/primes/merikoski_2020_limit_points_normalized_prime_gaps/corollary_3 https://erdosproblems.ai/wiki/library/primes/merikoski_2020_limit_points_normalized_prime_gaps/theorem_1 https://erdosproblems.ai/wiki/library/primes/openai_2026_additive_indecomposability_primes https://erdosproblems.ai/wiki/library/primes/openai_2026_additive_indecomposability_primes/theorem_1_1 https://erdosproblems.ai/wiki/library/primes/openai_2026_additive_indecomposability_primes/theorem_2_3 https://erdosproblems.ai/wiki/library/primes/openai_2026_positive_lower_density_large_prime_gaps https://erdosproblems.ai/wiki/library/primes/openai_2026_positive_lower_density_large_prime_gaps/corollary_1_2 https://erdosproblems.ai/wiki/library/primes/openai_2026_positive_lower_density_large_prime_gaps/theorem_1_1 https://erdosproblems.ai/wiki/library/primes/openai_2026_quasi_riemann_hypothesis_zero_free_half_plane_11_12 https://erdosproblems.ai/wiki/library/primes/openai_2026_quasi_riemann_hypothesis_zero_free_half_plane_11_12/corollary_1_2 https://erdosproblems.ai/wiki/library/primes/openai_2026_quasi_riemann_hypothesis_zero_free_half_plane_11_12/theorem_1_1 https://erdosproblems.ai/wiki/library/primes/openai_2026_quasi_riemann_hypothesis_zero_free_half_plane_7_8 https://erdosproblems.ai/wiki/library/primes/openai_2026_quasi_riemann_hypothesis_zero_free_half_plane_7_8/corollary_1_2 https://erdosproblems.ai/wiki/library/primes/openai_2026_quasi_riemann_hypothesis_zero_free_half_plane_7_8/theorem_1_1 https://erdosproblems.ai/wiki/library/primes/openai_2026_quasi_riemann_hypothesis_zero_free_half_plane_7_8/theorem_3_1 https://erdosproblems.ai/wiki/library/primes/openai_2026_uniform_exclusion_landau_siegel_zeros https://erdosproblems.ai/wiki/library/primes/openai_2026_uniform_exclusion_landau_siegel_zeros/theorem_1 https://erdosproblems.ai/wiki/library/primes/pintz_2016_polignac_numbers_conjectures_erdos_gaps_primes https://erdosproblems.ai/wiki/library/primes/pintz_2016_polignac_numbers_conjectures_erdos_gaps_primes/main_theorem https://erdosproblems.ai/wiki/library/primes/pintz_2016_polignac_numbers_conjectures_erdos_gaps_primes/theorem_1 https://erdosproblems.ai/wiki/library/primes/pintz_2016_polignac_numbers_conjectures_erdos_gaps_primes/theorem_2 https://erdosproblems.ai/wiki/library/primes/pintz_2016_polignac_numbers_conjectures_erdos_gaps_primes/theorem_3 https://erdosproblems.ai/wiki/library/primes/pintz_2016_polignac_numbers_conjectures_erdos_gaps_primes/theorem_4 https://erdosproblems.ai/wiki/library/primes/pintz_2016_polignac_numbers_conjectures_erdos_gaps_primes/theorem_5 https://erdosproblems.ai/wiki/library/primes/pintz_2016_polignac_numbers_conjectures_erdos_gaps_primes/theorem_6 https://erdosproblems.ai/wiki/library/primes/pollack_2017_bounds_first_several_prime_character_nonresidues https://erdosproblems.ai/wiki/library/primes/pollack_2017_bounds_first_several_prime_character_nonresidues/theorem_1_1 https://erdosproblems.ai/wiki/library/primes/pollack_2017_bounds_first_several_prime_character_nonresidues/theorem_1_2 https://erdosproblems.ai/wiki/library/primes/pollack_2017_bounds_first_several_prime_character_nonresidues/theorem_1_3 https://erdosproblems.ai/wiki/library/primes/pollack_et_al_2013_sets_monotonicity_euler_totient_function https://erdosproblems.ai/wiki/library/primes/pollack_et_al_2013_sets_monotonicity_euler_totient_function/numerics_section_9 https://erdosproblems.ai/wiki/library/primes/pollack_et_al_2013_sets_monotonicity_euler_totient_function/question_p2 https://erdosproblems.ai/wiki/library/primes/pollack_et_al_2013_sets_monotonicity_euler_totient_function/theorem_1_2 https://erdosproblems.ai/wiki/library/primes/pollack_et_al_2013_sets_monotonicity_euler_totient_function/theorem_3_1 https://erdosproblems.ai/wiki/library/primes/pollack_et_al_2013_sets_monotonicity_euler_totient_function/theorem_3_3 https://erdosproblems.ai/wiki/library/primes/pomerance_1979_prime_number_graph https://erdosproblems.ai/wiki/library/primes/ramachandra_1976_grimm_s_problem_relating_factorisation_block https://erdosproblems.ai/wiki/library/primes/ramachandra_1976_grimm_s_problem_relating_factorisation_block/theorem_1 https://erdosproblems.ai/wiki/library/primes/ramachandra_1976_grimm_s_problem_relating_factorisation_block/theorem_2 https://erdosproblems.ai/wiki/library/primes/ramachandra_1976_grimm_s_problem_relating_factorisation_block/theorem_4 https://erdosproblems.ai/wiki/library/primes/richards_1974_incompatibility_two_conjectures_concerning_primes_discussion_use_computers_attacking_theoretical_pro https://erdosproblems.ai/wiki/library/primes/richards_1974_incompatibility_two_conjectures_concerning_primes_discussion_use_computers_attacking_theoretical_pro/corollary_1_10 https://erdosproblems.ai/wiki/library/primes/richards_1974_incompatibility_two_conjectures_concerning_primes_discussion_use_computers_attacking_theoretical_pro/definition_1_7 https://erdosproblems.ai/wiki/library/primes/richards_1974_incompatibility_two_conjectures_concerning_primes_discussion_use_computers_attacking_theoretical_pro/proposition_1_9 https://erdosproblems.ai/wiki/library/primes/richards_1974_incompatibility_two_conjectures_concerning_primes_discussion_use_computers_attacking_theoretical_pro/theorem_4_1 https://erdosproblems.ai/wiki/library/primes/ruzsa_1982_small_sieve_ii_sifting_composite_numbers https://erdosproblems.ai/wiki/library/primes/ruzsa_1982_small_sieve_ii_sifting_composite_numbers/lemma_2_1 https://erdosproblems.ai/wiki/library/primes/ruzsa_1982_small_sieve_ii_sifting_composite_numbers/lemma_2_10 https://erdosproblems.ai/wiki/library/primes/ruzsa_1982_small_sieve_ii_sifting_composite_numbers/lemma_2_2 https://erdosproblems.ai/wiki/library/primes/ruzsa_1982_small_sieve_ii_sifting_composite_numbers/lemma_2_5 https://erdosproblems.ai/wiki/library/primes/ruzsa_1982_small_sieve_ii_sifting_composite_numbers/lemma_2_8 https://erdosproblems.ai/wiki/library/primes/ruzsa_1982_small_sieve_ii_sifting_composite_numbers/theorem_i https://erdosproblems.ai/wiki/library/primes/ruzsa_1982_small_sieve_ii_sifting_composite_numbers/theorem_ii https://erdosproblems.ai/wiki/library/primes/ruzsa_1982_small_sieve_ii_sifting_composite_numbers/theorem_iii https://erdosproblems.ai/wiki/library/primes/ruzsa_1995_few_multiples_many_primes https://erdosproblems.ai/wiki/library/primes/ruzsa_1995_few_multiples_many_primes/theorem https://erdosproblems.ai/wiki/library/primes/segal_1962_x_y_x_y https://erdosproblems.ai/wiki/library/primes/segal_1962_x_y_x_y/lemma_iv https://erdosproblems.ai/wiki/library/primes/segal_1962_x_y_x_y/theorem_i https://erdosproblems.ai/wiki/library/primes/segal_1962_x_y_x_y/theorem_ii https://erdosproblems.ai/wiki/library/primes/shorey_2016_arithmetic_properties_blocks_consecutive_integers https://erdosproblems.ai/wiki/library/primes/shorey_2016_arithmetic_properties_blocks_consecutive_integers/theorem_3_1 https://erdosproblems.ai/wiki/library/primes/shorey_2016_arithmetic_properties_blocks_consecutive_integers/theorem_6_1 https://erdosproblems.ai/wiki/library/primes/shorey_2016_arithmetic_properties_blocks_consecutive_integers/theorem_8_1 https://erdosproblems.ai/wiki/library/primes/shorey_2016_arithmetic_properties_blocks_consecutive_integers/theorem_8_2 https://erdosproblems.ai/wiki/library/primes/shorey_2016_arithmetic_properties_blocks_consecutive_integers/theorem_9_1 https://erdosproblems.ai/wiki/library/primes/stadlmann_2022_mean_square_gap_between_primes https://erdosproblems.ai/wiki/library/primes/stadlmann_2022_mean_square_gap_between_primes/theorem_1 https://erdosproblems.ai/wiki/library/primes/tao_2023_convergence_alternating_series_erdos_assuming_hardy https://erdosproblems.ai/wiki/library/primes/tao_2023_infinite_partial_sumsets_primes https://erdosproblems.ai/wiki/library/primes/tao_2023_infinite_partial_sumsets_primes/corollary_1_6 https://erdosproblems.ai/wiki/library/primes/tao_2023_infinite_partial_sumsets_primes/theorem_1_3 https://erdosproblems.ai/wiki/library/primes/tao_2023_infinite_partial_sumsets_primes/theorem_1_5 https://erdosproblems.ai/wiki/library/primes/tao_2024_monotone_nondecreasing_sequences_euler_totient_function https://erdosproblems.ai/wiki/library/primes/tao_2024_monotone_nondecreasing_sequences_euler_totient_function/composite_barrier https://erdosproblems.ai/wiki/library/primes/tao_2024_monotone_nondecreasing_sequences_euler_totient_function/corollary_1_2 https://erdosproblems.ai/wiki/library/primes/tao_2024_monotone_nondecreasing_sequences_euler_totient_function/dedekind_fibre https://erdosproblems.ai/wiki/library/primes/tao_2024_monotone_nondecreasing_sequences_euler_totient_function/external_context https://erdosproblems.ai/wiki/library/primes/tao_2024_monotone_nondecreasing_sequences_euler_totient_function/half_bound https://erdosproblems.ai/wiki/library/primes/tao_2024_monotone_nondecreasing_sequences_euler_totient_function/lemma_1_5 https://erdosproblems.ai/wiki/library/primes/tao_2024_monotone_nondecreasing_sequences_euler_totient_function/lemma_1_6 https://erdosproblems.ai/wiki/library/primes/tao_2024_monotone_nondecreasing_sequences_euler_totient_function/lemma_1_7 https://erdosproblems.ai/wiki/library/primes/tao_2024_monotone_nondecreasing_sequences_euler_totient_function/lemma_2_1 https://erdosproblems.ai/wiki/library/primes/tao_2024_monotone_nondecreasing_sequences_euler_totient_function/lemma_3_1 https://erdosproblems.ai/wiki/library/primes/tao_2024_monotone_nondecreasing_sequences_euler_totient_function/notation https://erdosproblems.ai/wiki/library/primes/tao_2024_monotone_nondecreasing_sequences_euler_totient_function/proposition_1_4 https://erdosproblems.ai/wiki/library/primes/tao_2024_monotone_nondecreasing_sequences_euler_totient_function/proposition_3_2 https://erdosproblems.ai/wiki/library/primes/tao_2024_monotone_nondecreasing_sequences_euler_totient_function/proposition_3_3 https://erdosproblems.ai/wiki/library/primes/tao_2024_monotone_nondecreasing_sequences_euler_totient_function/proposition_3_4 https://erdosproblems.ai/wiki/library/primes/tao_2024_monotone_nondecreasing_sequences_euler_totient_function/proposition_4_1 https://erdosproblems.ai/wiki/library/primes/tao_2024_monotone_nondecreasing_sequences_euler_totient_function/proposition_4_5 https://erdosproblems.ai/wiki/library/primes/tao_2024_monotone_nondecreasing_sequences_euler_totient_function/remark_2_2 https://erdosproblems.ai/wiki/library/primes/tao_2024_monotone_nondecreasing_sequences_euler_totient_function/remark_4_6 https://erdosproblems.ai/wiki/library/primes/tao_2024_monotone_nondecreasing_sequences_euler_totient_function/remark_4_7 https://erdosproblems.ai/wiki/library/primes/tao_2024_monotone_nondecreasing_sequences_euler_totient_function/strict_transfer https://erdosproblems.ai/wiki/library/primes/tao_2024_monotone_nondecreasing_sequences_euler_totient_function/sum_of_divisors_analogue https://erdosproblems.ai/wiki/library/primes/tao_2024_monotone_nondecreasing_sequences_euler_totient_function/sum_of_divisors_fibre https://erdosproblems.ai/wiki/library/primes/tao_2024_monotone_nondecreasing_sequences_euler_totient_function/theorem_1_1 https://erdosproblems.ai/wiki/library/primes/tschebotareff_1926_density_primes_substitution_class https://erdosproblems.ai/wiki/library/primes/tschebotareff_1926_density_primes_substitution_class/equation_99 https://erdosproblems.ai/wiki/library/primes/tschebotareff_1926_density_primes_substitution_class/satz_p225 https://erdosproblems.ai/wiki/library/primes/vardi_1998_prime_percolation https://erdosproblems.ai/wiki/library/primes/vardi_1998_prime_percolation/conjecture_1_1 https://erdosproblems.ai/wiki/library/primes/vardi_1998_prime_percolation/conjecture_1_2 https://erdosproblems.ai/wiki/library/primes/vardi_1998_prime_percolation/conjecture_1_3 https://erdosproblems.ai/wiki/library/primes/vardi_1998_prime_percolation/proposition_6_1 https://erdosproblems.ai/wiki/library/primes/vardi_1998_prime_percolation/proposition_6_2 https://erdosproblems.ai/wiki/library/primes/vardi_1998_prime_percolation/proposition_6_3 https://erdosproblems.ai/wiki/library/primes/vardi_1998_prime_percolation/question_p277 https://erdosproblems.ai/wiki/library/primes/vardi_1998_prime_percolation/theorem_1_1 https://erdosproblems.ai/wiki/library/primes/vardi_1998_prime_percolation/theorem_7_1 https://erdosproblems.ai/wiki/library/primes/vardi_1999_deterministic_percolation https://erdosproblems.ai/wiki/library/primes/vardi_1999_deterministic_percolation/lemma_7_1 https://erdosproblems.ai/wiki/library/primes/vardi_1999_deterministic_percolation/proposition_3_1 https://erdosproblems.ai/wiki/library/primes/vardi_1999_deterministic_percolation/theorem_3_2 https://erdosproblems.ai/wiki/library/primes/vardi_1999_deterministic_percolation/theorem_3_3 https://erdosproblems.ai/wiki/library/primes/vardi_1999_deterministic_percolation/theorem_3_4 https://erdosproblems.ai/wiki/library/primes/warlimont_1991_problem_posed_i_z_ruzsa https://erdosproblems.ai/wiki/library/primes/warlimont_1991_problem_posed_i_z_ruzsa/equation_1 https://erdosproblems.ai/wiki/library/primes/warlimont_1991_problem_posed_i_z_ruzsa/inequality_2 https://erdosproblems.ai/wiki/library/primes/zhang_2014_bounded_gaps_between_primes https://erdosproblems.ai/wiki/library/primes/zhang_2014_bounded_gaps_between_primes/theorem_1 https://erdosproblems.ai/wiki/library/primes/zhang_2014_bounded_gaps_between_primes/theorem_2 https://erdosproblems.ai/wiki/library/ramsey_theory https://erdosproblems.ai/wiki/library/ramsey_theory/ageron_2021_new_lower_bounds_schur_weak_schur https://erdosproblems.ai/wiki/library/ramsey_theory/ageron_2021_new_lower_bounds_schur_weak_schur/corollary_2_9 https://erdosproblems.ai/wiki/library/ramsey_theory/ageron_2021_new_lower_bounds_schur_weak_schur/inequality_6 https://erdosproblems.ai/wiki/library/ramsey_theory/ageron_2021_new_lower_bounds_schur_weak_schur/theorem_2_3 https://erdosproblems.ai/wiki/library/ramsey_theory/ageron_2021_new_lower_bounds_schur_weak_schur/theorem_3_1 https://erdosproblems.ai/wiki/library/ramsey_theory/ageron_2021_new_lower_bounds_schur_weak_schur/theorem_3_17 https://erdosproblems.ai/wiki/library/ramsey_theory/ajtai_1980_note_ramsey_numbers https://erdosproblems.ai/wiki/library/ramsey_theory/ajtai_1980_note_ramsey_numbers/theorem_2 https://erdosproblems.ai/wiki/library/ramsey_theory/ajtai_1980_note_ramsey_numbers/theorem_3 https://erdosproblems.ai/wiki/library/ramsey_theory/ajtai_1980_note_ramsey_numbers/theorem_6 https://erdosproblems.ai/wiki/library/ramsey_theory/alon_1994_subdivided_graphs_have_linear_ramsey_numbers https://erdosproblems.ai/wiki/library/ramsey_theory/alon_1994_subdivided_graphs_have_linear_ramsey_numbers/corollary_1_2 https://erdosproblems.ai/wiki/library/ramsey_theory/alon_1994_subdivided_graphs_have_linear_ramsey_numbers/proposition_1_3 https://erdosproblems.ai/wiki/library/ramsey_theory/alon_1994_subdivided_graphs_have_linear_ramsey_numbers/theorem_1_1 https://erdosproblems.ai/wiki/library/ramsey_theory/alon_1999_norm_graphs_variations_applications https://erdosproblems.ai/wiki/library/ramsey_theory/alon_1999_norm_graphs_variations_applications/corollary_6 https://erdosproblems.ai/wiki/library/ramsey_theory/alon_1999_norm_graphs_variations_applications/theorem_3 https://erdosproblems.ai/wiki/library/ramsey_theory/alon_1999_norm_graphs_variations_applications/theorem_8 https://erdosproblems.ai/wiki/library/ramsey_theory/alon_2005_sharp_bounds_some_multicolor_ramsey_numbers https://erdosproblems.ai/wiki/library/ramsey_theory/alon_2005_sharp_bounds_some_multicolor_ramsey_numbers/conjecture_1_1 https://erdosproblems.ai/wiki/library/ramsey_theory/alon_2005_sharp_bounds_some_multicolor_ramsey_numbers/theorem_3_2 https://erdosproblems.ai/wiki/library/ramsey_theory/alweiss_2023_monochromatic_sums_products_over https://erdosproblems.ai/wiki/library/ramsey_theory/alweiss_2023_monochromatic_sums_products_over/conjecture_1_1 https://erdosproblems.ai/wiki/library/ramsey_theory/alweiss_2023_monochromatic_sums_products_over/theorem_1_3 https://erdosproblems.ai/wiki/library/ramsey_theory/aragao_2025_exponential_upper_bound_induced_ramsey_numbers https://erdosproblems.ai/wiki/library/ramsey_theory/aragao_2025_exponential_upper_bound_induced_ramsey_numbers/theorem_1_1 https://erdosproblems.ai/wiki/library/ramsey_theory/axenovich_2024_rainbow_subgraphs_edge_colored_complete_graphs https://erdosproblems.ai/wiki/library/ramsey_theory/axenovich_2024_rainbow_subgraphs_edge_colored_complete_graphs/conjecture_1_3 https://erdosproblems.ai/wiki/library/ramsey_theory/axenovich_2024_rainbow_subgraphs_edge_colored_complete_graphs/theorem_1_2 https://erdosproblems.ai/wiki/library/ramsey_theory/axenovich_2024_rainbow_subgraphs_edge_colored_complete_graphs/theorem_1_4 https://erdosproblems.ai/wiki/library/ramsey_theory/axenovich_2024_rainbow_subgraphs_edge_colored_complete_graphs/theorem_3_3 https://erdosproblems.ai/wiki/library/ramsey_theory/axenovich_2025_improved_upper_bound_multicolour_ramsey_number https://erdosproblems.ai/wiki/library/ramsey_theory/axenovich_2025_improved_upper_bound_multicolour_ramsey_number/theorem_1_1 https://erdosproblems.ai/wiki/library/ramsey_theory/axenovich_2025_improved_upper_bound_multicolour_ramsey_number/theorem_1_2 https://erdosproblems.ai/wiki/library/ramsey_theory/bai_2026_new_tower_type_lower_bounds_hypergraph https://erdosproblems.ai/wiki/library/ramsey_theory/bai_2026_new_tower_type_lower_bounds_hypergraph/theorem_1_2 https://erdosproblems.ai/wiki/library/ramsey_theory/bai_2026_new_tower_type_lower_bounds_hypergraph/theorem_1_3 https://erdosproblems.ai/wiki/library/ramsey_theory/balister_2024_upper_bounds_multicolour_ramsey_numbers https://erdosproblems.ai/wiki/library/ramsey_theory/balister_2024_upper_bounds_multicolour_ramsey_numbers/lemma_3_1 https://erdosproblems.ai/wiki/library/ramsey_theory/balister_2024_upper_bounds_multicolour_ramsey_numbers/theorem_1_1 https://erdosproblems.ai/wiki/library/ramsey_theory/balister_2024_upper_bounds_multicolour_ramsey_numbers/theorem_2_1 https://erdosproblems.ai/wiki/library/ramsey_theory/balister_2024_upper_bounds_multicolour_ramsey_numbers/theorem_5_1 https://erdosproblems.ai/wiki/library/ramsey_theory/balogh_2017_improved_lower_bound_folkman_theorem https://erdosproblems.ai/wiki/library/ramsey_theory/balogh_2017_improved_lower_bound_folkman_theorem/theorem_1_1 https://erdosproblems.ai/wiki/library/ramsey_theory/baumgartner_1974_improvement_partition_theorem_erdos_rado https://erdosproblems.ai/wiki/library/ramsey_theory/baumgartner_1974_improvement_partition_theorem_erdos_rado/main_theorem https://erdosproblems.ai/wiki/library/ramsey_theory/baumgartner_1974_short_proof_hindman_theorem https://erdosproblems.ai/wiki/library/ramsey_theory/baumgartner_1974_short_proof_hindman_theorem/theorem_1 https://erdosproblems.ai/wiki/library/ramsey_theory/baumgartner_1974_short_proof_hindman_theorem/theorem_2 https://erdosproblems.ai/wiki/library/ramsey_theory/beck_1980_remark_concerning_arithmetic_progressions https://erdosproblems.ai/wiki/library/ramsey_theory/beck_1980_remark_concerning_arithmetic_progressions/theorem https://erdosproblems.ai/wiki/library/ramsey_theory/beck_1990_size_ramsey_number_paths_trees_circuits_ii https://erdosproblems.ai/wiki/library/ramsey_theory/beck_1990_size_ramsey_number_paths_trees_circuits_ii/problem_p36 https://erdosproblems.ai/wiki/library/ramsey_theory/beck_1990_size_ramsey_number_paths_trees_circuits_ii/remark_p34 https://erdosproblems.ai/wiki/library/ramsey_theory/beck_1990_size_ramsey_number_paths_trees_circuits_ii/theorem_3 https://erdosproblems.ai/wiki/library/ramsey_theory/benevides_2009_3_colored_ramsey_number_even_cycles https://erdosproblems.ai/wiki/library/ramsey_theory/benevides_2009_3_colored_ramsey_number_even_cycles/theorem_1 https://erdosproblems.ai/wiki/library/ramsey_theory/bermond_1974_some_ramsey_numbers_directed_graphs https://erdosproblems.ai/wiki/library/ramsey_theory/bermond_1974_some_ramsey_numbers_directed_graphs/proposition_2_4 https://erdosproblems.ai/wiki/library/ramsey_theory/bermond_1974_some_ramsey_numbers_directed_graphs/proposition_2_5 https://erdosproblems.ai/wiki/library/ramsey_theory/bermond_1974_some_ramsey_numbers_directed_graphs/proposition_2_7 https://erdosproblems.ai/wiki/library/ramsey_theory/bermond_1974_some_ramsey_numbers_directed_graphs/theorem_2_2 https://erdosproblems.ai/wiki/library/ramsey_theory/bermond_1974_some_ramsey_numbers_directed_graphs/theorem_2_3 https://erdosproblems.ai/wiki/library/ramsey_theory/bermond_1974_some_ramsey_numbers_directed_graphs/theorem_3_5 https://erdosproblems.ai/wiki/library/ramsey_theory/bikov_2020_independence_number_ramsey_graphs_folkman_number https://erdosproblems.ai/wiki/library/ramsey_theory/bohman_2010_early_evolution_free_process https://erdosproblems.ai/wiki/library/ramsey_theory/bohman_2010_early_evolution_free_process/theorem_1_2 https://erdosproblems.ai/wiki/library/ramsey_theory/bohman_2010_early_evolution_free_process/theorem_1_3 https://erdosproblems.ai/wiki/library/ramsey_theory/bohman_2021_dynamic_concentration_triangle_free_process https://erdosproblems.ai/wiki/library/ramsey_theory/bohman_2021_dynamic_concentration_triangle_free_process/theorem_1_1 https://erdosproblems.ai/wiki/library/ramsey_theory/bohman_2021_dynamic_concentration_triangle_free_process/theorem_1_2 https://erdosproblems.ai/wiki/library/ramsey_theory/bohman_2021_dynamic_concentration_triangle_free_process/theorem_1_3 https://erdosproblems.ai/wiki/library/ramsey_theory/bohman_2021_dynamic_concentration_triangle_free_process/theorem_1_4 https://erdosproblems.ai/wiki/library/ramsey_theory/bondy_1973_ramsey_numbers_cycles_graphs https://erdosproblems.ai/wiki/library/ramsey_theory/bondy_1973_ramsey_numbers_cycles_graphs/comments_p53 https://erdosproblems.ai/wiki/library/ramsey_theory/bondy_1973_ramsey_numbers_cycles_graphs/note_p53 https://erdosproblems.ai/wiki/library/ramsey_theory/bondy_1973_ramsey_numbers_cycles_graphs/theorem_4 https://erdosproblems.ai/wiki/library/ramsey_theory/bondy_1973_ramsey_numbers_cycles_graphs/theorem_5 https://erdosproblems.ai/wiki/library/ramsey_theory/bowen_2022_monochromatic_products_sums_2_colorings_naturals https://erdosproblems.ai/wiki/library/ramsey_theory/bowen_2022_monochromatic_products_sums_2_colorings_naturals/theorem_1_1 https://erdosproblems.ai/wiki/library/ramsey_theory/bowen_2022_monochromatic_products_sums_rationals https://erdosproblems.ai/wiki/library/ramsey_theory/bowen_2022_monochromatic_products_sums_rationals/corollary_1_2 https://erdosproblems.ai/wiki/library/ramsey_theory/bowen_2022_monochromatic_products_sums_rationals/theorem_1_1 https://erdosproblems.ai/wiki/library/ramsey_theory/bowen_2022_monochromatic_products_sums_rationals/theorem_4_3 https://erdosproblems.ai/wiki/library/ramsey_theory/bowen_2022_monochromatic_products_sums_rationals/theorem_5_1 https://erdosproblems.ai/wiki/library/ramsey_theory/boza_2024_exact_values_bounds_ramsey_numbers_c4 https://erdosproblems.ai/wiki/library/ramsey_theory/boza_2024_exact_values_bounds_ramsey_numbers_c4/theorem_10 https://erdosproblems.ai/wiki/library/ramsey_theory/bradac_2022_ramsey_size_linear_graphs_related_questions https://erdosproblems.ai/wiki/library/ramsey_theory/bradac_2022_ramsey_size_linear_graphs_related_questions/theorem_2 https://erdosproblems.ai/wiki/library/ramsey_theory/bradac_2022_ramsey_size_linear_graphs_related_questions/theorem_3 https://erdosproblems.ai/wiki/library/ramsey_theory/bradac_2022_ramsey_size_linear_graphs_related_questions/theorem_4 https://erdosproblems.ai/wiki/library/ramsey_theory/bradac_2025_lower_bounds_ramsey_numbers_bounded_degree https://erdosproblems.ai/wiki/library/ramsey_theory/bradac_2025_lower_bounds_ramsey_numbers_bounded_degree/remark_p1 https://erdosproblems.ai/wiki/library/ramsey_theory/bradac_2025_lower_bounds_ramsey_numbers_bounded_degree/theorem_1_2 https://erdosproblems.ai/wiki/library/ramsey_theory/bradac_2026_off_diagonal_ramsey_numbers https://erdosproblems.ai/wiki/library/ramsey_theory/bradac_2026_off_diagonal_ramsey_numbers/theorem_1_1 https://erdosproblems.ai/wiki/library/ramsey_theory/brandt_1996_expanding_graphs_ramsey_numbers https://erdosproblems.ai/wiki/library/ramsey_theory/brandt_1996_expanding_graphs_ramsey_numbers/bound_p7 https://erdosproblems.ai/wiki/library/ramsey_theory/brandt_1996_expanding_graphs_ramsey_numbers/theorem_1 https://erdosproblems.ai/wiki/library/ramsey_theory/brandt_1996_expanding_graphs_ramsey_numbers/theorem_2 https://erdosproblems.ai/wiki/library/ramsey_theory/brandt_1996_expanding_graphs_ramsey_numbers/theorem_3 https://erdosproblems.ai/wiki/library/ramsey_theory/brown_1999_monochromatic_arithmetic_progressions_large_differences https://erdosproblems.ai/wiki/library/ramsey_theory/brown_1999_monochromatic_arithmetic_progressions_large_differences/theorem_12 https://erdosproblems.ai/wiki/library/ramsey_theory/brown_1999_monochromatic_arithmetic_progressions_large_differences/theorem_7 https://erdosproblems.ai/wiki/library/ramsey_theory/bucic_2026_maximal_anti_ramsey_conjecture_burr_erdos https://erdosproblems.ai/wiki/library/ramsey_theory/bucic_2026_maximal_anti_ramsey_conjecture_burr_erdos/conjecture_1_1 https://erdosproblems.ai/wiki/library/ramsey_theory/bucic_2026_maximal_anti_ramsey_conjecture_burr_erdos/theorem_1_2 https://erdosproblems.ai/wiki/library/ramsey_theory/bukh_2007_induced_subgraphs_ramsey_graphs_many_distinct https://erdosproblems.ai/wiki/library/ramsey_theory/bukh_2007_induced_subgraphs_ramsey_graphs_many_distinct/proposition_2_4 https://erdosproblems.ai/wiki/library/ramsey_theory/bukh_2007_induced_subgraphs_ramsey_graphs_many_distinct/proposition_3_1 https://erdosproblems.ai/wiki/library/ramsey_theory/bukh_2007_induced_subgraphs_ramsey_graphs_many_distinct/theorem_1_1 https://erdosproblems.ai/wiki/library/ramsey_theory/burr_1975_magnitude_generalized_ramsey_numbers_graphs https://erdosproblems.ai/wiki/library/ramsey_theory/burr_1975_magnitude_generalized_ramsey_numbers_graphs/conjecture_p216 https://erdosproblems.ai/wiki/library/ramsey_theory/burr_1975_magnitude_generalized_ramsey_numbers_graphs/problem_p239 https://erdosproblems.ai/wiki/library/ramsey_theory/burr_1975_ramsey_theorems_multiple_copies_graphs https://erdosproblems.ai/wiki/library/ramsey_theory/burr_1975_ramsey_theorems_multiple_copies_graphs/theorem_1 https://erdosproblems.ai/wiki/library/ramsey_theory/burr_1975_ramsey_theorems_multiple_copies_graphs/theorem_2 https://erdosproblems.ai/wiki/library/ramsey_theory/burr_1975_ramsey_theorems_multiple_copies_graphs/theorem_4 https://erdosproblems.ai/wiki/library/ramsey_theory/burr_1975_ramsey_theorems_multiple_copies_graphs/theorem_5 https://erdosproblems.ai/wiki/library/ramsey_theory/burr_1975_ramsey_theorems_multiple_copies_graphs/theorem_6 https://erdosproblems.ai/wiki/library/ramsey_theory/burr_1975_ramsey_theorems_multiple_copies_graphs/theorem_7 https://erdosproblems.ai/wiki/library/ramsey_theory/burr_1976_extremal_ramsey_theory_graphs https://erdosproblems.ai/wiki/library/ramsey_theory/burr_1976_extremal_ramsey_theory_graphs/conjecture_p251 https://erdosproblems.ai/wiki/library/ramsey_theory/burr_1976_extremal_ramsey_theory_graphs/conjecture_p257 https://erdosproblems.ai/wiki/library/ramsey_theory/burr_1976_extremal_ramsey_theory_graphs/lemma_4_1 https://erdosproblems.ai/wiki/library/ramsey_theory/burr_1976_extremal_ramsey_theory_graphs/theorem_4_1 https://erdosproblems.ai/wiki/library/ramsey_theory/burr_1978_ramsey_minimal_graphs_multiple_copies https://erdosproblems.ai/wiki/library/ramsey_theory/burr_1978_ramsey_minimal_graphs_multiple_copies/conjecture_p194 https://erdosproblems.ai/wiki/library/ramsey_theory/burr_1978_ramsey_minimal_graphs_multiple_copies/corollary_8 https://erdosproblems.ai/wiki/library/ramsey_theory/burr_1978_ramsey_minimal_graphs_multiple_copies/corollary_9 https://erdosproblems.ai/wiki/library/ramsey_theory/burr_1978_ramsey_minimal_graphs_multiple_copies/theorem_1 https://erdosproblems.ai/wiki/library/ramsey_theory/burr_1978_ramsey_minimal_graphs_multiple_copies/theorem_5 https://erdosproblems.ai/wiki/library/ramsey_theory/burr_1980_extremal_problem_generalized_ramsey_theory https://erdosproblems.ai/wiki/library/ramsey_theory/burr_1980_extremal_problem_generalized_ramsey_theory/question_p202 https://erdosproblems.ai/wiki/library/ramsey_theory/burr_1980_extremal_problem_generalized_ramsey_theory/table_i https://erdosproblems.ai/wiki/library/ramsey_theory/burr_1980_extremal_problem_generalized_ramsey_theory/theorem_1 https://erdosproblems.ai/wiki/library/ramsey_theory/burr_1980_extremal_problem_generalized_ramsey_theory/theorem_2 https://erdosproblems.ai/wiki/library/ramsey_theory/burr_1980_extremal_problem_generalized_ramsey_theory/theorem_3 https://erdosproblems.ai/wiki/library/ramsey_theory/burr_1985_ramsey_type_property_additive_number_theory https://erdosproblems.ai/wiki/library/ramsey_theory/burr_1985_ramsey_type_property_additive_number_theory/conjecture_p10 https://erdosproblems.ai/wiki/library/ramsey_theory/burr_1985_ramsey_type_property_additive_number_theory/theorem_1 https://erdosproblems.ai/wiki/library/ramsey_theory/burr_1985_ramsey_type_property_additive_number_theory/theorem_2 https://erdosproblems.ai/wiki/library/ramsey_theory/burr_1989_complete_bipartite_graph_tree_ramsey_numbers https://erdosproblems.ai/wiki/library/ramsey_theory/burr_1989_complete_bipartite_graph_tree_ramsey_numbers/lemma_1_3 https://erdosproblems.ai/wiki/library/ramsey_theory/burr_1989_complete_bipartite_graph_tree_ramsey_numbers/section_4 https://erdosproblems.ai/wiki/library/ramsey_theory/burr_1989_complete_bipartite_graph_tree_ramsey_numbers/theorem_1 https://erdosproblems.ai/wiki/library/ramsey_theory/burr_1989_complete_bipartite_graph_tree_ramsey_numbers/theorem_2 https://erdosproblems.ai/wiki/library/ramsey_theory/burr_1989_complete_bipartite_graph_tree_ramsey_numbers/theorem_3 https://erdosproblems.ai/wiki/library/ramsey_theory/burr_1989_difference_between_consecutive_ramsey_numbers https://erdosproblems.ai/wiki/library/ramsey_theory/burr_1989_difference_between_consecutive_ramsey_numbers/corollary https://erdosproblems.ai/wiki/library/ramsey_theory/burr_1989_difference_between_consecutive_ramsey_numbers/remark_p117 https://erdosproblems.ai/wiki/library/ramsey_theory/burr_1989_difference_between_consecutive_ramsey_numbers/theorem_1 https://erdosproblems.ai/wiki/library/ramsey_theory/burr_1989_difference_between_consecutive_ramsey_numbers/theorem_2 https://erdosproblems.ai/wiki/library/ramsey_theory/burr_1989_maximal_anti_ramsey_graphs_strong_chromatic https://erdosproblems.ai/wiki/library/ramsey_theory/burr_1989_maximal_anti_ramsey_graphs_strong_chromatic/conjecture_p270 https://erdosproblems.ai/wiki/library/ramsey_theory/burr_1989_maximal_anti_ramsey_graphs_strong_chromatic/question_p273 https://erdosproblems.ai/wiki/library/ramsey_theory/burr_1989_maximal_anti_ramsey_graphs_strong_chromatic/theorem_4_1 https://erdosproblems.ai/wiki/library/ramsey_theory/burr_1989_maximal_anti_ramsey_graphs_strong_chromatic/theorem_5_1 https://erdosproblems.ai/wiki/library/ramsey_theory/cambie_2026_general_bound_r_c_k_h https://erdosproblems.ai/wiki/library/ramsey_theory/cambie_2026_general_bound_r_c_k_h/theorem_3 https://erdosproblems.ai/wiki/library/ramsey_theory/cambie_2026_ramsey_number_cycle_versus_graph_given https://erdosproblems.ai/wiki/library/ramsey_theory/cambie_2026_ramsey_number_cycle_versus_graph_given/theorem_3 https://erdosproblems.ai/wiki/library/ramsey_theory/campos_2023_exponential_improvement_diagonal_ramsey https://erdosproblems.ai/wiki/library/ramsey_theory/campos_2023_exponential_improvement_diagonal_ramsey/theorem_1_1 https://erdosproblems.ai/wiki/library/ramsey_theory/campos_2025_new_lower_bound_ramsey_numbers https://erdosproblems.ai/wiki/library/ramsey_theory/campos_2025_new_lower_bound_ramsey_numbers/conjecture_1_2 https://erdosproblems.ai/wiki/library/ramsey_theory/campos_2025_new_lower_bound_ramsey_numbers/theorem_1_1 https://erdosproblems.ai/wiki/library/ramsey_theory/caro_2000_asymptotic_bounds_some_bipartite_graph_complete_graph_ramsey_numbers https://erdosproblems.ai/wiki/library/ramsey_theory/caro_2000_asymptotic_bounds_some_bipartite_graph_complete_graph_ramsey_numbers/corollary_3 https://erdosproblems.ai/wiki/library/ramsey_theory/caro_2000_asymptotic_bounds_some_bipartite_graph_complete_graph_ramsey_numbers/corollary_4 https://erdosproblems.ai/wiki/library/ramsey_theory/caro_2000_asymptotic_bounds_some_bipartite_graph_complete_graph_ramsey_numbers/theorem_2 https://erdosproblems.ai/wiki/library/ramsey_theory/caro_2000_asymptotic_bounds_some_bipartite_graph_complete_graph_ramsey_numbers/theorem_5 https://erdosproblems.ai/wiki/library/ramsey_theory/chen_2026_monochromatic_path_covers_conjecture_erdos_gyarfas https://erdosproblems.ai/wiki/library/ramsey_theory/chen_2026_monochromatic_path_covers_conjecture_erdos_gyarfas/theorem_1_5 https://erdosproblems.ai/wiki/library/ramsey_theory/chung_graham_1975_multicolor_ramsey_numbers_complete_bipartite https://erdosproblems.ai/wiki/library/ramsey_theory/chung_graham_1975_multicolor_ramsey_numbers_complete_bipartite/conjecture_11 https://erdosproblems.ai/wiki/library/ramsey_theory/chung_graham_1975_multicolor_ramsey_numbers_complete_bipartite/corollary_1 https://erdosproblems.ai/wiki/library/ramsey_theory/chung_graham_1975_multicolor_ramsey_numbers_complete_bipartite/inequality_10 https://erdosproblems.ai/wiki/library/ramsey_theory/chung_graham_1975_multicolor_ramsey_numbers_complete_bipartite/theorem_1 https://erdosproblems.ai/wiki/library/ramsey_theory/chung_graham_1975_multicolor_ramsey_numbers_complete_bipartite/theorem_3 https://erdosproblems.ai/wiki/library/ramsey_theory/chung_graham_1975_multicolor_ramsey_numbers_complete_bipartite/theorem_4 https://erdosproblems.ai/wiki/library/ramsey_theory/clemen_2023_balanced_edge_colorings_avoiding_rainbow_cliques_size_four https://erdosproblems.ai/wiki/library/ramsey_theory/clemen_2023_balanced_edge_colorings_avoiding_rainbow_cliques_size_four/theorem_1_2 https://erdosproblems.ai/wiki/library/ramsey_theory/cohen_2015_two_source_dispersers_polylogarithmic_entropy https://erdosproblems.ai/wiki/library/ramsey_theory/cohen_2015_two_source_dispersers_polylogarithmic_entropy/theorem_1_10 https://erdosproblems.ai/wiki/library/ramsey_theory/cohen_2015_two_source_dispersers_polylogarithmic_entropy/theorem_1_2 https://erdosproblems.ai/wiki/library/ramsey_theory/cohen_2015_two_source_dispersers_polylogarithmic_entropy/theorem_1_6 https://erdosproblems.ai/wiki/library/ramsey_theory/conlon_2008_hypergraph_ramsey_numbers https://erdosproblems.ai/wiki/library/ramsey_theory/conlon_2008_hypergraph_ramsey_numbers/section_6_2 https://erdosproblems.ai/wiki/library/ramsey_theory/conlon_2008_hypergraph_ramsey_numbers/theorem_1_1 https://erdosproblems.ai/wiki/library/ramsey_theory/conlon_2008_hypergraph_ramsey_numbers/theorem_1_2 https://erdosproblems.ai/wiki/library/ramsey_theory/conlon_2008_hypergraph_ramsey_numbers/theorem_1_3 https://erdosproblems.ai/wiki/library/ramsey_theory/conlon_2008_hypergraph_ramsey_numbers/theorem_2_4 https://erdosproblems.ai/wiki/library/ramsey_theory/conlon_2008_hypergraph_ramsey_numbers/theorem_6_2 https://erdosproblems.ai/wiki/library/ramsey_theory/conlon_2012_two_problems_graph_ramsey_theory https://erdosproblems.ai/wiki/library/ramsey_theory/conlon_2012_two_problems_graph_ramsey_theory/theorem_1_2 https://erdosproblems.ai/wiki/library/ramsey_theory/conlon_2013_two_extensions_ramsey_s_theorem https://erdosproblems.ai/wiki/library/ramsey_theory/conlon_2013_two_extensions_ramsey_s_theorem/conjecture_5_1 https://erdosproblems.ai/wiki/library/ramsey_theory/conlon_2013_two_extensions_ramsey_s_theorem/lemma_3_2 https://erdosproblems.ai/wiki/library/ramsey_theory/conlon_2013_two_extensions_ramsey_s_theorem/theorem_1_1 https://erdosproblems.ai/wiki/library/ramsey_theory/conlon_2013_two_extensions_ramsey_s_theorem/theorem_1_2 https://erdosproblems.ai/wiki/library/ramsey_theory/conlon_2013_two_extensions_ramsey_s_theorem/theorem_5_1 https://erdosproblems.ai/wiki/library/ramsey_theory/conlon_2022_size_ramsey_number_cubic_graphs https://erdosproblems.ai/wiki/library/ramsey_theory/conlon_2022_size_ramsey_number_cubic_graphs/theorem_1_1 https://erdosproblems.ai/wiki/library/ramsey_theory/conlon_2022_size_ramsey_number_cubic_graphs/theorem_1_2 https://erdosproblems.ai/wiki/library/ramsey_theory/conlon_2022_size_ramsey_number_cubic_graphs/theorem_6_1 https://erdosproblems.ai/wiki/library/ramsey_theory/conlon_2022_upper_logarithmic_density_monochromatic_subset_sums https://erdosproblems.ai/wiki/library/ramsey_theory/conlon_2022_upper_logarithmic_density_monochromatic_subset_sums/theorem_1 https://erdosproblems.ai/wiki/library/ramsey_theory/conlon_2023_three_early_problems_size_ramsey_numbers https://erdosproblems.ai/wiki/library/ramsey_theory/conlon_2023_three_early_problems_size_ramsey_numbers/conjecture_5_1 https://erdosproblems.ai/wiki/library/ramsey_theory/conlon_2023_three_early_problems_size_ramsey_numbers/proposition_2_1 https://erdosproblems.ai/wiki/library/ramsey_theory/conlon_2023_three_early_problems_size_ramsey_numbers/proposition_2_2 https://erdosproblems.ai/wiki/library/ramsey_theory/conlon_2023_three_early_problems_size_ramsey_numbers/theorem_1_1 https://erdosproblems.ai/wiki/library/ramsey_theory/davies_2017_multicolour_ramsey_numbers_paths_even_cycles https://erdosproblems.ai/wiki/library/ramsey_theory/davies_2017_multicolour_ramsey_numbers_paths_even_cycles/theorem_1 https://erdosproblems.ai/wiki/library/ramsey_theory/davies_2017_multicolour_ramsey_numbers_paths_even_cycles/theorem_2 https://erdosproblems.ai/wiki/library/ramsey_theory/davies_2017_multicolour_ramsey_numbers_paths_even_cycles/theorem_3 https://erdosproblems.ai/wiki/library/ramsey_theory/davies_2017_multicolour_ramsey_numbers_paths_even_cycles/yongqi_lower_bound_p2 https://erdosproblems.ai/wiki/library/ramsey_theory/davoodi_2025_conjecture_erdos_size_ramsey_number_star https://erdosproblems.ai/wiki/library/ramsey_theory/davoodi_2025_conjecture_erdos_size_ramsey_number_star/theorem_1_4 https://erdosproblems.ai/wiki/library/ramsey_theory/davoodi_2025_conjecture_erdos_size_ramsey_number_star/theorem_2_2 https://erdosproblems.ai/wiki/library/ramsey_theory/davoodi_2025_conjecture_erdos_size_ramsey_number_star/theorem_2_3 https://erdosproblems.ai/wiki/library/ramsey_theory/davoodi_2025_conjecture_erdos_size_ramsey_number_star/theorem_2_4 https://erdosproblems.ai/wiki/library/ramsey_theory/davoodi_2025_conjecture_erdos_size_ramsey_number_star/theorem_2_5 https://erdosproblems.ai/wiki/library/ramsey_theory/davoodi_2025_conjecture_erdos_size_ramsey_number_star/theorem_2_6 https://erdosproblems.ai/wiki/library/ramsey_theory/davoodi_2026_asymptotic_version_erdos_sos_conjecture_beyond https://erdosproblems.ai/wiki/library/ramsey_theory/day_2017_multicolour_ramsey_numbers_odd_cycles https://erdosproblems.ai/wiki/library/ramsey_theory/day_2017_multicolour_ramsey_numbers_odd_cycles/theorem_4 https://erdosproblems.ai/wiki/library/ramsey_theory/draganic_2022_size_ramsey_numbers_graphs_maximum_degree https://erdosproblems.ai/wiki/library/ramsey_theory/draganic_2022_size_ramsey_numbers_graphs_maximum_degree/theorem_1_1 https://erdosproblems.ai/wiki/library/ramsey_theory/dubo_2024_ramsey_number_double_star https://erdosproblems.ai/wiki/library/ramsey_theory/dubo_2024_ramsey_number_double_star/corollary_3 https://erdosproblems.ai/wiki/library/ramsey_theory/dubo_2024_ramsey_number_double_star/theorem_2 https://erdosproblems.ai/wiki/library/ramsey_theory/eliahou_2020_adaptive_upper_bound_ramsey_numbers_r_3_3 https://erdosproblems.ai/wiki/library/ramsey_theory/eliahou_2020_adaptive_upper_bound_ramsey_numbers_r_3_3/corollary_2 https://erdosproblems.ai/wiki/library/ramsey_theory/eliahou_2020_adaptive_upper_bound_ramsey_numbers_r_3_3/theorem_1 https://erdosproblems.ai/wiki/library/ramsey_theory/erdos_1964_representation_directed_graphs_as_unions_orderings https://erdosproblems.ai/wiki/library/ramsey_theory/erdos_1964_representation_directed_graphs_as_unions_orderings/conjecture_p127 https://erdosproblems.ai/wiki/library/ramsey_theory/erdos_1964_representation_directed_graphs_as_unions_orderings/main_theorem https://erdosproblems.ai/wiki/library/ramsey_theory/erdos_1964_representation_directed_graphs_as_unions_orderings/theorem_1 https://erdosproblems.ai/wiki/library/ramsey_theory/erdos_1965_partition_relations_cardinal_numbers https://erdosproblems.ai/wiki/library/ramsey_theory/erdos_1965_partition_relations_cardinal_numbers/conjecture_p140 https://erdosproblems.ai/wiki/library/ramsey_theory/erdos_1965_partition_relations_cardinal_numbers/statement_16_3 https://erdosproblems.ai/wiki/library/ramsey_theory/erdos_1965_partition_relations_cardinal_numbers/statement_16_4 https://erdosproblems.ai/wiki/library/ramsey_theory/erdos_1967_partition_relations_transitivity_domains_binary_relations https://erdosproblems.ai/wiki/library/ramsey_theory/erdos_1967_partition_relations_transitivity_domains_binary_relations/theorem_1 https://erdosproblems.ai/wiki/library/ramsey_theory/erdos_1967_partition_relations_transitivity_domains_binary_relations/theorem_2 https://erdosproblems.ai/wiki/library/ramsey_theory/erdos_1975_anti_ramsey_theorems https://erdosproblems.ai/wiki/library/ramsey_theory/erdos_1975_anti_ramsey_theorems/conjecture_1 https://erdosproblems.ai/wiki/library/ramsey_theory/erdos_1975_anti_ramsey_theorems/conjecture_2 https://erdosproblems.ai/wiki/library/ramsey_theory/erdos_1975_anti_ramsey_theorems/theorem_1 https://erdosproblems.ai/wiki/library/ramsey_theory/erdos_1975_anti_ramsey_theorems/theorem_2 https://erdosproblems.ai/wiki/library/ramsey_theory/erdos_1975_anti_ramsey_theorems/theorem_3 https://erdosproblems.ai/wiki/library/ramsey_theory/erdos_1975_anti_ramsey_theorems/theorem_4 https://erdosproblems.ai/wiki/library/ramsey_theory/erdos_1975_partition_theorems_finite_graphs https://erdosproblems.ai/wiki/library/ramsey_theory/erdos_1975_partition_theorems_finite_graphs/question_v https://erdosproblems.ai/wiki/library/ramsey_theory/erdos_1975_partition_theorems_finite_graphs/remark_p525 https://erdosproblems.ai/wiki/library/ramsey_theory/erdos_1975_partition_theorems_finite_graphs/theorem_5 https://erdosproblems.ai/wiki/library/ramsey_theory/erdos_1975_partition_theorems_finite_graphs/theorem_6 https://erdosproblems.ai/wiki/library/ramsey_theory/erdos_1975_partition_theorems_finite_graphs/theorem_7 https://erdosproblems.ai/wiki/library/ramsey_theory/erdos_1975_partition_theorems_finite_graphs/theorem_8 https://erdosproblems.ai/wiki/library/ramsey_theory/erdos_1975_problems_results_finite_infinite_graphs https://erdosproblems.ai/wiki/library/ramsey_theory/erdos_1975_problems_results_finite_infinite_graphs/conjecture_p183 https://erdosproblems.ai/wiki/library/ramsey_theory/erdos_1975_problems_results_finite_infinite_graphs/conjecture_p183_taylor https://erdosproblems.ai/wiki/library/ramsey_theory/erdos_1975_problems_results_finite_infinite_graphs/conjecture_p184 https://erdosproblems.ai/wiki/library/ramsey_theory/erdos_1975_problems_results_finite_infinite_graphs/conjecture_p188_hamiltonian https://erdosproblems.ai/wiki/library/ramsey_theory/erdos_1975_problems_results_finite_infinite_graphs/conjecture_p188_longest_circuit https://erdosproblems.ai/wiki/library/ramsey_theory/erdos_1975_problems_results_finite_infinite_graphs/conjecture_p188_trees https://erdosproblems.ai/wiki/library/ramsey_theory/erdos_1975_problems_results_finite_infinite_graphs/conjecture_p191 https://erdosproblems.ai/wiki/library/ramsey_theory/erdos_1975_problems_results_finite_infinite_graphs/problem_p184 https://erdosproblems.ai/wiki/library/ramsey_theory/erdos_1975_problems_results_finite_infinite_graphs/problem_p185 https://erdosproblems.ai/wiki/library/ramsey_theory/erdos_1975_problems_results_finite_infinite_graphs/problem_p186 https://erdosproblems.ai/wiki/library/ramsey_theory/erdos_1975_problems_results_finite_infinite_graphs/problem_p188_regular_subgraphs https://erdosproblems.ai/wiki/library/ramsey_theory/erdos_1975_problems_results_finite_infinite_graphs/problem_p189 https://erdosproblems.ai/wiki/library/ramsey_theory/erdos_1975_problems_results_finite_infinite_graphs/theorem_p183 https://erdosproblems.ai/wiki/library/ramsey_theory/erdos_1975_problems_results_finite_infinite_graphs/theorem_p184 https://erdosproblems.ai/wiki/library/ramsey_theory/erdos_1975_problems_results_finite_infinite_graphs/theorem_p186 https://erdosproblems.ai/wiki/library/ramsey_theory/erdos_1975_problems_results_finite_infinite_graphs/theorem_p189 https://erdosproblems.ai/wiki/library/ramsey_theory/erdos_1975_strong_embeddings_graphs_into_colored_graphs https://erdosproblems.ai/wiki/library/ramsey_theory/erdos_1975_strong_embeddings_graphs_into_colored_graphs/existence_p586 https://erdosproblems.ai/wiki/library/ramsey_theory/erdos_1975_strong_embeddings_graphs_into_colored_graphs/theorem_1 https://erdosproblems.ai/wiki/library/ramsey_theory/erdos_1975_strong_embeddings_graphs_into_colored_graphs/theorem_2 https://erdosproblems.ai/wiki/library/ramsey_theory/erdos_1975_strong_embeddings_graphs_into_colored_graphs/theorem_3 https://erdosproblems.ai/wiki/library/ramsey_theory/erdos_1976_problems_results_combinatorial_number_theory_ii https://erdosproblems.ai/wiki/library/ramsey_theory/erdos_1976_problems_results_combinatorial_number_theory_ii/problem_p289 https://erdosproblems.ai/wiki/library/ramsey_theory/erdos_1976_problems_results_combinatorial_number_theory_ii/problem_p290 https://erdosproblems.ai/wiki/library/ramsey_theory/erdos_1978_cycle_complete_graph_ramsey_numbers https://erdosproblems.ai/wiki/library/ramsey_theory/erdos_1978_cycle_complete_graph_ramsey_numbers/conjecture_p64 https://erdosproblems.ai/wiki/library/ramsey_theory/erdos_1978_cycle_complete_graph_ramsey_numbers/theorem_1 https://erdosproblems.ai/wiki/library/ramsey_theory/erdos_1978_cycle_complete_graph_ramsey_numbers/theorem_2 https://erdosproblems.ai/wiki/library/ramsey_theory/erdos_1978_size_ramsey_number https://erdosproblems.ai/wiki/library/ramsey_theory/erdos_1978_size_ramsey_number/section_8 https://erdosproblems.ai/wiki/library/ramsey_theory/erdos_1978_size_ramsey_number/theorem_6 https://erdosproblems.ai/wiki/library/ramsey_theory/erdos_1979_some_old_new_problems_various_branches_combinatorics https://erdosproblems.ai/wiki/library/ramsey_theory/erdos_1979_some_old_new_problems_various_branches_combinatorics/problem_p15 https://erdosproblems.ai/wiki/library/ramsey_theory/erdos_1980_noen_mindre_kjente_problemer_i_kombinatorisk https://erdosproblems.ai/wiki/library/ramsey_theory/erdos_1980_noen_mindre_kjente_problemer_i_kombinatorisk/bound_p156 https://erdosproblems.ai/wiki/library/ramsey_theory/erdos_1980_noen_mindre_kjente_problemer_i_kombinatorisk/conjecture_p156 https://erdosproblems.ai/wiki/library/ramsey_theory/erdos_1980_noen_mindre_kjente_problemer_i_kombinatorisk/conjecture_p157 https://erdosproblems.ai/wiki/library/ramsey_theory/erdos_1980_noen_mindre_kjente_problemer_i_kombinatorisk/problem_p156 https://erdosproblems.ai/wiki/library/ramsey_theory/erdos_1980_noen_mindre_kjente_problemer_i_kombinatorisk/problem_p163 https://erdosproblems.ai/wiki/library/ramsey_theory/erdos_1980_noen_mindre_kjente_problemer_i_kombinatorisk/question_p157 https://erdosproblems.ai/wiki/library/ramsey_theory/erdos_1980_noen_mindre_kjente_problemer_i_kombinatorisk/question_p160 https://erdosproblems.ai/wiki/library/ramsey_theory/erdos_1980_noen_mindre_kjente_problemer_i_kombinatorisk/theorem_p158 https://erdosproblems.ai/wiki/library/ramsey_theory/erdos_1980_noen_mindre_kjente_problemer_i_kombinatorisk/theorem_p160 https://erdosproblems.ai/wiki/library/ramsey_theory/erdos_1981_new_problems_results_graph_theory_other https://erdosproblems.ai/wiki/library/ramsey_theory/erdos_1981_new_problems_results_graph_theory_other/item_11 https://erdosproblems.ai/wiki/library/ramsey_theory/erdos_1982_ramsey_numbers_brooms https://erdosproblems.ai/wiki/library/ramsey_theory/erdos_1982_ramsey_numbers_brooms/lower_bound_p285 https://erdosproblems.ai/wiki/library/ramsey_theory/erdos_1982_ramsey_numbers_brooms/question_p292 https://erdosproblems.ai/wiki/library/ramsey_theory/erdos_1982_ramsey_numbers_brooms/theorem_2_2_p286 https://erdosproblems.ai/wiki/library/ramsey_theory/erdos_1983_more_results_ramsey_turan_type_problems https://erdosproblems.ai/wiki/library/ramsey_theory/erdos_1983_more_results_ramsey_turan_type_problems/problem_p80 https://erdosproblems.ai/wiki/library/ramsey_theory/erdos_1983_more_results_ramsey_turan_type_problems/remark_p72 https://erdosproblems.ai/wiki/library/ramsey_theory/erdos_1983_more_results_ramsey_turan_type_problems/theorem_1 https://erdosproblems.ai/wiki/library/ramsey_theory/erdos_1984_some_problems_graph_theory_combinatorial_analysis https://erdosproblems.ai/wiki/library/ramsey_theory/erdos_1985_multipartite_graph_sparse_graph_ramsey_numbers https://erdosproblems.ai/wiki/library/ramsey_theory/erdos_1985_multipartite_graph_sparse_graph_ramsey_numbers/corollary_p314 https://erdosproblems.ai/wiki/library/ramsey_theory/erdos_1985_multipartite_graph_sparse_graph_ramsey_numbers/corollary_p316 https://erdosproblems.ai/wiki/library/ramsey_theory/erdos_1985_multipartite_graph_sparse_graph_ramsey_numbers/theorem_1 https://erdosproblems.ai/wiki/library/ramsey_theory/erdos_1985_multipartite_graph_sparse_graph_ramsey_numbers/theorem_2 https://erdosproblems.ai/wiki/library/ramsey_theory/erdos_1985_multipartite_graph_sparse_graph_ramsey_numbers/theorem_3 https://erdosproblems.ai/wiki/library/ramsey_theory/erdos_1989_conjecture_roth_related_problems https://erdosproblems.ai/wiki/library/ramsey_theory/erdos_1989_conjecture_roth_related_problems/theorem_1 https://erdosproblems.ai/wiki/library/ramsey_theory/erdos_1989_conjecture_roth_related_problems/theorem_2 https://erdosproblems.ai/wiki/library/ramsey_theory/erdos_1989_conjecture_roth_related_problems/theorem_3 https://erdosproblems.ai/wiki/library/ramsey_theory/erdos_1989_monochromatic_sumsets https://erdosproblems.ai/wiki/library/ramsey_theory/erdos_1989_monochromatic_sumsets/conjecture_p163_sumset_game https://erdosproblems.ai/wiki/library/ramsey_theory/erdos_1989_monochromatic_sumsets/lemma_p162_small_sumsets https://erdosproblems.ai/wiki/library/ramsey_theory/erdos_1989_monochromatic_sumsets/lemma_p162_subset_sums https://erdosproblems.ai/wiki/library/ramsey_theory/erdos_1989_monochromatic_sumsets/theorem https://erdosproblems.ai/wiki/library/ramsey_theory/erdos_1989_multipartite_graph_tree_ramsey_numbers https://erdosproblems.ai/wiki/library/ramsey_theory/erdos_1989_multipartite_graph_tree_ramsey_numbers/corollary_1 https://erdosproblems.ai/wiki/library/ramsey_theory/erdos_1989_multipartite_graph_tree_ramsey_numbers/question_p153 https://erdosproblems.ai/wiki/library/ramsey_theory/erdos_1989_multipartite_graph_tree_ramsey_numbers/theorem_1 https://erdosproblems.ai/wiki/library/ramsey_theory/erdos_1989_multipartite_graph_tree_ramsey_numbers/theorem_2 https://erdosproblems.ai/wiki/library/ramsey_theory/erdos_1989_multipartite_graph_tree_ramsey_numbers/theorem_p147 https://erdosproblems.ai/wiki/library/ramsey_theory/erdos_1990_problems_results_graphs_hypergraphs_similarities_differences https://erdosproblems.ai/wiki/library/ramsey_theory/erdos_1990_problems_results_graphs_hypergraphs_similarities_differences/problem_p21 https://erdosproblems.ai/wiki/library/ramsey_theory/erdos_1993_ramsey_size_linear_graphs https://erdosproblems.ai/wiki/library/ramsey_theory/erdos_1993_ramsey_size_linear_graphs/corollary_1 https://erdosproblems.ai/wiki/library/ramsey_theory/erdos_1993_ramsey_size_linear_graphs/corollary_2 https://erdosproblems.ai/wiki/library/ramsey_theory/erdos_1993_ramsey_size_linear_graphs/corollary_4 https://erdosproblems.ai/wiki/library/ramsey_theory/erdos_1993_ramsey_size_linear_graphs/question_1 https://erdosproblems.ai/wiki/library/ramsey_theory/erdos_1993_ramsey_size_linear_graphs/question_2 https://erdosproblems.ai/wiki/library/ramsey_theory/erdos_1993_ramsey_size_linear_graphs/question_3 https://erdosproblems.ai/wiki/library/ramsey_theory/erdos_1993_ramsey_size_linear_graphs/question_4 https://erdosproblems.ai/wiki/library/ramsey_theory/erdos_1993_ramsey_size_linear_graphs/question_6 https://erdosproblems.ai/wiki/library/ramsey_theory/erdos_1993_ramsey_size_linear_graphs/theorem_4 https://erdosproblems.ai/wiki/library/ramsey_theory/erdos_1993_ramsey_size_linear_graphs/theorem_5 https://erdosproblems.ai/wiki/library/ramsey_theory/erdos_1993_turan_ramsey_theorems_simple_asymptotically_extremal https://erdosproblems.ai/wiki/library/ramsey_theory/erdos_1993_turan_ramsey_theorems_simple_asymptotically_extremal/problem_4 https://erdosproblems.ai/wiki/library/ramsey_theory/erdos_1995_vertex_covering_monochromatic_paths https://erdosproblems.ai/wiki/library/ramsey_theory/erdos_1995_vertex_covering_monochromatic_paths/corollary_1 https://erdosproblems.ai/wiki/library/ramsey_theory/erdos_1995_vertex_covering_monochromatic_paths/corollary_2 https://erdosproblems.ai/wiki/library/ramsey_theory/erdos_1995_vertex_covering_monochromatic_paths/problem_2 https://erdosproblems.ai/wiki/library/ramsey_theory/erdos_1995_vertex_covering_monochromatic_paths/theorem_p8 https://erdosproblems.ai/wiki/library/ramsey_theory/erdos_1996_some_my_favourite_problems_cycles_colourings https://erdosproblems.ai/wiki/library/ramsey_theory/erdos_1997_some_my_favorite_problems_results https://erdosproblems.ai/wiki/library/ramsey_theory/erdos_1997_some_my_favorite_problems_results/conjecture_p54 https://erdosproblems.ai/wiki/library/ramsey_theory/erdos_1997_some_my_favorite_problems_results/conjecture_p65 https://erdosproblems.ai/wiki/library/ramsey_theory/erdos_1997_some_my_favorite_problems_results/display_2_20 https://erdosproblems.ai/wiki/library/ramsey_theory/erdos_1997_some_my_favorite_problems_results/display_2_21 https://erdosproblems.ai/wiki/library/ramsey_theory/erdos_1997_some_my_favorite_problems_results/display_4_2 https://erdosproblems.ai/wiki/library/ramsey_theory/erdos_1997_some_my_favorite_problems_results/display_4_3 https://erdosproblems.ai/wiki/library/ramsey_theory/erdos_1997_some_my_favorite_problems_results/display_4_4 https://erdosproblems.ai/wiki/library/ramsey_theory/erdos_1997_some_my_favorite_problems_results/display_4_5 https://erdosproblems.ai/wiki/library/ramsey_theory/erdos_1997_some_my_favorite_problems_results/problem_p51 https://erdosproblems.ai/wiki/library/ramsey_theory/erdos_1997_some_my_favorite_problems_results/problem_p62 https://erdosproblems.ai/wiki/library/ramsey_theory/erdos_1997_some_my_favorite_problems_results/remark_p58 https://erdosproblems.ai/wiki/library/ramsey_theory/erdos_1997_some_recent_problems_results_graph_theory https://erdosproblems.ai/wiki/library/ramsey_theory/erdos_1997_some_recent_problems_results_graph_theory/problem_10 https://erdosproblems.ai/wiki/library/ramsey_theory/erdos_1997_some_recent_problems_results_graph_theory/problem_14 https://erdosproblems.ai/wiki/library/ramsey_theory/erdos_1997_some_recent_problems_results_graph_theory/problem_9 https://erdosproblems.ai/wiki/library/ramsey_theory/erdos_galvin_1991_some_ramsey_type_theorems https://erdosproblems.ai/wiki/library/ramsey_theory/erdos_galvin_1991_some_ramsey_type_theorems/corollary_2_2 https://erdosproblems.ai/wiki/library/ramsey_theory/erdos_galvin_1991_some_ramsey_type_theorems/problem_4_2 https://erdosproblems.ai/wiki/library/ramsey_theory/erdos_galvin_1991_some_ramsey_type_theorems/theorem_2_1 https://erdosproblems.ai/wiki/library/ramsey_theory/erdos_galvin_1991_some_ramsey_type_theorems/theorem_2_3 https://erdosproblems.ai/wiki/library/ramsey_theory/erdos_galvin_1991_some_ramsey_type_theorems/theorem_3_1 https://erdosproblems.ai/wiki/library/ramsey_theory/erdos_galvin_1991_some_ramsey_type_theorems/theorem_3_3 https://erdosproblems.ai/wiki/library/ramsey_theory/erdos_galvin_1991_some_ramsey_type_theorems/theorem_4_1 https://erdosproblems.ai/wiki/library/ramsey_theory/erdos_galvin_1991_some_ramsey_type_theorems/theorem_4_3 https://erdosproblems.ai/wiki/library/ramsey_theory/erdos_rousseau_1993_size_ramsey_number_complete_bipartite https://erdosproblems.ai/wiki/library/ramsey_theory/erdos_rousseau_1993_size_ramsey_number_complete_bipartite/inequality_1 https://erdosproblems.ai/wiki/library/ramsey_theory/erdos_rousseau_1993_size_ramsey_number_complete_bipartite/lemma_1 https://erdosproblems.ai/wiki/library/ramsey_theory/erdos_rousseau_1993_size_ramsey_number_complete_bipartite/theorem_1 https://erdosproblems.ai/wiki/library/ramsey_theory/erdos_tuza_1993_rainbow_subgraphs_edge_colorings_complete_graphs https://erdosproblems.ai/wiki/library/ramsey_theory/erdos_tuza_1993_rainbow_subgraphs_edge_colorings_complete_graphs/problem_1 https://erdosproblems.ai/wiki/library/ramsey_theory/erdos_tuza_1993_rainbow_subgraphs_edge_colorings_complete_graphs/problem_5 https://erdosproblems.ai/wiki/library/ramsey_theory/erdos_tuza_1993_rainbow_subgraphs_edge_colorings_complete_graphs/proposition_1 https://erdosproblems.ai/wiki/library/ramsey_theory/erdos_tuza_1993_rainbow_subgraphs_edge_colorings_complete_graphs/theorem_1 https://erdosproblems.ai/wiki/library/ramsey_theory/erdos_tuza_1993_rainbow_subgraphs_edge_colorings_complete_graphs/theorem_2 https://erdosproblems.ai/wiki/library/ramsey_theory/erdos_tuza_1993_rainbow_subgraphs_edge_colorings_complete_graphs/theorem_3 https://erdosproblems.ai/wiki/library/ramsey_theory/erdos_tuza_1993_rainbow_subgraphs_edge_colorings_complete_graphs/theorem_4 https://erdosproblems.ai/wiki/library/ramsey_theory/erdos_tuza_1993_rainbow_subgraphs_edge_colorings_complete_graphs/theorem_5 https://erdosproblems.ai/wiki/library/ramsey_theory/exoo_1994_lower_bound_schur_numbers_multicolor_ramsey https://erdosproblems.ai/wiki/library/ramsey_theory/exoo_1994_lower_bound_schur_numbers_multicolor_ramsey/lower_bound_p2 https://erdosproblems.ai/wiki/library/ramsey_theory/faudree_1993_conjecture_erdos_ramsey_number_r_w6 https://erdosproblems.ai/wiki/library/ramsey_theory/faudree_1993_conjecture_erdos_ramsey_number_r_w6/theorem_1 https://erdosproblems.ai/wiki/library/ramsey_theory/faudree_1993_conjecture_erdos_ramsey_number_r_w6/theorem_2 https://erdosproblems.ai/wiki/library/ramsey_theory/faudree_1993_conjecture_erdos_ramsey_number_r_w6/theorem_3 https://erdosproblems.ai/wiki/library/ramsey_theory/fettes_kramer_radziszowski_2004_upper_bound_62 https://erdosproblems.ai/wiki/library/ramsey_theory/fettes_kramer_radziszowski_2004_upper_bound_62/evidence https://erdosproblems.ai/wiki/library/ramsey_theory/fettes_kramer_radziszowski_2004_upper_bound_62/evidence/verify https://erdosproblems.ai/wiki/library/ramsey_theory/fettes_kramer_radziszowski_2004_upper_bound_62/evidence/verify/theorem_3_2_grade https://erdosproblems.ai/wiki/library/ramsey_theory/fettes_kramer_radziszowski_2004_upper_bound_62/evidence/verify/theorem_3_2_review https://erdosproblems.ai/wiki/library/ramsey_theory/fettes_kramer_radziszowski_2004_upper_bound_62/section_5_pipeline https://erdosproblems.ai/wiki/library/ramsey_theory/fettes_kramer_radziszowski_2004_upper_bound_62/theorem_3_2 https://erdosproblems.ai/wiki/library/ramsey_theory/fettes_kramer_radziszowski_2004_upper_bound_62/theorem_5_6 https://erdosproblems.ai/wiki/library/ramsey_theory/fizpontiveros_2020_triangle_free_process_ramsey_number https://erdosproblems.ai/wiki/library/ramsey_theory/fizpontiveros_2020_triangle_free_process_ramsey_number/conjecture_1_3 https://erdosproblems.ai/wiki/library/ramsey_theory/fizpontiveros_2020_triangle_free_process_ramsey_number/theorem_1_2 https://erdosproblems.ai/wiki/library/ramsey_theory/fizpontiveros_2020_triangle_free_process_ramsey_number/theorem_2_12 https://erdosproblems.ai/wiki/library/ramsey_theory/fox_2008_induced_ramsey_type_theorems https://erdosproblems.ai/wiki/library/ramsey_theory/fox_2008_induced_ramsey_type_theorems/conjecture_7_1 https://erdosproblems.ai/wiki/library/ramsey_theory/fox_2008_induced_ramsey_type_theorems/corollary_1_5 https://erdosproblems.ai/wiki/library/ramsey_theory/fox_2008_induced_ramsey_type_theorems/corollary_1_6 https://erdosproblems.ai/wiki/library/ramsey_theory/fox_2008_induced_ramsey_type_theorems/theorem_1_1 https://erdosproblems.ai/wiki/library/ramsey_theory/fox_2008_induced_ramsey_type_theorems/theorem_1_2 https://erdosproblems.ai/wiki/library/ramsey_theory/fox_2008_induced_ramsey_type_theorems/theorem_1_3 https://erdosproblems.ai/wiki/library/ramsey_theory/fox_2008_induced_ramsey_type_theorems/theorem_1_4 https://erdosproblems.ai/wiki/library/ramsey_theory/fox_2008_induced_ramsey_type_theorems/theorem_1_7 https://erdosproblems.ai/wiki/library/ramsey_theory/fox_2008_induced_ramsey_type_theorems/theorem_5_4 https://erdosproblems.ai/wiki/library/ramsey_theory/fox_2012_problem_erdos_rothschild_edges_triangles https://erdosproblems.ai/wiki/library/ramsey_theory/fox_2012_problem_erdos_rothschild_edges_triangles/theorem_1_1 https://erdosproblems.ai/wiki/library/ramsey_theory/fredricksen_2000_symmetric_sum_free_partitions_lower_bounds https://erdosproblems.ai/wiki/library/ramsey_theory/fredricksen_2000_symmetric_sum_free_partitions_lower_bounds/constructions_p6 https://erdosproblems.ai/wiki/library/ramsey_theory/fu_2026_size_ramsey_minimal_graphs_uniform_star_forests https://erdosproblems.ai/wiki/library/ramsey_theory/fu_2026_size_ramsey_minimal_graphs_uniform_star_forests/theorem_1_5 https://erdosproblems.ai/wiki/library/ramsey_theory/gerencser_1967_ramsey_type_problems https://erdosproblems.ai/wiki/library/ramsey_theory/gerencser_1967_ramsey_type_problems/footnote_p169 https://erdosproblems.ai/wiki/library/ramsey_theory/gerencser_1967_ramsey_type_problems/theorem_1 https://erdosproblems.ai/wiki/library/ramsey_theory/gerencser_1967_ramsey_type_problems/theorem_2 https://erdosproblems.ai/wiki/library/ramsey_theory/girao_2024_monochromatic_odd_cycles_edge_coloured_complete https://erdosproblems.ai/wiki/library/ramsey_theory/girao_2024_monochromatic_odd_cycles_edge_coloured_complete/lemma_2_1 https://erdosproblems.ai/wiki/library/ramsey_theory/girao_2024_monochromatic_odd_cycles_edge_coloured_complete/lemma_2_2 https://erdosproblems.ai/wiki/library/ramsey_theory/girao_2024_monochromatic_odd_cycles_edge_coloured_complete/lemma_2_3 https://erdosproblems.ai/wiki/library/ramsey_theory/girao_2024_monochromatic_odd_cycles_edge_coloured_complete/proposition_4_1 https://erdosproblems.ai/wiki/library/ramsey_theory/girao_2024_monochromatic_odd_cycles_edge_coloured_complete/theorem_1_2 https://erdosproblems.ai/wiki/library/ramsey_theory/goddard_1994_upper_bound_ramsey_numbers_triangle_graph https://erdosproblems.ai/wiki/library/ramsey_theory/goddard_1994_upper_bound_ramsey_numbers_triangle_graph/main_theorem https://erdosproblems.ai/wiki/library/ramsey_theory/graham_et_al_1972_ramseys_theorem_class_categories https://erdosproblems.ai/wiki/library/ramsey_theory/graham_et_al_1972_ramseys_theorem_class_categories/corollary_1 https://erdosproblems.ai/wiki/library/ramsey_theory/graham_et_al_1972_ramseys_theorem_class_categories/corollary_2 https://erdosproblems.ai/wiki/library/ramsey_theory/graham_et_al_1972_ramseys_theorem_class_categories/corollary_3 https://erdosproblems.ai/wiki/library/ramsey_theory/graham_et_al_1972_ramseys_theorem_class_categories/corollary_4 https://erdosproblems.ai/wiki/library/ramsey_theory/graham_et_al_1972_ramseys_theorem_class_categories/proposition_1 https://erdosproblems.ai/wiki/library/ramsey_theory/graham_et_al_1972_ramseys_theorem_class_categories/theorem_1 https://erdosproblems.ai/wiki/library/ramsey_theory/graham_rothschild_1971_ramseys_theorem_n_parameter_sets https://erdosproblems.ai/wiki/library/ramsey_theory/graham_rothschild_1971_ramseys_theorem_n_parameter_sets/corollary_3 https://erdosproblems.ai/wiki/library/ramsey_theory/graham_rothschild_1971_ramseys_theorem_n_parameter_sets/corollary_4 https://erdosproblems.ai/wiki/library/ramsey_theory/graham_rothschild_1971_ramseys_theorem_n_parameter_sets/corollary_8 https://erdosproblems.ai/wiki/library/ramsey_theory/graham_rothschild_1971_ramseys_theorem_n_parameter_sets/main_theorem https://erdosproblems.ai/wiki/library/ramsey_theory/graham_rothschild_1971_ramseys_theorem_n_parameter_sets/question_9_ii https://erdosproblems.ai/wiki/library/ramsey_theory/green_2019_monochromatic_solutions_x_plus_y_z_squared https://erdosproblems.ai/wiki/library/ramsey_theory/green_2019_monochromatic_solutions_x_plus_y_z_squared/theorem_1_1 https://erdosproblems.ai/wiki/library/ramsey_theory/green_2022_new_lower_bounds_van_der_waerden https://erdosproblems.ai/wiki/library/ramsey_theory/green_2022_new_lower_bounds_van_der_waerden/theorem_1_1 https://erdosproblems.ai/wiki/library/ramsey_theory/grossman_1979_generalized_ramsey_theory_graphs_x_double_stars https://erdosproblems.ai/wiki/library/ramsey_theory/grossman_1979_generalized_ramsey_theory_graphs_x_double_stars/conjecture_p254 https://erdosproblems.ai/wiki/library/ramsey_theory/grossman_1979_generalized_ramsey_theory_graphs_x_double_stars/theorem_2_1 https://erdosproblems.ai/wiki/library/ramsey_theory/grossman_1979_generalized_ramsey_theory_graphs_x_double_stars/theorem_3_3 https://erdosproblems.ai/wiki/library/ramsey_theory/gruslys_2020_monochromatic_triangle_packings_red_blue_graphs https://erdosproblems.ai/wiki/library/ramsey_theory/gruslys_2020_monochromatic_triangle_packings_red_blue_graphs/theorem_1_2 https://erdosproblems.ai/wiki/library/ramsey_theory/gruslys_2020_monochromatic_triangle_packings_red_blue_graphs/theorem_1_3 https://erdosproblems.ai/wiki/library/ramsey_theory/gruslys_2020_monochromatic_triangle_packings_red_blue_graphs/theorem_2_11 https://erdosproblems.ai/wiki/library/ramsey_theory/gruslys_2020_monochromatic_triangle_packings_red_blue_graphs/theorem_2_3 https://erdosproblems.ai/wiki/library/ramsey_theory/gruslys_2020_monochromatic_triangle_packings_red_blue_graphs/theorem_2_6 https://erdosproblems.ai/wiki/library/ramsey_theory/gupta_2024_optimizing_cgms_upper_bound_ramsey_numbers https://erdosproblems.ai/wiki/library/ramsey_theory/gupta_2024_optimizing_cgms_upper_bound_ramsey_numbers/corollary_21 https://erdosproblems.ai/wiki/library/ramsey_theory/gupta_2024_optimizing_cgms_upper_bound_ramsey_numbers/corollary_6 https://erdosproblems.ai/wiki/library/ramsey_theory/gupta_2024_optimizing_cgms_upper_bound_ramsey_numbers/diagonal_bound_p3 https://erdosproblems.ai/wiki/library/ramsey_theory/gupta_2024_optimizing_cgms_upper_bound_ramsey_numbers/theorem_1 https://erdosproblems.ai/wiki/library/ramsey_theory/gyori_schelp_2002_two_edge_colorings_graphs_bounded_degree_both_colors https://erdosproblems.ai/wiki/library/ramsey_theory/gyori_schelp_2002_two_edge_colorings_graphs_bounded_degree_both_colors/theorem_1 https://erdosproblems.ai/wiki/library/ramsey_theory/gyori_schelp_2002_two_edge_colorings_graphs_bounded_degree_both_colors/theorem_2 https://erdosproblems.ai/wiki/library/ramsey_theory/hassan_2026_small_folkman_graphs_arrowing_k2_k3 https://erdosproblems.ai/wiki/library/ramsey_theory/hassan_2026_small_folkman_graphs_arrowing_k2_k3/observation_11 https://erdosproblems.ai/wiki/library/ramsey_theory/hassan_2026_small_folkman_graphs_arrowing_k2_k3/reported_interval https://erdosproblems.ai/wiki/library/ramsey_theory/hassan_2026_small_folkman_graphs_arrowing_k2_k3/table_1 https://erdosproblems.ai/wiki/library/ramsey_theory/hassan_2026_small_folkman_graphs_arrowing_k2_k3/table_2 https://erdosproblems.ai/wiki/library/ramsey_theory/hassan_2026_small_folkman_graphs_arrowing_k2_k3/theorem_3 https://erdosproblems.ai/wiki/library/ramsey_theory/haxell_1995_induced_size_ramsey_number_cycles https://erdosproblems.ai/wiki/library/ramsey_theory/haxell_1995_induced_size_ramsey_number_cycles/corollary_11 https://erdosproblems.ai/wiki/library/ramsey_theory/haxell_1995_induced_size_ramsey_number_cycles/theorem_10 https://erdosproblems.ai/wiki/library/ramsey_theory/heath_2026_generalized_ramsey_numbers_hypercube https://erdosproblems.ai/wiki/library/ramsey_theory/hefty_2025_improving_just_two_bites https://erdosproblems.ai/wiki/library/ramsey_theory/hefty_2025_improving_just_two_bites/theorem_1_2 https://erdosproblems.ai/wiki/library/ramsey_theory/hefty_2025_improving_just_two_bites/theorem_1_3 https://erdosproblems.ai/wiki/library/ramsey_theory/heinrich_1977_proper_colourings_k_15 https://erdosproblems.ai/wiki/library/ramsey_theory/heinrich_1977_proper_colourings_k_15/theorem_1 https://erdosproblems.ai/wiki/library/ramsey_theory/heinrich_1977_proper_colourings_k_15/theorem_2 https://erdosproblems.ai/wiki/library/ramsey_theory/heule_2017_schur_number_five https://erdosproblems.ai/wiki/library/ramsey_theory/heule_2017_schur_number_five/extreme_certificates_p7 https://erdosproblems.ai/wiki/library/ramsey_theory/heule_2017_schur_number_five/main_result https://erdosproblems.ai/wiki/library/ramsey_theory/hindman_1974_finite_sums_sequences_within_cells_partition_n https://erdosproblems.ai/wiki/library/ramsey_theory/hindman_1974_finite_sums_sequences_within_cells_partition_n/corollary_3_2 https://erdosproblems.ai/wiki/library/ramsey_theory/hindman_1974_finite_sums_sequences_within_cells_partition_n/corollary_3_3 https://erdosproblems.ai/wiki/library/ramsey_theory/hindman_1974_finite_sums_sequences_within_cells_partition_n/lemma_2_2 https://erdosproblems.ai/wiki/library/ramsey_theory/hindman_1974_finite_sums_sequences_within_cells_partition_n/theorem_3_1 https://erdosproblems.ai/wiki/library/ramsey_theory/hindman_1979_partitions_sums_integers_repetition https://erdosproblems.ai/wiki/library/ramsey_theory/hindman_1979_partitions_sums_integers_repetition/corollary_2_10 https://erdosproblems.ai/wiki/library/ramsey_theory/hindman_1979_partitions_sums_integers_repetition/theorem_2_1 https://erdosproblems.ai/wiki/library/ramsey_theory/hindman_1979_partitions_sums_integers_repetition/theorem_2_11 https://erdosproblems.ai/wiki/library/ramsey_theory/hindman_1979_partitions_sums_integers_repetition/theorem_2_4 https://erdosproblems.ai/wiki/library/ramsey_theory/hindman_1979_partitions_sums_integers_repetition/theorem_4_3 https://erdosproblems.ai/wiki/library/ramsey_theory/hindman_1980_partitions_sums_products_two_counterexamples https://erdosproblems.ai/wiki/library/ramsey_theory/hindman_1980_partitions_sums_products_two_counterexamples/question_3_3 https://erdosproblems.ai/wiki/library/ramsey_theory/hindman_1980_partitions_sums_products_two_counterexamples/theorem_2_14 https://erdosproblems.ai/wiki/library/ramsey_theory/hindman_1980_partitions_sums_products_two_counterexamples/theorem_2_15 https://erdosproblems.ai/wiki/library/ramsey_theory/hindman_2017_pairwise_sums_colourings_reals https://erdosproblems.ai/wiki/library/ramsey_theory/hindman_2017_pairwise_sums_colourings_reals/corollary_4_5 https://erdosproblems.ai/wiki/library/ramsey_theory/hindman_2017_pairwise_sums_colourings_reals/theorem_2_8 https://erdosproblems.ai/wiki/library/ramsey_theory/hindman_2017_pairwise_sums_colourings_reals/theorem_3_2 https://erdosproblems.ai/wiki/library/ramsey_theory/hindman_2017_pairwise_sums_colourings_reals/theorem_4_4 https://erdosproblems.ai/wiki/library/ramsey_theory/hindman_strauss_2009_simple_characterization_sets_satisfying_central_sets_theorem https://erdosproblems.ai/wiki/library/ramsey_theory/hindman_strauss_2009_simple_characterization_sets_satisfying_central_sets_theorem/definition_2_2 https://erdosproblems.ai/wiki/library/ramsey_theory/hindman_strauss_2009_simple_characterization_sets_satisfying_central_sets_theorem/lemma_2_6 https://erdosproblems.ai/wiki/library/ramsey_theory/hindman_strauss_2009_simple_characterization_sets_satisfying_central_sets_theorem/theorem_2_4 https://erdosproblems.ai/wiki/library/ramsey_theory/hindman_strauss_2009_simple_characterization_sets_satisfying_central_sets_theorem/theorem_2_7 https://erdosproblems.ai/wiki/library/ramsey_theory/hindman_strauss_2009_simple_characterization_sets_satisfying_central_sets_theorem/theorem_2_8 https://erdosproblems.ai/wiki/library/ramsey_theory/hindman_strauss_2009_simple_characterization_sets_satisfying_central_sets_theorem/theorem_2_9 https://erdosproblems.ai/wiki/library/ramsey_theory/hng_2026_ramsey_size_linear_generalization https://erdosproblems.ai/wiki/library/ramsey_theory/hng_2026_ramsey_size_linear_generalization/theorem_2 https://erdosproblems.ai/wiki/library/ramsey_theory/hng_2026_ramsey_size_linear_generalization/theorem_3 https://erdosproblems.ai/wiki/library/ramsey_theory/hng_2026_ramsey_size_linear_generalization/theorem_4 https://erdosproblems.ai/wiki/library/ramsey_theory/huang_2026_affirmative_answer_owings_sumset_question https://erdosproblems.ai/wiki/library/ramsey_theory/huang_2026_affirmative_answer_owings_sumset_question/theorem_1_1 https://erdosproblems.ai/wiki/library/ramsey_theory/huang_2026_new_upper_bound_ramsey_number_odd_cycles https://erdosproblems.ai/wiki/library/ramsey_theory/huang_2026_new_upper_bound_ramsey_number_odd_cycles/theorem_5 https://erdosproblems.ai/wiki/library/ramsey_theory/hunter_2022_improved_lower_bounds_van_der_waerden https://erdosproblems.ai/wiki/library/ramsey_theory/hunter_2022_improved_lower_bounds_van_der_waerden/theorem_1 https://erdosproblems.ai/wiki/library/ramsey_theory/ihringer_2017_new_bounds_ramsey_number_r_i https://erdosproblems.ai/wiki/library/ramsey_theory/ihringer_2017_new_bounds_ramsey_number_r_i/proposition_3_4 https://erdosproblems.ai/wiki/library/ramsey_theory/ihringer_2017_new_bounds_ramsey_number_r_i/theorem_1_1 https://erdosproblems.ai/wiki/library/ramsey_theory/ihringer_2017_new_bounds_ramsey_number_r_i/theorem_1_2 https://erdosproblems.ai/wiki/library/ramsey_theory/ihringer_2017_new_bounds_ramsey_number_r_i/theorem_5_6 https://erdosproblems.ai/wiki/library/ramsey_theory/janzer_2025_short_monochromatic_odd_cycles https://erdosproblems.ai/wiki/library/ramsey_theory/janzer_2025_short_monochromatic_odd_cycles/lemma_2_8 https://erdosproblems.ai/wiki/library/ramsey_theory/janzer_2025_short_monochromatic_odd_cycles/theorem_1_4 https://erdosproblems.ai/wiki/library/ramsey_theory/janzer_2025_short_monochromatic_odd_cycles/theorem_1_5 https://erdosproblems.ai/wiki/library/ramsey_theory/janzer_2025_short_monochromatic_odd_cycles/theorem_2_9 https://erdosproblems.ai/wiki/library/ramsey_theory/javadi_2019_size_ramsey_number_cycles https://erdosproblems.ai/wiki/library/ramsey_theory/javadi_2019_size_ramsey_number_cycles/theorem_1_1 https://erdosproblems.ai/wiki/library/ramsey_theory/jenssen_2020_distinct_degrees_induced_subgraphs https://erdosproblems.ai/wiki/library/ramsey_theory/jenssen_2020_distinct_degrees_induced_subgraphs/lemma_4 https://erdosproblems.ai/wiki/library/ramsey_theory/jenssen_2020_distinct_degrees_induced_subgraphs/theorem_1 https://erdosproblems.ai/wiki/library/ramsey_theory/jenssen_2020_distinct_degrees_induced_subgraphs/theorem_2 https://erdosproblems.ai/wiki/library/ramsey_theory/jenssen_2020_distinct_degrees_induced_subgraphs/theorem_3 https://erdosproblems.ai/wiki/library/ramsey_theory/jenssen_2021_exact_ramsey_numbers_odd_cycles_via https://erdosproblems.ai/wiki/library/ramsey_theory/jenssen_2021_exact_ramsey_numbers_odd_cycles_via/theorem_1_2 https://erdosproblems.ai/wiki/library/ramsey_theory/kalbfleisch_stanton_1968_maximal_triangle_free_edge_chromatic_graphs_three_colors https://erdosproblems.ai/wiki/library/ramsey_theory/kalbfleisch_stanton_1968_maximal_triangle_free_edge_chromatic_graphs_three_colors/theorem_p19 https://erdosproblems.ai/wiki/library/ramsey_theory/karagiannis_2013_combinatorial_proof_infinite_version_hales_jewett_theorem https://erdosproblems.ai/wiki/library/ramsey_theory/karagiannis_2013_combinatorial_proof_infinite_version_hales_jewett_theorem/theorem_2 https://erdosproblems.ai/wiki/library/ramsey_theory/karagiannis_2013_combinatorial_proof_infinite_version_hales_jewett_theorem/theorem_3 https://erdosproblems.ai/wiki/library/ramsey_theory/keevash_2004_number_edges_not_covered_monochromatic_copies https://erdosproblems.ai/wiki/library/ramsey_theory/keevash_2004_number_edges_not_covered_monochromatic_copies/corollary_1_4 https://erdosproblems.ai/wiki/library/ramsey_theory/keevash_2004_number_edges_not_covered_monochromatic_copies/proposition_2_1 https://erdosproblems.ai/wiki/library/ramsey_theory/keevash_2004_number_edges_not_covered_monochromatic_copies/theorem_1_1 https://erdosproblems.ai/wiki/library/ramsey_theory/keevash_2004_number_edges_not_covered_monochromatic_copies/theorem_1_2 https://erdosproblems.ai/wiki/library/ramsey_theory/keevash_2004_number_edges_not_covered_monochromatic_copies/theorem_1_3 https://erdosproblems.ai/wiki/library/ramsey_theory/keevash_2004_number_edges_not_covered_monochromatic_copies/theorem_1_5 https://erdosproblems.ai/wiki/library/ramsey_theory/keevash_2021_cycle_complete_ramsey_numbers https://erdosproblems.ai/wiki/library/ramsey_theory/keevash_2021_cycle_complete_ramsey_numbers/theorem_1_1 https://erdosproblems.ai/wiki/library/ramsey_theory/kim_1995_ramsey_number_has_order_magnitude https://erdosproblems.ai/wiki/library/ramsey_theory/kim_1995_ramsey_number_has_order_magnitude/theorem_1_1 https://erdosproblems.ai/wiki/library/ramsey_theory/kohayakawa_1998_induced_ramsey_numbers https://erdosproblems.ai/wiki/library/ramsey_theory/kohayakawa_1998_induced_ramsey_numbers/theorem_3 https://erdosproblems.ai/wiki/library/ramsey_theory/kohayakawa_1998_induced_ramsey_numbers/theorem_4 https://erdosproblems.ai/wiki/library/ramsey_theory/kohayakawa_1998_induced_ramsey_numbers/theorem_5 https://erdosproblems.ai/wiki/library/ramsey_theory/kohayakawa_2005_3_colored_ramsey_number_odd_cycles https://erdosproblems.ai/wiki/library/ramsey_theory/kohayakawa_2005_3_colored_ramsey_number_odd_cycles/claim_2 https://erdosproblems.ai/wiki/library/ramsey_theory/kohayakawa_2005_3_colored_ramsey_number_odd_cycles/theorem_1 https://erdosproblems.ai/wiki/library/ramsey_theory/kohayakawa_2005_3_colored_ramsey_number_odd_cycles/theorem_3 https://erdosproblems.ai/wiki/library/ramsey_theory/kwan_2017_proof_conjecture_induced_subgraphs_ramsey_graphs https://erdosproblems.ai/wiki/library/ramsey_theory/kwan_2017_proof_conjecture_induced_subgraphs_ramsey_graphs/theorem_1_1 https://erdosproblems.ai/wiki/library/ramsey_theory/kwan_2022_anticoncentration_ramsey_graphs_proof_erdos_mckay https://erdosproblems.ai/wiki/library/ramsey_theory/kwan_2022_anticoncentration_ramsey_graphs_proof_erdos_mckay/remark_1_4 https://erdosproblems.ai/wiki/library/ramsey_theory/kwan_2022_anticoncentration_ramsey_graphs_proof_erdos_mckay/theorem_1_1 https://erdosproblems.ai/wiki/library/ramsey_theory/kwan_2022_anticoncentration_ramsey_graphs_proof_erdos_mckay/theorem_1_2 https://erdosproblems.ai/wiki/library/ramsey_theory/kwan_2022_anticoncentration_ramsey_graphs_proof_erdos_mckay/theorem_1_5 https://erdosproblems.ai/wiki/library/ramsey_theory/kwan_2022_anticoncentration_ramsey_graphs_proof_erdos_mckay/theorem_1_6 https://erdosproblems.ai/wiki/library/ramsey_theory/lange_2014_use_max_cut_ramsey_arrowing_triangles https://erdosproblems.ai/wiki/library/ramsey_theory/lange_2014_use_max_cut_ramsey_arrowing_triangles/theorem_2 https://erdosproblems.ai/wiki/library/ramsey_theory/lange_2014_use_max_cut_ramsey_arrowing_triangles/theorem_3 https://erdosproblems.ai/wiki/library/ramsey_theory/larson_mitchell_1997_problem_erdos_rado https://erdosproblems.ai/wiki/library/ramsey_theory/larson_mitchell_1997_problem_erdos_rado/lemma_4_13 https://erdosproblems.ai/wiki/library/ramsey_theory/larson_mitchell_1997_problem_erdos_rado/lemma_4_2 https://erdosproblems.ai/wiki/library/ramsey_theory/larson_mitchell_1997_problem_erdos_rado/lemma_4_4 https://erdosproblems.ai/wiki/library/ramsey_theory/larson_mitchell_1997_problem_erdos_rado/proposition_3_1 https://erdosproblems.ai/wiki/library/ramsey_theory/laywine_mayberry_1988_simple_construction_two_non_isomorphic_triangle_free_3_colored_k_16 https://erdosproblems.ai/wiki/library/ramsey_theory/laywine_mayberry_1988_simple_construction_two_non_isomorphic_triangle_free_3_colored_k_16/theorem_p123 https://erdosproblems.ai/wiki/library/ramsey_theory/leader_2024_monochromatic_sumsets_countable_colourings_abelian_groups https://erdosproblems.ai/wiki/library/ramsey_theory/lee_2017_ramsey_numbers_degenerate_graphs https://erdosproblems.ai/wiki/library/ramsey_theory/lee_2017_ramsey_numbers_degenerate_graphs/theorem_1_1 https://erdosproblems.ai/wiki/library/ramsey_theory/li_2023_two_source_extractors_asymptotically_optimal_entropy https://erdosproblems.ai/wiki/library/ramsey_theory/li_2023_two_source_extractors_asymptotically_optimal_entropy/corollary_1_9 https://erdosproblems.ai/wiki/library/ramsey_theory/li_2023_two_source_extractors_asymptotically_optimal_entropy/theorem_1_10 https://erdosproblems.ai/wiki/library/ramsey_theory/li_2023_two_source_extractors_asymptotically_optimal_entropy/theorem_1_11 https://erdosproblems.ai/wiki/library/ramsey_theory/li_2023_two_source_extractors_asymptotically_optimal_entropy/theorem_1_12 https://erdosproblems.ai/wiki/library/ramsey_theory/li_2023_two_source_extractors_asymptotically_optimal_entropy/theorem_1_13 https://erdosproblems.ai/wiki/library/ramsey_theory/li_2023_two_source_extractors_asymptotically_optimal_entropy/theorem_1_14 https://erdosproblems.ai/wiki/library/ramsey_theory/li_2023_two_source_extractors_asymptotically_optimal_entropy/theorem_1_15 https://erdosproblems.ai/wiki/library/ramsey_theory/li_2023_two_source_extractors_asymptotically_optimal_entropy/theorem_1_16 https://erdosproblems.ai/wiki/library/ramsey_theory/li_2023_two_source_extractors_asymptotically_optimal_entropy/theorem_1_6 https://erdosproblems.ai/wiki/library/ramsey_theory/li_2023_two_source_extractors_asymptotically_optimal_entropy/theorem_1_7 https://erdosproblems.ai/wiki/library/ramsey_theory/li_2023_two_source_extractors_asymptotically_optimal_entropy/theorem_1_8 https://erdosproblems.ai/wiki/library/ramsey_theory/li_2023_two_source_extractors_asymptotically_optimal_entropy/theorem_6_2 https://erdosproblems.ai/wiki/library/ramsey_theory/li_2023_two_source_extractors_asymptotically_optimal_entropy/theorem_7_6 https://erdosproblems.ai/wiki/library/ramsey_theory/li_2026_resolution_erdos_problem_550_tree_versus https://erdosproblems.ai/wiki/library/ramsey_theory/li_2026_resolution_erdos_problem_550_tree_versus/theorem_1_1 https://erdosproblems.ai/wiki/library/ramsey_theory/li_2026_resolution_erdos_problem_550_tree_versus/theorem_3_2 https://erdosproblems.ai/wiki/library/ramsey_theory/li_2026_resolution_erdos_problem_550_tree_versus/theorem_5_2 https://erdosproblems.ai/wiki/library/ramsey_theory/li_lih_2009_multi_color_ramsey_numbers_even_cycles https://erdosproblems.ai/wiki/library/ramsey_theory/li_lih_2009_multi_color_ramsey_numbers_even_cycles/lemma_1 https://erdosproblems.ai/wiki/library/ramsey_theory/li_lih_2009_multi_color_ramsey_numbers_even_cycles/lemma_4 https://erdosproblems.ai/wiki/library/ramsey_theory/li_lih_2009_multi_color_ramsey_numbers_even_cycles/lemma_5 https://erdosproblems.ai/wiki/library/ramsey_theory/li_lih_2009_multi_color_ramsey_numbers_even_cycles/theorem_1 https://erdosproblems.ai/wiki/library/ramsey_theory/li_rousseau_zang_2001_asymptotic_upper_bounds_ramsey_functions https://erdosproblems.ai/wiki/library/ramsey_theory/li_rousseau_zang_2001_asymptotic_upper_bounds_ramsey_functions/theorem_2 https://erdosproblems.ai/wiki/library/ramsey_theory/lu_2007_explicit_construction_small_folkman_graphs https://erdosproblems.ai/wiki/library/ramsey_theory/lu_2007_explicit_construction_small_folkman_graphs/table_1 https://erdosproblems.ai/wiki/library/ramsey_theory/lu_2007_explicit_construction_small_folkman_graphs/theorem_1 https://erdosproblems.ai/wiki/library/ramsey_theory/mattheus_2023_asymptotics_r_4_t https://erdosproblems.ai/wiki/library/ramsey_theory/mattheus_2023_asymptotics_r_4_t/theorem_1 https://erdosproblems.ai/wiki/library/ramsey_theory/mccarthy_2025_mathon_type_construction_digraphs_improved_lower_bounds https://erdosproblems.ai/wiki/library/ramsey_theory/mccarthy_2025_mathon_type_construction_digraphs_improved_lower_bounds/corollary_8 https://erdosproblems.ai/wiki/library/ramsey_theory/mccarthy_2025_mathon_type_construction_digraphs_improved_lower_bounds/theorem_1 https://erdosproblems.ai/wiki/library/ramsey_theory/mccarthy_2025_mathon_type_construction_digraphs_improved_lower_bounds/theorem_2 https://erdosproblems.ai/wiki/library/ramsey_theory/mccarthy_2025_mathon_type_construction_digraphs_improved_lower_bounds/theorem_7 https://erdosproblems.ai/wiki/library/ramsey_theory/montellano_ballesteros_neumann_lara_2005_anti_ramsey_theorem_cycles https://erdosproblems.ai/wiki/library/ramsey_theory/montellano_ballesteros_neumann_lara_2005_anti_ramsey_theorem_cycles/theorem_5 https://erdosproblems.ai/wiki/library/ramsey_theory/montgomery_2025_ramsey_numbers_trees https://erdosproblems.ai/wiki/library/ramsey_theory/montgomery_2025_ramsey_numbers_trees/theorem_1_1 https://erdosproblems.ai/wiki/library/ramsey_theory/moon_1966_disjoint_triangles_chromatic_graphs https://erdosproblems.ai/wiki/library/ramsey_theory/moon_1966_disjoint_triangles_chromatic_graphs/theorem_p259 https://erdosproblems.ai/wiki/library/ramsey_theory/moreira_2017_monochromatic_sums_products https://erdosproblems.ai/wiki/library/ramsey_theory/moreira_2017_monochromatic_sums_products/corollary_1_5 https://erdosproblems.ai/wiki/library/ramsey_theory/moreira_2017_monochromatic_sums_products/corollary_1_7 https://erdosproblems.ai/wiki/library/ramsey_theory/moreira_2017_monochromatic_sums_products/question_1_3 https://erdosproblems.ai/wiki/library/ramsey_theory/moreira_2017_monochromatic_sums_products/theorem_1_4 https://erdosproblems.ai/wiki/library/ramsey_theory/morris_2026_recent_results_ramsey_theory https://erdosproblems.ai/wiki/library/ramsey_theory/morris_2026_recent_results_ramsey_theory/theorem_1_5 https://erdosproblems.ai/wiki/library/ramsey_theory/neiman_2022_tighter_bounds_directed_ramsey_number_r_7 https://erdosproblems.ai/wiki/library/ramsey_theory/neiman_2022_tighter_bounds_directed_ramsey_number_r_7/section_3 https://erdosproblems.ai/wiki/library/ramsey_theory/neiman_2022_tighter_bounds_directed_ramsey_number_r_7/section_4 https://erdosproblems.ai/wiki/library/ramsey_theory/neiman_2022_tighter_bounds_directed_ramsey_number_r_7/section_5 https://erdosproblems.ai/wiki/library/ramsey_theory/nesetril_rodl_1978_structure_critical_ramsey_graphs https://erdosproblems.ai/wiki/library/ramsey_theory/nesetril_rodl_1978_structure_critical_ramsey_graphs/conjecture_1 https://erdosproblems.ai/wiki/library/ramsey_theory/nesetril_rodl_1978_structure_critical_ramsey_graphs/conjecture_2 https://erdosproblems.ai/wiki/library/ramsey_theory/nesetril_rodl_1978_structure_critical_ramsey_graphs/theorem_1 https://erdosproblems.ai/wiki/library/ramsey_theory/nesetril_rodl_1978_structure_critical_ramsey_graphs/theorem_2 https://erdosproblems.ai/wiki/library/ramsey_theory/nesetril_rodl_1978_structure_critical_ramsey_graphs/theorem_3 https://erdosproblems.ai/wiki/library/ramsey_theory/nesetril_rodl_1978_structure_critical_ramsey_graphs/theorem_p299 https://erdosproblems.ai/wiki/library/ramsey_theory/nikiforov_2005_cycle_complete_graph_ramsey_numbers https://erdosproblems.ai/wiki/library/ramsey_theory/nikiforov_2005_cycle_complete_graph_ramsey_numbers/conjecture_16 https://erdosproblems.ai/wiki/library/ramsey_theory/nikiforov_2005_cycle_complete_graph_ramsey_numbers/theorem_1 https://erdosproblems.ai/wiki/library/ramsey_theory/norin_2016_asymptotics_ramsey_numbers_double_stars https://erdosproblems.ai/wiki/library/ramsey_theory/norin_2016_asymptotics_ramsey_numbers_double_stars/question_5_1 https://erdosproblems.ai/wiki/library/ramsey_theory/norin_2016_asymptotics_ramsey_numbers_double_stars/question_5_2 https://erdosproblems.ai/wiki/library/ramsey_theory/norin_2016_asymptotics_ramsey_numbers_double_stars/theorem_1_3 https://erdosproblems.ai/wiki/library/ramsey_theory/norin_2016_asymptotics_ramsey_numbers_double_stars/theorem_4_5 https://erdosproblems.ai/wiki/library/ramsey_theory/openai_2026_cycle_clique_ramsey_numbers https://erdosproblems.ai/wiki/library/ramsey_theory/openai_2026_cycle_clique_ramsey_numbers/proposition_9_1 https://erdosproblems.ai/wiki/library/ramsey_theory/openai_2026_cycle_clique_ramsey_numbers/theorem_1_1 https://erdosproblems.ai/wiki/library/ramsey_theory/openai_2026_hypercube_ramsey_number_has_linear_order https://erdosproblems.ai/wiki/library/ramsey_theory/openai_2026_hypercube_ramsey_number_has_linear_order/theorem_1_1 https://erdosproblems.ai/wiki/library/ramsey_theory/openai_2026_monochromatic_finite_sums_products_positive_integers https://erdosproblems.ai/wiki/library/ramsey_theory/openai_2026_monochromatic_finite_sums_products_positive_integers/corollary_1_2 https://erdosproblems.ai/wiki/library/ramsey_theory/openai_2026_monochromatic_finite_sums_products_positive_integers/corollary_2_6 https://erdosproblems.ai/wiki/library/ramsey_theory/openai_2026_monochromatic_finite_sums_products_positive_integers/theorem_1_1 https://erdosproblems.ai/wiki/library/ramsey_theory/openai_2026_ratio_consecutive_ramsey_numbers https://erdosproblems.ai/wiki/library/ramsey_theory/openai_2026_ratio_consecutive_ramsey_numbers/remark_1 https://erdosproblems.ai/wiki/library/ramsey_theory/openai_2026_ratio_consecutive_ramsey_numbers/theorem_1 https://erdosproblems.ai/wiki/library/ramsey_theory/openai_2026_sharp_logarithmic_exponent_r_5_t https://erdosproblems.ai/wiki/library/ramsey_theory/openai_2026_sharp_logarithmic_exponent_r_5_t/theorem_1_1 https://erdosproblems.ai/wiki/library/ramsey_theory/openai_2026_sharp_logarithmic_exponent_r_5_t/theorem_2_1 https://erdosproblems.ai/wiki/library/ramsey_theory/openai_2026_sharp_logarithmic_exponent_r_5_t/theorem_6_5 https://erdosproblems.ai/wiki/library/ramsey_theory/openai_2026_sharp_logarithmic_exponents_fixed_off_diagonal_ramsey_numbers https://erdosproblems.ai/wiki/library/ramsey_theory/openai_2026_sharp_logarithmic_exponents_fixed_off_diagonal_ramsey_numbers/theorem_1_1 https://erdosproblems.ai/wiki/library/ramsey_theory/openai_2026_sharp_logarithmic_exponents_fixed_off_diagonal_ramsey_numbers/theorem_1_2 https://erdosproblems.ai/wiki/library/ramsey_theory/openai_2026_ten_advances_mathematics_theoretical_computer_science https://erdosproblems.ai/wiki/library/ramsey_theory/openai_2026_ten_advances_mathematics_theoretical_computer_science/chapter_10 https://erdosproblems.ai/wiki/library/ramsey_theory/openai_2026_ten_advances_mathematics_theoretical_computer_science/chapter_10/proposition_3_4 https://erdosproblems.ai/wiki/library/ramsey_theory/openai_2026_ten_advances_mathematics_theoretical_computer_science/chapter_10/proposition_4_3 https://erdosproblems.ai/wiki/library/ramsey_theory/openai_2026_ten_advances_mathematics_theoretical_computer_science/chapter_10/proposition_8_1 https://erdosproblems.ai/wiki/library/ramsey_theory/openai_2026_ten_advances_mathematics_theoretical_computer_science/chapter_10/theorem_1_1 https://erdosproblems.ai/wiki/library/ramsey_theory/openai_2026_ten_advances_mathematics_theoretical_computer_science/chapter_10/theorem_1_2 https://erdosproblems.ai/wiki/library/ramsey_theory/openai_2026_ten_advances_mathematics_theoretical_computer_science/chapter_9 https://erdosproblems.ai/wiki/library/ramsey_theory/openai_2026_ten_advances_mathematics_theoretical_computer_science/chapter_9/evidence https://erdosproblems.ai/wiki/library/ramsey_theory/openai_2026_ten_advances_mathematics_theoretical_computer_science/chapter_9/evidence/verify https://erdosproblems.ai/wiki/library/ramsey_theory/openai_2026_ten_advances_mathematics_theoretical_computer_science/chapter_9/evidence/verify/lower_bound_route_review https://erdosproblems.ai/wiki/library/ramsey_theory/openai_2026_ten_advances_mathematics_theoretical_computer_science/chapter_9/evidence/verify/upper_bound_route_grade https://erdosproblems.ai/wiki/library/ramsey_theory/openai_2026_ten_advances_mathematics_theoretical_computer_science/chapter_9/evidence/verify/upper_bound_route_review https://erdosproblems.ai/wiki/library/ramsey_theory/openai_2026_ten_advances_mathematics_theoretical_computer_science/chapter_9/evidence/verify/upper_bound_source_reading https://erdosproblems.ai/wiki/library/ramsey_theory/openai_2026_ten_advances_mathematics_theoretical_computer_science/chapter_9/factorial_upper_bound https://erdosproblems.ai/wiki/library/ramsey_theory/openai_2026_ten_advances_mathematics_theoretical_computer_science/chapter_9/lemma_2_1 https://erdosproblems.ai/wiki/library/ramsey_theory/openai_2026_ten_advances_mathematics_theoretical_computer_science/chapter_9/lemma_2_2 https://erdosproblems.ai/wiki/library/ramsey_theory/openai_2026_ten_advances_mathematics_theoretical_computer_science/chapter_9/lemma_2_3 https://erdosproblems.ai/wiki/library/ramsey_theory/openai_2026_ten_advances_mathematics_theoretical_computer_science/chapter_9/proposition_3_1 https://erdosproblems.ai/wiki/library/ramsey_theory/openai_2026_ten_advances_mathematics_theoretical_computer_science/chapter_9/theorem_1_1 https://erdosproblems.ai/wiki/library/ramsey_theory/owings_1974_e2494_sumset_within_set_or_complement https://erdosproblems.ai/wiki/library/ramsey_theory/owings_1974_e2494_sumset_within_set_or_complement/problem_e2494 https://erdosproblems.ai/wiki/library/ramsey_theory/parsons_1975_ramsey_graphs_block_designs_i https://erdosproblems.ai/wiki/library/ramsey_theory/parsons_1975_ramsey_graphs_block_designs_i/lemma_1 https://erdosproblems.ai/wiki/library/ramsey_theory/parsons_1975_ramsey_graphs_block_designs_i/remark_p35 https://erdosproblems.ai/wiki/library/ramsey_theory/parsons_1975_ramsey_graphs_block_designs_i/theorem_1 https://erdosproblems.ai/wiki/library/ramsey_theory/parsons_1975_ramsey_graphs_block_designs_i/theorem_2 https://erdosproblems.ai/wiki/library/ramsey_theory/pikhurko_2001_size_ramsey_numbers_stars_versus_3_chromatic_graphs https://erdosproblems.ai/wiki/library/ramsey_theory/pikhurko_2001_size_ramsey_numbers_stars_versus_3_chromatic_graphs/corollary_1 https://erdosproblems.ai/wiki/library/ramsey_theory/pikhurko_2001_size_ramsey_numbers_stars_versus_3_chromatic_graphs/remark_p405 https://erdosproblems.ai/wiki/library/ramsey_theory/pikhurko_2001_size_ramsey_numbers_stars_versus_3_chromatic_graphs/theorem_1 https://erdosproblems.ai/wiki/library/ramsey_theory/pikhurko_2001_size_ramsey_numbers_stars_versus_3_chromatic_graphs/theorem_2 https://erdosproblems.ai/wiki/library/ramsey_theory/pokrovskiy_2024_proof_conjecture_erdos_gyarfas_monochromatic_path https://erdosproblems.ai/wiki/library/ramsey_theory/pokrovskiy_2024_proof_conjecture_erdos_gyarfas_monochromatic_path/proposition_3_4 https://erdosproblems.ai/wiki/library/ramsey_theory/pokrovskiy_2024_proof_conjecture_erdos_gyarfas_monochromatic_path/theorem_1_3 https://erdosproblems.ai/wiki/library/ramsey_theory/potechin_2014_note_problem_erdos_rothschild https://erdosproblems.ai/wiki/library/ramsey_theory/potechin_2014_note_problem_erdos_rothschild/corollary_1_4 https://erdosproblems.ai/wiki/library/ramsey_theory/potechin_2014_note_problem_erdos_rothschild/corollary_1_5 https://erdosproblems.ai/wiki/library/ramsey_theory/potechin_2014_note_problem_erdos_rothschild/theorem_1_3 https://erdosproblems.ai/wiki/library/ramsey_theory/promel_voigt_1983_canonical_partition_theorems_parameter_sets https://erdosproblems.ai/wiki/library/ramsey_theory/promel_voigt_1983_canonical_partition_theorems_parameter_sets/erdos_rado_canonization_theorem https://erdosproblems.ai/wiki/library/ramsey_theory/promel_voigt_1983_canonical_partition_theorems_parameter_sets/theorem_c_7 https://erdosproblems.ai/wiki/library/ramsey_theory/promel_voigt_1983_canonical_partition_theorems_parameter_sets/theorem_d_2 https://erdosproblems.ai/wiki/library/ramsey_theory/promel_voigt_1983_canonical_partition_theorems_parameter_sets/theorem_d_5 https://erdosproblems.ai/wiki/library/ramsey_theory/pyber_1986_clique_covering_graphs https://erdosproblems.ai/wiki/library/ramsey_theory/pyber_1986_clique_covering_graphs/theorem_1 https://erdosproblems.ai/wiki/library/ramsey_theory/radziszowski_2007_most_wanted_folkman_graph https://erdosproblems.ai/wiki/library/ramsey_theory/radziszowski_2007_most_wanted_folkman_graph/conjecture_p12 https://erdosproblems.ai/wiki/library/ramsey_theory/radziszowski_2007_most_wanted_folkman_graph/theorem_1 https://erdosproblems.ai/wiki/library/ramsey_theory/radziszowski_2007_most_wanted_folkman_graph/theorem_2 https://erdosproblems.ai/wiki/library/ramsey_theory/radziszowski_2007_most_wanted_folkman_graph/theorem_3 https://erdosproblems.ai/wiki/library/ramsey_theory/ramsey_1930_problem_formal_logic https://erdosproblems.ai/wiki/library/ramsey_theory/ramsey_1930_problem_formal_logic/existential_universal_extension https://erdosproblems.ai/wiki/library/ramsey_theory/ramsey_1930_problem_formal_logic/external_inputs https://erdosproblems.ai/wiki/library/ramsey_theory/ramsey_1930_problem_formal_logic/finite_universe_criterion https://erdosproblems.ai/wiki/library/ramsey_theory/ramsey_1930_problem_formal_logic/graph_factorial_bound https://erdosproblems.ai/wiki/library/ramsey_theory/ramsey_1930_problem_formal_logic/repeated_argument_normalization https://erdosproblems.ai/wiki/library/ramsey_theory/ramsey_1930_problem_formal_logic/serial_form_consistency_theorem https://erdosproblems.ai/wiki/library/ramsey_theory/ramsey_1930_problem_formal_logic/single_binary_relation_six_types https://erdosproblems.ai/wiki/library/ramsey_theory/ramsey_1930_problem_formal_logic/source_corrections https://erdosproblems.ai/wiki/library/ramsey_theory/ramsey_1930_problem_formal_logic/theorem_a_infinite_ramsey https://erdosproblems.ai/wiki/library/ramsey_theory/ramsey_1930_problem_formal_logic/theorem_b_finite_ramsey https://erdosproblems.ai/wiki/library/ramsey_theory/ramsey_1930_problem_formal_logic/theorem_c_two_colour_asymmetric https://erdosproblems.ai/wiki/library/ramsey_theory/ramsey_1930_problem_formal_logic/truth_alternatives_forms_involvement https://erdosproblems.ai/wiki/library/ramsey_theory/reid_parker_1970_disproof_conjecture_erdos_moser_tournaments https://erdosproblems.ai/wiki/library/ramsey_theory/reid_parker_1970_disproof_conjecture_erdos_moser_tournaments/corollary_2 https://erdosproblems.ai/wiki/library/ramsey_theory/reid_parker_1970_disproof_conjecture_erdos_moser_tournaments/theorem_4 https://erdosproblems.ai/wiki/library/ramsey_theory/rodl_szemeredi_2000_size_ramsey_numbers_graphs_bounded_degree https://erdosproblems.ai/wiki/library/ramsey_theory/rodl_szemeredi_2000_size_ramsey_numbers_graphs_bounded_degree/conjecture_p261 https://erdosproblems.ai/wiki/library/ramsey_theory/rodl_szemeredi_2000_size_ramsey_numbers_graphs_bounded_degree/theorem_1 https://erdosproblems.ai/wiki/library/ramsey_theory/sanders_2020_monochromatic_solutions_x_minus_y_z_squared https://erdosproblems.ai/wiki/library/ramsey_theory/sanders_2020_monochromatic_solutions_x_minus_y_z_squared/theorem_1_1 https://erdosproblems.ai/wiki/library/ramsey_theory/sarkozy_2006_anti_ramsey_problem_burr_erdos_graham_sos https://erdosproblems.ai/wiki/library/ramsey_theory/sarkozy_2006_anti_ramsey_problem_burr_erdos_graham_sos/theorem_4 https://erdosproblems.ai/wiki/library/ramsey_theory/saturnino_2026_counterexample_hereditary_triangle_ramsey_compactness_problem https://erdosproblems.ai/wiki/library/ramsey_theory/saturnino_2026_counterexample_hereditary_triangle_ramsey_compactness_problem/lemma_4 https://erdosproblems.ai/wiki/library/ramsey_theory/saturnino_2026_counterexample_hereditary_triangle_ramsey_compactness_problem/main_theorem_1 https://erdosproblems.ai/wiki/library/ramsey_theory/saturnino_2026_counterexample_hereditary_triangle_ramsey_compactness_problem/proposition_9 https://erdosproblems.ai/wiki/library/ramsey_theory/saturnino_2026_counterexample_hereditary_triangle_ramsey_compactness_problem/theorem_2 https://erdosproblems.ai/wiki/library/ramsey_theory/schoen_2021_subexponential_upper_bound_van_der_waerden https://erdosproblems.ai/wiki/library/ramsey_theory/schoen_2021_subexponential_upper_bound_van_der_waerden/theorem_1 https://erdosproblems.ai/wiki/library/ramsey_theory/schur_1916_uber_die_kongruenz https://erdosproblems.ai/wiki/library/ramsey_theory/schur_1916_uber_die_kongruenz/dicksonscher_satz_p115 https://erdosproblems.ai/wiki/library/ramsey_theory/schur_1916_uber_die_kongruenz/hilfssatz_p114 https://erdosproblems.ai/wiki/library/ramsey_theory/schur_1916_uber_die_kongruenz/lower_bound_p117 https://erdosproblems.ai/wiki/library/ramsey_theory/shearer_1983_note_independence_number_triangle_free_graphs https://erdosproblems.ai/wiki/library/ramsey_theory/shearer_1983_note_independence_number_triangle_free_graphs/theorem_1 https://erdosproblems.ai/wiki/library/ramsey_theory/simonovits_1984_restricted_colourings_k_n https://erdosproblems.ai/wiki/library/ramsey_theory/simonovits_1984_restricted_colourings_k_n/theorem_b https://erdosproblems.ai/wiki/library/ramsey_theory/simonovits_1984_restricted_colourings_k_n/theorem_c https://erdosproblems.ai/wiki/library/ramsey_theory/soukup_2015_sums_anti_ramsey_colourings_reals https://erdosproblems.ai/wiki/library/ramsey_theory/soukup_2015_sums_anti_ramsey_colourings_reals/corollary_2_2 https://erdosproblems.ai/wiki/library/ramsey_theory/soukup_2015_sums_anti_ramsey_colourings_reals/corollary_2_3 https://erdosproblems.ai/wiki/library/ramsey_theory/soukup_2015_sums_anti_ramsey_colourings_reals/corollary_3_2 https://erdosproblems.ai/wiki/library/ramsey_theory/soukup_2015_sums_anti_ramsey_colourings_reals/lemma_2_1 https://erdosproblems.ai/wiki/library/ramsey_theory/soukup_2015_sums_anti_ramsey_colourings_reals/theorem_3_1 https://erdosproblems.ai/wiki/library/ramsey_theory/spencer_1975_ramsey_theorem_new_lower_bound https://erdosproblems.ai/wiki/library/ramsey_theory/spencer_1975_ramsey_theorem_new_lower_bound/corollary_1 https://erdosproblems.ai/wiki/library/ramsey_theory/spencer_1975_ramsey_theorem_new_lower_bound/corollary_2 https://erdosproblems.ai/wiki/library/ramsey_theory/spencer_1975_restricted_ramsey_configurations https://erdosproblems.ai/wiki/library/ramsey_theory/spencer_1975_restricted_ramsey_configurations/theorem_1 https://erdosproblems.ai/wiki/library/ramsey_theory/spencer_1977_asymptotic_lower_bounds_ramsey_functions https://erdosproblems.ai/wiki/library/ramsey_theory/spencer_1977_asymptotic_lower_bounds_ramsey_functions/theorem_1_1 https://erdosproblems.ai/wiki/library/ramsey_theory/spencer_1977_asymptotic_lower_bounds_ramsey_functions/theorem_2_1 https://erdosproblems.ai/wiki/library/ramsey_theory/spencer_1977_asymptotic_lower_bounds_ramsey_functions/theorem_2_2 https://erdosproblems.ai/wiki/library/ramsey_theory/spencer_1977_asymptotic_lower_bounds_ramsey_functions/theorem_3_1 https://erdosproblems.ai/wiki/library/ramsey_theory/spencer_1977_asymptotic_lower_bounds_ramsey_functions/theorem_3_3 https://erdosproblems.ai/wiki/library/ramsey_theory/sudakov_2003_few_remarks_ramsey_turan_type_problems https://erdosproblems.ai/wiki/library/ramsey_theory/sudakov_2003_few_remarks_ramsey_turan_type_problems/corollary_2_2 https://erdosproblems.ai/wiki/library/ramsey_theory/sudakov_2003_few_remarks_ramsey_turan_type_problems/lemma_2_1 https://erdosproblems.ai/wiki/library/ramsey_theory/sudakov_2003_few_remarks_ramsey_turan_type_problems/problem_1_1 https://erdosproblems.ai/wiki/library/ramsey_theory/sudakov_2003_few_remarks_ramsey_turan_type_problems/proposition_3_2 https://erdosproblems.ai/wiki/library/ramsey_theory/sudakov_2003_few_remarks_ramsey_turan_type_problems/proposition_4_1 https://erdosproblems.ai/wiki/library/ramsey_theory/sudakov_2003_few_remarks_ramsey_turan_type_problems/theorem_3_1 https://erdosproblems.ai/wiki/library/ramsey_theory/sudakov_2003_few_remarks_ramsey_turan_type_problems/theorem_3_3 https://erdosproblems.ai/wiki/library/ramsey_theory/sudakov_2007_ramsey_numbers_size_graphs https://erdosproblems.ai/wiki/library/ramsey_theory/sudakov_2007_ramsey_numbers_size_graphs/theorem_lower_bound https://erdosproblems.ai/wiki/library/ramsey_theory/sudakov_2011_conjecture_erdos_graph_ramsey_numbers https://erdosproblems.ai/wiki/library/ramsey_theory/sudakov_2011_conjecture_erdos_graph_ramsey_numbers/theorem_1_1 https://erdosproblems.ai/wiki/library/ramsey_theory/taranchuk_2024_new_lower_bound_multicolor_ramsey_number https://erdosproblems.ai/wiki/library/ramsey_theory/taranchuk_2024_new_lower_bound_multicolor_ramsey_number/theorem_1_2 https://erdosproblems.ai/wiki/library/ramsey_theory/taranchuk_2024_new_lower_bound_multicolor_ramsey_number/theorem_1_3 https://erdosproblems.ai/wiki/library/ramsey_theory/taylor_1981_bounds_disjoint_unions_theorem https://erdosproblems.ai/wiki/library/ramsey_theory/taylor_1981_bounds_disjoint_unions_theorem/corollary_3_4 https://erdosproblems.ai/wiki/library/ramsey_theory/taylor_1981_bounds_disjoint_unions_theorem/disjoint_unions_theorem https://erdosproblems.ai/wiki/library/ramsey_theory/taylor_1981_bounds_disjoint_unions_theorem/non_repeating_sums_theorem https://erdosproblems.ai/wiki/library/ramsey_theory/taylor_1981_bounds_disjoint_unions_theorem/theorem_3_1 https://erdosproblems.ai/wiki/library/ramsey_theory/tikhomirov_2022_bounded_degree_graphs_large_size_ramsey https://erdosproblems.ai/wiki/library/ramsey_theory/tikhomirov_2022_bounded_degree_graphs_large_size_ramsey/theorem_1_1 https://erdosproblems.ai/wiki/library/ramsey_theory/tikhomirov_2024_remark_ramsey_number_hypercube https://erdosproblems.ai/wiki/library/ramsey_theory/tikhomirov_2024_remark_ramsey_number_hypercube/corollary_1_2 https://erdosproblems.ai/wiki/library/ramsey_theory/tikhomirov_2024_remark_ramsey_number_hypercube/theorem_1_1 https://erdosproblems.ai/wiki/library/ramsey_theory/voigt_1985_canonizing_partition_theorems_diversification_products_iterated_versions https://erdosproblems.ai/wiki/library/ramsey_theory/voigt_1985_canonizing_partition_theorems_diversification_products_iterated_versions/theorem_10 https://erdosproblems.ai/wiki/library/ramsey_theory/voigt_1985_canonizing_partition_theorems_diversification_products_iterated_versions/theorem_11 https://erdosproblems.ai/wiki/library/ramsey_theory/voigt_1985_canonizing_partition_theorems_diversification_products_iterated_versions/theorem_13 https://erdosproblems.ai/wiki/library/ramsey_theory/voigt_1985_canonizing_partition_theorems_diversification_products_iterated_versions/theorem_14 https://erdosproblems.ai/wiki/library/ramsey_theory/voigt_1985_canonizing_partition_theorems_diversification_products_iterated_versions/theorem_15 https://erdosproblems.ai/wiki/library/ramsey_theory/voigt_1985_canonizing_partition_theorems_diversification_products_iterated_versions/theorem_16 https://erdosproblems.ai/wiki/library/ramsey_theory/voigt_1985_canonizing_partition_theorems_diversification_products_iterated_versions/theorem_18 https://erdosproblems.ai/wiki/library/ramsey_theory/voigt_1985_canonizing_partition_theorems_diversification_products_iterated_versions/theorem_3 https://erdosproblems.ai/wiki/library/ramsey_theory/voigt_1985_canonizing_partition_theorems_diversification_products_iterated_versions/theorem_4 https://erdosproblems.ai/wiki/library/ramsey_theory/voigt_1985_canonizing_partition_theorems_diversification_products_iterated_versions/theorem_5 https://erdosproblems.ai/wiki/library/ramsey_theory/voigt_1985_canonizing_partition_theorems_diversification_products_iterated_versions/theorem_6 https://erdosproblems.ai/wiki/library/ramsey_theory/voigt_1985_canonizing_partition_theorems_diversification_products_iterated_versions/theorem_8 https://erdosproblems.ai/wiki/library/ramsey_theory/voigt_1985_canonizing_partition_theorems_diversification_products_iterated_versions/theorem_9_p355 https://erdosproblems.ai/wiki/library/ramsey_theory/voigt_1985_canonizing_partition_theorems_diversification_products_iterated_versions/theorem_9_p364 https://erdosproblems.ai/wiki/library/ramsey_theory/wan_1997_upper_bounds_ramsey_numbers_r_3_3_3_schur_numbers https://erdosproblems.ai/wiki/library/ramsey_theory/wan_1997_upper_bounds_ramsey_numbers_r_3_3_3_schur_numbers/theorem_2_4 https://erdosproblems.ai/wiki/library/ramsey_theory/wan_1997_upper_bounds_ramsey_numbers_r_3_3_3_schur_numbers/theorem_3_2 https://erdosproblems.ai/wiki/library/ramsey_theory/wigderson_2024_infinitely_many_minimally_non_ramsey_size https://erdosproblems.ai/wiki/library/ramsey_theory/wigderson_2024_infinitely_many_minimally_non_ramsey_size/theorem_1 https://erdosproblems.ai/wiki/library/ramsey_theory/wu_2015_ramsey_numbers_c_4_versus_wheels_stars https://erdosproblems.ai/wiki/library/ramsey_theory/wu_2015_ramsey_numbers_c_4_versus_wheels_stars/lemma_8 https://erdosproblems.ai/wiki/library/ramsey_theory/wu_2015_ramsey_numbers_c_4_versus_wheels_stars/theorem_1 https://erdosproblems.ai/wiki/library/ramsey_theory/wu_2015_ramsey_numbers_c_4_versus_wheels_stars/theorem_2 https://erdosproblems.ai/wiki/library/ramsey_theory/wu_2015_ramsey_numbers_c_4_versus_wheels_stars/theorem_3 https://erdosproblems.ai/wiki/library/ramsey_theory/wu_2015_ramsey_numbers_c_4_versus_wheels_stars/theorem_4 https://erdosproblems.ai/wiki/library/ramsey_theory/yuan_2021_anti_ramsey_numbers_paths https://erdosproblems.ai/wiki/library/ramsey_theory/yuan_2021_anti_ramsey_numbers_paths/theorem_1 https://erdosproblems.ai/wiki/library/ramsey_theory/zhang_2017_polarity_graphs_ramsey_numbers_c_4_versus_stars https://erdosproblems.ai/wiki/library/ramsey_theory/zhang_2017_polarity_graphs_ramsey_numbers_c_4_versus_stars/question_1 https://erdosproblems.ai/wiki/library/ramsey_theory/zhang_2017_polarity_graphs_ramsey_numbers_c_4_versus_stars/theorem_4 https://erdosproblems.ai/wiki/library/ramsey_theory/zhang_2017_some_values_ramsey_numbers_c_4_versus_stars https://erdosproblems.ai/wiki/library/ramsey_theory/zhang_2017_some_values_ramsey_numbers_c_4_versus_stars/lemma_2 https://erdosproblems.ai/wiki/library/ramsey_theory/zhang_2017_some_values_ramsey_numbers_c_4_versus_stars/question_p76 https://erdosproblems.ai/wiki/library/ramsey_theory/zhang_2017_some_values_ramsey_numbers_c_4_versus_stars/theorem_6 https://erdosproblems.ai/wiki/library/ramsey_theory/zhang_2017_some_values_ramsey_numbers_c_4_versus_stars/theorem_7 https://erdosproblems.ai/wiki/library/set_systems https://erdosproblems.ai/wiki/library/set_systems/abel_2024_improvements_lower_bounds_mutually_orthogonal_latin https://erdosproblems.ai/wiki/library/set_systems/abel_2024_improvements_lower_bounds_mutually_orthogonal_latin/theorem_1 https://erdosproblems.ai/wiki/library/set_systems/abel_2024_improvements_lower_bounds_mutually_orthogonal_latin/theorem_2 https://erdosproblems.ai/wiki/library/set_systems/abel_2024_improvements_lower_bounds_mutually_orthogonal_latin/theorem_3 https://erdosproblems.ai/wiki/library/set_systems/achlioptas_iliopoulos_sinclair_2020_point_set_correlations https://erdosproblems.ai/wiki/library/set_systems/achlioptas_iliopoulos_sinclair_2020_point_set_correlations/theorem_2_4 https://erdosproblems.ai/wiki/library/set_systems/achlioptas_iliopoulos_sinclair_2020_point_set_correlations/theorem_2_5 https://erdosproblems.ai/wiki/library/set_systems/achlioptas_iliopoulos_sinclair_2020_point_set_correlations/theorem_2_6 https://erdosproblems.ai/wiki/library/set_systems/aharoni_berger_briggs_guo_zerbib_2023_looms https://erdosproblems.ai/wiki/library/set_systems/aharoni_berger_briggs_guo_zerbib_2023_looms/conjecture_4_2 https://erdosproblems.ai/wiki/library/set_systems/aharoni_berger_briggs_guo_zerbib_2023_looms/definition_1_5 https://erdosproblems.ai/wiki/library/set_systems/aharoni_berger_briggs_guo_zerbib_2023_looms/theorem_2_6 https://erdosproblems.ai/wiki/library/set_systems/aharoni_berger_briggs_guo_zerbib_2023_looms/theorem_3_1 https://erdosproblems.ai/wiki/library/set_systems/aharoni_berger_briggs_guo_zerbib_2023_looms/theorem_3_5 https://erdosproblems.ai/wiki/library/set_systems/aharoni_berger_briggs_guo_zerbib_2023_looms/theorem_5_6 https://erdosproblems.ai/wiki/library/set_systems/aharoni_berger_briggs_guo_zerbib_2023_looms/theorem_6_2 https://erdosproblems.ai/wiki/library/set_systems/aharoni_berger_briggs_guo_zerbib_2023_looms/theorem_6_4 https://erdosproblems.ai/wiki/library/set_systems/aharoni_berger_briggs_guo_zerbib_2023_looms/theorem_7_1 https://erdosproblems.ai/wiki/library/set_systems/aharoni_berger_briggs_guo_zerbib_2023_looms/theorem_8_1 https://erdosproblems.ai/wiki/library/set_systems/aharoni_berger_briggs_guo_zerbib_2023_looms/theorem_8_3 https://erdosproblems.ai/wiki/library/set_systems/aharoni_berger_meshulam_2003_flag_complexes_vector_representations https://erdosproblems.ai/wiki/library/set_systems/aharoni_berger_meshulam_2003_flag_complexes_vector_representations/theorem_1_1 https://erdosproblems.ai/wiki/library/set_systems/aharoni_berger_meshulam_2003_flag_complexes_vector_representations/theorem_1_2 https://erdosproblems.ai/wiki/library/set_systems/aharoni_berger_meshulam_2003_flag_complexes_vector_representations/theorem_1_3 https://erdosproblems.ai/wiki/library/set_systems/aharoni_berger_meshulam_2003_flag_complexes_vector_representations/theorem_1_5 https://erdosproblems.ai/wiki/library/set_systems/aharoni_berger_meshulam_2003_flag_complexes_vector_representations/theorem_4_1 https://erdosproblems.ai/wiki/library/set_systems/aharoni_berger_meshulam_2003_flag_complexes_vector_representations/theorem_5_2 https://erdosproblems.ai/wiki/library/set_systems/ahlswede_1997_complete_intersection_theorem_systems_finite_sets https://erdosproblems.ai/wiki/library/set_systems/ahlswede_1997_complete_intersection_theorem_systems_finite_sets/four_m_conjecture https://erdosproblems.ai/wiki/library/set_systems/ahlswede_1997_complete_intersection_theorem_systems_finite_sets/theorem https://erdosproblems.ai/wiki/library/set_systems/alon_2013_sunflowers_matrix_multiplication https://erdosproblems.ai/wiki/library/set_systems/alon_2013_sunflowers_matrix_multiplication/theorem_2_3 https://erdosproblems.ai/wiki/library/set_systems/alon_2013_sunflowers_matrix_multiplication/theorem_2_6 https://erdosproblems.ai/wiki/library/set_systems/alon_2013_sunflowers_matrix_multiplication/theorem_2_7 https://erdosproblems.ai/wiki/library/set_systems/alon_2013_sunflowers_matrix_multiplication/theorem_3_2 https://erdosproblems.ai/wiki/library/set_systems/alon_2013_sunflowers_matrix_multiplication/theorem_3_7 https://erdosproblems.ai/wiki/library/set_systems/alon_2013_sunflowers_matrix_multiplication/theorem_3_9 https://erdosproblems.ai/wiki/library/set_systems/alweiss_2020_improved_bounds_sunflower_lemma https://erdosproblems.ai/wiki/library/set_systems/alweiss_2020_improved_bounds_sunflower_lemma/lemma_3_1 https://erdosproblems.ai/wiki/library/set_systems/alweiss_2020_improved_bounds_sunflower_lemma/theorem_1_4 https://erdosproblems.ai/wiki/library/set_systems/alweiss_2020_improved_bounds_sunflower_lemma/theorem_1_9 https://erdosproblems.ai/wiki/library/set_systems/alweiss_2020_improved_bounds_sunflower_lemma/theorem_2_5 https://erdosproblems.ai/wiki/library/set_systems/alweiss_2020_improved_bounds_sunflower_lemma/theorem_4_1 https://erdosproblems.ai/wiki/library/set_systems/barat_2021_intersecting_hypergraphs_maximal_covering_number https://erdosproblems.ai/wiki/library/set_systems/barat_2021_intersecting_hypergraphs_maximal_covering_number/biplanes_covering_number https://erdosproblems.ai/wiki/library/set_systems/barat_2021_intersecting_hypergraphs_maximal_covering_number/corollary_7_3 https://erdosproblems.ai/wiki/library/set_systems/barat_2021_intersecting_hypergraphs_maximal_covering_number/corollary_7_4 https://erdosproblems.ai/wiki/library/set_systems/barat_2021_intersecting_hypergraphs_maximal_covering_number/corollary_7_5 https://erdosproblems.ai/wiki/library/set_systems/barat_2021_intersecting_hypergraphs_maximal_covering_number/proposition_3_1 https://erdosproblems.ai/wiki/library/set_systems/barat_2021_intersecting_hypergraphs_maximal_covering_number/theorem_6_7 https://erdosproblems.ai/wiki/library/set_systems/barat_2021_intersecting_hypergraphs_maximal_covering_number/theorem_p8 https://erdosproblems.ai/wiki/library/set_systems/bell_2021_note_sunflowers https://erdosproblems.ai/wiki/library/set_systems/bell_2021_note_sunflowers/lemma_2 https://erdosproblems.ai/wiki/library/set_systems/bell_2021_note_sunflowers/lemma_4 https://erdosproblems.ai/wiki/library/set_systems/bell_2021_note_sunflowers/theorem_1 https://erdosproblems.ai/wiki/library/set_systems/bell_2021_note_sunflowers/theorem_3 https://erdosproblems.ai/wiki/library/set_systems/bohman_2019_large_girth_approximate_steiner_triple_systems https://erdosproblems.ai/wiki/library/set_systems/bohman_2019_large_girth_approximate_steiner_triple_systems/theorem_1_3 https://erdosproblems.ai/wiki/library/set_systems/bohman_2019_large_girth_approximate_steiner_triple_systems/theorem_2_4 https://erdosproblems.ai/wiki/library/set_systems/bollobas_1976_sets_independent_edges_hypergraph https://erdosproblems.ai/wiki/library/set_systems/bollobas_1976_sets_independent_edges_hypergraph/corollary_1 https://erdosproblems.ai/wiki/library/set_systems/bollobas_1976_sets_independent_edges_hypergraph/corollary_2 https://erdosproblems.ai/wiki/library/set_systems/bollobas_1976_sets_independent_edges_hypergraph/theorem_1 https://erdosproblems.ai/wiki/library/set_systems/bollobas_1976_sets_independent_edges_hypergraph/theorem_2 https://erdosproblems.ai/wiki/library/set_systems/bose_1960_further_results_construction_mutually_orthogonal_latin https://erdosproblems.ai/wiki/library/set_systems/bose_1960_further_results_construction_mutually_orthogonal_latin/theorem_1 https://erdosproblems.ai/wiki/library/set_systems/bose_1960_further_results_construction_mutually_orthogonal_latin/theorem_10 https://erdosproblems.ai/wiki/library/set_systems/bose_1960_further_results_construction_mutually_orthogonal_latin/theorem_8 https://erdosproblems.ai/wiki/library/set_systems/bose_1960_further_results_construction_mutually_orthogonal_latin/theorem_9 https://erdosproblems.ai/wiki/library/set_systems/bruck_1949_nonexistence_certain_finite_projective_planes https://erdosproblems.ai/wiki/library/set_systems/bruck_1949_nonexistence_certain_finite_projective_planes/theorem_1 https://erdosproblems.ai/wiki/library/set_systems/bruck_1949_nonexistence_certain_finite_projective_planes/theorem_2 https://erdosproblems.ai/wiki/library/set_systems/bruck_1949_nonexistence_certain_finite_projective_planes/theorem_3 https://erdosproblems.ai/wiki/library/set_systems/bruijn_1948_combinatorial_problem https://erdosproblems.ai/wiki/library/set_systems/bruijn_1948_combinatorial_problem/corollary_p421 https://erdosproblems.ai/wiki/library/set_systems/bruijn_1948_combinatorial_problem/remark_p422 https://erdosproblems.ai/wiki/library/set_systems/bruijn_1948_combinatorial_problem/theorem_1 https://erdosproblems.ai/wiki/library/set_systems/bruijn_1948_combinatorial_problem/theorem_p421 https://erdosproblems.ai/wiki/library/set_systems/bucic_et_al_2019_covering_graphs_by_monochromatic_trees_helly_type_results_hypergraphs https://erdosproblems.ai/wiki/library/set_systems/bucic_et_al_2019_covering_graphs_by_monochromatic_trees_helly_type_results_hypergraphs/corollary_2_9 https://erdosproblems.ai/wiki/library/set_systems/bucic_et_al_2019_covering_graphs_by_monochromatic_trees_helly_type_results_hypergraphs/lemma_5_10 https://erdosproblems.ai/wiki/library/set_systems/bucic_et_al_2019_covering_graphs_by_monochromatic_trees_helly_type_results_hypergraphs/lemma_5_8 https://erdosproblems.ai/wiki/library/set_systems/bucic_et_al_2019_covering_graphs_by_monochromatic_trees_helly_type_results_hypergraphs/observation_5_1 https://erdosproblems.ai/wiki/library/set_systems/bucic_et_al_2019_covering_graphs_by_monochromatic_trees_helly_type_results_hypergraphs/proposition_5_6 https://erdosproblems.ai/wiki/library/set_systems/bucic_et_al_2019_covering_graphs_by_monochromatic_trees_helly_type_results_hypergraphs/proposition_a_1 https://erdosproblems.ai/wiki/library/set_systems/bucic_et_al_2019_covering_graphs_by_monochromatic_trees_helly_type_results_hypergraphs/theorem_1_2 https://erdosproblems.ai/wiki/library/set_systems/bucic_et_al_2019_covering_graphs_by_monochromatic_trees_helly_type_results_hypergraphs/theorem_1_3 https://erdosproblems.ai/wiki/library/set_systems/bucic_et_al_2019_covering_graphs_by_monochromatic_trees_helly_type_results_hypergraphs/theorem_1_4 https://erdosproblems.ai/wiki/library/set_systems/bucic_et_al_2019_covering_graphs_by_monochromatic_trees_helly_type_results_hypergraphs/theorem_1_5 https://erdosproblems.ai/wiki/library/set_systems/bucic_et_al_2019_covering_graphs_by_monochromatic_trees_helly_type_results_hypergraphs/theorem_1_6 https://erdosproblems.ai/wiki/library/set_systems/bucic_et_al_2019_covering_graphs_by_monochromatic_trees_helly_type_results_hypergraphs/theorem_1_7 https://erdosproblems.ai/wiki/library/set_systems/bucic_et_al_2019_covering_graphs_by_monochromatic_trees_helly_type_results_hypergraphs/theorem_5_2 https://erdosproblems.ai/wiki/library/set_systems/bucic_et_al_2019_covering_graphs_by_monochromatic_trees_helly_type_results_hypergraphs/theorem_5_3 https://erdosproblems.ai/wiki/library/set_systems/bucic_et_al_2019_covering_graphs_by_monochromatic_trees_helly_type_results_hypergraphs/theorem_5_7 https://erdosproblems.ai/wiki/library/set_systems/bucic_et_al_2019_covering_graphs_by_monochromatic_trees_helly_type_results_hypergraphs/theorem_6_1 https://erdosproblems.ai/wiki/library/set_systems/chowla_1960_maximum_number_pairwise_orthogonal_latin_squares https://erdosproblems.ai/wiki/library/set_systems/chowla_1960_maximum_number_pairwise_orthogonal_latin_squares/section_2 https://erdosproblems.ai/wiki/library/set_systems/chowla_1960_maximum_number_pairwise_orthogonal_latin_squares/theorem_p208 https://erdosproblems.ai/wiki/library/set_systems/chvatal_1974_intersecting_families_edges_hypergraphs_hereditary_property https://erdosproblems.ai/wiki/library/set_systems/chvatal_1974_intersecting_families_edges_hypergraphs_hereditary_property/conjecture_p65 https://erdosproblems.ai/wiki/library/set_systems/chvatal_1974_intersecting_families_edges_hypergraphs_hereditary_property/remark_p66 https://erdosproblems.ai/wiki/library/set_systems/chvatal_1974_intersecting_families_edges_hypergraphs_hereditary_property/theorem_p62 https://erdosproblems.ai/wiki/library/set_systems/conlon_2016_short_proofs_extremal_results_ii https://erdosproblems.ai/wiki/library/set_systems/conlon_2023_new_bound_brown_erdos_sos_problem https://erdosproblems.ai/wiki/library/set_systems/conlon_2023_new_bound_brown_erdos_sos_problem/conjecture_1_1 https://erdosproblems.ai/wiki/library/set_systems/conlon_2023_new_bound_brown_erdos_sos_problem/corollary_2 https://erdosproblems.ai/wiki/library/set_systems/conlon_2023_new_bound_brown_erdos_sos_problem/proposition_1_2 https://erdosproblems.ai/wiki/library/set_systems/conlon_2023_new_bound_brown_erdos_sos_problem/theorem_1 https://erdosproblems.ai/wiki/library/set_systems/conlon_2023_new_bound_brown_erdos_sos_problem/theorem_4 https://erdosproblems.ai/wiki/library/set_systems/cunningham_marsh_1978_primal_algorithm_optimum_matching https://erdosproblems.ai/wiki/library/set_systems/cunningham_marsh_1978_primal_algorithm_optimum_matching/item_29 https://erdosproblems.ai/wiki/library/set_systems/cunningham_marsh_1978_primal_algorithm_optimum_matching/theorem_46 https://erdosproblems.ai/wiki/library/set_systems/cunningham_marsh_1978_primal_algorithm_optimum_matching/theorem_49 https://erdosproblems.ai/wiki/library/set_systems/cunningham_marsh_1978_primal_algorithm_optimum_matching/theorem_51 https://erdosproblems.ai/wiki/library/set_systems/cunningham_marsh_1978_primal_algorithm_optimum_matching/theorem_52 https://erdosproblems.ai/wiki/library/set_systems/cunningham_marsh_1978_primal_algorithm_optimum_matching/theorem_53 https://erdosproblems.ai/wiki/library/set_systems/edmonds_1965_transversals_matroid_partition https://erdosproblems.ai/wiki/library/set_systems/edmonds_1965_transversals_matroid_partition/definitions https://erdosproblems.ai/wiki/library/set_systems/edmonds_1965_transversals_matroid_partition/external_inputs https://erdosproblems.ai/wiki/library/set_systems/edmonds_1965_transversals_matroid_partition/finite_matroid_facts https://erdosproblems.ai/wiki/library/set_systems/edmonds_1965_transversals_matroid_partition/graphic_matroid https://erdosproblems.ai/wiki/library/set_systems/edmonds_1965_transversals_matroid_partition/hall_partition https://erdosproblems.ai/wiki/library/set_systems/edmonds_1965_transversals_matroid_partition/lemma_1 https://erdosproblems.ai/wiki/library/set_systems/edmonds_1965_transversals_matroid_partition/lemma_2 https://erdosproblems.ai/wiki/library/set_systems/edmonds_1965_transversals_matroid_partition/lemma_3 https://erdosproblems.ai/wiki/library/set_systems/edmonds_1965_transversals_matroid_partition/matching_matroids https://erdosproblems.ai/wiki/library/set_systems/edmonds_1965_transversals_matroid_partition/matching_transversal https://erdosproblems.ai/wiki/library/set_systems/edmonds_1965_transversals_matroid_partition/restriction_contraction https://erdosproblems.ai/wiki/library/set_systems/edmonds_1965_transversals_matroid_partition/series_characterization https://erdosproblems.ai/wiki/library/set_systems/edmonds_1965_transversals_matroid_partition/series_extension https://erdosproblems.ai/wiki/library/set_systems/edmonds_1965_transversals_matroid_partition/theorem_1a https://erdosproblems.ai/wiki/library/set_systems/edmonds_1965_transversals_matroid_partition/theorem_1b https://erdosproblems.ai/wiki/library/set_systems/edmonds_1965_transversals_matroid_partition/theorem_1c https://erdosproblems.ai/wiki/library/set_systems/edmonds_1965_transversals_matroid_partition/theorem_1d https://erdosproblems.ai/wiki/library/set_systems/edmonds_1965_transversals_matroid_partition/theorem_2a https://erdosproblems.ai/wiki/library/set_systems/edmonds_1965_transversals_matroid_partition/theorem_2b https://erdosproblems.ai/wiki/library/set_systems/edmonds_1965_transversals_matroid_partition/theorem_2c https://erdosproblems.ai/wiki/library/set_systems/edmonds_1965_transversals_matroid_partition/theorem_2d https://erdosproblems.ai/wiki/library/set_systems/edmonds_1965_transversals_matroid_partition/theorems_1_2 https://erdosproblems.ai/wiki/library/set_systems/edmonds_1965_transversals_matroid_partition/transversal_maximum https://erdosproblems.ai/wiki/library/set_systems/edmonds_1965_transversals_matroid_partition/transversal_series_extension https://erdosproblems.ai/wiki/library/set_systems/ellis_2010_irredundant_families_subcubes https://erdosproblems.ai/wiki/library/set_systems/ellis_2010_irredundant_families_subcubes/corollary_10 https://erdosproblems.ai/wiki/library/set_systems/ellis_2010_irredundant_families_subcubes/corollary_5 https://erdosproblems.ai/wiki/library/set_systems/ellis_2010_irredundant_families_subcubes/theorem_12 https://erdosproblems.ai/wiki/library/set_systems/ellis_2010_irredundant_families_subcubes/theorem_3 https://erdosproblems.ai/wiki/library/set_systems/ellis_2010_irredundant_families_subcubes/theorem_4 https://erdosproblems.ai/wiki/library/set_systems/ellis_2010_irredundant_families_subcubes/theorem_7 https://erdosproblems.ai/wiki/library/set_systems/ellis_2010_irredundant_families_subcubes/theorem_8 https://erdosproblems.ai/wiki/library/set_systems/erdos_1946_asymptotic_number_latin_rectangles https://erdosproblems.ai/wiki/library/set_systems/erdos_1946_asymptotic_number_latin_rectangles/series_p234 https://erdosproblems.ai/wiki/library/set_systems/erdos_1946_asymptotic_number_latin_rectangles/theorem_1 https://erdosproblems.ai/wiki/library/set_systems/erdos_1946_asymptotic_number_latin_rectangles/theorem_2 https://erdosproblems.ai/wiki/library/set_systems/erdos_1960_intersection_theorems_systems_sets https://erdosproblems.ai/wiki/library/set_systems/erdos_1960_intersection_theorems_systems_sets/conjecture_p86 https://erdosproblems.ai/wiki/library/set_systems/erdos_1960_intersection_theorems_systems_sets/theorem_1 https://erdosproblems.ai/wiki/library/set_systems/erdos_1960_intersection_theorems_systems_sets/theorem_2 https://erdosproblems.ai/wiki/library/set_systems/erdos_1960_intersection_theorems_systems_sets/theorem_3 https://erdosproblems.ai/wiki/library/set_systems/erdos_1961_intersection_theorems_systems_finite_sets https://erdosproblems.ai/wiki/library/set_systems/erdos_1961_intersection_theorems_systems_finite_sets/conjecture_p319 https://erdosproblems.ai/wiki/library/set_systems/erdos_1961_intersection_theorems_systems_finite_sets/theorem_1 https://erdosproblems.ai/wiki/library/set_systems/erdos_1961_intersection_theorems_systems_finite_sets/theorem_2 https://erdosproblems.ai/wiki/library/set_systems/erdos_1963_combinatorial_problem https://erdosproblems.ai/wiki/library/set_systems/erdos_1963_combinatorial_problem/lemma_p7 https://erdosproblems.ai/wiki/library/set_systems/erdos_1963_combinatorial_problem/theorem_1 https://erdosproblems.ai/wiki/library/set_systems/erdos_1963_combinatorial_problem/theorem_2 https://erdosproblems.ai/wiki/library/set_systems/erdos_1964_combinatorial_problem https://erdosproblems.ai/wiki/library/set_systems/erdos_1964_combinatorial_problem/theorem_1 https://erdosproblems.ai/wiki/library/set_systems/erdos_1964_combinatorial_problem/theorem_2 https://erdosproblems.ai/wiki/library/set_systems/erdos_1965_problem_independent_tuples https://erdosproblems.ai/wiki/library/set_systems/erdos_1965_problem_independent_tuples/conjecture_p95 https://erdosproblems.ai/wiki/library/set_systems/erdos_1965_problem_independent_tuples/theorem https://erdosproblems.ai/wiki/library/set_systems/erdos_1968_egy_kombinatorikus_problemarol https://erdosproblems.ai/wiki/library/set_systems/erdos_1968_egy_kombinatorikus_problemarol/conjecture_p346 https://erdosproblems.ai/wiki/library/set_systems/erdos_1968_egy_kombinatorikus_problemarol/theorem_p345 https://erdosproblems.ai/wiki/library/set_systems/erdos_1981_combinatorial_problems_which_i_would_most https://erdosproblems.ai/wiki/library/set_systems/erdos_1982_pairwise_balanced_block_designs_sizes_blocks https://erdosproblems.ai/wiki/library/set_systems/erdos_1982_pairwise_balanced_block_designs_sizes_blocks/lemma_2 https://erdosproblems.ai/wiki/library/set_systems/erdos_1982_pairwise_balanced_block_designs_sizes_blocks/theorem_1 https://erdosproblems.ai/wiki/library/set_systems/erdos_1982_pairwise_balanced_block_designs_sizes_blocks/theorem_p130 https://erdosproblems.ai/wiki/library/set_systems/erdos_1983_intersection_properties_families_containing_sets_nearly https://erdosproblems.ai/wiki/library/set_systems/erdos_1983_intersection_properties_families_containing_sets_nearly/corollary_p255 https://erdosproblems.ai/wiki/library/set_systems/erdos_1983_intersection_properties_families_containing_sets_nearly/theorem_1 https://erdosproblems.ai/wiki/library/set_systems/erdos_1983_intersection_properties_families_containing_sets_nearly/theorem_2 https://erdosproblems.ai/wiki/library/set_systems/erdos_1985_2_designs https://erdosproblems.ai/wiki/library/set_systems/erdos_1985_2_designs/theorem_1 https://erdosproblems.ai/wiki/library/set_systems/erdos_1985_2_designs/theorem_2 https://erdosproblems.ai/wiki/library/set_systems/erdos_1985_2_designs/theorem_3 https://erdosproblems.ai/wiki/library/set_systems/erdos_1985_2_designs/theorem_4 https://erdosproblems.ai/wiki/library/set_systems/falikman_1981_proof_van_der_waerden_conjecture_permanent https://erdosproblems.ai/wiki/library/set_systems/falikman_1981_proof_van_der_waerden_conjecture_permanent/theorem_1 https://erdosproblems.ai/wiki/library/set_systems/falikman_1981_proof_van_der_waerden_conjecture_permanent/theorem_2 https://erdosproblems.ai/wiki/library/set_systems/fici_2023_abelian_combinatorics_words_survey https://erdosproblems.ai/wiki/library/set_systems/fon_der_flaass_et_al_1999_transversals_uniform_hypergraphs_property_7_2 https://erdosproblems.ai/wiki/library/set_systems/fon_der_flaass_et_al_1999_transversals_uniform_hypergraphs_property_7_2/lemma_1 https://erdosproblems.ai/wiki/library/set_systems/fon_der_flaass_et_al_1999_transversals_uniform_hypergraphs_property_7_2/theorem_1 https://erdosproblems.ai/wiki/library/set_systems/fon_der_flaass_et_al_1999_transversals_uniform_hypergraphs_property_7_2/theorem_2 https://erdosproblems.ai/wiki/library/set_systems/ford_1958_network_flow_systems_representatives https://erdosproblems.ai/wiki/library/set_systems/ford_1958_network_flow_systems_representatives/common_sdr https://erdosproblems.ai/wiki/library/set_systems/ford_1958_network_flow_systems_representatives/definitions https://erdosproblems.ai/wiki/library/set_systems/ford_1958_network_flow_systems_representatives/external_inputs https://erdosproblems.ai/wiki/library/set_systems/ford_1958_network_flow_systems_representatives/hall_flow https://erdosproblems.ai/wiki/library/set_systems/ford_1958_network_flow_systems_representatives/identical_families https://erdosproblems.ai/wiki/library/set_systems/ford_1958_network_flow_systems_representatives/prescribed_representatives https://erdosproblems.ai/wiki/library/set_systems/ford_1958_network_flow_systems_representatives/theorem_1 https://erdosproblems.ai/wiki/library/set_systems/ford_1958_network_flow_systems_representatives/theorem_2 https://erdosproblems.ai/wiki/library/set_systems/frankl_1977_families_finite_sets_intersect_singleton https://erdosproblems.ai/wiki/library/set_systems/frankl_1977_families_finite_sets_intersect_singleton/main_theorem https://erdosproblems.ai/wiki/library/set_systems/frankl_1977_families_finite_sets_intersect_singleton/theorem_1 https://erdosproblems.ai/wiki/library/set_systems/frankl_1977_families_finite_sets_intersect_singleton/theorem_2 https://erdosproblems.ai/wiki/library/set_systems/frankl_1984_hypergraphs_without_two_edges_intersecting_given https://erdosproblems.ai/wiki/library/set_systems/frankl_1984_hypergraphs_without_two_edges_intersecting_given/corollary_1_6 https://erdosproblems.ai/wiki/library/set_systems/frankl_1984_hypergraphs_without_two_edges_intersecting_given/remark_3_2 https://erdosproblems.ai/wiki/library/set_systems/frankl_1984_hypergraphs_without_two_edges_intersecting_given/theorem_1_3 https://erdosproblems.ai/wiki/library/set_systems/frankl_1984_hypergraphs_without_two_edges_intersecting_given/theorem_1_5 https://erdosproblems.ai/wiki/library/set_systems/frankl_1987_forbidden_intersections https://erdosproblems.ai/wiki/library/set_systems/frankl_1987_forbidden_intersections/corollary_1_6 https://erdosproblems.ai/wiki/library/set_systems/frankl_1987_forbidden_intersections/definitions https://erdosproblems.ai/wiki/library/set_systems/frankl_1987_forbidden_intersections/entropy_estimates https://erdosproblems.ai/wiki/library/set_systems/frankl_1987_forbidden_intersections/external_inputs https://erdosproblems.ai/wiki/library/set_systems/frankl_1987_forbidden_intersections/large_set_construction https://erdosproblems.ai/wiki/library/set_systems/frankl_1987_forbidden_intersections/lemma_4_1 https://erdosproblems.ai/wiki/library/set_systems/frankl_1987_forbidden_intersections/numerical_corollaries_scope https://erdosproblems.ai/wiki/library/set_systems/frankl_1987_forbidden_intersections/product_measure_separation https://erdosproblems.ai/wiki/library/set_systems/frankl_1987_forbidden_intersections/proposition_10_1 https://erdosproblems.ai/wiki/library/set_systems/frankl_1987_forbidden_intersections/proposition_10_4 https://erdosproblems.ai/wiki/library/set_systems/frankl_1987_forbidden_intersections/proposition_2_3 https://erdosproblems.ai/wiki/library/set_systems/frankl_1987_forbidden_intersections/proposition_7_2 https://erdosproblems.ai/wiki/library/set_systems/frankl_1987_forbidden_intersections/slice_separation https://erdosproblems.ai/wiki/library/set_systems/frankl_1987_forbidden_intersections/source_scope https://erdosproblems.ai/wiki/library/set_systems/frankl_1987_forbidden_intersections/theorem_10_2 https://erdosproblems.ai/wiki/library/set_systems/frankl_1987_forbidden_intersections/theorem_10_3 https://erdosproblems.ai/wiki/library/set_systems/frankl_1987_forbidden_intersections/theorem_10_5 https://erdosproblems.ai/wiki/library/set_systems/frankl_1987_forbidden_intersections/theorem_11_1 https://erdosproblems.ai/wiki/library/set_systems/frankl_1987_forbidden_intersections/theorem_1_1 https://erdosproblems.ai/wiki/library/set_systems/frankl_1987_forbidden_intersections/theorem_1_10 https://erdosproblems.ai/wiki/library/set_systems/frankl_1987_forbidden_intersections/theorem_1_11 https://erdosproblems.ai/wiki/library/set_systems/frankl_1987_forbidden_intersections/theorem_1_13 https://erdosproblems.ai/wiki/library/set_systems/frankl_1987_forbidden_intersections/theorem_1_14 https://erdosproblems.ai/wiki/library/set_systems/frankl_1987_forbidden_intersections/theorem_1_15 https://erdosproblems.ai/wiki/library/set_systems/frankl_1987_forbidden_intersections/theorem_1_16 https://erdosproblems.ai/wiki/library/set_systems/frankl_1987_forbidden_intersections/theorem_1_4 https://erdosproblems.ai/wiki/library/set_systems/frankl_1987_forbidden_intersections/theorem_1_5 https://erdosproblems.ai/wiki/library/set_systems/frankl_1987_forbidden_intersections/theorem_1_7 https://erdosproblems.ai/wiki/library/set_systems/frankl_1987_forbidden_intersections/theorem_1_9 https://erdosproblems.ai/wiki/library/set_systems/frankl_1987_forbidden_intersections/theorem_2_1 https://erdosproblems.ai/wiki/library/set_systems/frankl_1987_forbidden_intersections/theorem_2_2 https://erdosproblems.ai/wiki/library/set_systems/frankl_1987_forbidden_intersections/theorem_3_1 https://erdosproblems.ai/wiki/library/set_systems/frankl_1987_forbidden_intersections/theorem_6_1 https://erdosproblems.ai/wiki/library/set_systems/frankl_1987_forbidden_intersections/theorem_9_1_scope https://erdosproblems.ai/wiki/library/set_systems/frankl_1987_forbidden_intersections/weighted_deletion_inequality https://erdosproblems.ai/wiki/library/set_systems/frankl_2012_matchings_hypergraphs https://erdosproblems.ai/wiki/library/set_systems/frankl_2012_matchings_hypergraphs/theorem_1 https://erdosproblems.ai/wiki/library/set_systems/frankl_2023_perfect_matchings_down_sets https://erdosproblems.ai/wiki/library/set_systems/frankl_2023_perfect_matchings_down_sets/theorem_10 https://erdosproblems.ai/wiki/library/set_systems/frankl_2023_perfect_matchings_down_sets/theorem_4 https://erdosproblems.ai/wiki/library/set_systems/frankl_2023_perfect_matchings_down_sets/theorem_5 https://erdosproblems.ai/wiki/library/set_systems/frankl_2023_perfect_matchings_down_sets/theorem_6 https://erdosproblems.ai/wiki/library/set_systems/frankl_2023_perfect_matchings_down_sets/theorem_7 https://erdosproblems.ai/wiki/library/set_systems/frankl_2023_perfect_matchings_down_sets/theorem_9 https://erdosproblems.ai/wiki/library/set_systems/frankston_2019_thresholds_versus_fractional_expectation_thresholds https://erdosproblems.ai/wiki/library/set_systems/frankston_2019_thresholds_versus_fractional_expectation_thresholds/corollary_1_8 https://erdosproblems.ai/wiki/library/set_systems/frankston_2019_thresholds_versus_fractional_expectation_thresholds/lemma_3_1 https://erdosproblems.ai/wiki/library/set_systems/frankston_2019_thresholds_versus_fractional_expectation_thresholds/theorem_1_1 https://erdosproblems.ai/wiki/library/set_systems/frankston_2019_thresholds_versus_fractional_expectation_thresholds/theorem_1_7 https://erdosproblems.ai/wiki/library/set_systems/furedi_1984_hypergraphs_which_all_disjoint_pairs_have https://erdosproblems.ai/wiki/library/set_systems/furedi_1984_hypergraphs_which_all_disjoint_pairs_have/conjecture_1_4 https://erdosproblems.ai/wiki/library/set_systems/furedi_1984_hypergraphs_which_all_disjoint_pairs_have/example_1_3 https://erdosproblems.ai/wiki/library/set_systems/furedi_1984_hypergraphs_which_all_disjoint_pairs_have/lemma_3_3 https://erdosproblems.ai/wiki/library/set_systems/furedi_1984_hypergraphs_which_all_disjoint_pairs_have/proposition_6_1 https://erdosproblems.ai/wiki/library/set_systems/furedi_1984_hypergraphs_which_all_disjoint_pairs_have/theorem_1_2 https://erdosproblems.ai/wiki/library/set_systems/furedi_gyarfas_kiraly_2023_one_cross_intersecting_set_pair_systems https://erdosproblems.ai/wiki/library/set_systems/furedi_gyarfas_kiraly_2023_one_cross_intersecting_set_pair_systems/corollary_1_2 https://erdosproblems.ai/wiki/library/set_systems/furedi_gyarfas_kiraly_2023_one_cross_intersecting_set_pair_systems/proposition_1_3 https://erdosproblems.ai/wiki/library/set_systems/furedi_gyarfas_kiraly_2023_one_cross_intersecting_set_pair_systems/proposition_1_5 https://erdosproblems.ai/wiki/library/set_systems/furedi_gyarfas_kiraly_2023_one_cross_intersecting_set_pair_systems/theorem_1_4 https://erdosproblems.ai/wiki/library/set_systems/furedi_gyarfas_kiraly_2023_one_cross_intersecting_set_pair_systems/theorem_1_6 https://erdosproblems.ai/wiki/library/set_systems/furedi_gyarfas_kiraly_2023_one_cross_intersecting_set_pair_systems/theorem_1_7 https://erdosproblems.ai/wiki/library/set_systems/furedi_gyarfas_kiraly_2023_one_cross_intersecting_set_pair_systems/theorem_1_8 https://erdosproblems.ai/wiki/library/set_systems/gao_2025_cliques_hypergraphs https://erdosproblems.ai/wiki/library/set_systems/ghorbani_et_al_2007_inclusion_matrices_chains https://erdosproblems.ai/wiki/library/set_systems/ghorbani_et_al_2007_inclusion_matrices_chains/corollary_3 https://erdosproblems.ai/wiki/library/set_systems/ghorbani_et_al_2007_inclusion_matrices_chains/corollary_4 https://erdosproblems.ai/wiki/library/set_systems/ghorbani_et_al_2007_inclusion_matrices_chains/theorem_1 https://erdosproblems.ai/wiki/library/set_systems/ghorbani_et_al_2007_inclusion_matrices_chains/theorem_2 https://erdosproblems.ai/wiki/library/set_systems/glock_2020_conjecture_erdos_locally_sparse_steiner_triple https://erdosproblems.ai/wiki/library/set_systems/glock_2020_conjecture_erdos_locally_sparse_steiner_triple/conjecture_1_1 https://erdosproblems.ai/wiki/library/set_systems/glock_2020_conjecture_erdos_locally_sparse_steiner_triple/conjecture_7_2 https://erdosproblems.ai/wiki/library/set_systems/glock_2020_conjecture_erdos_locally_sparse_steiner_triple/theorem_1_2 https://erdosproblems.ai/wiki/library/set_systems/glock_2020_conjecture_erdos_locally_sparse_steiner_triple/theorem_1_3 https://erdosproblems.ai/wiki/library/set_systems/glock_2020_conjecture_erdos_locally_sparse_steiner_triple/theorem_4_4 https://erdosproblems.ai/wiki/library/set_systems/glock_2020_conjecture_erdos_locally_sparse_steiner_triple/theorem_7_5 https://erdosproblems.ai/wiki/library/set_systems/gyarfas_lehel_tuza_1982_tau_critical_hypergraphs https://erdosproblems.ai/wiki/library/set_systems/gyarfas_lehel_tuza_1982_tau_critical_hypergraphs/corollary_3 https://erdosproblems.ai/wiki/library/set_systems/gyarfas_lehel_tuza_1982_tau_critical_hypergraphs/theorem_1 https://erdosproblems.ai/wiki/library/set_systems/gyarfas_lehel_tuza_1982_tau_critical_hypergraphs/theorem_2 https://erdosproblems.ai/wiki/library/set_systems/hall_1935_representatives_subsets https://erdosproblems.ai/wiki/library/set_systems/hall_1935_representatives_subsets/definitions https://erdosproblems.ai/wiki/library/set_systems/hall_1935_representatives_subsets/external_and_historical_inputs https://erdosproblems.ai/wiki/library/set_systems/hall_1935_representatives_subsets/konig_equal_blocks https://erdosproblems.ai/wiki/library/set_systems/hall_1935_representatives_subsets/lemma_p27 https://erdosproblems.ai/wiki/library/set_systems/hall_1935_representatives_subsets/theorem_1 https://erdosproblems.ai/wiki/library/set_systems/hall_1935_representatives_subsets/theorem_2 https://erdosproblems.ai/wiki/library/set_systems/hall_1935_representatives_subsets/theorem_3 https://erdosproblems.ai/wiki/library/set_systems/harris_2016_lopsidependency_moser_tardos https://erdosproblems.ai/wiki/library/set_systems/harris_2016_lopsidependency_moser_tardos/theorem_1_2 https://erdosproblems.ai/wiki/library/set_systems/harris_2016_lopsidependency_moser_tardos/theorem_1_3 https://erdosproblems.ai/wiki/library/set_systems/harris_2016_lopsidependency_moser_tardos/theorem_4_1 https://erdosproblems.ai/wiki/library/set_systems/harris_2016_lopsidependency_moser_tardos/theorem_4_5 https://erdosproblems.ai/wiki/library/set_systems/he_2026_erdos_trotter_problem_antichains_multiplicity_each https://erdosproblems.ai/wiki/library/set_systems/he_2026_erdos_trotter_problem_antichains_multiplicity_each/definition_1_3 https://erdosproblems.ai/wiki/library/set_systems/he_2026_erdos_trotter_problem_antichains_multiplicity_each/lemma_2_5 https://erdosproblems.ai/wiki/library/set_systems/he_2026_erdos_trotter_problem_antichains_multiplicity_each/theorem_1_4 https://erdosproblems.ai/wiki/library/set_systems/he_2026_erdos_trotter_problem_antichains_multiplicity_each/theorem_1_5 https://erdosproblems.ai/wiki/library/set_systems/he_2026_erdos_trotter_problem_antichains_multiplicity_each/theorem_a_2 https://erdosproblems.ai/wiki/library/set_systems/he_2026_erdos_trotter_problem_antichains_multiplicity_each/theorem_a_4 https://erdosproblems.ai/wiki/library/set_systems/he_li_liu_wang_xia_2017_variable_lovasz_local_lemma https://erdosproblems.ai/wiki/library/set_systems/he_li_liu_wang_xia_2017_variable_lovasz_local_lemma/theorem_3 https://erdosproblems.ai/wiki/library/set_systems/he_li_liu_wang_xia_2017_variable_lovasz_local_lemma/theorem_4 https://erdosproblems.ai/wiki/library/set_systems/he_li_liu_wang_xia_2017_variable_lovasz_local_lemma/theorem_5 https://erdosproblems.ai/wiki/library/set_systems/he_li_liu_wang_xia_2017_variable_lovasz_local_lemma/theorem_6 https://erdosproblems.ai/wiki/library/set_systems/he_li_liu_wang_xia_2017_variable_lovasz_local_lemma/theorem_7 https://erdosproblems.ai/wiki/library/set_systems/he_li_liu_wang_xia_2017_variable_lovasz_local_lemma/theorem_8 https://erdosproblems.ai/wiki/library/set_systems/he_li_liu_wang_xia_2017_variable_lovasz_local_lemma/theorem_9 https://erdosproblems.ai/wiki/library/set_systems/huang_2012_size_hypergraph_matching_number https://erdosproblems.ai/wiki/library/set_systems/huang_2012_size_hypergraph_matching_number/lemma_3_1 https://erdosproblems.ai/wiki/library/set_systems/huang_2012_size_hypergraph_matching_number/theorem_1_2 https://erdosproblems.ai/wiki/library/set_systems/huang_2012_size_hypergraph_matching_number/theorem_3_3 https://erdosproblems.ai/wiki/library/set_systems/johansson_2008_factors_random_graphs https://erdosproblems.ai/wiki/library/set_systems/johansson_2008_factors_random_graphs/corollary_2_6 https://erdosproblems.ai/wiki/library/set_systems/johansson_2008_factors_random_graphs/theorem_2_1 https://erdosproblems.ai/wiki/library/set_systems/johansson_2008_factors_random_graphs/theorem_2_2 https://erdosproblems.ai/wiki/library/set_systems/johansson_2008_factors_random_graphs/theorem_2_3 https://erdosproblems.ai/wiki/library/set_systems/johansson_2008_factors_random_graphs/theorem_2_5 https://erdosproblems.ai/wiki/library/set_systems/johansson_2008_factors_random_graphs/theorem_2_7 https://erdosproblems.ai/wiki/library/set_systems/kaced_romashchenko_vereshchagin_2017_conditional_information_inequality https://erdosproblems.ai/wiki/library/set_systems/kaced_romashchenko_vereshchagin_2017_conditional_information_inequality/corollary_1 https://erdosproblems.ai/wiki/library/set_systems/kaced_romashchenko_vereshchagin_2017_conditional_information_inequality/corollary_2 https://erdosproblems.ai/wiki/library/set_systems/kaced_romashchenko_vereshchagin_2017_conditional_information_inequality/theorem_1 https://erdosproblems.ai/wiki/library/set_systems/kaced_romashchenko_vereshchagin_2017_conditional_information_inequality/theorem_3 https://erdosproblems.ai/wiki/library/set_systems/kahn_1994_problem_erdos_lovasz_ii https://erdosproblems.ai/wiki/library/set_systems/kahn_1994_problem_erdos_lovasz_ii/corollary_5_4 https://erdosproblems.ai/wiki/library/set_systems/kahn_1994_problem_erdos_lovasz_ii/theorem_2_3 https://erdosproblems.ai/wiki/library/set_systems/kahn_1994_problem_erdos_lovasz_ii/theorem_p126 https://erdosproblems.ai/wiki/library/set_systems/kahn_2023_asymptotics_shamir_s_problem https://erdosproblems.ai/wiki/library/set_systems/kahn_2023_asymptotics_shamir_s_problem/theorem_1_2 https://erdosproblems.ai/wiki/library/set_systems/kahn_2023_asymptotics_shamir_s_problem/theorem_1_3 https://erdosproblems.ai/wiki/library/set_systems/kahn_2023_asymptotics_shamir_s_problem/theorem_1_5 https://erdosproblems.ai/wiki/library/set_systems/keevash_2014_existence_designs https://erdosproblems.ai/wiki/library/set_systems/keevash_2014_existence_designs/existence_conjecture_p2 https://erdosproblems.ai/wiki/library/set_systems/keevash_2014_existence_designs/theorem_1_10 https://erdosproblems.ai/wiki/library/set_systems/keevash_2014_existence_designs/theorem_1_4 https://erdosproblems.ai/wiki/library/set_systems/koishichan_2025_counterexample_erdos_1022 https://erdosproblems.ai/wiki/library/set_systems/koishichan_2025_counterexample_erdos_1022/counterexample https://erdosproblems.ai/wiki/library/set_systems/koishichan_2025_counterexample_erdos_1022/koishichan_2025_counterexample_erdos_1022 https://erdosproblems.ai/wiki/library/set_systems/kolupaev_2023_erdos_matching_conjecture_almost_perfect_matchings https://erdosproblems.ai/wiki/library/set_systems/kolupaev_2023_erdos_matching_conjecture_almost_perfect_matchings/theorem_1_2 https://erdosproblems.ai/wiki/library/set_systems/komorech_2025_non_jumping_densities_3_uniform_hypergraphs https://erdosproblems.ai/wiki/library/set_systems/komorech_2025_non_jumping_densities_3_uniform_hypergraphs/proposition_1_4 https://erdosproblems.ai/wiki/library/set_systems/komorech_2025_non_jumping_densities_3_uniform_hypergraphs/theorem_1_5 https://erdosproblems.ai/wiki/library/set_systems/komorech_2025_non_jumping_densities_3_uniform_hypergraphs/theorem_1_6 https://erdosproblems.ai/wiki/library/set_systems/komorech_2025_non_jumping_densities_3_uniform_hypergraphs/theorem_4_8 https://erdosproblems.ai/wiki/library/set_systems/koperberg_2022_couplings_matchings_strassen https://erdosproblems.ai/wiki/library/set_systems/koperberg_2022_couplings_matchings_strassen/lemma_3 https://erdosproblems.ai/wiki/library/set_systems/koperberg_2022_couplings_matchings_strassen/proposition_4 https://erdosproblems.ai/wiki/library/set_systems/koperberg_2022_couplings_matchings_strassen/proposition_6 https://erdosproblems.ai/wiki/library/set_systems/koperberg_2022_couplings_matchings_strassen/theorem_1 https://erdosproblems.ai/wiki/library/set_systems/koperberg_2022_couplings_matchings_strassen/theorem_2 https://erdosproblems.ai/wiki/library/set_systems/kostochka_1999_properties_descartes_construction_triangle_free_graphs https://erdosproblems.ai/wiki/library/set_systems/kostochka_1999_properties_descartes_construction_triangle_free_graphs/hypergraph_construction https://erdosproblems.ai/wiki/library/set_systems/kostochka_1999_properties_descartes_construction_triangle_free_graphs/property_7 https://erdosproblems.ai/wiki/library/set_systems/kostochka_1999_properties_descartes_construction_triangle_free_graphs/theorem_1 https://erdosproblems.ai/wiki/library/set_systems/kostochka_1999_systems_small_sets_no_large_subsystems https://erdosproblems.ai/wiki/library/set_systems/kostochka_1999_systems_small_sets_no_large_subsystems/theorem_1 https://erdosproblems.ai/wiki/library/set_systems/kostochka_1999_systems_small_sets_no_large_subsystems/theorem_2 https://erdosproblems.ai/wiki/library/set_systems/kullmann_2011_constraint_satisfaction_clausal_form https://erdosproblems.ai/wiki/library/set_systems/kullmann_2011_constraint_satisfaction_clausal_form/corollary_1_8_7 https://erdosproblems.ai/wiki/library/set_systems/kullmann_2011_constraint_satisfaction_clausal_form/corollary_1_9_9 https://erdosproblems.ai/wiki/library/set_systems/kullmann_2011_constraint_satisfaction_clausal_form/lemma_1_9_4 https://erdosproblems.ai/wiki/library/set_systems/kullmann_2011_constraint_satisfaction_clausal_form/theorem_1_10_3 https://erdosproblems.ai/wiki/library/set_systems/kullmann_2011_constraint_satisfaction_clausal_form/theorem_1_8_4 https://erdosproblems.ai/wiki/library/set_systems/kullmann_2011_constraint_satisfaction_clausal_form/theorem_2_3_5 https://erdosproblems.ai/wiki/library/set_systems/kullmann_2011_constraint_satisfaction_clausal_form/theorem_2_5_5 https://erdosproblems.ai/wiki/library/set_systems/kullmann_2011_constraint_satisfaction_clausal_form/theorem_2_6_4 https://erdosproblems.ai/wiki/library/set_systems/kunen_2013_impact_paul_erdos_set_theory https://erdosproblems.ai/wiki/library/set_systems/kunen_2013_impact_paul_erdos_set_theory/theorem_p348_erdos_tarski https://erdosproblems.ai/wiki/library/set_systems/kunen_2013_impact_paul_erdos_set_theory/theorem_p350_erdos_hajnal https://erdosproblems.ai/wiki/library/set_systems/kunen_2013_impact_paul_erdos_set_theory/theorem_p359_free_set_lemma https://erdosproblems.ai/wiki/library/set_systems/kunen_2013_impact_paul_erdos_set_theory/theorem_p359_nowhere_dense https://erdosproblems.ai/wiki/library/set_systems/kunen_2013_impact_paul_erdos_set_theory/theorem_p360_erdos_hajnal_mate https://erdosproblems.ai/wiki/library/set_systems/kwan_2022_high_girth_steiner_triple_systems https://erdosproblems.ai/wiki/library/set_systems/kwan_2022_high_girth_steiner_triple_systems/theorem_1_1 https://erdosproblems.ai/wiki/library/set_systems/kwan_2022_high_girth_steiner_triple_systems/theorem_1_3 https://erdosproblems.ai/wiki/library/set_systems/lam_1997_search_finite_projective_plane_order_10 https://erdosproblems.ai/wiki/library/set_systems/lam_1997_search_finite_projective_plane_order_10/main_theorem https://erdosproblems.ai/wiki/library/set_systems/lam_1997_search_finite_projective_plane_order_10/theorem_2 https://erdosproblems.ai/wiki/library/set_systems/lam_1997_search_finite_projective_plane_order_10/theorem_3 https://erdosproblems.ai/wiki/library/set_systems/lawler_martel_1980_polymatroidal_network_flows https://erdosproblems.ai/wiki/library/set_systems/lawler_martel_1980_polymatroidal_network_flows/theorem_11_5 https://erdosproblems.ai/wiki/library/set_systems/lawler_martel_1980_polymatroidal_network_flows/theorem_12_1 https://erdosproblems.ai/wiki/library/set_systems/lawler_martel_1980_polymatroidal_network_flows/theorem_12_2 https://erdosproblems.ai/wiki/library/set_systems/lawler_martel_1980_polymatroidal_network_flows/theorem_6_1 https://erdosproblems.ai/wiki/library/set_systems/lawler_martel_1980_polymatroidal_network_flows/theorem_7_1 https://erdosproblems.ai/wiki/library/set_systems/lawler_martel_1980_polymatroidal_network_flows/theorem_9_2 https://erdosproblems.ai/wiki/library/set_systems/li_2025_erdos_lovasz_problem_3_critical https://erdosproblems.ai/wiki/library/set_systems/li_2025_erdos_lovasz_problem_3_critical/corollary_3_4 https://erdosproblems.ai/wiki/library/set_systems/li_2025_erdos_lovasz_problem_3_critical/evidence https://erdosproblems.ai/wiki/library/set_systems/li_2025_erdos_lovasz_problem_3_critical/evidence/verify https://erdosproblems.ai/wiki/library/set_systems/li_2025_erdos_lovasz_problem_3_critical/evidence/verify/li_v1_proof_review https://erdosproblems.ai/wiki/library/set_systems/li_2025_erdos_lovasz_problem_3_critical/lemma_2_2 https://erdosproblems.ai/wiki/library/set_systems/li_2025_erdos_lovasz_problem_3_critical/lemma_3_1 https://erdosproblems.ai/wiki/library/set_systems/li_2025_erdos_lovasz_problem_3_critical/lemma_4_2 https://erdosproblems.ai/wiki/library/set_systems/li_2025_erdos_lovasz_problem_3_critical/lemma_4_3 https://erdosproblems.ai/wiki/library/set_systems/li_2025_erdos_lovasz_problem_3_critical/lemma_4_4 https://erdosproblems.ai/wiki/library/set_systems/li_2025_erdos_lovasz_problem_3_critical/proposition_3_5 https://erdosproblems.ai/wiki/library/set_systems/li_2025_erdos_lovasz_problem_3_critical/proposition_4_5 https://erdosproblems.ai/wiki/library/set_systems/li_2025_erdos_lovasz_problem_3_critical/proposition_4_6 https://erdosproblems.ai/wiki/library/set_systems/li_2025_erdos_lovasz_problem_3_critical/theorem_1_1 https://erdosproblems.ai/wiki/library/set_systems/li_2025_erdos_lovasz_problem_3_critical/theorem_1_2 https://erdosproblems.ai/wiki/library/set_systems/li_2025_erdos_lovasz_problem_3_critical/theorem_3_2 https://erdosproblems.ai/wiki/library/set_systems/li_2025_erdos_lovasz_problem_3_critical/theorem_4_1 https://erdosproblems.ai/wiki/library/set_systems/liu_2026_number_4_9_is_non_jump https://erdosproblems.ai/wiki/library/set_systems/lovasz_1968_graphs_set_systems https://erdosproblems.ai/wiki/library/set_systems/lovasz_1968_graphs_set_systems/theorem_2 https://erdosproblems.ai/wiki/library/set_systems/lovasz_1968_graphs_set_systems/theorem_3 https://erdosproblems.ai/wiki/library/set_systems/lovasz_1968_graphs_set_systems/theorem_4 https://erdosproblems.ai/wiki/library/set_systems/lovasz_1968_graphs_set_systems/theorem_5 https://erdosproblems.ai/wiki/library/set_systems/lovasz_1968_graphs_set_systems/theorem_6 https://erdosproblems.ai/wiki/library/set_systems/lovasz_1973_coverings_colorings_hypergraphs https://erdosproblems.ai/wiki/library/set_systems/lovasz_1973_coverings_colorings_hypergraphs/theorem_1 https://erdosproblems.ai/wiki/library/set_systems/lovasz_1973_coverings_colorings_hypergraphs/theorem_3 https://erdosproblems.ai/wiki/library/set_systems/lovasz_1973_coverings_colorings_hypergraphs/theorem_4 https://erdosproblems.ai/wiki/library/set_systems/lovasz_1973_coverings_colorings_hypergraphs/theorem_7 https://erdosproblems.ai/wiki/library/set_systems/lovasz_1973_coverings_colorings_hypergraphs/theorem_7_prime https://erdosproblems.ai/wiki/library/set_systems/lovasz_1973_coverings_colorings_hypergraphs/theorem_8 https://erdosproblems.ai/wiki/library/set_systems/lovitz_petrov_2021_generalization_kruskals_theorem_tensor_decomposition https://erdosproblems.ai/wiki/library/set_systems/luczak_2014_erdos_extremal_problem_matchings_hypergraphs https://erdosproblems.ai/wiki/library/set_systems/luczak_2014_erdos_extremal_problem_matchings_hypergraphs/lemma_2 https://erdosproblems.ai/wiki/library/set_systems/luczak_2014_erdos_extremal_problem_matchings_hypergraphs/theorem_1 https://erdosproblems.ai/wiki/library/set_systems/moser_tardos_2009_constructive_proof_general_lovasz_local_lemma https://erdosproblems.ai/wiki/library/set_systems/moser_tardos_2009_constructive_proof_general_lovasz_local_lemma/theorem_1_1 https://erdosproblems.ai/wiki/library/set_systems/moser_tardos_2009_constructive_proof_general_lovasz_local_lemma/theorem_1_2 https://erdosproblems.ai/wiki/library/set_systems/moser_tardos_2009_constructive_proof_general_lovasz_local_lemma/theorem_1_3 https://erdosproblems.ai/wiki/library/set_systems/moser_tardos_2009_constructive_proof_general_lovasz_local_lemma/theorem_1_4 https://erdosproblems.ai/wiki/library/set_systems/moser_tardos_2009_constructive_proof_general_lovasz_local_lemma/theorem_6_1 https://erdosproblems.ai/wiki/library/set_systems/nagy_pach_tomon_2026_hyperplane_covers_finite_spaces https://erdosproblems.ai/wiki/library/set_systems/nagy_pach_tomon_2026_hyperplane_covers_finite_spaces/proposition_1_3 https://erdosproblems.ai/wiki/library/set_systems/nagy_pach_tomon_2026_hyperplane_covers_finite_spaces/theorem_1_1 https://erdosproblems.ai/wiki/library/set_systems/nagy_pach_tomon_2026_hyperplane_covers_finite_spaces/theorem_1_10 https://erdosproblems.ai/wiki/library/set_systems/nagy_pach_tomon_2026_hyperplane_covers_finite_spaces/theorem_1_11 https://erdosproblems.ai/wiki/library/set_systems/nagy_pach_tomon_2026_hyperplane_covers_finite_spaces/theorem_1_2 https://erdosproblems.ai/wiki/library/set_systems/nagy_pach_tomon_2026_hyperplane_covers_finite_spaces/theorem_1_6 https://erdosproblems.ai/wiki/library/set_systems/nagy_pach_tomon_2026_hyperplane_covers_finite_spaces/theorem_1_7 https://erdosproblems.ai/wiki/library/set_systems/nagy_pach_tomon_2026_hyperplane_covers_finite_spaces/theorem_1_8 https://erdosproblems.ai/wiki/library/set_systems/nagy_pach_tomon_2026_hyperplane_covers_finite_spaces/theorem_8_1 https://erdosproblems.ai/wiki/library/set_systems/naslund_2017_upper_bounds_sunflower_free_sets https://erdosproblems.ai/wiki/library/set_systems/naslund_2017_upper_bounds_sunflower_free_sets/theorem_3 https://erdosproblems.ai/wiki/library/set_systems/naslund_2017_upper_bounds_sunflower_free_sets/theorem_5 https://erdosproblems.ai/wiki/library/set_systems/naslund_2017_upper_bounds_sunflower_free_sets/theorem_8 https://erdosproblems.ai/wiki/library/set_systems/pikhurko_2009_maximum_size_hypergraphs_without_generalized_4 https://erdosproblems.ai/wiki/library/set_systems/pikhurko_2009_maximum_size_hypergraphs_without_generalized_4/lemma_3 https://erdosproblems.ai/wiki/library/set_systems/pikhurko_2009_maximum_size_hypergraphs_without_generalized_4/theorem_1 https://erdosproblems.ai/wiki/library/set_systems/pikhurko_2009_maximum_size_hypergraphs_without_generalized_4/theorem_2 https://erdosproblems.ai/wiki/library/set_systems/pittman_2021_constructive_bollobas_varopoulos_theorem https://erdosproblems.ai/wiki/library/set_systems/pluhar_2009_greedy_colorings_uniform_hypergraphs https://erdosproblems.ai/wiki/library/set_systems/pluhar_2009_greedy_colorings_uniform_hypergraphs/claim_1 https://erdosproblems.ai/wiki/library/set_systems/pluhar_2009_greedy_colorings_uniform_hypergraphs/corollary_1 https://erdosproblems.ai/wiki/library/set_systems/pluhar_2009_greedy_colorings_uniform_hypergraphs/corollary_3 https://erdosproblems.ai/wiki/library/set_systems/pluhar_2009_greedy_colorings_uniform_hypergraphs/corollary_6 https://erdosproblems.ai/wiki/library/set_systems/pluhar_2009_greedy_colorings_uniform_hypergraphs/lemma_2 https://erdosproblems.ai/wiki/library/set_systems/pluhar_2009_greedy_colorings_uniform_hypergraphs/theorem_4 https://erdosproblems.ai/wiki/library/set_systems/rado_1949_axiomatic_treatment_rank_infinite_sets https://erdosproblems.ai/wiki/library/set_systems/rado_1949_axiomatic_treatment_rank_infinite_sets/augmentation https://erdosproblems.ai/wiki/library/set_systems/rado_1949_axiomatic_treatment_rank_infinite_sets/base_extension https://erdosproblems.ai/wiki/library/set_systems/rado_1949_axiomatic_treatment_rank_infinite_sets/countable_counterexample https://erdosproblems.ai/wiki/library/set_systems/rado_1949_axiomatic_treatment_rank_infinite_sets/definitions https://erdosproblems.ai/wiki/library/set_systems/rado_1949_axiomatic_treatment_rank_infinite_sets/equal_base_cardinality https://erdosproblems.ai/wiki/library/set_systems/rado_1949_axiomatic_treatment_rank_infinite_sets/external_inputs https://erdosproblems.ai/wiki/library/set_systems/rado_1949_axiomatic_treatment_rank_infinite_sets/finite_rank_facts https://erdosproblems.ai/wiki/library/set_systems/rado_1949_axiomatic_treatment_rank_infinite_sets/lemma_1 https://erdosproblems.ai/wiki/library/set_systems/rado_1949_axiomatic_treatment_rank_infinite_sets/lemma_2 https://erdosproblems.ai/wiki/library/set_systems/rado_1949_axiomatic_treatment_rank_infinite_sets/theorem https://erdosproblems.ai/wiki/library/set_systems/rao_2020_coding_sunflowers https://erdosproblems.ai/wiki/library/set_systems/rao_2020_coding_sunflowers/lemma_2 https://erdosproblems.ai/wiki/library/set_systems/rao_2020_coding_sunflowers/lemma_4 https://erdosproblems.ai/wiki/library/set_systems/rao_2020_coding_sunflowers/theorem_1 https://erdosproblems.ai/wiki/library/set_systems/solymosi_2017_small_cores_3_uniform_hypergraphs https://erdosproblems.ai/wiki/library/set_systems/solymosi_2017_small_cores_3_uniform_hypergraphs/conjecture_p5 https://erdosproblems.ai/wiki/library/set_systems/solymosi_2017_small_cores_3_uniform_hypergraphs/theorem_1_3 https://erdosproblems.ai/wiki/library/set_systems/solymosi_2017_small_cores_3_uniform_hypergraphs/theorem_2_1 https://erdosproblems.ai/wiki/library/set_systems/solymosi_2017_small_cores_3_uniform_hypergraphs/theorem_2_2 https://erdosproblems.ai/wiki/library/set_systems/solymosi_2017_small_cores_3_uniform_hypergraphs/theorem_3_4 https://erdosproblems.ai/wiki/library/set_systems/solymosi_2017_small_cores_3_uniform_hypergraphs/theorem_3_6 https://erdosproblems.ai/wiki/library/set_systems/solymosi_2017_small_cores_3_uniform_hypergraphs/theorem_4_1 https://erdosproblems.ai/wiki/library/set_systems/steele_1995_variations_monotone_subsequence_theme_erdos_szekeres https://erdosproblems.ai/wiki/library/set_systems/steele_1995_variations_monotone_subsequence_theme_erdos_szekeres/problem_p128 https://erdosproblems.ai/wiki/library/set_systems/steele_1995_variations_monotone_subsequence_theme_erdos_szekeres/theorem_8_1 https://erdosproblems.ai/wiki/library/set_systems/steele_1995_variations_monotone_subsequence_theme_erdos_szekeres/theorem_9_1 https://erdosproblems.ai/wiki/library/set_systems/tamir_1983_balanced_matrices_location_problems https://erdosproblems.ai/wiki/library/set_systems/tamir_1983_balanced_matrices_location_problems/corollary_1 https://erdosproblems.ai/wiki/library/set_systems/tamir_1983_balanced_matrices_location_problems/location_model https://erdosproblems.ai/wiki/library/set_systems/tamir_1983_balanced_matrices_location_problems/theorem_1 https://erdosproblems.ai/wiki/library/set_systems/tamir_1983_balanced_matrices_location_problems/theorem_2 https://erdosproblems.ai/wiki/library/set_systems/tidor_2016_1_color_avoiding_paths_special_tournaments https://erdosproblems.ai/wiki/library/set_systems/tidor_2016_1_color_avoiding_paths_special_tournaments/corollary_3_5 https://erdosproblems.ai/wiki/library/set_systems/tidor_2016_1_color_avoiding_paths_special_tournaments/theorem_1_47 https://erdosproblems.ai/wiki/library/set_systems/tidor_2016_1_color_avoiding_paths_special_tournaments/theorem_1_48 https://erdosproblems.ai/wiki/library/set_systems/tidor_2016_1_color_avoiding_paths_special_tournaments/theorem_3_2 https://erdosproblems.ai/wiki/library/set_systems/tidor_2016_1_color_avoiding_paths_special_tournaments/theorem_4_8 https://erdosproblems.ai/wiki/library/set_systems/tripathi_2014_note_uniform_intersecting_families_maximum_transversal https://erdosproblems.ai/wiki/library/set_systems/tripathi_2014_note_uniform_intersecting_families_maximum_transversal/corollary_2_2 https://erdosproblems.ai/wiki/library/set_systems/tripathi_2014_note_uniform_intersecting_families_maximum_transversal/lemma_1_1 https://erdosproblems.ai/wiki/library/set_systems/tripathi_2014_note_uniform_intersecting_families_maximum_transversal/lemma_1_4 https://erdosproblems.ai/wiki/library/set_systems/tripathi_2014_note_uniform_intersecting_families_maximum_transversal/theorem_2_1 https://erdosproblems.ai/wiki/library/set_systems/tripathi_2014_note_uniform_intersecting_families_maximum_transversal/theorem_2_4 https://erdosproblems.ai/wiki/library/set_systems/tuza_1985_critical_hypergraphs_intersecting_set_pair_systems https://erdosproblems.ai/wiki/library/set_systems/tuza_1985_critical_hypergraphs_intersecting_set_pair_systems/corollary_12 https://erdosproblems.ai/wiki/library/set_systems/tuza_1985_critical_hypergraphs_intersecting_set_pair_systems/lemma_4 https://erdosproblems.ai/wiki/library/set_systems/tuza_1985_critical_hypergraphs_intersecting_set_pair_systems/proposition_7 https://erdosproblems.ai/wiki/library/set_systems/tuza_1985_critical_hypergraphs_intersecting_set_pair_systems/theorem_10 https://erdosproblems.ai/wiki/library/set_systems/tuza_1985_critical_hypergraphs_intersecting_set_pair_systems/theorem_17 https://erdosproblems.ai/wiki/library/set_systems/tuza_1985_critical_hypergraphs_intersecting_set_pair_systems/theorem_19 https://erdosproblems.ai/wiki/library/set_systems/tuza_1985_critical_hypergraphs_intersecting_set_pair_systems/theorem_20 https://erdosproblems.ai/wiki/library/set_systems/tuza_1985_critical_hypergraphs_intersecting_set_pair_systems/theorem_5 https://erdosproblems.ai/wiki/library/set_systems/tuza_1985_critical_hypergraphs_intersecting_set_pair_systems/theorem_6 https://erdosproblems.ai/wiki/library/set_systems/van_wee_1991_covering_codes_perfect_codes_algebraic_curves https://erdosproblems.ai/wiki/library/set_systems/van_wee_1991_covering_codes_perfect_codes_algebraic_curves/chapter_1_conjecture_p50 https://erdosproblems.ai/wiki/library/set_systems/van_wee_1991_covering_codes_perfect_codes_algebraic_curves/chapter_1_corollary_1 https://erdosproblems.ai/wiki/library/set_systems/van_wee_1991_covering_codes_perfect_codes_algebraic_curves/chapter_1_theorem_10 https://erdosproblems.ai/wiki/library/set_systems/van_wee_1991_covering_codes_perfect_codes_algebraic_curves/chapter_1_theorem_12 https://erdosproblems.ai/wiki/library/set_systems/van_wee_1991_covering_codes_perfect_codes_algebraic_curves/chapter_1_theorem_9 https://erdosproblems.ai/wiki/library/set_systems/van_wee_1991_covering_codes_perfect_codes_algebraic_curves/chapter_2_corollary_1 https://erdosproblems.ai/wiki/library/set_systems/van_wee_1991_covering_codes_perfect_codes_algebraic_curves/chapter_2_theorem_4 https://erdosproblems.ai/wiki/library/set_systems/van_wee_1991_covering_codes_perfect_codes_algebraic_curves/chapter_2_theorem_5 https://erdosproblems.ai/wiki/library/set_systems/van_wee_1991_covering_codes_perfect_codes_algebraic_curves/chapter_2_theorem_6 https://erdosproblems.ai/wiki/library/set_systems/van_wee_1991_covering_codes_perfect_codes_algebraic_curves/chapter_3_corollary_2 https://erdosproblems.ai/wiki/library/set_systems/van_wee_1991_covering_codes_perfect_codes_algebraic_curves/chapter_3_theorem_1 https://erdosproblems.ai/wiki/library/set_systems/van_wee_1991_covering_codes_perfect_codes_algebraic_curves/chapter_4_corollary_1 https://erdosproblems.ai/wiki/library/set_systems/van_wee_1991_covering_codes_perfect_codes_algebraic_curves/chapter_4_theorem_1 https://erdosproblems.ai/wiki/library/set_systems/van_wee_1991_covering_codes_perfect_codes_algebraic_curves/chapter_4_theorem_2 https://erdosproblems.ai/wiki/library/set_systems/van_wee_1991_covering_codes_perfect_codes_algebraic_curves/chapter_4_theorem_4 https://erdosproblems.ai/wiki/library/set_systems/van_wee_1991_covering_codes_perfect_codes_algebraic_curves/chapter_5_theorem_11 https://erdosproblems.ai/wiki/library/set_systems/van_wee_1991_covering_codes_perfect_codes_algebraic_curves/chapter_5_theorem_14 https://erdosproblems.ai/wiki/library/set_systems/van_wee_1991_covering_codes_perfect_codes_algebraic_curves/chapter_5_theorem_16 https://erdosproblems.ai/wiki/library/set_systems/van_wee_1991_covering_codes_perfect_codes_algebraic_curves/chapter_5_theorem_17 https://erdosproblems.ai/wiki/library/set_systems/van_wee_1991_covering_codes_perfect_codes_algebraic_curves/chapter_5_theorem_6 https://erdosproblems.ai/wiki/library/set_systems/van_wee_1991_covering_codes_perfect_codes_algebraic_curves/chapter_6_theorem_5 https://erdosproblems.ai/wiki/library/set_systems/van_wee_1991_covering_codes_perfect_codes_algebraic_curves/chapter_6_theorem_9 https://erdosproblems.ai/wiki/library/set_systems/van_wee_1991_covering_codes_perfect_codes_algebraic_curves/chapter_7_theorem_2 https://erdosproblems.ai/wiki/library/set_systems/van_wee_1991_covering_codes_perfect_codes_algebraic_curves/chapter_7_theorem_3 https://erdosproblems.ai/wiki/library/set_systems/van_wee_1991_covering_codes_perfect_codes_algebraic_curves/chapter_7_theorem_4 https://erdosproblems.ai/wiki/library/set_systems/van_wee_1991_covering_codes_perfect_codes_algebraic_curves/chapter_8_theorem_2 https://erdosproblems.ai/wiki/library/set_systems/van_wee_1991_covering_codes_perfect_codes_algebraic_curves/chapter_8_theorem_6 https://erdosproblems.ai/wiki/library/set_systems/wagner_2017_large_subgraphs_rainbow_triangle_free_colorings https://erdosproblems.ai/wiki/library/set_systems/wagner_2017_large_subgraphs_rainbow_triangle_free_colorings/claim_3_5 https://erdosproblems.ai/wiki/library/set_systems/wagner_2017_large_subgraphs_rainbow_triangle_free_colorings/construction_2_2 https://erdosproblems.ai/wiki/library/set_systems/wagner_2017_large_subgraphs_rainbow_triangle_free_colorings/theorem_1_2 https://erdosproblems.ai/wiki/library/set_systems/wagner_2017_large_subgraphs_rainbow_triangle_free_colorings/theorem_1_4 https://erdosproblems.ai/wiki/library/set_systems/wagner_2017_large_subgraphs_rainbow_triangle_free_colorings/theorem_1_6 https://erdosproblems.ai/wiki/library/set_systems/wagner_2017_large_subgraphs_rainbow_triangle_free_colorings/theorem_3_1 https://erdosproblems.ai/wiki/library/set_systems/wdowinski_2025_bounded_degree_no_full_rainbow_matchings https://erdosproblems.ai/wiki/library/set_systems/wdowinski_2025_bounded_degree_no_full_rainbow_matchings/theorem_11 https://erdosproblems.ai/wiki/library/set_systems/wdowinski_2025_bounded_degree_no_full_rainbow_matchings/theorem_2 https://erdosproblems.ai/wiki/library/set_systems/wdowinski_2025_bounded_degree_no_full_rainbow_matchings/theorem_3 https://erdosproblems.ai/wiki/library/set_systems/wdowinski_2025_bounded_degree_no_full_rainbow_matchings/theorem_7 https://erdosproblems.ai/wiki/library/set_systems/welsh_1969_transversal_theory_matroids https://erdosproblems.ai/wiki/library/set_systems/welsh_1969_transversal_theory_matroids/definitions https://erdosproblems.ai/wiki/library/set_systems/welsh_1969_transversal_theory_matroids/external_inputs https://erdosproblems.ai/wiki/library/set_systems/welsh_1969_transversal_theory_matroids/perfect_corollary https://erdosproblems.ai/wiki/library/set_systems/welsh_1969_transversal_theory_matroids/source_corrections https://erdosproblems.ai/wiki/library/set_systems/welsh_1969_transversal_theory_matroids/theorem_10 https://erdosproblems.ai/wiki/library/set_systems/welsh_1969_transversal_theory_matroids/theorem_11 https://erdosproblems.ai/wiki/library/set_systems/welsh_1969_transversal_theory_matroids/theorem_12 https://erdosproblems.ai/wiki/library/set_systems/welsh_1969_transversal_theory_matroids/theorem_13 https://erdosproblems.ai/wiki/library/set_systems/welsh_1969_transversal_theory_matroids/theorem_13_containment https://erdosproblems.ai/wiki/library/set_systems/welsh_1969_transversal_theory_matroids/theorem_3 https://erdosproblems.ai/wiki/library/set_systems/welsh_1969_transversal_theory_matroids/theorem_4 https://erdosproblems.ai/wiki/library/set_systems/welsh_1969_transversal_theory_matroids/theorem_5 https://erdosproblems.ai/wiki/library/set_systems/welsh_1969_transversal_theory_matroids/theorem_6 https://erdosproblems.ai/wiki/library/set_systems/welsh_1969_transversal_theory_matroids/theorem_7 https://erdosproblems.ai/wiki/library/set_systems/welsh_1969_transversal_theory_matroids/theorem_8 https://erdosproblems.ai/wiki/library/set_systems/welsh_1969_transversal_theory_matroids/theorem_9 https://erdosproblems.ai/wiki/library/set_systems/welsh_1969_transversal_theory_matroids/theorem_9_contained https://erdosproblems.ai/wiki/library/set_systems/welsh_1969_transversal_theory_matroids/theorem_9_contains https://erdosproblems.ai/wiki/library/set_systems/welsh_1969_transversal_theory_matroids/transversal_augmentation https://erdosproblems.ai/wiki/library/set_systems/welsh_1969_transversal_theory_matroids/transversal_rank_formula https://erdosproblems.ai/wiki/library/set_systems/wilson_1974_number_mutually_orthogonal_latin_squares https://erdosproblems.ai/wiki/library/set_systems/wilson_1974_number_mutually_orthogonal_latin_squares/theorem_2_3 https://erdosproblems.ai/wiki/library/set_systems/wilson_1974_number_mutually_orthogonal_latin_squares/theorem_3_1 https://erdosproblems.ai/wiki/library/set_systems/wilson_1974_number_mutually_orthogonal_latin_squares/theorem_4_2 https://erdosproblems.ai/wiki/library/set_systems/wilson_1974_number_mutually_orthogonal_latin_squares/theorem_5_1 https://erdosproblems.ai/wiki/library/set_systems/wood_2013_hypergraph_colouring_degeneracy https://erdosproblems.ai/wiki/library/set_systems/wood_2013_hypergraph_colouring_degeneracy/lemma_4 https://erdosproblems.ai/wiki/library/set_systems/wood_2013_hypergraph_colouring_degeneracy/theorem_3 https://erdosproblems.ai/wiki/library/set_systems/yamamoto_1951_asymptotic_number_latin_rectangles https://erdosproblems.ai/wiki/library/set_systems/yamamoto_1951_asymptotic_number_latin_rectangles/theorem_1 https://erdosproblems.ai/wiki/library/set_systems/yamamoto_1951_asymptotic_number_latin_rectangles/theorem_2 https://erdosproblems.ai/wiki/library/set_theory https://erdosproblems.ai/wiki/library/set_theory/abraham_1985_consistency_partition_theorems_continuous_colorings_structure https://erdosproblems.ai/wiki/library/set_theory/abraham_1985_consistency_partition_theorems_continuous_colorings_structure/theorem_10_1 https://erdosproblems.ai/wiki/library/set_theory/abraham_1985_consistency_partition_theorems_continuous_colorings_structure/theorem_11_1 https://erdosproblems.ai/wiki/library/set_theory/abraham_1985_consistency_partition_theorems_continuous_colorings_structure/theorem_1_1 https://erdosproblems.ai/wiki/library/set_theory/abraham_1985_consistency_partition_theorems_continuous_colorings_structure/theorem_3_1 https://erdosproblems.ai/wiki/library/set_theory/abraham_1985_consistency_partition_theorems_continuous_colorings_structure/theorem_8_3 https://erdosproblems.ai/wiki/library/set_theory/abraham_1985_consistency_partition_theorems_continuous_colorings_structure/theorem_9_2 https://erdosproblems.ai/wiki/library/set_theory/aharoni_2009_menger_s_theorem_infinite_graphs https://erdosproblems.ai/wiki/library/set_theory/aharoni_2009_menger_s_theorem_infinite_graphs/theorem_1_6 https://erdosproblems.ai/wiki/library/set_theory/aharoni_2009_menger_s_theorem_infinite_graphs/theorem_5_4 https://erdosproblems.ai/wiki/library/set_theory/baumgartner_1987_remark_partition_relations_infinite_ordinals https://erdosproblems.ai/wiki/library/set_theory/baumgartner_1987_remark_partition_relations_infinite_ordinals/baumgartner_1987_remark_partition_relations_infinite_ordinals https://erdosproblems.ai/wiki/library/set_theory/baumgartner_1987_remark_partition_relations_infinite_ordinals/negative_relation https://erdosproblems.ai/wiki/library/set_theory/baumgartner_1987_remark_partition_relations_infinite_ordinals/positive_relation https://erdosproblems.ai/wiki/library/set_theory/baumgartner_1989_remarks_partition_ordinals https://erdosproblems.ai/wiki/library/set_theory/baumgartner_1989_remarks_partition_ordinals/baumgartner_1989_remarks_partition_ordinals https://erdosproblems.ai/wiki/library/set_theory/baumgartner_1989_remarks_partition_ordinals/main_theorem https://erdosproblems.ai/wiki/library/set_theory/bowler_2024_note_uncountably_chromatic_graphs https://erdosproblems.ai/wiki/library/set_theory/bowler_2024_note_uncountably_chromatic_graphs/remark_3 https://erdosproblems.ai/wiki/library/set_theory/bowler_2024_note_uncountably_chromatic_graphs/theorem_p1 https://erdosproblems.ai/wiki/library/set_theory/chang_1972_partition_theorem_complete_graph_omega_omega https://erdosproblems.ai/wiki/library/set_theory/chang_1972_partition_theorem_complete_graph_omega_omega/problems_p397 https://erdosproblems.ai/wiki/library/set_theory/chang_1972_partition_theorem_complete_graph_omega_omega/theorem_p396 https://erdosproblems.ai/wiki/library/set_theory/chen_2018_cardinal_characteristics_continuum_partitions https://erdosproblems.ai/wiki/library/set_theory/erdos_1943_non_denumerable_graphs https://erdosproblems.ai/wiki/library/set_theory/erdos_1943_non_denumerable_graphs/conjecture_p460 https://erdosproblems.ai/wiki/library/set_theory/erdos_1943_non_denumerable_graphs/theorem_1 https://erdosproblems.ai/wiki/library/set_theory/erdos_1943_non_denumerable_graphs/theorem_2 https://erdosproblems.ai/wiki/library/set_theory/erdos_1943_non_denumerable_graphs/theorem_p461 https://erdosproblems.ai/wiki/library/set_theory/erdos_1956_partition_calculus_set_theory https://erdosproblems.ai/wiki/library/set_theory/erdos_1958_structure_set_mappings https://erdosproblems.ai/wiki/library/set_theory/erdos_1958_structure_set_mappings/lemma_4 https://erdosproblems.ai/wiki/library/set_theory/erdos_1958_structure_set_mappings/problem_1 https://erdosproblems.ai/wiki/library/set_theory/erdos_1958_structure_set_mappings/theorem_1 https://erdosproblems.ai/wiki/library/set_theory/erdos_1958_structure_set_mappings/theorem_10 https://erdosproblems.ai/wiki/library/set_theory/erdos_1958_structure_set_mappings/theorem_12 https://erdosproblems.ai/wiki/library/set_theory/erdos_1958_structure_set_mappings/theorem_2 https://erdosproblems.ai/wiki/library/set_theory/erdos_1958_structure_set_mappings/theorem_3 https://erdosproblems.ai/wiki/library/set_theory/erdos_1958_structure_set_mappings/theorem_7 https://erdosproblems.ai/wiki/library/set_theory/erdos_1958_structure_set_mappings/theorem_9 https://erdosproblems.ai/wiki/library/set_theory/erdos_1960_remarks_set_theory https://erdosproblems.ai/wiki/library/set_theory/erdos_1964_interpolation_problem_associated_continuum_hypothesis https://erdosproblems.ai/wiki/library/set_theory/erdos_1964_interpolation_problem_associated_continuum_hypothesis/generalization_p10 https://erdosproblems.ai/wiki/library/set_theory/erdos_1964_interpolation_problem_associated_continuum_hypothesis/question_p10 https://erdosproblems.ai/wiki/library/set_theory/erdos_1964_interpolation_problem_associated_continuum_hypothesis/theorem_p9 https://erdosproblems.ai/wiki/library/set_theory/erdos_1966_chromatic_number_graphs_set_systems https://erdosproblems.ai/wiki/library/set_theory/erdos_1966_chromatic_number_graphs_set_systems/assertion_p73 https://erdosproblems.ai/wiki/library/set_theory/erdos_1966_chromatic_number_graphs_set_systems/assertion_p77 https://erdosproblems.ai/wiki/library/set_theory/erdos_1966_chromatic_number_graphs_set_systems/corollary_13_4 https://erdosproblems.ai/wiki/library/set_theory/erdos_1966_chromatic_number_graphs_set_systems/corollary_5_6 https://erdosproblems.ai/wiki/library/set_theory/erdos_1966_chromatic_number_graphs_set_systems/problem_7_6 https://erdosproblems.ai/wiki/library/set_theory/erdos_1966_chromatic_number_graphs_set_systems/problem_7_8 https://erdosproblems.ai/wiki/library/set_theory/erdos_1966_chromatic_number_graphs_set_systems/theorem_13_3 https://erdosproblems.ai/wiki/library/set_theory/erdos_1966_chromatic_number_graphs_set_systems/theorem_3_1 https://erdosproblems.ai/wiki/library/set_theory/erdos_1966_chromatic_number_graphs_set_systems/theorem_5_11 https://erdosproblems.ai/wiki/library/set_theory/erdos_1966_chromatic_number_graphs_set_systems/theorem_5_5 https://erdosproblems.ai/wiki/library/set_theory/erdos_1966_chromatic_number_graphs_set_systems/theorem_5_9 https://erdosproblems.ai/wiki/library/set_theory/erdos_1966_chromatic_number_graphs_set_systems/theorem_7_4 https://erdosproblems.ai/wiki/library/set_theory/erdos_1966_chromatic_number_graphs_set_systems/theorem_7_5 https://erdosproblems.ai/wiki/library/set_theory/erdos_1966_chromatic_number_graphs_set_systems/theorem_7_7 https://erdosproblems.ai/wiki/library/set_theory/erdos_1966_chromatic_number_graphs_set_systems/theorem_9_1 https://erdosproblems.ai/wiki/library/set_theory/erdos_1966_chromatic_number_graphs_set_systems/theorem_9_2 https://erdosproblems.ai/wiki/library/set_theory/erdos_1967_decomposition_graphs https://erdosproblems.ai/wiki/library/set_theory/erdos_1967_decomposition_graphs/definitions https://erdosproblems.ai/wiki/library/set_theory/erdos_1967_decomposition_graphs/item_2_7 https://erdosproblems.ai/wiki/library/set_theory/erdos_1967_decomposition_graphs/section_5_display_1 https://erdosproblems.ai/wiki/library/set_theory/erdos_1967_decomposition_graphs/theorem_1 https://erdosproblems.ai/wiki/library/set_theory/erdos_1967_decomposition_graphs/theorem_10 https://erdosproblems.ai/wiki/library/set_theory/erdos_1967_decomposition_graphs/theorem_11 https://erdosproblems.ai/wiki/library/set_theory/erdos_1967_decomposition_graphs/theorem_2 https://erdosproblems.ai/wiki/library/set_theory/erdos_1967_decomposition_graphs/theorem_3 https://erdosproblems.ai/wiki/library/set_theory/erdos_1967_decomposition_graphs/theorem_4 https://erdosproblems.ai/wiki/library/set_theory/erdos_1967_decomposition_graphs/theorem_5 https://erdosproblems.ai/wiki/library/set_theory/erdos_1967_decomposition_graphs/theorem_6 https://erdosproblems.ai/wiki/library/set_theory/erdos_1967_decomposition_graphs/theorem_7 https://erdosproblems.ai/wiki/library/set_theory/erdos_1967_decomposition_graphs/theorem_8 https://erdosproblems.ai/wiki/library/set_theory/erdos_1967_decomposition_graphs/theorem_9 https://erdosproblems.ai/wiki/library/set_theory/erdos_1970_set_mappings_polarized_partition_relations https://erdosproblems.ai/wiki/library/set_theory/erdos_1970_set_mappings_polarized_partition_relations/lemma_1 https://erdosproblems.ai/wiki/library/set_theory/erdos_1970_set_mappings_polarized_partition_relations/theorem_1 https://erdosproblems.ai/wiki/library/set_theory/erdos_1970_set_mappings_polarized_partition_relations/theorem_2 https://erdosproblems.ai/wiki/library/set_theory/erdos_1970_set_mappings_polarized_partition_relations/theorem_3 https://erdosproblems.ai/wiki/library/set_theory/erdos_1970_set_mappings_polarized_partition_relations/theorem_4 https://erdosproblems.ai/wiki/library/set_theory/erdos_1970_set_mappings_polarized_partition_relations/theorem_5 https://erdosproblems.ai/wiki/library/set_theory/erdos_1970_set_mappings_polarized_partition_relations/theorem_6 https://erdosproblems.ai/wiki/library/set_theory/erdos_1970_set_mappings_polarized_partition_relations/theorem_7 https://erdosproblems.ai/wiki/library/set_theory/erdos_1974_unsolved_solved_problems_set_theory https://erdosproblems.ai/wiki/library/set_theory/erdos_1974_unsolved_solved_problems_set_theory/problem_35 https://erdosproblems.ai/wiki/library/set_theory/erdos_1974_unsolved_solved_problems_set_theory/problem_38 https://erdosproblems.ai/wiki/library/set_theory/erdos_1974_unsolved_solved_problems_set_theory/problem_viii https://erdosproblems.ai/wiki/library/set_theory/erdos_1974_unsolved_solved_problems_set_theory/question_p270 https://erdosproblems.ai/wiki/library/set_theory/erdos_1974_unsolved_solved_problems_set_theory/question_p272 https://erdosproblems.ai/wiki/library/set_theory/erdos_1974_unsolved_solved_problems_set_theory/theorem_p270_chang https://erdosproblems.ai/wiki/library/set_theory/erdos_1974_unsolved_solved_problems_set_theory/theorem_p271_baumgartner_hajnal https://erdosproblems.ai/wiki/library/set_theory/erdos_1974_unsolved_solved_problems_set_theory/theorem_p273_hajnal https://erdosproblems.ai/wiki/library/set_theory/erdos_1974_unsolved_solved_problems_set_theory/theorem_p278_shelah https://erdosproblems.ai/wiki/library/set_theory/erdos_1974_unsolved_solved_problems_set_theory/theorem_p284 https://erdosproblems.ai/wiki/library/set_theory/erdos_1975_set_systems_having_large_chromatic_number https://erdosproblems.ai/wiki/library/set_theory/erdos_1975_set_systems_having_large_chromatic_number/corollary_10_7 https://erdosproblems.ai/wiki/library/set_theory/erdos_1975_set_systems_having_large_chromatic_number/corollary_11_14 https://erdosproblems.ai/wiki/library/set_theory/erdos_1975_set_systems_having_large_chromatic_number/problem_10 https://erdosproblems.ai/wiki/library/set_theory/erdos_1975_set_systems_having_large_chromatic_number/problem_3 https://erdosproblems.ai/wiki/library/set_theory/erdos_1975_set_systems_having_large_chromatic_number/problem_9 https://erdosproblems.ai/wiki/library/set_theory/erdos_1975_set_systems_having_large_chromatic_number/theorem_14_4 https://erdosproblems.ai/wiki/library/set_theory/erdos_1975_set_systems_having_large_chromatic_number/theorem_14_6 https://erdosproblems.ai/wiki/library/set_theory/erdos_1975_set_systems_having_large_chromatic_number/theorem_2_1 https://erdosproblems.ai/wiki/library/set_theory/erdos_1975_set_systems_having_large_chromatic_number/theorem_3_8 https://erdosproblems.ai/wiki/library/set_theory/erdos_1975_set_systems_having_large_chromatic_number/theorem_b https://erdosproblems.ai/wiki/library/set_theory/erdos_1987_problems_finite_infinite_graphs https://erdosproblems.ai/wiki/library/set_theory/erdos_1987_problems_finite_infinite_graphs/problem_1 https://erdosproblems.ai/wiki/library/set_theory/erdos_1987_problems_finite_infinite_graphs/problem_10 https://erdosproblems.ai/wiki/library/set_theory/erdos_1987_problems_finite_infinite_graphs/problem_11 https://erdosproblems.ai/wiki/library/set_theory/erdos_1987_problems_finite_infinite_graphs/problem_12 https://erdosproblems.ai/wiki/library/set_theory/erdos_1987_problems_finite_infinite_graphs/problem_2 https://erdosproblems.ai/wiki/library/set_theory/erdos_1987_problems_finite_infinite_graphs/problem_3 https://erdosproblems.ai/wiki/library/set_theory/erdos_1987_problems_finite_infinite_graphs/problem_4 https://erdosproblems.ai/wiki/library/set_theory/erdos_1987_problems_finite_infinite_graphs/problem_5 https://erdosproblems.ai/wiki/library/set_theory/erdos_1987_problems_finite_infinite_graphs/problem_6 https://erdosproblems.ai/wiki/library/set_theory/erdos_1987_problems_finite_infinite_graphs/problem_7 https://erdosproblems.ai/wiki/library/set_theory/erdos_1987_problems_finite_infinite_graphs/problem_8 https://erdosproblems.ai/wiki/library/set_theory/erdos_1987_problems_finite_infinite_graphs/problem_9 https://erdosproblems.ai/wiki/library/set_theory/folkman_1970_graphs_monochromatic_complete_subgraphs_every_edge https://erdosproblems.ai/wiki/library/set_theory/folkman_1970_graphs_monochromatic_complete_subgraphs_every_edge/conjecture_p23 https://erdosproblems.ai/wiki/library/set_theory/folkman_1970_graphs_monochromatic_complete_subgraphs_every_edge/theorem_1 https://erdosproblems.ai/wiki/library/set_theory/folkman_1970_graphs_monochromatic_complete_subgraphs_every_edge/theorem_2 https://erdosproblems.ai/wiki/library/set_theory/galvin_nd_pinning_countable_ordinals https://erdosproblems.ai/wiki/library/set_theory/gao_2026_finite_color_partition_relation_omega_1_squared https://erdosproblems.ai/wiki/library/set_theory/gao_2026_finite_color_partition_relation_omega_1_squared/lemma_2_1 https://erdosproblems.ai/wiki/library/set_theory/gao_2026_finite_color_partition_relation_omega_1_squared/theorem_3_1 https://erdosproblems.ai/wiki/library/set_theory/garti_2019_first_omitting_cardinal_magidority https://erdosproblems.ai/wiki/library/set_theory/garti_2019_first_omitting_cardinal_magidority/claim_1_10 https://erdosproblems.ai/wiki/library/set_theory/garti_2019_first_omitting_cardinal_magidority/theorem_1_12 https://erdosproblems.ai/wiki/library/set_theory/garti_2019_first_omitting_cardinal_magidority/theorem_1_2 https://erdosproblems.ai/wiki/library/set_theory/garti_2019_first_omitting_cardinal_magidority/theorem_1_4 https://erdosproblems.ai/wiki/library/set_theory/garti_2019_first_omitting_cardinal_magidority/theorem_2_7 https://erdosproblems.ai/wiki/library/set_theory/garti_2025_problem_erdos_hajnal https://erdosproblems.ai/wiki/library/set_theory/glazer_2026_erdos_problem_501_after_adding_random_reals https://erdosproblems.ai/wiki/library/set_theory/koepke_1984_consistency_strength_free_subset_property_omega https://erdosproblems.ai/wiki/library/set_theory/koepke_1984_consistency_strength_free_subset_property_omega/theorem_2_2 https://erdosproblems.ai/wiki/library/set_theory/koepke_1984_consistency_strength_free_subset_property_omega/theorem_4_4 https://erdosproblems.ai/wiki/library/set_theory/komjath_1988_forcing_constructions_uncountably_chromatic_graphs https://erdosproblems.ai/wiki/library/set_theory/komjath_1988_forcing_constructions_uncountably_chromatic_graphs/theorem_1 https://erdosproblems.ai/wiki/library/set_theory/komjath_1988_forcing_constructions_uncountably_chromatic_graphs/theorem_10 https://erdosproblems.ai/wiki/library/set_theory/komjath_1988_forcing_constructions_uncountably_chromatic_graphs/theorem_2 https://erdosproblems.ai/wiki/library/set_theory/komjath_1988_forcing_constructions_uncountably_chromatic_graphs/theorem_3 https://erdosproblems.ai/wiki/library/set_theory/komjath_1988_forcing_constructions_uncountably_chromatic_graphs/theorem_4 https://erdosproblems.ai/wiki/library/set_theory/komjath_1988_forcing_constructions_uncountably_chromatic_graphs/theorem_5 https://erdosproblems.ai/wiki/library/set_theory/komjath_1988_forcing_constructions_uncountably_chromatic_graphs/theorem_6 https://erdosproblems.ai/wiki/library/set_theory/komjath_1988_forcing_constructions_uncountably_chromatic_graphs/theorem_7 https://erdosproblems.ai/wiki/library/set_theory/komjath_1988_forcing_constructions_uncountably_chromatic_graphs/theorem_8 https://erdosproblems.ai/wiki/library/set_theory/komjath_1988_forcing_constructions_uncountably_chromatic_graphs/theorem_9 https://erdosproblems.ai/wiki/library/set_theory/komjath_2002_finite_subgraphs_uncountably_chromatic_graphs https://erdosproblems.ai/wiki/library/set_theory/komjath_2002_finite_subgraphs_uncountably_chromatic_graphs/theorem_1 https://erdosproblems.ai/wiki/library/set_theory/komjath_2002_finite_subgraphs_uncountably_chromatic_graphs/theorem_2 https://erdosproblems.ai/wiki/library/set_theory/komjath_2002_finite_subgraphs_uncountably_chromatic_graphs/theorem_3 https://erdosproblems.ai/wiki/library/set_theory/komjath_2002_finite_subgraphs_uncountably_chromatic_graphs/theorem_4 https://erdosproblems.ai/wiki/library/set_theory/komjath_2025_erdos_hajnal_problem_list https://erdosproblems.ai/wiki/library/set_theory/kumar_2017_question_about_families_entire_functions https://erdosproblems.ai/wiki/library/set_theory/kumar_2017_question_about_families_entire_functions/theorem_2_1 https://erdosproblems.ai/wiki/library/set_theory/kumar_2017_question_about_families_entire_functions/theorem_3_1 https://erdosproblems.ai/wiki/library/set_theory/lee_2026_erdos_problem_623_free_subset_property https://erdosproblems.ai/wiki/library/set_theory/lee_2026_erdos_problem_623_free_subset_property/corollary_5_1 https://erdosproblems.ai/wiki/library/set_theory/lee_2026_erdos_problem_623_free_subset_property/proposition_2_2 https://erdosproblems.ai/wiki/library/set_theory/lee_2026_erdos_problem_623_free_subset_property/proposition_3_1 https://erdosproblems.ai/wiki/library/set_theory/lee_2026_erdos_problem_623_free_subset_property/proposition_4_3 https://erdosproblems.ai/wiki/library/set_theory/lee_2026_erdos_problem_623_free_subset_property/theorem_1_1 https://erdosproblems.ai/wiki/library/set_theory/lee_2026_relative_independence_erdos_problem_501 https://erdosproblems.ai/wiki/library/set_theory/li_2026_resolution_erdos_problems_593_1177_obligatory https://erdosproblems.ai/wiki/library/set_theory/li_2026_resolution_erdos_problems_593_1177_obligatory/corollary_1_3 https://erdosproblems.ai/wiki/library/set_theory/li_2026_resolution_erdos_problems_593_1177_obligatory/corollary_1_4 https://erdosproblems.ai/wiki/library/set_theory/li_2026_resolution_erdos_problems_593_1177_obligatory/theorem_1_1 https://erdosproblems.ai/wiki/library/set_theory/li_2026_resolution_erdos_problems_593_1177_obligatory/theorem_1_2 https://erdosproblems.ai/wiki/library/set_theory/newelski_1987_infinite_free_set_small_measure_set_mappings https://erdosproblems.ai/wiki/library/set_theory/schilhan_2024_wetzel_families_continuum https://erdosproblems.ai/wiki/library/set_theory/schilhan_2024_wetzel_families_continuum/corollary_4_5 https://erdosproblems.ai/wiki/library/set_theory/schilhan_2024_wetzel_families_continuum/lemma_3_2 https://erdosproblems.ai/wiki/library/set_theory/schilhan_2024_wetzel_families_continuum/proposition_3_7 https://erdosproblems.ai/wiki/library/set_theory/schilhan_2024_wetzel_families_continuum/theorem_5_14 https://erdosproblems.ai/wiki/library/set_theory/schilhan_2024_wetzel_families_continuum/theorem_6_5 https://erdosproblems.ai/wiki/library/set_theory/schilhan_2024_wetzel_families_continuum/theorem_7_1 https://erdosproblems.ai/wiki/library/set_theory/schipperus_2010_countable_partition_ordinals https://erdosproblems.ai/wiki/library/set_theory/schipperus_2010_countable_partition_ordinals/theorem_28 https://erdosproblems.ai/wiki/library/set_theory/schipperus_2010_countable_partition_ordinals/theorem_29 https://erdosproblems.ai/wiki/library/set_theory/shelah_1975_notes_partition_calculus https://erdosproblems.ai/wiki/library/set_theory/shelah_1975_notes_partition_calculus/conjecture_1a https://erdosproblems.ai/wiki/library/set_theory/shelah_1975_notes_partition_calculus/corollary_1_3 https://erdosproblems.ai/wiki/library/set_theory/shelah_1975_notes_partition_calculus/theorem_1_2 https://erdosproblems.ai/wiki/library/set_theory/shelah_1988_was_sierpinski_right_i https://erdosproblems.ai/wiki/library/set_theory/shelah_1988_was_sierpinski_right_i/conclusion_3_5 https://erdosproblems.ai/wiki/library/set_theory/shelah_1988_was_sierpinski_right_i/theorem_1_1 https://erdosproblems.ai/wiki/library/set_theory/shelah_1988_was_sierpinski_right_i/theorem_2_1 https://erdosproblems.ai/wiki/library/set_theory/shelah_1988_was_sierpinski_right_i/theorem_2_8 https://erdosproblems.ai/wiki/library/set_theory/shelah_1988_was_sierpinski_right_i/theorem_3_1 https://erdosproblems.ai/wiki/library/set_theory/shelah_1989_consistency_positive_partition_theorems_graphs_models https://erdosproblems.ai/wiki/library/set_theory/shelah_1989_consistency_positive_partition_theorems_graphs_models/conclusion_1_6 https://erdosproblems.ai/wiki/library/set_theory/shelah_1989_consistency_positive_partition_theorems_graphs_models/conclusion_4_2 https://erdosproblems.ai/wiki/library/set_theory/shelah_1989_consistency_positive_partition_theorems_graphs_models/lemma_5_1 https://erdosproblems.ai/wiki/library/set_theory/soukup_2015_open_problems_around_uncountable_graphs https://erdosproblems.ai/wiki/library/set_theory/soukup_2015_open_problems_around_uncountable_graphs/conjecture_1_1 https://erdosproblems.ai/wiki/library/set_theory/soukup_2015_open_problems_around_uncountable_graphs/conjecture_2_1 https://erdosproblems.ai/wiki/library/set_theory/soukup_2015_open_problems_around_uncountable_graphs/conjecture_3_1 https://erdosproblems.ai/wiki/library/set_theory/soukup_2015_open_problems_around_uncountable_graphs/conjecture_6_1 https://erdosproblems.ai/wiki/library/set_theory/soukup_2015_open_problems_around_uncountable_graphs/problem_4_1 https://erdosproblems.ai/wiki/library/set_theory/soukup_2015_trees_ladders_graphs https://erdosproblems.ai/wiki/library/set_theory/soukup_2015_trees_ladders_graphs/problem_6_4 https://erdosproblems.ai/wiki/library/set_theory/soukup_2015_trees_ladders_graphs/theorem_3_5 https://erdosproblems.ai/wiki/library/set_theory/soukup_2015_trees_ladders_graphs/theorem_4_3 https://erdosproblems.ai/wiki/library/set_theory/soukup_2015_trees_ladders_graphs/theorem_5_5 https://erdosproblems.ai/wiki/library/unit_fractions https://erdosproblems.ai/wiki/library/unit_fractions/alekseyev_2019_partitions_into_squares_distinct_integers_whose https://erdosproblems.ai/wiki/library/unit_fractions/alekseyev_2019_partitions_into_squares_distinct_integers_whose/lemma_2 https://erdosproblems.ai/wiki/library/unit_fractions/alekseyev_2019_partitions_into_squares_distinct_integers_whose/theorem_1 https://erdosproblems.ai/wiki/library/unit_fractions/alekseyev_2019_partitions_into_squares_distinct_integers_whose/theorem_6 https://erdosproblems.ai/wiki/library/unit_fractions/alekseyev_2019_partitions_into_squares_distinct_integers_whose/theorem_7 https://erdosproblems.ai/wiki/library/unit_fractions/bettin_2025_lower_bound_number_egyptian_fractions https://erdosproblems.ai/wiki/library/unit_fractions/bettin_2025_lower_bound_number_egyptian_fractions/theorem_1 https://erdosproblems.ai/wiki/library/unit_fractions/bleicher_1975_number_distinct_subsums_sum_n_1 https://erdosproblems.ai/wiki/library/unit_fractions/bleicher_1975_number_distinct_subsums_sum_n_1/corollary_3 https://erdosproblems.ai/wiki/library/unit_fractions/bleicher_1975_number_distinct_subsums_sum_n_1/theorem_p30 https://erdosproblems.ai/wiki/library/unit_fractions/bleicher_1975_number_distinct_subsums_sum_n_1/theorem_p39 https://erdosproblems.ai/wiki/library/unit_fractions/bleicher_1976_denominators_egyptian_fractions https://erdosproblems.ai/wiki/library/unit_fractions/bleicher_1976_denominators_egyptian_fractions/conjecture_3 https://erdosproblems.ai/wiki/library/unit_fractions/bleicher_1976_denominators_egyptian_fractions/conjecture_4 https://erdosproblems.ai/wiki/library/unit_fractions/bleicher_1976_denominators_egyptian_fractions/theorem_1 https://erdosproblems.ai/wiki/library/unit_fractions/bleicher_1976_denominators_egyptian_fractions/theorem_2 https://erdosproblems.ai/wiki/library/unit_fractions/bleicher_1976_denominators_egyptian_fractions_ii https://erdosproblems.ai/wiki/library/unit_fractions/bleicher_1976_denominators_egyptian_fractions_ii/theorem_2 https://erdosproblems.ai/wiki/library/unit_fractions/bleicher_1976_denominators_egyptian_fractions_ii/theorem_3 https://erdosproblems.ai/wiki/library/unit_fractions/bloom_2021_density_conjecture_about_unit_fractions https://erdosproblems.ai/wiki/library/unit_fractions/bloom_2021_density_conjecture_about_unit_fractions/bounded_gaps https://erdosproblems.ai/wiki/library/unit_fractions/bloom_2021_density_conjecture_about_unit_fractions/corollary_1 https://erdosproblems.ai/wiki/library/unit_fractions/bloom_2021_density_conjecture_about_unit_fractions/lemma_1 https://erdosproblems.ai/wiki/library/unit_fractions/bloom_2021_density_conjecture_about_unit_fractions/lemma_2 https://erdosproblems.ai/wiki/library/unit_fractions/bloom_2021_density_conjecture_about_unit_fractions/lemma_3 https://erdosproblems.ai/wiki/library/unit_fractions/bloom_2021_density_conjecture_about_unit_fractions/lemma_4 https://erdosproblems.ai/wiki/library/unit_fractions/bloom_2021_density_conjecture_about_unit_fractions/lemma_5 https://erdosproblems.ai/wiki/library/unit_fractions/bloom_2021_density_conjecture_about_unit_fractions/lemma_6 https://erdosproblems.ai/wiki/library/unit_fractions/bloom_2021_density_conjecture_about_unit_fractions/lemma_7 https://erdosproblems.ai/wiki/library/unit_fractions/bloom_2021_density_conjecture_about_unit_fractions/proposition_1 https://erdosproblems.ai/wiki/library/unit_fractions/bloom_2021_density_conjecture_about_unit_fractions/proposition_2 https://erdosproblems.ai/wiki/library/unit_fractions/bloom_2021_density_conjecture_about_unit_fractions/proposition_3 https://erdosproblems.ai/wiki/library/unit_fractions/bloom_2021_density_conjecture_about_unit_fractions/theorem_2 https://erdosproblems.ai/wiki/library/unit_fractions/bloom_2021_density_conjecture_about_unit_fractions/theorem_3 https://erdosproblems.ai/wiki/library/unit_fractions/bloom_2021_density_conjecture_about_unit_fractions/theorem_4 https://erdosproblems.ai/wiki/library/unit_fractions/bloom_2022_egyptian_fractions https://erdosproblems.ai/wiki/library/unit_fractions/bloom_2022_egyptian_fractions/theorem_1 https://erdosproblems.ai/wiki/library/unit_fractions/bloom_2022_egyptian_fractions/theorem_3 https://erdosproblems.ai/wiki/library/unit_fractions/breteche_tenenbaum_2024_mean_values_arithmetic_functions_application_sums_powers https://erdosproblems.ai/wiki/library/unit_fractions/breteche_tenenbaum_2024_mean_values_arithmetic_functions_application_sums_powers/theorem_1_1 https://erdosproblems.ai/wiki/library/unit_fractions/breteche_tenenbaum_2024_mean_values_arithmetic_functions_application_sums_powers/theorem_3_1 https://erdosproblems.ai/wiki/library/unit_fractions/bright_2020_brauer_manin_obstruction_erdos_straus https://erdosproblems.ai/wiki/library/unit_fractions/bright_2020_brauer_manin_obstruction_erdos_straus/corollary_1_3 https://erdosproblems.ai/wiki/library/unit_fractions/bright_2020_brauer_manin_obstruction_erdos_straus/corollary_1_4 https://erdosproblems.ai/wiki/library/unit_fractions/bright_2020_brauer_manin_obstruction_erdos_straus/theorem_1_1 https://erdosproblems.ai/wiki/library/unit_fractions/bright_2020_brauer_manin_obstruction_erdos_straus/theorem_1_2 https://erdosproblems.ai/wiki/library/unit_fractions/bright_2020_brauer_manin_obstruction_erdos_straus/theorem_1_5 https://erdosproblems.ai/wiki/library/unit_fractions/bright_2020_brauer_manin_obstruction_erdos_straus/theorem_1_6 https://erdosproblems.ai/wiki/library/unit_fractions/bright_2020_brauer_manin_obstruction_erdos_straus/theorem_1_7 https://erdosproblems.ai/wiki/library/unit_fractions/bright_2020_brauer_manin_obstruction_erdos_straus/theorem_1_8 https://erdosproblems.ai/wiki/library/unit_fractions/bright_2020_brauer_manin_obstruction_erdos_straus/theorem_1_9 https://erdosproblems.ai/wiki/library/unit_fractions/brown_1991_monochromatic_solutions_equations_unit_fractions https://erdosproblems.ai/wiki/library/unit_fractions/brown_1991_monochromatic_solutions_equations_unit_fractions/corollary_2_2 https://erdosproblems.ai/wiki/library/unit_fractions/brown_1991_monochromatic_solutions_equations_unit_fractions/corollary_2_3 https://erdosproblems.ai/wiki/library/unit_fractions/brown_1991_monochromatic_solutions_equations_unit_fractions/corollary_2_4 https://erdosproblems.ai/wiki/library/unit_fractions/brown_1991_monochromatic_solutions_equations_unit_fractions/theorem_2_1 https://erdosproblems.ai/wiki/library/unit_fractions/brown_1991_monochromatic_solutions_equations_unit_fractions/theorem_2_1a https://erdosproblems.ai/wiki/library/unit_fractions/brown_1991_monochromatic_solutions_equations_unit_fractions/theorem_2_5 https://erdosproblems.ai/wiki/library/unit_fractions/butler_2015_egyptian_fractions_each_denominator_having_three https://erdosproblems.ai/wiki/library/unit_fractions/butler_2015_egyptian_fractions_each_denominator_having_three/theorem_1 https://erdosproblems.ai/wiki/library/unit_fractions/chu_2023_threshold_best_two_term_underapproximation_egyptian https://erdosproblems.ai/wiki/library/unit_fractions/chu_2023_threshold_best_two_term_underapproximation_egyptian/theorem_1_12 https://erdosproblems.ai/wiki/library/unit_fractions/chu_2023_threshold_best_two_term_underapproximation_egyptian/theorem_1_3 https://erdosproblems.ai/wiki/library/unit_fractions/conlon_2024_question_erdos_graham_egyptian_fractions https://erdosproblems.ai/wiki/library/unit_fractions/conlon_2024_question_erdos_graham_egyptian_fractions/claim_1 https://erdosproblems.ai/wiki/library/unit_fractions/conlon_2024_question_erdos_graham_egyptian_fractions/claim_2 https://erdosproblems.ai/wiki/library/unit_fractions/conlon_2024_question_erdos_graham_egyptian_fractions/conditional_entropy https://erdosproblems.ai/wiki/library/unit_fractions/conlon_2024_question_erdos_graham_egyptian_fractions/definitions https://erdosproblems.ai/wiki/library/unit_fractions/conlon_2024_question_erdos_graham_egyptian_fractions/entropy_basics https://erdosproblems.ai/wiki/library/unit_fractions/conlon_2024_question_erdos_graham_egyptian_fractions/entropy_exponent https://erdosproblems.ai/wiki/library/unit_fractions/conlon_2024_question_erdos_graham_egyptian_fractions/external_inputs https://erdosproblems.ai/wiki/library/unit_fractions/conlon_2024_question_erdos_graham_egyptian_fractions/finite_window https://erdosproblems.ai/wiki/library/unit_fractions/conlon_2024_question_erdos_graham_egyptian_fractions/gap_symmetrization https://erdosproblems.ai/wiki/library/unit_fractions/conlon_2024_question_erdos_graham_egyptian_fractions/lemma_1 https://erdosproblems.ai/wiki/library/unit_fractions/conlon_2024_question_erdos_graham_egyptian_fractions/lemma_2 https://erdosproblems.ai/wiki/library/unit_fractions/conlon_2024_question_erdos_graham_egyptian_fractions/lemma_3 https://erdosproblems.ai/wiki/library/unit_fractions/conlon_2024_question_erdos_graham_egyptian_fractions/lemma_4 https://erdosproblems.ai/wiki/library/unit_fractions/conlon_2024_question_erdos_graham_egyptian_fractions/lemma_5 https://erdosproblems.ai/wiki/library/unit_fractions/conlon_2024_question_erdos_graham_egyptian_fractions/moments https://erdosproblems.ai/wiki/library/unit_fractions/conlon_2024_question_erdos_graham_egyptian_fractions/reservoir_availability https://erdosproblems.ai/wiki/library/unit_fractions/conlon_2024_question_erdos_graham_egyptian_fractions/reservoir_completion https://erdosproblems.ai/wiki/library/unit_fractions/conlon_2024_question_erdos_graham_egyptian_fractions/source_versions https://erdosproblems.ai/wiki/library/unit_fractions/conlon_2024_question_erdos_graham_egyptian_fractions/theorem_1 https://erdosproblems.ai/wiki/library/unit_fractions/conlon_2024_question_erdos_graham_egyptian_fractions/theorem_2 https://erdosproblems.ai/wiki/library/unit_fractions/conlon_2024_question_erdos_graham_egyptian_fractions/theorem_3 https://erdosproblems.ai/wiki/library/unit_fractions/conlon_2024_question_erdos_graham_egyptian_fractions/theorem_4 https://erdosproblems.ai/wiki/library/unit_fractions/croot_1999_unit_fractions_denominators_short_intervals https://erdosproblems.ai/wiki/library/unit_fractions/croot_1999_unit_fractions_denominators_short_intervals/main_theorem https://erdosproblems.ai/wiki/library/unit_fractions/croot_2003_coloring_conjecture_about_unit_fractions https://erdosproblems.ai/wiki/library/unit_fractions/croot_2003_coloring_conjecture_about_unit_fractions/corollary https://erdosproblems.ai/wiki/library/unit_fractions/croot_2003_coloring_conjecture_about_unit_fractions/main_theorem https://erdosproblems.ai/wiki/library/unit_fractions/crootiii_1999_questions_erdos_graham_about_egyptian_fractions https://erdosproblems.ai/wiki/library/unit_fractions/crootiii_1999_questions_erdos_graham_about_egyptian_fractions/conjecture_p2 https://erdosproblems.ai/wiki/library/unit_fractions/crootiii_1999_questions_erdos_graham_about_egyptian_fractions/corollary https://erdosproblems.ai/wiki/library/unit_fractions/crootiii_1999_questions_erdos_graham_about_egyptian_fractions/main_theorem https://erdosproblems.ai/wiki/library/unit_fractions/curtiss_1922_kellogg_s_diophantine_problem https://erdosproblems.ai/wiki/library/unit_fractions/curtiss_1922_kellogg_s_diophantine_problem/theorem_i https://erdosproblems.ai/wiki/library/unit_fractions/doorn_2024_non_monotonicity_denominator_generalized_harmonic_sums https://erdosproblems.ai/wiki/library/unit_fractions/doorn_2024_non_monotonicity_denominator_generalized_harmonic_sums/corollary_1 https://erdosproblems.ai/wiki/library/unit_fractions/doorn_2024_non_monotonicity_denominator_generalized_harmonic_sums/theorem_2 https://erdosproblems.ai/wiki/library/unit_fractions/doorn_2024_non_monotonicity_denominator_generalized_harmonic_sums/theorem_6 https://erdosproblems.ai/wiki/library/unit_fractions/doorn_2024_non_monotonicity_denominator_generalized_harmonic_sums/theorem_8 https://erdosproblems.ai/wiki/library/unit_fractions/doorn_2025_lacunary_sequences_whose_reciprocal_sums_represent https://erdosproblems.ai/wiki/library/unit_fractions/doorn_2025_lacunary_sequences_whose_reciprocal_sums_represent/proposition_8 https://erdosproblems.ai/wiki/library/unit_fractions/doorn_2025_lacunary_sequences_whose_reciprocal_sums_represent/theorem_1 https://erdosproblems.ai/wiki/library/unit_fractions/doorn_2025_lacunary_sequences_whose_reciprocal_sums_represent/theorem_12 https://erdosproblems.ai/wiki/library/unit_fractions/doorn_2025_lacunary_sequences_whose_reciprocal_sums_represent/theorem_2 https://erdosproblems.ai/wiki/library/unit_fractions/doorn_2025_lacunary_sequences_whose_reciprocal_sums_represent/theorem_3 https://erdosproblems.ai/wiki/library/unit_fractions/doorn_2025_partitions_prescribed_sum_reciprocals_asymptotic_bounds https://erdosproblems.ai/wiki/library/unit_fractions/doorn_2025_partitions_prescribed_sum_reciprocals_asymptotic_bounds/theorem_1 https://erdosproblems.ai/wiki/library/unit_fractions/doorn_2025_partitions_prescribed_sum_reciprocals_asymptotic_bounds/theorem_2 https://erdosproblems.ai/wiki/library/unit_fractions/doorn_2025_partitions_prescribed_sum_reciprocals_asymptotic_bounds/theorem_3 https://erdosproblems.ai/wiki/library/unit_fractions/doorn_2025_partitions_prescribed_sum_reciprocals_asymptotic_bounds/theorem_4 https://erdosproblems.ai/wiki/library/unit_fractions/doorn_2025_smallest_denominator_not_contained_unit_fraction https://erdosproblems.ai/wiki/library/unit_fractions/doorn_2025_smallest_denominator_not_contained_unit_fraction/inequality_1_2 https://erdosproblems.ai/wiki/library/unit_fractions/doorn_2025_smallest_denominator_not_contained_unit_fraction/section_3 https://erdosproblems.ai/wiki/library/unit_fractions/doorn_2025_smallest_denominator_not_contained_unit_fraction/theorem_1_1 https://erdosproblems.ai/wiki/library/unit_fractions/doorn_2025_two_coloring_density_solutions_unit_fraction_equation https://erdosproblems.ai/wiki/library/unit_fractions/doorn_2025_two_coloring_density_solutions_unit_fraction_equation/theorem_1 https://erdosproblems.ai/wiki/library/unit_fractions/doorn_2025_two_coloring_density_solutions_unit_fraction_equation/theorem_2 https://erdosproblems.ai/wiki/library/unit_fractions/doorn_2026_shortest_harmonic_sums_decreasing_denominator https://erdosproblems.ai/wiki/library/unit_fractions/doorn_2026_shortest_harmonic_sums_decreasing_denominator/theorem_1 https://erdosproblems.ai/wiki/library/unit_fractions/doorn_2026_shortest_harmonic_sums_decreasing_denominator/theorem_3 https://erdosproblems.ai/wiki/library/unit_fractions/elsholtz_2013_counting_number_solutions_erdos_straus https://erdosproblems.ai/wiki/library/unit_fractions/elsholtz_2013_counting_number_solutions_erdos_straus/proposition_1_4 https://erdosproblems.ai/wiki/library/unit_fractions/elsholtz_2013_counting_number_solutions_erdos_straus/proposition_1_6 https://erdosproblems.ai/wiki/library/unit_fractions/elsholtz_2013_counting_number_solutions_erdos_straus/proposition_1_7 https://erdosproblems.ai/wiki/library/unit_fractions/elsholtz_2013_counting_number_solutions_erdos_straus/proposition_1_9 https://erdosproblems.ai/wiki/library/unit_fractions/elsholtz_2013_counting_number_solutions_erdos_straus/theorem_1_1 https://erdosproblems.ai/wiki/library/unit_fractions/elsholtz_2013_counting_number_solutions_erdos_straus/theorem_1_11 https://erdosproblems.ai/wiki/library/unit_fractions/elsholtz_2013_counting_number_solutions_erdos_straus/theorem_1_8 https://erdosproblems.ai/wiki/library/unit_fractions/elsholtz_2016_egyptian_fractions_odd_denominators https://erdosproblems.ai/wiki/library/unit_fractions/elsholtz_2016_egyptian_fractions_odd_denominators/corollary_1_2 https://erdosproblems.ai/wiki/library/unit_fractions/elsholtz_2016_egyptian_fractions_odd_denominators/theorem_1_1 https://erdosproblems.ai/wiki/library/unit_fractions/elsholtz_2020_number_solutions_erdos_straus_equation https://erdosproblems.ai/wiki/library/unit_fractions/elsholtz_2020_number_solutions_erdos_straus_equation/corollary_1 https://erdosproblems.ai/wiki/library/unit_fractions/elsholtz_2020_number_solutions_erdos_straus_equation/corollary_3 https://erdosproblems.ai/wiki/library/unit_fractions/elsholtz_2020_number_solutions_erdos_straus_equation/theorem_1 https://erdosproblems.ai/wiki/library/unit_fractions/elsholtz_2020_number_solutions_erdos_straus_equation/theorem_2 https://erdosproblems.ai/wiki/library/unit_fractions/elsholtz_2020_number_solutions_erdos_straus_equation/theorem_3 https://erdosproblems.ai/wiki/library/unit_fractions/elsholtz_2020_number_solutions_erdos_straus_equation/theorem_4 https://erdosproblems.ai/wiki/library/unit_fractions/elsholtz_2021_sums_four_more_unit_fractions_approximate https://erdosproblems.ai/wiki/library/unit_fractions/elsholtz_2021_sums_four_more_unit_fractions_approximate/corollary_3 https://erdosproblems.ai/wiki/library/unit_fractions/elsholtz_2021_sums_four_more_unit_fractions_approximate/theorem_1 https://erdosproblems.ai/wiki/library/unit_fractions/elsholtz_2021_sums_four_more_unit_fractions_approximate/theorem_2 https://erdosproblems.ai/wiki/library/unit_fractions/erdos_1932_egy_kurschak_fele_elemi https://erdosproblems.ai/wiki/library/unit_fractions/erdos_1932_egy_kurschak_fele_elemi/theorem_1 https://erdosproblems.ai/wiki/library/unit_fractions/erdos_1950_az_egyenlet_egesz_szamu_megoldasairol_diophantine https://erdosproblems.ai/wiki/library/unit_fractions/erdos_1950_az_egyenlet_egesz_szamu_megoldasairol_diophantine/conjecture_p195 https://erdosproblems.ai/wiki/library/unit_fractions/erdos_1950_az_egyenlet_egesz_szamu_megoldasairol_diophantine/conjectures_p194 https://erdosproblems.ai/wiki/library/unit_fractions/erdos_1950_az_egyenlet_egesz_szamu_megoldasairol_diophantine/theorem_1 https://erdosproblems.ai/wiki/library/unit_fractions/erdos_1950_az_egyenlet_egesz_szamu_megoldasairol_diophantine/theorem_2 https://erdosproblems.ai/wiki/library/unit_fractions/erdos_1950_az_egyenlet_egesz_szamu_megoldasairol_diophantine/theorem_4 https://erdosproblems.ai/wiki/library/unit_fractions/graham_1963_theorem_partitions https://erdosproblems.ai/wiki/library/unit_fractions/graham_1963_theorem_partitions/theorem_1 https://erdosproblems.ai/wiki/library/unit_fractions/graham_1963_theorem_partitions/theorem_2 https://erdosproblems.ai/wiki/library/unit_fractions/graham_1963_theorem_partitions/theorem_3 https://erdosproblems.ai/wiki/library/unit_fractions/graham_1964_finite_sums_reciprocals_distinct_nth_powers https://erdosproblems.ai/wiki/library/unit_fractions/graham_1964_finite_sums_reciprocals_distinct_nth_powers/corollary_1 https://erdosproblems.ai/wiki/library/unit_fractions/graham_1964_finite_sums_reciprocals_distinct_nth_powers/corollary_2 https://erdosproblems.ai/wiki/library/unit_fractions/graham_1964_finite_sums_reciprocals_distinct_nth_powers/theorem_3 https://erdosproblems.ai/wiki/library/unit_fractions/graham_1964_finite_sums_reciprocals_distinct_nth_powers/theorem_4 https://erdosproblems.ai/wiki/library/unit_fractions/graham_1964_finite_sums_reciprocals_distinct_nth_powers/theorem_a https://erdosproblems.ai/wiki/library/unit_fractions/graham_1964_finite_sums_unit_fractions https://erdosproblems.ai/wiki/library/unit_fractions/graham_1964_finite_sums_unit_fractions/example_p205 https://erdosproblems.ai/wiki/library/unit_fractions/graham_1964_finite_sums_unit_fractions/remark_p206 https://erdosproblems.ai/wiki/library/unit_fractions/graham_1964_finite_sums_unit_fractions/theorem_1 https://erdosproblems.ai/wiki/library/unit_fractions/graham_1964_finite_sums_unit_fractions/theorem_4 https://erdosproblems.ai/wiki/library/unit_fractions/graham_1964_finite_sums_unit_fractions/theorem_5 https://erdosproblems.ai/wiki/library/unit_fractions/kamio_2025_asymptotic_analysis_infinite_decompositions_unit_fraction https://erdosproblems.ai/wiki/library/unit_fractions/kamio_2025_asymptotic_analysis_infinite_decompositions_unit_fraction/theorem_8 https://erdosproblems.ai/wiki/library/unit_fractions/koizumi_2025_irrationality_reciprocal_sum_doubly_exponential_sequences https://erdosproblems.ai/wiki/library/unit_fractions/koizumi_2025_irrationality_reciprocal_sum_doubly_exponential_sequences/conjecture_6 https://erdosproblems.ai/wiki/library/unit_fractions/koizumi_2025_irrationality_reciprocal_sum_doubly_exponential_sequences/corollary_2 https://erdosproblems.ai/wiki/library/unit_fractions/koizumi_2025_irrationality_reciprocal_sum_doubly_exponential_sequences/corollary_20 https://erdosproblems.ai/wiki/library/unit_fractions/koizumi_2025_irrationality_reciprocal_sum_doubly_exponential_sequences/remark_22 https://erdosproblems.ai/wiki/library/unit_fractions/koizumi_2025_irrationality_reciprocal_sum_doubly_exponential_sequences/theorem_1 https://erdosproblems.ai/wiki/library/unit_fractions/koizumi_2025_irrationality_reciprocal_sum_doubly_exponential_sequences/theorem_16 https://erdosproblems.ai/wiki/library/unit_fractions/koizumi_2025_irrationality_reciprocal_sum_doubly_exponential_sequences/theorem_4 https://erdosproblems.ai/wiki/library/unit_fractions/konyagin_2014_double_exponential_lower_bound_number_representations https://erdosproblems.ai/wiki/library/unit_fractions/konyagin_2014_double_exponential_lower_bound_number_representations/theorem_1 https://erdosproblems.ai/wiki/library/unit_fractions/konyagin_2014_double_exponential_lower_bound_number_representations/theorem_2 https://erdosproblems.ai/wiki/library/unit_fractions/korsky_2026_stretched_exponential_bound_erdos_graham_unit https://erdosproblems.ai/wiki/library/unit_fractions/korsky_2026_stretched_exponential_bound_erdos_graham_unit/theorem_1_1 https://erdosproblems.ai/wiki/library/unit_fractions/kovac_2024_eventually_greedy_best_underapproximations_egyptian_fractions https://erdosproblems.ai/wiki/library/unit_fractions/kovac_2024_eventually_greedy_best_underapproximations_egyptian_fractions/corollary_2 https://erdosproblems.ai/wiki/library/unit_fractions/kovac_2024_eventually_greedy_best_underapproximations_egyptian_fractions/lemma_3 https://erdosproblems.ai/wiki/library/unit_fractions/kovac_2024_eventually_greedy_best_underapproximations_egyptian_fractions/lemma_4 https://erdosproblems.ai/wiki/library/unit_fractions/kovac_2024_eventually_greedy_best_underapproximations_egyptian_fractions/theorem_1 https://erdosproblems.ai/wiki/library/unit_fractions/kovac_2026_eventually_greedy_best_egyptian_underapproximations_rational https://erdosproblems.ai/wiki/library/unit_fractions/kovac_2026_eventually_greedy_best_egyptian_underapproximations_rational/corollary_3 https://erdosproblems.ai/wiki/library/unit_fractions/kovac_2026_eventually_greedy_best_egyptian_underapproximations_rational/example_2 https://erdosproblems.ai/wiki/library/unit_fractions/kovac_2026_eventually_greedy_best_egyptian_underapproximations_rational/theorem_1 https://erdosproblems.ai/wiki/library/unit_fractions/kovac_2026_eventually_greedy_best_egyptian_underapproximations_rational/theorem_4 https://erdosproblems.ai/wiki/library/unit_fractions/larsen_2026_sufficiently_abundant_numbers_pseudoperfect https://erdosproblems.ai/wiki/library/unit_fractions/larsen_2026_sufficiently_abundant_numbers_pseudoperfect/corollary_5 https://erdosproblems.ai/wiki/library/unit_fractions/larsen_2026_sufficiently_abundant_numbers_pseudoperfect/theorem_1 https://erdosproblems.ai/wiki/library/unit_fractions/larsen_2026_sufficiently_abundant_numbers_pseudoperfect/theorem_4 https://erdosproblems.ai/wiki/library/unit_fractions/larsen_2026_sufficiently_abundant_numbers_pseudoperfect/theorem_6 https://erdosproblems.ai/wiki/library/unit_fractions/li_2025_conjecture_erdos_graham_about_sylvester_s https://erdosproblems.ai/wiki/library/unit_fractions/li_2025_conjecture_erdos_graham_about_sylvester_s/corollary_1_7 https://erdosproblems.ai/wiki/library/unit_fractions/li_2025_conjecture_erdos_graham_about_sylvester_s/theorem_1_5 https://erdosproblems.ai/wiki/library/unit_fractions/li_2025_conjecture_erdos_graham_about_sylvester_s/theorem_1_6 https://erdosproblems.ai/wiki/library/unit_fractions/li_2025_conjecture_erdos_graham_about_sylvester_s/theorem_1_9 https://erdosproblems.ai/wiki/library/unit_fractions/lim_2024_differences_two_harmonic_numbers https://erdosproblems.ai/wiki/library/unit_fractions/lim_2024_differences_two_harmonic_numbers/theorem_1 https://erdosproblems.ai/wiki/library/unit_fractions/lim_2024_differences_two_harmonic_numbers/theorem_2 https://erdosproblems.ai/wiki/library/unit_fractions/liu_2024_further_questions_regarding_unit_fractions https://erdosproblems.ai/wiki/library/unit_fractions/liu_2024_further_questions_regarding_unit_fractions/counting_carrier https://erdosproblems.ai/wiki/library/unit_fractions/liu_2024_further_questions_regarding_unit_fractions/counting_period_obstruction https://erdosproblems.ai/wiki/library/unit_fractions/liu_2024_further_questions_regarding_unit_fractions/evidence https://erdosproblems.ai/wiki/library/unit_fractions/liu_2024_further_questions_regarding_unit_fractions/evidence/verify https://erdosproblems.ai/wiki/library/unit_fractions/liu_2024_further_questions_regarding_unit_fractions/evidence/verify/main_proof_review https://erdosproblems.ai/wiki/library/unit_fractions/liu_2024_further_questions_regarding_unit_fractions/evidence/verify/main_proof_review_fresh https://erdosproblems.ai/wiki/library/unit_fractions/liu_2024_further_questions_regarding_unit_fractions/evidence/verify/main_proof_review_grade_fresh https://erdosproblems.ai/wiki/library/unit_fractions/liu_2024_further_questions_regarding_unit_fractions/evidence/verify/preliminary_review https://erdosproblems.ai/wiki/library/unit_fractions/liu_2024_further_questions_regarding_unit_fractions/evidence/verify/source_checks_review https://erdosproblems.ai/wiki/library/unit_fractions/liu_2024_further_questions_regarding_unit_fractions/evidence/verify/supplement_review https://erdosproblems.ai/wiki/library/unit_fractions/liu_2024_further_questions_regarding_unit_fractions/fact_2_5 https://erdosproblems.ai/wiki/library/unit_fractions/liu_2024_further_questions_regarding_unit_fractions/lemma_2_2 https://erdosproblems.ai/wiki/library/unit_fractions/liu_2024_further_questions_regarding_unit_fractions/lemma_2_3 https://erdosproblems.ai/wiki/library/unit_fractions/liu_2024_further_questions_regarding_unit_fractions/lemma_2_4 https://erdosproblems.ai/wiki/library/unit_fractions/liu_2024_further_questions_regarding_unit_fractions/lemma_2_6 https://erdosproblems.ai/wiki/library/unit_fractions/liu_2024_further_questions_regarding_unit_fractions/lemma_3_1 https://erdosproblems.ai/wiki/library/unit_fractions/liu_2024_further_questions_regarding_unit_fractions/lemma_3_3 https://erdosproblems.ai/wiki/library/unit_fractions/liu_2024_further_questions_regarding_unit_fractions/lemma_5_1 https://erdosproblems.ai/wiki/library/unit_fractions/liu_2024_further_questions_regarding_unit_fractions/lemma_6_1 https://erdosproblems.ai/wiki/library/unit_fractions/liu_2024_further_questions_regarding_unit_fractions/lemma_6_2 https://erdosproblems.ai/wiki/library/unit_fractions/liu_2024_further_questions_regarding_unit_fractions/proposition_1_4 https://erdosproblems.ai/wiki/library/unit_fractions/liu_2024_further_questions_regarding_unit_fractions/proposition_3_2 https://erdosproblems.ai/wiki/library/unit_fractions/liu_2024_further_questions_regarding_unit_fractions/proposition_5_2 https://erdosproblems.ai/wiki/library/unit_fractions/liu_2024_further_questions_regarding_unit_fractions/theorem_1_1 https://erdosproblems.ai/wiki/library/unit_fractions/liu_2024_further_questions_regarding_unit_fractions/theorem_1_2 https://erdosproblems.ai/wiki/library/unit_fractions/liu_2024_further_questions_regarding_unit_fractions/theorem_1_3 https://erdosproblems.ai/wiki/library/unit_fractions/liu_2024_further_questions_regarding_unit_fractions/theorem_1_5 https://erdosproblems.ai/wiki/library/unit_fractions/liu_2024_further_questions_regarding_unit_fractions/theorem_1_6 https://erdosproblems.ai/wiki/library/unit_fractions/liu_2024_further_questions_regarding_unit_fractions/theorem_2_1 https://erdosproblems.ai/wiki/library/unit_fractions/louwsma_martino_2023_rational_numbers_odd_greedy_expansion_fixed_length https://erdosproblems.ai/wiki/library/unit_fractions/louwsma_martino_2023_rational_numbers_odd_greedy_expansion_fixed_length/proposition_3_1 https://erdosproblems.ai/wiki/library/unit_fractions/louwsma_martino_2023_rational_numbers_odd_greedy_expansion_fixed_length/proposition_4_5 https://erdosproblems.ai/wiki/library/unit_fractions/louwsma_martino_2023_rational_numbers_odd_greedy_expansion_fixed_length/theorem_2_3 https://erdosproblems.ai/wiki/library/unit_fractions/louwsma_martino_2023_rational_numbers_odd_greedy_expansion_fixed_length/theorem_3_2 https://erdosproblems.ai/wiki/library/unit_fractions/louwsma_martino_2023_rational_numbers_odd_greedy_expansion_fixed_length/theorem_4_10 https://erdosproblems.ai/wiki/library/unit_fractions/louwsma_martino_2023_rational_numbers_odd_greedy_expansion_fixed_length/theorem_4_3 https://erdosproblems.ai/wiki/library/unit_fractions/louwsma_martino_2023_rational_numbers_odd_greedy_expansion_fixed_length/theorem_5_2 https://erdosproblems.ai/wiki/library/unit_fractions/louwsma_martino_2025_rational_numbers_two_term_odd_greedy_expansion https://erdosproblems.ai/wiki/library/unit_fractions/martin_1998_dense_egyptian_fractions https://erdosproblems.ai/wiki/library/unit_fractions/martin_1998_dense_egyptian_fractions/theorem_1 https://erdosproblems.ai/wiki/library/unit_fractions/martin_2000_denser_egyptian_fractions https://erdosproblems.ai/wiki/library/unit_fractions/martin_2000_denser_egyptian_fractions/theorem_1 https://erdosproblems.ai/wiki/library/unit_fractions/martin_2000_denser_egyptian_fractions/theorem_2 https://erdosproblems.ai/wiki/library/unit_fractions/martin_2000_denser_egyptian_fractions/theorem_3 https://erdosproblems.ai/wiki/library/unit_fractions/martin_2000_denser_egyptian_fractions/theorem_4 https://erdosproblems.ai/wiki/library/unit_fractions/martin_shi_2021_algorithm_egyptian_fraction_representations_restricted_denominators https://erdosproblems.ai/wiki/library/unit_fractions/martin_shi_2021_algorithm_egyptian_fraction_representations_restricted_denominators/conjecture_4_1 https://erdosproblems.ai/wiki/library/unit_fractions/martin_shi_2021_algorithm_egyptian_fraction_representations_restricted_denominators/lemma_2_6 https://erdosproblems.ai/wiki/library/unit_fractions/martin_shi_2021_algorithm_egyptian_fraction_representations_restricted_denominators/theorem_2_2 https://erdosproblems.ai/wiki/library/unit_fractions/mihnea_2025_further_verification_empirical_evidence_erdos_straus https://erdosproblems.ai/wiki/library/unit_fractions/mihnea_2025_further_verification_empirical_evidence_erdos_straus/section_2 https://erdosproblems.ai/wiki/library/unit_fractions/mihnea_2025_further_verification_empirical_evidence_erdos_straus/section_3 https://erdosproblems.ai/wiki/library/unit_fractions/montgomery_1979_solution_problem_e2689_egyptian_fractions https://erdosproblems.ai/wiki/library/unit_fractions/montgomery_1979_solution_problem_e2689_egyptian_fractions/solution_p224 https://erdosproblems.ai/wiki/library/unit_fractions/nathanson_2023_underapproximation_egyptian_fractions https://erdosproblems.ai/wiki/library/unit_fractions/nathanson_2023_underapproximation_egyptian_fractions/open_problem_4 https://erdosproblems.ai/wiki/library/unit_fractions/nathanson_2023_underapproximation_egyptian_fractions/theorem_5 https://erdosproblems.ai/wiki/library/unit_fractions/openai_2026_short_egyptian_fractions https://erdosproblems.ai/wiki/library/unit_fractions/openai_2026_short_egyptian_fractions/corollary_1_2 https://erdosproblems.ai/wiki/library/unit_fractions/openai_2026_short_egyptian_fractions/corollary_1_3 https://erdosproblems.ai/wiki/library/unit_fractions/openai_2026_short_egyptian_fractions/theorem_1_1 https://erdosproblems.ai/wiki/library/unit_fractions/pihko_2001_remarks_greedy_odd_egyptian_fraction_algorithm https://erdosproblems.ai/wiki/library/unit_fractions/pihko_2001_remarks_greedy_odd_egyptian_fraction_algorithm/open_problem_1_1 https://erdosproblems.ai/wiki/library/unit_fractions/pihko_2001_remarks_greedy_odd_egyptian_fraction_algorithm/remark_2_4 https://erdosproblems.ai/wiki/library/unit_fractions/pihko_2001_remarks_greedy_odd_egyptian_fraction_algorithm/theorem_2_3 https://erdosproblems.ai/wiki/library/unit_fractions/pihko_2001_remarks_greedy_odd_egyptian_fraction_algorithm/theorem_3_5 https://erdosproblems.ai/wiki/library/unit_fractions/pihko_2001_remarks_greedy_odd_egyptian_fraction_algorithm/theorem_3_6 https://erdosproblems.ai/wiki/library/unit_fractions/pihko_2001_remarks_greedy_odd_egyptian_fraction_algorithm/theorem_3_7 https://erdosproblems.ai/wiki/library/unit_fractions/pihko_2001_remarks_greedy_odd_egyptian_fraction_algorithm/theorem_3_8 https://erdosproblems.ai/wiki/library/unit_fractions/pihko_2010_remarks_greedy_odd_egyptian_fraction_algorithm_ii https://erdosproblems.ai/wiki/library/unit_fractions/pihko_2010_remarks_greedy_odd_egyptian_fraction_algorithm_ii/corollary_3_6 https://erdosproblems.ai/wiki/library/unit_fractions/pihko_2010_remarks_greedy_odd_egyptian_fraction_algorithm_ii/open_problem_p202 https://erdosproblems.ai/wiki/library/unit_fractions/pihko_2010_remarks_greedy_odd_egyptian_fraction_algorithm_ii/theorem_2_3 https://erdosproblems.ai/wiki/library/unit_fractions/pihko_2010_remarks_greedy_odd_egyptian_fraction_algorithm_ii/theorem_3_5 https://erdosproblems.ai/wiki/library/unit_fractions/pomerance_2025_exceptions_erdos_straus_schinzel https://erdosproblems.ai/wiki/library/unit_fractions/pomerance_2025_exceptions_erdos_straus_schinzel/theorem_1_1 https://erdosproblems.ai/wiki/library/unit_fractions/pomerance_2025_exceptions_erdos_straus_schinzel/theorem_1_3 https://erdosproblems.ai/wiki/library/unit_fractions/ruderman_1971_e2232_representation_1_egyptian_fractions_problem https://erdosproblems.ai/wiki/library/unit_fractions/ruderman_1971_e2232_representation_1_egyptian_fractions_problem/conjecture_p303 https://erdosproblems.ai/wiki/library/unit_fractions/ruderman_1971_e2232_representation_1_egyptian_fractions_problem/inequality_1 https://erdosproblems.ai/wiki/library/unit_fractions/sawin_2026_sets_unit_fractions_without_two_members_average_unit_fraction https://erdosproblems.ai/wiki/library/unit_fractions/sawin_2026_sets_unit_fractions_without_two_members_average_unit_fraction/theorem_1 https://erdosproblems.ai/wiki/library/unit_fractions/shiu_2016_denominators_harmonic_numbers_revised https://erdosproblems.ai/wiki/library/unit_fractions/shiu_2016_denominators_harmonic_numbers_revised/conjecture_p2 https://erdosproblems.ai/wiki/library/unit_fractions/shiu_2016_denominators_harmonic_numbers_revised/theorem_1 https://erdosproblems.ai/wiki/library/unit_fractions/shiu_2016_denominators_harmonic_numbers_revised/theorem_2 https://erdosproblems.ai/wiki/library/unit_fractions/shiu_2016_denominators_harmonic_numbers_revised/theorem_3 https://erdosproblems.ai/wiki/library/unit_fractions/shiu_2016_denominators_harmonic_numbers_revised/theorem_4 https://erdosproblems.ai/wiki/library/unit_fractions/steinerberger_2024_problem_involving_unit_fractions https://erdosproblems.ai/wiki/library/unit_fractions/steinerberger_2024_problem_involving_unit_fractions/lemma https://erdosproblems.ai/wiki/library/unit_fractions/steinerberger_2024_problem_involving_unit_fractions/notation https://erdosproblems.ai/wiki/library/unit_fractions/steinerberger_2024_problem_involving_unit_fractions/signed_moment https://erdosproblems.ai/wiki/library/unit_fractions/steinerberger_2024_problem_involving_unit_fractions/theorem https://erdosproblems.ai/wiki/library/unit_fractions/steinerberger_2024_problem_involving_unit_fractions/upper_half_lower_bound https://erdosproblems.ai/wiki/library/unit_fractions/tang_2026_note_problem_311 https://erdosproblems.ai/wiki/library/unit_fractions/tang_2026_note_problem_311/lemma_3_3 https://erdosproblems.ai/wiki/library/unit_fractions/tang_2026_note_problem_311/theorem_4_1 https://erdosproblems.ai/wiki/library/unit_fractions/terzi_1971_conjecture_erdos_straus https://erdosproblems.ai/wiki/library/unit_fractions/terzi_1971_conjecture_erdos_straus/table_2 https://erdosproblems.ai/wiki/library/unit_fractions/terzi_1971_conjecture_erdos_straus/verification_p215 https://erdosproblems.ai/wiki/library/unit_fractions/vaughan_1970_problem_erdos_straus_schinzel https://erdosproblems.ai/wiki/library/unit_fractions/vaughan_1970_problem_erdos_straus_schinzel/lemma_1 https://erdosproblems.ai/wiki/library/unit_fractions/vaughan_1970_problem_erdos_straus_schinzel/lemma_2 https://erdosproblems.ai/wiki/library/unit_fractions/vaughan_1970_problem_erdos_straus_schinzel/theorem_p193 https://erdosproblems.ai/wiki/library/unit_fractions/wang_2026_667_806_upper_bound_erdos_problem https://erdosproblems.ai/wiki/library/unit_fractions/wang_2026_667_806_upper_bound_erdos_problem/lemma_1 https://erdosproblems.ai/wiki/library/unit_fractions/wang_2026_667_806_upper_bound_erdos_problem/proposition_1 https://erdosproblems.ai/wiki/library/unit_fractions/wang_2026_667_806_upper_bound_erdos_problem/theorem_1 https://erdosproblems.ai/wiki/library/unit_fractions/wang_2026_port_fillings_primary_pseudoperfect_numbers https://erdosproblems.ai/wiki/library/unit_fractions/wang_2026_port_fillings_primary_pseudoperfect_numbers/theorem_11_1 https://erdosproblems.ai/wiki/library/unit_fractions/wang_2026_port_fillings_primary_pseudoperfect_numbers/theorem_19_5 https://erdosproblems.ai/wiki/library/unit_fractions/wang_2026_port_fillings_primary_pseudoperfect_numbers/theorem_9_1 https://erdosproblems.ai/wiki/library/unit_fractions/watanabe_2020_new_examples_representation_1_sum_reciprocals https://erdosproblems.ai/wiki/library/unit_fractions/watanabe_2020_new_examples_representation_1_sum_reciprocals/section_2 https://erdosproblems.ai/wiki/library/unit_fractions/webb_1965_sums_rational_numbers https://erdosproblems.ai/wiki/library/unit_fractions/webb_1965_sums_rational_numbers/corollary_p1023 https://erdosproblems.ai/wiki/library/unit_fractions/webb_1965_sums_rational_numbers/theorem_1 https://erdosproblems.ai/wiki/library/unit_fractions/webb_1965_sums_rational_numbers/theorem_2 https://erdosproblems.ai/wiki/library/unit_fractions/wu_2022_denominators_harmonic_numbers_iv https://erdosproblems.ai/wiki/library/unit_fractions/wu_2022_denominators_harmonic_numbers_iv/theorem_2 https://erdosproblems.ai/wiki/library/unit_fractions/yokota_1997_number_integers_representable_sum_unit_fractions_ii https://erdosproblems.ai/wiki/library/unit_fractions/yokota_1997_number_integers_representable_sum_unit_fractions_ii/lemma_4 https://erdosproblems.ai/wiki/library/unit_fractions/yokota_1997_number_integers_representable_sum_unit_fractions_ii/theorem_1 https://erdosproblems.ai/wiki/library/unit_fractions/yokota_2002_number_integers_representable_sums_unit_fractions_iii https://erdosproblems.ai/wiki/library/unit_fractions/yokota_2002_number_integers_representable_sums_unit_fractions_iii/corollary_1 https://erdosproblems.ai/wiki/library/unit_fractions/yokota_2002_number_integers_representable_sums_unit_fractions_iii/theorem_1 https://erdosproblems.ai/wiki/library/unit_fractions/yuan_2025_seed_prover_lean_proof_erdos_problem_303 https://erdosproblems.ai/wiki/library/unit_fractions/yuan_2025_seed_prover_lean_proof_erdos_problem_303/theorem_erdos_303 https://erdosproblems.ai/wiki/library/unit_fractions/yuan_2025_seed_prover_lean_proof_erdos_problem_303/yuan_2025_seed_prover_lean_proof_erdos_problem_303 https://erdosproblems.ai/wiki/wiki https://erdosproblems.ai/wiki/lemmas https://erdosproblems.ai/wiki/problems https://erdosproblems.ai/wiki/problems/additive_bases/E0009 https://erdosproblems.ai/wiki/problems/additive_bases/E0010 https://erdosproblems.ai/wiki/problems/additive_bases/E0010/claims/2026_08_06_5gegry_uluscv https://erdosproblems.ai/wiki/problems/additive_bases/E0010/claims/2026_08_06_daryxx https://erdosproblems.ai/wiki/problems/additive_bases/E0010/claims https://erdosproblems.ai/wiki/problems/additive_bases/E0011 https://erdosproblems.ai/wiki/problems/additive_bases/E0014 https://erdosproblems.ai/wiki/problems/additive_bases/E0014/claims/2026_09_14_jenw1n https://erdosproblems.ai/wiki/problems/additive_bases/E0014/claims https://erdosproblems.ai/wiki/problems/additive_bases/E0016 https://erdosproblems.ai/wiki/problems/additive_bases/E0016/claims/2023_12_07_chen https://erdosproblems.ai/wiki/problems/additive_bases/E0016/claims https://erdosproblems.ai/wiki/problems/additive_bases/E0028 https://erdosproblems.ai/wiki/problems/additive_bases/E0029 https://erdosproblems.ai/wiki/problems/additive_bases/E0029/claims/2024_05_14_jain_pham_sawhney_zakharov https://erdosproblems.ai/wiki/problems/additive_bases/E0029/claims https://erdosproblems.ai/wiki/problems/additive_bases/E0030 https://erdosproblems.ai/wiki/problems/additive_bases/E0031 https://erdosproblems.ai/wiki/problems/additive_bases/E0031/claims/1954_03_02_lorentz https://erdosproblems.ai/wiki/problems/additive_bases/E0031/claims https://erdosproblems.ai/wiki/problems/additive_bases/E0032 https://erdosproblems.ai/wiki/problems/additive_bases/E0032/claims/1998_01_01_ruzsa https://erdosproblems.ai/wiki/problems/additive_bases/E0032/claims https://erdosproblems.ai/wiki/problems/additive_bases/E0033 https://erdosproblems.ai/wiki/problems/additive_bases/E0033/claims/1965_01_01_moser https://erdosproblems.ai/wiki/problems/additive_bases/E0033/claims/1993_07_01_cilleruelo https://erdosproblems.ai/wiki/problems/additive_bases/E0033/claims/1995_03_01_habsieger https://erdosproblems.ai/wiki/problems/additive_bases/E0033/claims https://erdosproblems.ai/wiki/problems/additive_bases/E0035 https://erdosproblems.ai/wiki/problems/additive_bases/E0035/claims/1970_07_01_plunnecke https://erdosproblems.ai/wiki/problems/additive_bases/E0035/claims https://erdosproblems.ai/wiki/problems/additive_bases/E0039 https://erdosproblems.ai/wiki/problems/additive_bases/E0040 https://erdosproblems.ai/wiki/problems/additive_bases/E0041 https://erdosproblems.ai/wiki/problems/additive_bases/E0042 https://erdosproblems.ai/wiki/problems/additive_bases/E0042/claims/2026_01_19_sedov https://erdosproblems.ai/wiki/problems/additive_bases/E0042/claims/2026_04_27_sandhu https://erdosproblems.ai/wiki/problems/additive_bases/E0042/claims https://erdosproblems.ai/wiki/problems/additive_bases/E0043 https://erdosproblems.ai/wiki/problems/additive_bases/E0043/claims/2025_12_19_barreto https://erdosproblems.ai/wiki/problems/additive_bases/E0043/claims/2026_04_27_sandhu https://erdosproblems.ai/wiki/problems/additive_bases/E0043/claims https://erdosproblems.ai/wiki/problems/additive_bases/E0044 https://erdosproblems.ai/wiki/problems/additive_bases/E0066 https://erdosproblems.ai/wiki/problems/additive_bases/E0152 https://erdosproblems.ai/wiki/problems/additive_bases/E0152/claims/2026_04_03_deepmind https://erdosproblems.ai/wiki/problems/additive_bases/E0152/claims https://erdosproblems.ai/wiki/problems/additive_bases/E0153 https://erdosproblems.ai/wiki/problems/additive_bases/E0153/claims/2026_05_16_liu https://erdosproblems.ai/wiki/problems/additive_bases/E0153/claims/2026_05_19_liu https://erdosproblems.ai/wiki/problems/additive_bases/E0153/claims/2026_08_14_kapoor https://erdosproblems.ai/wiki/problems/additive_bases/E0153/claims https://erdosproblems.ai/wiki/problems/additive_bases/E0154 https://erdosproblems.ai/wiki/problems/additive_bases/E0154/claims/1998_04_01_lindstrom https://erdosproblems.ai/wiki/problems/additive_bases/E0154/claims/1998_08_14_kolountzakis https://erdosproblems.ai/wiki/problems/additive_bases/E0154/claims https://erdosproblems.ai/wiki/problems/additive_bases/E0155 https://erdosproblems.ai/wiki/problems/additive_bases/E0156 https://erdosproblems.ai/wiki/problems/additive_bases/E0157 https://erdosproblems.ai/wiki/problems/additive_bases/E0157/claims/2023_03_16_pilatte https://erdosproblems.ai/wiki/problems/additive_bases/E0157/claims/2026_08_25_alexeev https://erdosproblems.ai/wiki/problems/additive_bases/E0157/claims https://erdosproblems.ai/wiki/problems/additive_bases/E0158 https://erdosproblems.ai/wiki/problems/additive_bases/E0158/claims/1955_01_01_erdos https://erdosproblems.ai/wiki/problems/additive_bases/E0158/claims https://erdosproblems.ai/wiki/problems/additive_bases/E0221 https://erdosproblems.ai/wiki/problems/additive_bases/E0221/claims/1972_06_01_ruzsa https://erdosproblems.ai/wiki/problems/additive_bases/E0221/claims/2001_04_01_ruzsa https://erdosproblems.ai/wiki/problems/additive_bases/E0221/claims https://erdosproblems.ai/wiki/problems/additive_bases/E0241 https://erdosproblems.ai/wiki/problems/additive_bases/E0241/claims/1962_12_01_bose_chowla https://erdosproblems.ai/wiki/problems/additive_bases/E0241/claims https://erdosproblems.ai/wiki/problems/additive_bases/E0326 https://erdosproblems.ai/wiki/problems/additive_bases/E0326/claims/2026_05_20_bhalla https://erdosproblems.ai/wiki/problems/additive_bases/E0326/claims https://erdosproblems.ai/wiki/problems/additive_bases/E0330 https://erdosproblems.ai/wiki/problems/additive_bases/E0330/claims/2026_04_24_turturean https://erdosproblems.ai/wiki/problems/additive_bases/E0330/claims https://erdosproblems.ai/wiki/problems/additive_bases/E0333 https://erdosproblems.ai/wiki/problems/additive_bases/E0333/claims/1977_11_01_erdos_newman https://erdosproblems.ai/wiki/problems/additive_bases/E0333/claims/2025_12_25_barreto https://erdosproblems.ai/wiki/problems/additive_bases/E0333/claims https://erdosproblems.ai/wiki/problems/additive_bases/E0336 https://erdosproblems.ai/wiki/problems/additive_bases/E0336/claims/2026_07_15_snyder https://erdosproblems.ai/wiki/problems/additive_bases/E0336/claims https://erdosproblems.ai/wiki/problems/additive_bases/E0337 https://erdosproblems.ai/wiki/problems/additive_bases/E0337/claims/1984_01_01_turjanyi https://erdosproblems.ai/wiki/problems/additive_bases/E0337/claims/1985_01_01_ruzsa_turjanyi https://erdosproblems.ai/wiki/problems/additive_bases/E0337/claims https://erdosproblems.ai/wiki/problems/additive_bases/E0338 https://erdosproblems.ai/wiki/problems/additive_bases/E0338/claims/1957_04_01_kelly https://erdosproblems.ai/wiki/problems/additive_bases/E0338/claims/2005_03_01_hennecart https://erdosproblems.ai/wiki/problems/additive_bases/E0338/claims/2026_07_28_white https://erdosproblems.ai/wiki/problems/additive_bases/E0338/claims/2026_10_01_veljjanoski https://erdosproblems.ai/wiki/problems/additive_bases/E0338/claims https://erdosproblems.ai/wiki/problems/additive_bases/E0339 https://erdosproblems.ai/wiki/problems/additive_bases/E0339/claims/2003_01_07_hegyvari_hennecart_plagne https://erdosproblems.ai/wiki/problems/additive_bases/E0339/claims https://erdosproblems.ai/wiki/problems/additive_bases/E0340 https://erdosproblems.ai/wiki/problems/additive_bases/E0343 https://erdosproblems.ai/wiki/problems/additive_bases/E0343/claims/1966_01_01_folkman https://erdosproblems.ai/wiki/problems/additive_bases/E0343/claims/2005_07_26_szemeredi_vu https://erdosproblems.ai/wiki/problems/additive_bases/E0343/claims https://erdosproblems.ai/wiki/problems/additive_bases/E0344 https://erdosproblems.ai/wiki/problems/additive_bases/E0344/claims/1966_01_01_folkman https://erdosproblems.ai/wiki/problems/additive_bases/E0344/claims/2003_01_01_chen https://erdosproblems.ai/wiki/problems/additive_bases/E0344/claims/2005_07_26_szemeredi_vu https://erdosproblems.ai/wiki/problems/additive_bases/E0344/claims https://erdosproblems.ai/wiki/problems/additive_bases/E0345 https://erdosproblems.ai/wiki/problems/additive_bases/E0346 https://erdosproblems.ai/wiki/problems/additive_bases/E0346/claims/2026_06_19_price https://erdosproblems.ai/wiki/problems/additive_bases/E0346/claims/2026_06_21_kitamura https://erdosproblems.ai/wiki/problems/additive_bases/E0346/claims https://erdosproblems.ai/wiki/problems/additive_bases/E0347 https://erdosproblems.ai/wiki/problems/additive_bases/E0347/claims/2026_01_21_barschkis https://erdosproblems.ai/wiki/problems/additive_bases/E0347/claims https://erdosproblems.ai/wiki/problems/additive_bases/E0348 https://erdosproblems.ai/wiki/problems/additive_bases/E0348/claims/2026_09_09_geneson https://erdosproblems.ai/wiki/problems/additive_bases/E0348/claims https://erdosproblems.ai/wiki/problems/additive_bases/E0349 https://erdosproblems.ai/wiki/problems/additive_bases/E0349/claims/1964_01_01_graham https://erdosproblems.ai/wiki/problems/additive_bases/E0349/claims/2025_09_08_van_doorn https://erdosproblems.ai/wiki/problems/additive_bases/E0349/claims/2026_03_09_sothanaphan https://erdosproblems.ai/wiki/problems/additive_bases/E0349/claims/2026_06_10_cepadugato https://erdosproblems.ai/wiki/problems/additive_bases/E0349/claims/2026_09_05_kitamura https://erdosproblems.ai/wiki/problems/additive_bases/E0349/claims/2026_09_06_geneson https://erdosproblems.ai/wiki/problems/additive_bases/E0349/claims https://erdosproblems.ai/wiki/problems/additive_bases/E0351 https://erdosproblems.ai/wiki/problems/additive_bases/E0351/claims/1963_03_17_graham https://erdosproblems.ai/wiki/problems/additive_bases/E0351/claims/2025_09_15_van_doorn https://erdosproblems.ai/wiki/problems/additive_bases/E0351/claims/2026_05_03_price_barreto https://erdosproblems.ai/wiki/problems/additive_bases/E0351/claims https://erdosproblems.ai/wiki/problems/additive_bases/E0354 https://erdosproblems.ai/wiki/problems/additive_bases/E0354/claims/1989_03_01_hegyvari https://erdosproblems.ai/wiki/problems/additive_bases/E0354/claims/2026_09_05_kitamura https://erdosproblems.ai/wiki/problems/additive_bases/E0354/claims/2026_09_11_jenw1n https://erdosproblems.ai/wiki/problems/additive_bases/E0354/claims/2026_09_13_yu_chen https://erdosproblems.ai/wiki/problems/additive_bases/E0354/claims/2026_09_20_geneson https://erdosproblems.ai/wiki/problems/additive_bases/E0354/claims https://erdosproblems.ai/wiki/problems/additive_bases/E0358 https://erdosproblems.ai/wiki/problems/additive_bases/E0358/claims/2026_02_11_chojecki https://erdosproblems.ai/wiki/problems/additive_bases/E0358/claims/2026_02_18_sothanaphan https://erdosproblems.ai/wiki/problems/additive_bases/E0358/claims/2026_02_23_tao https://erdosproblems.ai/wiki/problems/additive_bases/E0358/claims https://erdosproblems.ai/wiki/problems/additive_bases/E0425 https://erdosproblems.ai/wiki/problems/additive_bases/E0530 https://erdosproblems.ai/wiki/problems/additive_bases/E0530/claims/1975_01_01_komlos_sulyok_szemeredi https://erdosproblems.ai/wiki/problems/additive_bases/E0530/claims https://erdosproblems.ai/wiki/problems/additive_bases/E0707 https://erdosproblems.ai/wiki/problems/additive_bases/E0707/claims/1947_12_01_hall https://erdosproblems.ai/wiki/problems/additive_bases/E0707/claims/2025_10_22_alexeev_mixon https://erdosproblems.ai/wiki/problems/additive_bases/E0707/claims https://erdosproblems.ai/wiki/problems/additive_bases/E0757 https://erdosproblems.ai/wiki/problems/additive_bases/E0772 https://erdosproblems.ai/wiki/problems/additive_bases/E0772/claims/1985_09_01_alon_erdos https://erdosproblems.ai/wiki/problems/additive_bases/E0772/claims https://erdosproblems.ai/wiki/problems/additive_bases/E0773 https://erdosproblems.ai/wiki/problems/additive_bases/E0840 https://erdosproblems.ai/wiki/problems/additive_bases/E0861 https://erdosproblems.ai/wiki/problems/additive_bases/E0861/claims/2012_04_30_saxton_thomason https://erdosproblems.ai/wiki/problems/additive_bases/E0861/claims https://erdosproblems.ai/wiki/problems/additive_bases/E0862 https://erdosproblems.ai/wiki/problems/additive_bases/E0862/claims/2012_04_30_saxton_thomason https://erdosproblems.ai/wiki/problems/additive_bases/E0862/claims https://erdosproblems.ai/wiki/problems/additive_bases/E0863 https://erdosproblems.ai/wiki/problems/additive_bases/E0863/claims/2026_04_22_ho https://erdosproblems.ai/wiki/problems/additive_bases/E0863/claims https://erdosproblems.ai/wiki/problems/additive_bases/E0864 https://erdosproblems.ai/wiki/problems/additive_bases/E0868 https://erdosproblems.ai/wiki/problems/additive_bases/E0868/claims/2026_01_13_larsen_larsen https://erdosproblems.ai/wiki/problems/additive_bases/E0868/claims https://erdosproblems.ai/wiki/problems/additive_bases/E0869 https://erdosproblems.ai/wiki/problems/additive_bases/E0869/claims/2026_01_25_larsen https://erdosproblems.ai/wiki/problems/additive_bases/E0869/claims https://erdosproblems.ai/wiki/problems/additive_bases/E0870 https://erdosproblems.ai/wiki/problems/additive_bases/E0870/claims/2026_04_24_turturean https://erdosproblems.ai/wiki/problems/additive_bases/E0870/claims https://erdosproblems.ai/wiki/problems/additive_bases/E0871 https://erdosproblems.ai/wiki/problems/additive_bases/E0871/claims/2026_01_05_larsen https://erdosproblems.ai/wiki/problems/additive_bases/E0871/claims https://erdosproblems.ai/wiki/problems/additive_bases/E0880 https://erdosproblems.ai/wiki/problems/additive_bases/E0880/claims/2007_09_01_hegyvari_hennecart_plagne https://erdosproblems.ai/wiki/problems/additive_bases/E0880/claims https://erdosproblems.ai/wiki/problems/additive_bases/E0881 https://erdosproblems.ai/wiki/problems/additive_bases/E0881/claims/2026_05_03_svyable https://erdosproblems.ai/wiki/problems/additive_bases/E0881/claims https://erdosproblems.ai/wiki/problems/additive_bases/E1145 https://erdosproblems.ai/wiki/problems/additive_bases/E1147 https://erdosproblems.ai/wiki/problems/additive_bases/E1147/claims/2015_04_09_konieczny https://erdosproblems.ai/wiki/problems/additive_bases/E1147/claims https://erdosproblems.ai/wiki/problems/additive_bases/E1191 https://erdosproblems.ai/wiki/problems/additive_bases/E1192 https://erdosproblems.ai/wiki/problems/additive_bases/E1192/claims/1990_06_01_ruzsa https://erdosproblems.ai/wiki/problems/additive_bases/E1192/claims https://erdosproblems.ai/wiki/problems/additive_bases/E1194 https://erdosproblems.ai/wiki/problems/additive_bases/E1194/claims/2004_11_03_lev https://erdosproblems.ai/wiki/problems/additive_bases/E1194/claims/2026_04_23_price https://erdosproblems.ai/wiki/problems/additive_bases/E1194/claims/2026_05_02_mazur https://erdosproblems.ai/wiki/problems/additive_bases/E1194/claims https://erdosproblems.ai/wiki/problems/additive_bases/E1206 https://erdosproblems.ai/wiki/problems/additive_bases https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0001 https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0001/claims/2026_09_03_adamczewski https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0001/claims/2026_09_15_alexeev https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0001/claims https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0003 https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0003/claims/2004_04_08_green_tao https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0003/claims/2020_07_07_bloom_sisask https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0003/claims/2026_09_23_openai https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0003/claims https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0036 https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0036/claims/2022_01_14_white https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0036/claims/2026_01_22_yuksekgonul_et_al https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0036/claims/2026_06_30_kim_pilanci https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0036/claims/2026_07_12_russell https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0036/claims/2026_07_20_price https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0036/claims/2026_09_19_drynshock https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0036/claims https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0037 https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0037/claims/1987_01_01_ruzsa https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0037/claims https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0052 https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0053 https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0053/claims/2003_05_01_chang https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0053/claims https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0109 https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0109/claims/2018_03_01_moreira_richter_robertson https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0109/claims https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0138 https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0138/claims/2026_04_10_deepmind https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0138/claims/2026_04_10_sothanaphan https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0138/claims/2026_08_21_campos_fox_schildkraut https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0138/claims/2026_08_28_meta https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0138/claims/2026_09_23_openai https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0138/claims https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0139 https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0139/claims/1975_01_01_szemeredi https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0139/claims/2017_05_04_green_tao https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0139/claims/2023_02_10_kelley_meka https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0139/claims/2023_09_05_bloom_sisask https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0139/claims/2024_02_28_leng_sah_sawhney https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0139/claims/2026_09_23_openai https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0139/claims https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0140 https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0140/claims/2023_02_10_kelley_meka https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0140/claims/2026_09_23_openai https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0140/claims https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0141 https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0141/claims/1958_01_01_schinzel_sierpinski https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0141/claims/2001_11_28_dubner_forbes_lygeros_mizony_nelson_zimmermann https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0141/claims https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0142 https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0160 https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0160/claims/2026_07_14_itabe https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0160/claims/2026_07_22_shi_dong https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0160/claims https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0168 https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0168/claims/1977_01_01_graham_witsenhausen_spencer https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0168/claims https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0169 https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0169/claims/1968_08_01_berlekamp https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0169/claims/1977_02_01_gerver https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0169/claims/1984_07_01_wroblewski https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0169/claims/2022_03_11_walker https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0169/claims/2026_09_23_openai https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0169/claims/2026_09_26_kiichi https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0169/claims https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0170 https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0170/claims/1948_10_30_erdos_gal https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0170/claims/1956_04_01_leech https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0170/claims/1963_01_01_wichmann https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0170/claims https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0171 https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0171/claims/1991_12_01_furstenberg_katznelson https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0171/claims/2009_10_20_polymath https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0171/claims/2012_09_22_dodos_kanellopoulos_tyros https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0171/claims https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0179 https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0179/claims/2019_08_26_fox_pohoata https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0179/claims https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0185 https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0185/claims/1991_12_01_furstenberg_katznelson https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0185/claims/2012_09_22_dodos_kanellopoulos_tyros https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0185/claims https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0186 https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0186/claims/1989_03_01_bosznay https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0186/claims/2024_10_18_pham_zakharov https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0186/claims https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0190 https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0190/claims/2026_04_22_bae https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0190/claims/2026_06_01_fox_hunter https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0190/claims https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0192 https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0192/claims/1992_07_13_keranen https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0192/claims https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0194 https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0194/claims/2011_12_01_ardal_brown_jungic https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0194/claims https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0195 https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0195/claims/2018_03_15_geneson https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0195/claims/2022_11_05_adenwalla https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0195/claims https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0196 https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0196/claims/2026_09_09_kruer_kohlmeyer https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0196/claims/2026_09_11_ho https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0196/claims https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0197 https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0198 https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0198/claims/1975_03_01_baumgartner https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0198/claims/2025_05_15_deepmind https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0198/claims/2025_09_02_dutta https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0198/claims https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0199 https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0199/claims/1975_03_01_baumgartner https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0199/claims https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0200 https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0201 https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0219 https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0219/claims/2004_04_08_green_tao https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0219/claims/2026_09_23_openai https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0219/claims https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0245 https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0245/claims/1973_01_01_freiman https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0245/claims https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0271 https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0271/claims/1978_01_01_odlyzko_stanley https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0271/claims/2014_08_08_rolnick https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0271/claims https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0272 https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0272/claims/1981_12_01_simonovits_sos https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0272/claims/1999_07_01_szabo https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0272/claims/2026_07_25_yang https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0272/claims/2026_09_09_jenw1n https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0272/claims https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0328 https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0328/claims/1980_03_01_erdos https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0328/claims/1985_01_01_nesetril_rodl https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0328/claims/2026_06_18_axiommath https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0328/claims https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0331 https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0331/claims/1984_02_01_erdos_freud https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0331/claims/2024_06_19_ruzsa https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0331/claims https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0335 https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0335/claims/2026_04_14_ackelsberg_richter https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0335/claims https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0350 https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0350/claims/1974_04_01_benkoski_erdos https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0350/claims/1977_09_01_hanson_steele_stenger https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0350/claims https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0475 https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0475/claims/2005_08_10_bode_harborth https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0475/claims/2018_09_07_hicks_ollis_schmitt https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0475/claims/2020_03_12_costa_pellegrini https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0475/claims/2024_07_01_kravitz https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0475/claims/2024_09_11_bedert_kravitz https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0475/claims/2026_02_17_pham_sauermann https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0475/claims https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0476 https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0476/claims/1994_03_01_dias_da_silva_hamidoune https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0476/claims/1995_03_01_alon_nathanson_ruzsa https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0476/claims https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0494 https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0494/claims/1958_12_01_selfridge_straus https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0494/claims/1962_03_01_gordon_fraenkel_straus https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0494/claims/2026_08_16_alexeev https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0494/claims https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0656 https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0656/claims/2022_06_24_kra_moreira_richter_robertson https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0656/claims https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0658 https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0658/claims/1991_12_01_furstenberg_katznelson https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0658/claims/2004_03_01_solymosi https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0658/claims https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0741 https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0741/claims/2026_03_31_alexeev_putterman_sawhney_sellke_valiant https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0741/claims/2026_03_31_firsching https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0741/claims/2026_04_24_chojecki https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0741/claims https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0749 https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0763 https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0763/claims/1956_01_01_erdos_fuchs https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0763/claims/1990_01_01_montgomery_vaughan https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0763/claims https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0764 https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0764/claims/1972_02_01_vaughan https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0764/claims https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0781 https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0781/claims/1989_11_01_alon_spencer https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0781/claims https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0785 https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0785/claims/1994_09_01_sarkozy_szemeredi https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0785/claims/2010_02_05_fang_chen https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0785/claims/2014_08_01_fang_chen https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0785/claims/2015_01_01_chen_fang https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0785/claims/2015_10_03_ruzsa https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0785/claims/2026_08_05_van_doorn_liu_tang https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0785/claims https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0787 https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0787/claims/1971_12_01_choi https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0787/claims/2005_03_01_ruzsa https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0787/claims/2018_04_10_sanders https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0787/claims/2025_01_17_beker https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0787/claims https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0788 https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0788/claims/1971_12_01_choi https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0788/claims/2000_01_01_baltz_schoen_srivastav https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0788/claims/2026_07_19_wang https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0788/claims https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0789 https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0789/claims/1962_01_01_erdos https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0789/claims/1966_01_01_straus https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0789/claims/1974_04_01_choi https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0789/claims/2026_09_12_korsky https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0789/claims https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0790 https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0790/claims/1973_06_01_choi https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0790/claims/1975_01_01_choi_komlos_szemeredi https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0790/claims/2026_09_13_korsky https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0790/claims https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0791 https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0791/claims/1937_12_01_rohrbach https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0791/claims/1976_11_01_hammerer_hofmeister https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0791/claims/1979_04_01_mrose https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0791/claims/2015_11_01_yu https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0791/claims/2016_06_15_kohonen https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0791/claims https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0792 https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0792/claims/1965_01_01_erdos https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0792/claims/1990_01_01_alon_kleitman https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0792/claims/1997_12_01_bourgain https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0792/claims/2013_01_19_eberhard_green_manners https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0792/claims/2025_02_12_bedert https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0792/claims/2026_09_09_bedert https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0792/claims https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0806 https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0806/claims/2007_11_10_alon_bukh_sudakov https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0806/claims https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0808 https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0808/claims/2018_02_18_alon_ruzsa_solymosi https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0808/claims https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0817 https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0817/claims/1992_01_01_erdos_sarkozy https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0817/claims/2026_06_23_korsky https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0817/claims/2026_09_05_costa https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0817/claims https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0818 https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0818/claims/2008_06_05_solymosi https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0818/claims https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0819 https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0819/claims/1991_01_01_erdos_freud https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0819/claims/2026_05_15_liu https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0819/claims https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0847 https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0847/claims/2023_11_14_reiher_rodl_sales https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0847/claims https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0865 https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0865/claims/2026_06_28_cipollini https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0865/claims https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0866 https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0866/claims/1975_01_01_choi_erdos_szemeredi https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0866/claims/2026_04_28_van_doorn https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0866/claims/2026_07_08_erlbacher https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0866/claims https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0867 https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0867/claims/1993_01_01_freud https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0867/claims/1996_05_01_coppersmith_phillips https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0867/claims https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0874 https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0874/claims/1995_02_01_deshouillers_freiman https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0874/claims/1999_01_01_deshouillers_freiman https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0874/claims https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0875 https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0875/claims/2026_05_07_mazur https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0875/claims https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0876 https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0876/claims/2026_07_18_price https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0876/claims/2026_09_22_korsky https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0876/claims https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0877 https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0877/claims/2000_12_28_luczak_schoen https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0877/claims/2009_04_09_wolfovitz https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0877/claims/2014_09_19_balogh_liu_sharifzadeh_treglown https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0877/claims/2015_02_26_balogh_liu_sharifzadeh_treglown https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0877/claims https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0895 https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0895/claims/2025_04_06_barber https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0895/claims https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0899 https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0899/claims/1978_01_01_ruzsa https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0899/claims https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0984 https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0984/claims/2025_08_10_hunter https://erdosproblems.ai/wiki/problems/additive_combinatorics/E0984/claims https://erdosproblems.ai/wiki/problems/additive_combinatorics/E1097 https://erdosproblems.ai/wiki/problems/additive_combinatorics/E1097/claims/1999_06_14_katz_tao https://erdosproblems.ai/wiki/problems/additive_combinatorics/E1097/claims/2014_04_14_lemm https://erdosproblems.ai/wiki/problems/additive_combinatorics/E1097/claims/2026_05_28_firsching https://erdosproblems.ai/wiki/problems/additive_combinatorics/E1097/claims https://erdosproblems.ai/wiki/problems/additive_combinatorics/E1112 https://erdosproblems.ai/wiki/problems/additive_combinatorics/E1112/claims/1997_10_01_bollobas_hegyvari_jin https://erdosproblems.ai/wiki/problems/additive_combinatorics/E1112/claims/2026_07_06_land https://erdosproblems.ai/wiki/problems/additive_combinatorics/E1112/claims https://erdosproblems.ai/wiki/problems/additive_combinatorics/E1179 https://erdosproblems.ai/wiki/problems/additive_combinatorics/E1179/claims/1965_12_01_erdos_renyi https://erdosproblems.ai/wiki/problems/additive_combinatorics/E1179/claims/1976_01_01_erdos_hall https://erdosproblems.ai/wiki/problems/additive_combinatorics/E1179/claims https://erdosproblems.ai/wiki/problems/additive_combinatorics/E1185 https://erdosproblems.ai/wiki/problems/additive_combinatorics/E1185/claims/1981_01_01_furstenberg https://erdosproblems.ai/wiki/problems/additive_combinatorics/E1185/claims https://erdosproblems.ai/wiki/problems/additive_combinatorics/E1186 https://erdosproblems.ai/wiki/problems/additive_combinatorics/E1186/claims/2006_09_19_parrilo_robertson_saracino https://erdosproblems.ai/wiki/problems/additive_combinatorics/E1186/claims/2026_10_05_toledo https://erdosproblems.ai/wiki/problems/additive_combinatorics/E1186/claims https://erdosproblems.ai/wiki/problems/additive_combinatorics/E1187 https://erdosproblems.ai/wiki/problems/additive_combinatorics/E1187/claims/2004_04_08_green_tao https://erdosproblems.ai/wiki/problems/additive_combinatorics/E1187/claims/2026_04_08_bloom https://erdosproblems.ai/wiki/problems/additive_combinatorics/E1187/claims/2026_05_12_kitamura https://erdosproblems.ai/wiki/problems/additive_combinatorics/E1187/claims https://erdosproblems.ai/wiki/problems/additive_combinatorics/E1193 https://erdosproblems.ai/wiki/problems/additive_combinatorics/E1193/claims/2026_04_13_monticone https://erdosproblems.ai/wiki/problems/additive_combinatorics/E1193/claims https://erdosproblems.ai/wiki/problems/additive_combinatorics/E1213 https://erdosproblems.ai/wiki/problems/additive_combinatorics/E1213/claims/1986_03_01_hegyvari https://erdosproblems.ai/wiki/problems/additive_combinatorics/E1213/claims https://erdosproblems.ai/wiki/problems/additive_combinatorics https://erdosproblems.ai/wiki/problems/analysis/E0120 https://erdosproblems.ai/wiki/problems/analysis/E0120/claims/2020_01_08_cruz_lai_pramanik https://erdosproblems.ai/wiki/problems/analysis/E0120/claims/2026_07_03_mora_cuellar_iosevich_kulkarni_rojas_aravena_yavicoli https://erdosproblems.ai/wiki/problems/analysis/E0120/claims/2026_09_03_iosevich_kulkarni_mora_cuellar_rojas_aravena_yavicoli https://erdosproblems.ai/wiki/problems/analysis/E0120/claims/2026_09_25_openai https://erdosproblems.ai/wiki/problems/analysis/E0120/claims/2026_10_05_openai https://erdosproblems.ai/wiki/problems/analysis/E0120/claims https://erdosproblems.ai/wiki/problems/analysis/E0225 https://erdosproblems.ai/wiki/problems/analysis/E0225/claims/1974_05_01_kristiansen https://erdosproblems.ai/wiki/problems/analysis/E0225/claims/1974_11_01_saff_sheil_small https://erdosproblems.ai/wiki/problems/analysis/E0225/claims https://erdosproblems.ai/wiki/problems/analysis/E0226 https://erdosproblems.ai/wiki/problems/analysis/E0226/claims/1970_10_01_barth_schneider https://erdosproblems.ai/wiki/problems/analysis/E0226/claims https://erdosproblems.ai/wiki/problems/analysis/E0227 https://erdosproblems.ai/wiki/problems/analysis/E0227/claims/1964_12_01_clunie_hayman https://erdosproblems.ai/wiki/problems/analysis/E0227/claims https://erdosproblems.ai/wiki/problems/analysis/E0229 https://erdosproblems.ai/wiki/problems/analysis/E0229/claims/1972_03_01_barth_schneider https://erdosproblems.ai/wiki/problems/analysis/E0229/claims https://erdosproblems.ai/wiki/problems/analysis/E0256 https://erdosproblems.ai/wiki/problems/analysis/E0256/claims/1996_12_01_belov_konyagin https://erdosproblems.ai/wiki/problems/analysis/E0256/claims https://erdosproblems.ai/wiki/problems/analysis/E0395 https://erdosproblems.ai/wiki/problems/analysis/E0395/claims/1983_03_01_beck https://erdosproblems.ai/wiki/problems/analysis/E0395/claims/2024_08_20_he_juskevicius_narayanan_spiro https://erdosproblems.ai/wiki/problems/analysis/E0395/claims https://erdosproblems.ai/wiki/problems/analysis/E0498 https://erdosproblems.ai/wiki/problems/analysis/E0498/claims/1945_12_01_erdos https://erdosproblems.ai/wiki/problems/analysis/E0498/claims/1965_08_01_kleitman https://erdosproblems.ai/wiki/problems/analysis/E0498/claims/1970_08_01_kleitman https://erdosproblems.ai/wiki/problems/analysis/E0498/claims https://erdosproblems.ai/wiki/problems/analysis/E0510 https://erdosproblems.ai/wiki/problems/analysis/E0510/claims https://erdosproblems.ai/wiki/problems/analysis/E0511 https://erdosproblems.ai/wiki/problems/analysis/E0511/claims/1961_01_01_pommerenke https://erdosproblems.ai/wiki/problems/analysis/E0511/claims/2025_09_15_huang https://erdosproblems.ai/wiki/problems/analysis/E0511/claims https://erdosproblems.ai/wiki/problems/analysis/E0512 https://erdosproblems.ai/wiki/problems/analysis/E0512/claims/1981_01_01_konyagin https://erdosproblems.ai/wiki/problems/analysis/E0512/claims/1981_05_01_mcgehee_pigno_smith https://erdosproblems.ai/wiki/problems/analysis/E0512/claims https://erdosproblems.ai/wiki/problems/analysis/E0513 https://erdosproblems.ai/wiki/problems/analysis/E0513/claims/1964_12_01_clunie_hayman https://erdosproblems.ai/wiki/problems/analysis/E0513/claims/2026_02_12_he_tang https://erdosproblems.ai/wiki/problems/analysis/E0513/claims/2026_02_27_sothanaphan https://erdosproblems.ai/wiki/problems/analysis/E0513/claims/2026_08_02_lystad https://erdosproblems.ai/wiki/problems/analysis/E0513/claims https://erdosproblems.ai/wiki/problems/analysis/E0514 https://erdosproblems.ai/wiki/problems/analysis/E0514/claims/1984_12_01_lewis_rossi_weitsman https://erdosproblems.ai/wiki/problems/analysis/E0514/claims/2026_04_20_chojecki https://erdosproblems.ai/wiki/problems/analysis/E0514/claims/2026_04_28_oriike https://erdosproblems.ai/wiki/problems/analysis/E0514/claims https://erdosproblems.ai/wiki/problems/analysis/E0515 https://erdosproblems.ai/wiki/problems/analysis/E0515/claims/1977_01_01_zhang https://erdosproblems.ai/wiki/problems/analysis/E0515/claims/1984_12_01_lewis_rossi_weitsman https://erdosproblems.ai/wiki/problems/analysis/E0515/claims https://erdosproblems.ai/wiki/problems/analysis/E0516 https://erdosproblems.ai/wiki/problems/analysis/E0516/claims/1954_12_01_erdos_macintyre https://erdosproblems.ai/wiki/problems/analysis/E0516/claims/1963_12_01_fuchs https://erdosproblems.ai/wiki/problems/analysis/E0516/claims/1965_06_01_kovari https://erdosproblems.ai/wiki/problems/analysis/E0516/claims https://erdosproblems.ai/wiki/problems/analysis/E0517 https://erdosproblems.ai/wiki/problems/analysis/E0517/claims/1927_01_01_biernacki https://erdosproblems.ai/wiki/problems/analysis/E0517/claims/1929_12_01_polya https://erdosproblems.ai/wiki/problems/analysis/E0517/claims/1983_01_01_murai https://erdosproblems.ai/wiki/problems/analysis/E0517/claims https://erdosproblems.ai/wiki/problems/analysis/E0519 https://erdosproblems.ai/wiki/problems/analysis/E0519/claims/1961_01_01_atkinson https://erdosproblems.ai/wiki/problems/analysis/E0519/claims/1994_09_01_biro https://erdosproblems.ai/wiki/problems/analysis/E0519/claims/2000_09_25_biro https://erdosproblems.ai/wiki/problems/analysis/E0519/claims https://erdosproblems.ai/wiki/problems/analysis/E0527 https://erdosproblems.ai/wiki/problems/analysis/E0527/claims/2025_09_02_michelen_sawhney https://erdosproblems.ai/wiki/problems/analysis/E0527/claims https://erdosproblems.ai/wiki/problems/analysis/E0671 https://erdosproblems.ai/wiki/problems/analysis/E0671/claims/1958_09_01_erdos https://erdosproblems.ai/wiki/problems/analysis/E0671/claims/2026_06_22_price https://erdosproblems.ai/wiki/problems/analysis/E0671/claims/2026_07_24_quietmethod https://erdosproblems.ai/wiki/problems/analysis/E0671/claims https://erdosproblems.ai/wiki/problems/analysis/E0906 https://erdosproblems.ai/wiki/problems/analysis/E0906/claims/2026_04_25_almeida https://erdosproblems.ai/wiki/problems/analysis/E0906/claims/2026_04_25_chojecki https://erdosproblems.ai/wiki/problems/analysis/E0906/claims/2026_07_21_hou https://erdosproblems.ai/wiki/problems/analysis/E0906/claims/2026_09_17_he https://erdosproblems.ai/wiki/problems/analysis/E0906/claims https://erdosproblems.ai/wiki/problems/analysis/E0907 https://erdosproblems.ai/wiki/problems/analysis/E0907/claims/1951_01_01_debruijn https://erdosproblems.ai/wiki/problems/analysis/E0907/claims https://erdosproblems.ai/wiki/problems/analysis/E0908 https://erdosproblems.ai/wiki/problems/analysis/E0908/claims/1980_03_01_laczkovich https://erdosproblems.ai/wiki/problems/analysis/E0908/claims https://erdosproblems.ai/wiki/problems/analysis/E0909 https://erdosproblems.ai/wiki/problems/analysis/E0909/claims/1967_01_24_anderson_keisler https://erdosproblems.ai/wiki/problems/analysis/E0909/claims https://erdosproblems.ai/wiki/problems/analysis/E0910 https://erdosproblems.ai/wiki/problems/analysis/E0910/claims/1958_01_01_rudin https://erdosproblems.ai/wiki/problems/analysis/E0910/claims https://erdosproblems.ai/wiki/problems/analysis/E0967 https://erdosproblems.ai/wiki/problems/analysis/E0967/claims/2025_12_18_yip https://erdosproblems.ai/wiki/problems/analysis/E0967/claims https://erdosproblems.ai/wiki/problems/analysis/E0973 https://erdosproblems.ai/wiki/problems/analysis/E0973/claims/2026_07_15_luo_yang_zhu https://erdosproblems.ai/wiki/problems/analysis/E0973/claims/2026_08_03_tan_wang_huang_chen https://erdosproblems.ai/wiki/problems/analysis/E0973/claims https://erdosproblems.ai/wiki/problems/analysis/E0974 https://erdosproblems.ai/wiki/problems/analysis/E0974/claims/1966_01_01_tijdeman https://erdosproblems.ai/wiki/problems/analysis/E0974/claims https://erdosproblems.ai/wiki/problems/analysis/E0990 https://erdosproblems.ai/wiki/problems/analysis/E0990/claims/2026_04_08_alexeev_putterman_sawhney_sellke_valiant https://erdosproblems.ai/wiki/problems/analysis/E0990/claims https://erdosproblems.ai/wiki/problems/analysis/E0996 https://erdosproblems.ai/wiki/problems/analysis/E0996/claims/1936_01_01_raikov https://erdosproblems.ai/wiki/problems/analysis/E0996/claims/2026_04_20_ho https://erdosproblems.ai/wiki/problems/analysis/E0996/claims/2026_09_26_yang https://erdosproblems.ai/wiki/problems/analysis/E0996/claims https://erdosproblems.ai/wiki/problems/analysis/E1038 https://erdosproblems.ai/wiki/problems/analysis/E1038/claims/1966_01_01_elbert https://erdosproblems.ai/wiki/problems/analysis/E1038/claims/2025_12_21_tao https://erdosproblems.ai/wiki/problems/analysis/E1038/claims/2026_07_14_wang https://erdosproblems.ai/wiki/problems/analysis/E1038/claims/2026_07_15_darvas_peng_tao https://erdosproblems.ai/wiki/problems/analysis/E1038/claims/2026_08_24_budala https://erdosproblems.ai/wiki/problems/analysis/E1038/claims https://erdosproblems.ai/wiki/problems/analysis/E1040 https://erdosproblems.ai/wiki/problems/analysis/E1040/claims/1958_12_01_erdos_herzog_piranian https://erdosproblems.ai/wiki/problems/analysis/E1040/claims/2024_02_03_krishnapur_lundberg_ramachandran https://erdosproblems.ai/wiki/problems/analysis/E1040/claims/2025_03_24_krishnapur_lundberg_ramachandran https://erdosproblems.ai/wiki/problems/analysis/E1040/claims/2026_01_29_feng https://erdosproblems.ai/wiki/problems/analysis/E1040/claims/2026_04_03_ghosh_ramachandran https://erdosproblems.ai/wiki/problems/analysis/E1040/claims/2026_09_05_tzachristas https://erdosproblems.ai/wiki/problems/analysis/E1040/claims/2026_09_06_gessel https://erdosproblems.ai/wiki/problems/analysis/E1040/claims/2026_09_06_kitamura https://erdosproblems.ai/wiki/problems/analysis/E1040/claims/2026_09_06_shlummi https://erdosproblems.ai/wiki/problems/analysis/E1040/claims https://erdosproblems.ai/wiki/problems/analysis/E1042 https://erdosproblems.ai/wiki/problems/analysis/E1042/claims/2023_12_21_ghosh_ramachandran https://erdosproblems.ai/wiki/problems/analysis/E1042/claims https://erdosproblems.ai/wiki/problems/analysis/E1043 https://erdosproblems.ai/wiki/problems/analysis/E1043/claims/1961_01_01_pommerenke https://erdosproblems.ai/wiki/problems/analysis/E1043/claims/2025_12_28_alexeev https://erdosproblems.ai/wiki/problems/analysis/E1043/claims https://erdosproblems.ai/wiki/problems/analysis/E1044 https://erdosproblems.ai/wiki/problems/analysis/E1044/claims/2026_01_05_tang https://erdosproblems.ai/wiki/problems/analysis/E1044/claims https://erdosproblems.ai/wiki/problems/analysis/E1045 https://erdosproblems.ai/wiki/problems/analysis/E1045/claims/1967_04_01_danzer_pommerenke https://erdosproblems.ai/wiki/problems/analysis/E1045/claims/2025_10_03_hu_tang https://erdosproblems.ai/wiki/problems/analysis/E1045/claims/2026_03_07_cambie_decadt_dong_hu_tang https://erdosproblems.ai/wiki/problems/analysis/E1045/claims/2026_09_11_coleski https://erdosproblems.ai/wiki/problems/analysis/E1045/claims/2026_09_22_hu https://erdosproblems.ai/wiki/problems/analysis/E1045/claims https://erdosproblems.ai/wiki/problems/analysis/E1046 https://erdosproblems.ai/wiki/problems/analysis/E1046/claims/1959_01_01_pommerenke https://erdosproblems.ai/wiki/problems/analysis/E1046/claims https://erdosproblems.ai/wiki/problems/analysis/E1047 https://erdosproblems.ai/wiki/problems/analysis/E1047/claims/1961_01_01_pommerenke https://erdosproblems.ai/wiki/problems/analysis/E1047/claims/1966_04_01_goodman https://erdosproblems.ai/wiki/problems/analysis/E1047/claims/2026_01_21_alexeev https://erdosproblems.ai/wiki/problems/analysis/E1047/claims https://erdosproblems.ai/wiki/problems/analysis/E1048 https://erdosproblems.ai/wiki/problems/analysis/E1048/claims/1961_01_01_pommerenke https://erdosproblems.ai/wiki/problems/analysis/E1048/claims/2026_01_28_alexeev https://erdosproblems.ai/wiki/problems/analysis/E1048/claims https://erdosproblems.ai/wiki/problems/analysis/E1115 https://erdosproblems.ai/wiki/problems/analysis/E1115/claims/1960_12_01_hayman https://erdosproblems.ai/wiki/problems/analysis/E1115/claims/1979_01_01_goldberg_eremenko https://erdosproblems.ai/wiki/problems/analysis/E1115/claims/1980_02_01_toppila https://erdosproblems.ai/wiki/problems/analysis/E1115/claims https://erdosproblems.ai/wiki/problems/analysis/E1116 https://erdosproblems.ai/wiki/problems/analysis/E1116/claims/1976_01_01_toppila https://erdosproblems.ai/wiki/problems/analysis/E1116/claims/1978_01_01_goldberg https://erdosproblems.ai/wiki/problems/analysis/E1116/claims https://erdosproblems.ai/wiki/problems/analysis/E1117 https://erdosproblems.ai/wiki/problems/analysis/E1117/claims/1968_01_01_herzog_piranian https://erdosproblems.ai/wiki/problems/analysis/E1117/claims/2026_09_05_gu https://erdosproblems.ai/wiki/problems/analysis/E1117/claims https://erdosproblems.ai/wiki/problems/analysis/E1118 https://erdosproblems.ai/wiki/problems/analysis/E1118/claims/1977_01_01_camera https://erdosproblems.ai/wiki/problems/analysis/E1118/claims/1977_12_01_hansen https://erdosproblems.ai/wiki/problems/analysis/E1118/claims/1979_01_01_goldberg https://erdosproblems.ai/wiki/problems/analysis/E1118/claims https://erdosproblems.ai/wiki/problems/analysis/E1120 https://erdosproblems.ai/wiki/problems/analysis/E1120/claims/2026_06_17_pendyala https://erdosproblems.ai/wiki/problems/analysis/E1120/claims/2026_06_17_pendyala_radial https://erdosproblems.ai/wiki/problems/analysis/E1120/claims https://erdosproblems.ai/wiki/problems/analysis/E1125 https://erdosproblems.ai/wiki/problems/analysis/E1125/claims/1969_01_01_kemperman https://erdosproblems.ai/wiki/problems/analysis/E1125/claims/1984_01_01_laczkovich https://erdosproblems.ai/wiki/problems/analysis/E1125/claims https://erdosproblems.ai/wiki/problems/analysis/E1126 https://erdosproblems.ai/wiki/problems/analysis/E1126/claims/1965_08_01_jurkat https://erdosproblems.ai/wiki/problems/analysis/E1126/claims/1966_01_01_debruijn https://erdosproblems.ai/wiki/problems/analysis/E1126/claims https://erdosproblems.ai/wiki/problems/analysis/E1154 https://erdosproblems.ai/wiki/problems/analysis/E1154/claims/2016_03_31_mauldin https://erdosproblems.ai/wiki/problems/analysis/E1154/claims https://erdosproblems.ai/wiki/problems/analysis/E1164 https://erdosproblems.ai/wiki/problems/analysis/E1164/claims/1990_09_01_revesz https://erdosproblems.ai/wiki/problems/analysis/E1164/claims/2001_07_26_dembo_peres_rosen_zeitouni https://erdosproblems.ai/wiki/problems/analysis/E1164/claims/2026_08_26_alexeev https://erdosproblems.ai/wiki/problems/analysis/E1164/claims https://erdosproblems.ai/wiki/problems/analysis/E1165 https://erdosproblems.ai/wiki/problems/analysis/E1165/claims/2024_09_02_hao_li_okada_zheng https://erdosproblems.ai/wiki/problems/analysis/E1165/claims https://erdosproblems.ai/wiki/problems/analysis/E1166 https://erdosproblems.ai/wiki/problems/analysis/E1166/claims/2024_09_02_hao_li_okada_zheng https://erdosproblems.ai/wiki/problems/analysis/E1166/claims/2026_08_23_alexeev https://erdosproblems.ai/wiki/problems/analysis/E1166/claims https://erdosproblems.ai/wiki/problems/analysis/E1195 https://erdosproblems.ai/wiki/problems/analysis/E1195/claims/2026_04_19_ho https://erdosproblems.ai/wiki/problems/analysis/E1195/claims https://erdosproblems.ai/wiki/problems/analysis/E1197 https://erdosproblems.ai/wiki/problems/analysis/E1197/claims/2026_04_13_barschkis https://erdosproblems.ai/wiki/problems/analysis/E1197/claims https://erdosproblems.ai/wiki/problems/analysis/E1215 https://erdosproblems.ai/wiki/problems/analysis/E1215/claims/1954_10_16_maclane https://erdosproblems.ai/wiki/problems/analysis/E1215/claims https://erdosproblems.ai/wiki/problems/analysis/E1221 https://erdosproblems.ai/wiki/problems/analysis/E1221/claims/2026_09_08_korsky https://erdosproblems.ai/wiki/problems/analysis/E1221/claims https://erdosproblems.ai/wiki/problems/analysis https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0048 https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0048/claims/2009_06_18_ford_luca_pomerance https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0048/claims/2011_01_01_garaev https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0048/claims https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0050 https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0051 https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0051/claims/2026_01_11_colossal_noob https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0051/claims https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0122 https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0122/claims/1997_01_01_erdos_pomerance_sarkozy https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0122/claims https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0126 https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0126/claims/2026_09_03_adamczewski https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0126/claims/2026_09_04_johnvictor36 https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0126/claims https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0205 https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0205/claims/2026_01_11_barreto_leeham https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0205/claims/2026_01_11_tao_alexeev https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0205/claims https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0239 https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0239/claims/1967_09_01_wirsing https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0239/claims/1968_09_01_halasz https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0239/claims https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0248 https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0248/claims/2025_12_01_tao_teravainen https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0248/claims/2026_04_16_lau https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0248/claims https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0334 https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0334/claims/1989_09_01_balog https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0334/claims https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0367 https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0367/claims/2025_11_20_van_doorn https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0367/claims/2026_06_10_hughes https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0367/claims/2026_06_10_hughes_conditional https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0367/claims https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0368 https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0368/claims/1918_06_01_polya https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0368/claims/1935_01_01_mahler https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0368/claims/1967_01_01_schinzel https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0368/claims/2023_12_06_pasten https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0368/claims https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0369 https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0369/claims/1976_08_01_eggleton_selfridge https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0369/claims/1998_04_01_balog_wooley https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0369/claims/2017_10_05_bober_fretwell_martin_wooley https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0369/claims/2026_03_26_yang https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0369/claims https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0370 https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0370/claims/2025_10_17_steinerberger https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0370/claims https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0371 https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0371/claims/2021_01_20_wang https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0371/claims/2026_09_24_openai https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0371/claims https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0372 https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0372/claims/2001_05_01_balog https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0372/claims https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0380 https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0380/claims/2026_03_30_tao https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0380/claims/2026_08_26_alexeev https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0380/claims https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0382 https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0383 https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0383/claims https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0385 https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0385/claims/2024_08_19_tao https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0385/claims https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0408 https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0408/claims/1990_01_01_erdos_granville_pomerance_spiro https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0408/claims https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0409 https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0410 https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0411 https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0411/claims/2025_04_10_steinerberger https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0411/claims https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0412 https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0413 https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0413/claims/2026_04_16_lau https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0413/claims https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0414 https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0415 https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0415/claims/2012_09_19_pollack_pomerance_trevino https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0415/claims/2026_04_19_chojecki https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0415/claims https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0416 https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0416/claims/2026_09_14_kruer_kohlmeyer https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0416/claims/2026_09_25_openai https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0416/claims/2026_09_25_openai_formula https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0416/claims https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0417 https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0417/claims https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0418 https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0418/claims/1994_04_11_browkin_schinzel https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0418/claims/1999_07_02_flammenkamp_luca https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0418/claims/2004_09_14_banks_luca https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0418/claims https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0420 https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0452 https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0452/claims/2026_07_26_white https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0452/claims https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0456 https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0456/claims/2026_05_04_turturean https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0456/claims/2026_09_23_turturean https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0456/claims https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0491 https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0491/claims/1945_02_24_erdos https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0491/claims/1970_01_01_wirsing https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0491/claims https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0520 https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0520/claims/2026_07_29_korsky https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0520/claims/2026_07_31_durkan_pearce_crump https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0520/claims/2026_08_04_hoystad https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0520/claims https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0647 https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0647/claims/2026_01_18_agbanwa https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0647/claims https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0648 https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0648/claims/2025_03_13_cambie https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0648/claims https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0649 https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0649/claims/2025_01_16_sampaio https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0649/claims/2025_01_16_tong https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0649/claims/2026_02_07_alexeev https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0649/claims https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0663 https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0679 https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0679/claims/2026_01_11_dottedcalculator https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0679/claims/2026_04_16_lau https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0679/claims https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0690 https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0690/claims/2025_01_17_cambie https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0690/claims/2026_05_08_wang_crapis https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0690/claims https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0694 https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0694/claims/2026_05_01_price https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0694/claims https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0821 https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0821/claims/1998_01_01_baker_harman https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0821/claims/2022_11_14_lichtman https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0821/claims/2026_09_24_openai https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0821/claims https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0822 https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0822/claims/2023_06_28_gabdullin_iudelevich_luca https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0822/claims https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0823 https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0823/claims/2015_11_18_pollack https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0823/claims https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0824 https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0824/claims https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0825 https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0825/claims/2026_01_31_larsen https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0825/claims https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0826 https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0828 https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0830 https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0878 https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0878/claims/2026_09_13_kitamura https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0878/claims https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0889 https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0891 https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0897 https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0897/claims/1981_01_01_wirsing https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0897/claims/2025_12_26_archivara https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0897/claims https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0928 https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0928/claims/2021_01_20_wang https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0928/claims/2026_09_24_openai https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0928/claims https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0955 https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0955/claims/2014_05_14_troupe https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0955/claims/2015_04_01_pollack https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0955/claims/2015_06_15_pollack https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0955/claims/2017_06_09_pollack_pomerance_thompson https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0955/claims/2019_02_28_troupe https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0955/claims/2021_06_20_pollack_troupe https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0955/claims/2023_07_24_benli_cesana_dartyge_dombrowsky_thompson https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0955/claims/2026_07_21_benli_dartyge_dombrowsky_pollack_thompson https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0955/claims https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0976 https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0976/claims/2001_05_01_heath_brown https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0976/claims/2014_11_28_irving https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0976/claims/2015_06_22_de_la_breteche https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0976/claims/2022_12_07_dartyge_maynard https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0976/claims/2023_08_19_carella https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0976/claims/2024_04_05_pascadi https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0976/claims/2025_05_01_grimmelt_merikoski https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0976/claims/2026_02_03_ermoshin https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0976/claims/2026_04_16_bhalla https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0976/claims https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0977 https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0977/claims/1975_01_01_stewart https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0977/claims/2010_08_06_stewart https://erdosproblems.ai/wiki/problems/arithmetic_functions/E0977/claims https://erdosproblems.ai/wiki/problems/arithmetic_functions/E1003 https://erdosproblems.ai/wiki/problems/arithmetic_functions/E1004 https://erdosproblems.ai/wiki/problems/arithmetic_functions/E1004/claims/2026_04_29_aditya https://erdosproblems.ai/wiki/problems/arithmetic_functions/E1004/claims https://erdosproblems.ai/wiki/problems/arithmetic_functions/E1052 https://erdosproblems.ai/wiki/problems/arithmetic_functions/E1053 https://erdosproblems.ai/wiki/problems/arithmetic_functions/E1060 https://erdosproblems.ai/wiki/problems/arithmetic_functions/E1061 https://erdosproblems.ai/wiki/problems/arithmetic_functions/E1061/claims/2026_06_24_li https://erdosproblems.ai/wiki/problems/arithmetic_functions/E1061/claims https://erdosproblems.ai/wiki/problems/arithmetic_functions/E1064 https://erdosproblems.ai/wiki/problems/arithmetic_functions/E1064/claims/2001_07_01_grytczuk_luca_wojtowicz https://erdosproblems.ai/wiki/problems/arithmetic_functions/E1064/claims/2002_01_01_luca_pomerance https://erdosproblems.ai/wiki/problems/arithmetic_functions/E1064/claims https://erdosproblems.ai/wiki/problems/arithmetic_functions/E1106 https://erdosproblems.ai/wiki/problems/arithmetic_functions/E1106/claims/1987_12_01_schinzel_wirsing https://erdosproblems.ai/wiki/problems/arithmetic_functions/E1106/claims/1990_01_01_schinzel https://erdosproblems.ai/wiki/problems/arithmetic_functions/E1106/claims/2000_01_01_ono https://erdosproblems.ai/wiki/problems/arithmetic_functions/E1106/claims https://erdosproblems.ai/wiki/problems/arithmetic_functions/E1122 https://erdosproblems.ai/wiki/problems/arithmetic_functions/E1122/claims/1946_01_01_erdos https://erdosproblems.ai/wiki/problems/arithmetic_functions/E1122/claims/2021_08_27_mangerel https://erdosproblems.ai/wiki/problems/arithmetic_functions/E1122/claims/2026_09_08_gu https://erdosproblems.ai/wiki/problems/arithmetic_functions/E1122/claims https://erdosproblems.ai/wiki/problems/arithmetic_functions/E1144 https://erdosproblems.ai/wiki/problems/arithmetic_functions/E1144/claims/2026_09_06_hoystad https://erdosproblems.ai/wiki/problems/arithmetic_functions/E1144/claims https://erdosproblems.ai/wiki/problems/arithmetic_functions/E1203 https://erdosproblems.ai/wiki/problems/arithmetic_functions https://erdosproblems.ai/wiki/problems/covering_systems/E0002 https://erdosproblems.ai/wiki/problems/covering_systems/E0002/claims/2005_07_18_filaseta_ford_konyagin_pomerance_yu https://erdosproblems.ai/wiki/problems/covering_systems/E0002/claims/2013_07_02_hough https://erdosproblems.ai/wiki/problems/covering_systems/E0002/claims/2018_11_08_balister_bollobas_morris_sahasrabudhe_tiba https://erdosproblems.ai/wiki/problems/covering_systems/E0002/claims/2022_11_15_cummings_filaseta_trifonov https://erdosproblems.ai/wiki/problems/covering_systems/E0002/claims https://erdosproblems.ai/wiki/problems/covering_systems/E0007 https://erdosproblems.ai/wiki/problems/covering_systems/E0007/claims/1987_01_01_berger_felzenbaum_fraenkel https://erdosproblems.ai/wiki/problems/covering_systems/E0007/claims/2017_03_06_hough_nielsen https://erdosproblems.ai/wiki/problems/covering_systems/E0007/claims/2018_11_08_balister_bollobas_morris_sahasrabudhe_tiba https://erdosproblems.ai/wiki/problems/covering_systems/E0007/claims/2019_01_31_balister_bollobas_morris_sahasrabudhe_tiba https://erdosproblems.ai/wiki/problems/covering_systems/E0007/claims/2026_01_11_gebyjaff https://erdosproblems.ai/wiki/problems/covering_systems/E0007/claims/2026_05_02_lee https://erdosproblems.ai/wiki/problems/covering_systems/E0007/claims/2026_07_28_mian_siddique https://erdosproblems.ai/wiki/problems/covering_systems/E0007/claims https://erdosproblems.ai/wiki/problems/covering_systems/E0008 https://erdosproblems.ai/wiki/problems/covering_systems/E0008/claims/2013_07_02_hough https://erdosproblems.ai/wiki/problems/covering_systems/E0008/claims https://erdosproblems.ai/wiki/problems/covering_systems/E0027 https://erdosproblems.ai/wiki/problems/covering_systems/E0027/claims/2005_07_18_filaseta_ford_konyagin_pomerance_yu https://erdosproblems.ai/wiki/problems/covering_systems/E0027/claims/2018_11_08_balister_bollobas_morris_sahasrabudhe_tiba https://erdosproblems.ai/wiki/problems/covering_systems/E0027/claims https://erdosproblems.ai/wiki/problems/covering_systems/E0202 https://erdosproblems.ai/wiki/problems/covering_systems/E0202/claims/1968_01_01_erdos_szemeredi https://erdosproblems.ai/wiki/problems/covering_systems/E0202/claims/2002_08_30_croot https://erdosproblems.ai/wiki/problems/covering_systems/E0202/claims/2005_01_01_chen https://erdosproblems.ai/wiki/problems/covering_systems/E0202/claims/2013_01_01_de_la_breteche_ford_vandehey https://erdosproblems.ai/wiki/problems/covering_systems/E0202/claims/2026_04_23_ho https://erdosproblems.ai/wiki/problems/covering_systems/E0202/claims/2026_04_30_chojecki https://erdosproblems.ai/wiki/problems/covering_systems/E0202/claims https://erdosproblems.ai/wiki/problems/covering_systems/E0203 https://erdosproblems.ai/wiki/problems/covering_systems/E0204 https://erdosproblems.ai/wiki/problems/covering_systems/E0204/claims/2025_01_25_adenwalla https://erdosproblems.ai/wiki/problems/covering_systems/E0204/claims https://erdosproblems.ai/wiki/problems/covering_systems/E0273 https://erdosproblems.ai/wiki/problems/covering_systems/E0273/claims/2026_07_11_ideal_ombrer https://erdosproblems.ai/wiki/problems/covering_systems/E0273/claims/2026_07_26_zeraoulia https://erdosproblems.ai/wiki/problems/covering_systems/E0273/claims https://erdosproblems.ai/wiki/problems/covering_systems/E0274 https://erdosproblems.ai/wiki/problems/covering_systems/E0274/claims/1986_09_01_berger_felzenbaum_fraenkel https://erdosproblems.ai/wiki/problems/covering_systems/E0274/claims/2003_06_05_sun https://erdosproblems.ai/wiki/problems/covering_systems/E0274/claims/2018_03_09_margolis_schnabel https://erdosproblems.ai/wiki/problems/covering_systems/E0274/claims/2024_04_25_akman_sissokho https://erdosproblems.ai/wiki/problems/covering_systems/E0274/claims/2026_08_17_itabe https://erdosproblems.ai/wiki/problems/covering_systems/E0274/claims/2026_10_02_menon https://erdosproblems.ai/wiki/problems/covering_systems/E0274/claims https://erdosproblems.ai/wiki/problems/covering_systems/E0275 https://erdosproblems.ai/wiki/problems/covering_systems/E0275/claims/1970_03_01_crittenden_vanden_eynden https://erdosproblems.ai/wiki/problems/covering_systems/E0275/claims/2019_09_05_balister_bollobas_morris_sahasrabudhe_tiba https://erdosproblems.ai/wiki/problems/covering_systems/E0275/claims https://erdosproblems.ai/wiki/problems/covering_systems/E0276 https://erdosproblems.ai/wiki/problems/covering_systems/E0277 https://erdosproblems.ai/wiki/problems/covering_systems/E0277/claims/1979_06_01_haight https://erdosproblems.ai/wiki/problems/covering_systems/E0277/claims/2005_07_18_filaseta_ford_konyagin_pomerance_yu https://erdosproblems.ai/wiki/problems/covering_systems/E0277/claims https://erdosproblems.ai/wiki/problems/covering_systems/E0278 https://erdosproblems.ai/wiki/problems/covering_systems/E0278/claims/1966_01_01_rogers https://erdosproblems.ai/wiki/problems/covering_systems/E0278/claims/1986_04_01_simpson https://erdosproblems.ai/wiki/problems/covering_systems/E0278/claims/2025_08_25_cambie https://erdosproblems.ai/wiki/problems/covering_systems/E0278/claims/2026_09_10_onishi https://erdosproblems.ai/wiki/problems/covering_systems/E0278/claims/2026_09_22_schroeder https://erdosproblems.ai/wiki/problems/covering_systems/E0278/claims https://erdosproblems.ai/wiki/problems/covering_systems/E0279 https://erdosproblems.ai/wiki/problems/covering_systems/E0279/claims/2026_07_28_chen https://erdosproblems.ai/wiki/problems/covering_systems/E0279/claims https://erdosproblems.ai/wiki/problems/covering_systems/E0280 https://erdosproblems.ai/wiki/problems/covering_systems/E0280/claims/2025_08_10_cambie https://erdosproblems.ai/wiki/problems/covering_systems/E0280/claims https://erdosproblems.ai/wiki/problems/covering_systems/E0281 https://erdosproblems.ai/wiki/problems/covering_systems/E0281/claims/2026_01_17_somani https://erdosproblems.ai/wiki/problems/covering_systems/E0281/claims/2026_01_18_koishichan https://erdosproblems.ai/wiki/problems/covering_systems/E0281/claims https://erdosproblems.ai/wiki/problems/covering_systems/E0586 https://erdosproblems.ai/wiki/problems/covering_systems/E0586/claims/2018_11_08_balister_bollobas_morris_sahasrabudhe_tiba https://erdosproblems.ai/wiki/problems/covering_systems/E0586/claims https://erdosproblems.ai/wiki/problems/covering_systems/E0947 https://erdosproblems.ai/wiki/problems/covering_systems/E0947/claims/1952_01_01_mirsky_newman https://erdosproblems.ai/wiki/problems/covering_systems/E0947/claims https://erdosproblems.ai/wiki/problems/covering_systems/E1113 https://erdosproblems.ai/wiki/problems/covering_systems/E1188 https://erdosproblems.ai/wiki/problems/covering_systems/E1188/claims/2019_04_09_balister_bollobas_morris_sahasrabudhe_tiba https://erdosproblems.ai/wiki/problems/covering_systems/E1188/claims/2026_07_12_snyder https://erdosproblems.ai/wiki/problems/covering_systems/E1188/claims https://erdosproblems.ai/wiki/problems/covering_systems/E1189 https://erdosproblems.ai/wiki/problems/covering_systems/E1189/claims/1985_01_01_simpson https://erdosproblems.ai/wiki/problems/covering_systems/E1189/claims/2006_01_01_sun https://erdosproblems.ai/wiki/problems/covering_systems/E1189/claims/2019_04_09_balister_bollobas_morris_sahasrabudhe_tiba https://erdosproblems.ai/wiki/problems/covering_systems/E1189/claims/2026_07_13_snyder https://erdosproblems.ai/wiki/problems/covering_systems/E1189/claims/2026_07_28_pickhardt https://erdosproblems.ai/wiki/problems/covering_systems/E1189/claims https://erdosproblems.ai/wiki/problems/covering_systems/E1190 https://erdosproblems.ai/wiki/problems/covering_systems/E1190/claims/2013_01_01_de_la_breteche_ford_vandehey https://erdosproblems.ai/wiki/problems/covering_systems/E1190/claims/2026_04_23_ho https://erdosproblems.ai/wiki/problems/covering_systems/E1190/claims/2026_04_28_zribi https://erdosproblems.ai/wiki/problems/covering_systems/E1190/claims/2026_04_30_chojecki https://erdosproblems.ai/wiki/problems/covering_systems/E1190/claims https://erdosproblems.ai/wiki/problems/covering_systems https://erdosproblems.ai/wiki/problems/diophantine_problems/E0123 https://erdosproblems.ai/wiki/problems/diophantine_problems/E0123/claims/1996_04_01_erdos_lewin https://erdosproblems.ai/wiki/problems/diophantine_problems/E0123/claims/2016_02_03_ma_chen https://erdosproblems.ai/wiki/problems/diophantine_problems/E0123/claims/2023_03_20_chen_yu https://erdosproblems.ai/wiki/problems/diophantine_problems/E0123/claims/2026_07_15_snyder https://erdosproblems.ai/wiki/problems/diophantine_problems/E0123/claims/2026_07_20_principia_math https://erdosproblems.ai/wiki/problems/diophantine_problems/E0123/claims https://erdosproblems.ai/wiki/problems/diophantine_problems/E0124 https://erdosproblems.ai/wiki/problems/diophantine_problems/E0124/claims/1996_01_01_burr_erdos_graham_li https://erdosproblems.ai/wiki/problems/diophantine_problems/E0124/claims/2015_07_08_bergelson_simmons https://erdosproblems.ai/wiki/problems/diophantine_problems/E0124/claims/2025_11_29_alexeev https://erdosproblems.ai/wiki/problems/diophantine_problems/E0124/claims/2026_09_09_fan https://erdosproblems.ai/wiki/problems/diophantine_problems/E0124/claims https://erdosproblems.ai/wiki/problems/diophantine_problems/E0125 https://erdosproblems.ai/wiki/problems/diophantine_problems/E0125/claims/2026_02_25_deepmind https://erdosproblems.ai/wiki/problems/diophantine_problems/E0125/claims/2026_03_30_deepmind https://erdosproblems.ai/wiki/problems/diophantine_problems/E0125/claims/2026_05_13_deepmind https://erdosproblems.ai/wiki/problems/diophantine_problems/E0125/claims https://erdosproblems.ai/wiki/problems/diophantine_problems/E0137 https://erdosproblems.ai/wiki/problems/diophantine_problems/E0246 https://erdosproblems.ai/wiki/problems/diophantine_problems/E0246/claims/1959_10_01_birch https://erdosproblems.ai/wiki/problems/diophantine_problems/E0246/claims/1960_01_01_cassels https://erdosproblems.ai/wiki/problems/diophantine_problems/E0246/claims/2000_01_01_hegyvari https://erdosproblems.ai/wiki/problems/diophantine_problems/E0246/claims/2015_07_08_bergelson_simmons https://erdosproblems.ai/wiki/problems/diophantine_problems/E0246/claims/2017_05_10_fang_chen https://erdosproblems.ai/wiki/problems/diophantine_problems/E0246/claims/2024_01_01_yu https://erdosproblems.ai/wiki/problems/diophantine_problems/E0246/claims/2026_09_03_song_yue https://erdosproblems.ai/wiki/problems/diophantine_problems/E0246/claims https://erdosproblems.ai/wiki/problems/diophantine_problems/E0261 https://erdosproblems.ai/wiki/problems/diophantine_problems/E0261/claims/1990_01_01_borwein_loring https://erdosproblems.ai/wiki/problems/diophantine_problems/E0261/claims/1990_01_01_borwein_loring_conditional https://erdosproblems.ai/wiki/problems/diophantine_problems/E0261/claims/2020_08_04_tengely_ulas_zygadlo https://erdosproblems.ai/wiki/problems/diophantine_problems/E0261/claims https://erdosproblems.ai/wiki/problems/diophantine_problems/E0322 https://erdosproblems.ai/wiki/problems/diophantine_problems/E0322/claims/1936_04_01_mahler https://erdosproblems.ai/wiki/problems/diophantine_problems/E0322/claims https://erdosproblems.ai/wiki/problems/diophantine_problems/E0323 https://erdosproblems.ai/wiki/problems/diophantine_problems/E0323/claims/1908_01_01_landau https://erdosproblems.ai/wiki/problems/diophantine_problems/E0323/claims https://erdosproblems.ai/wiki/problems/diophantine_problems/E0324 https://erdosproblems.ai/wiki/problems/diophantine_problems/E0324/claims/2021_10_03_dubickas_novikas https://erdosproblems.ai/wiki/problems/diophantine_problems/E0324/claims/2026_09_16_ren https://erdosproblems.ai/wiki/problems/diophantine_problems/E0324/claims https://erdosproblems.ai/wiki/problems/diophantine_problems/E0325 https://erdosproblems.ai/wiki/problems/diophantine_problems/E0325/claims/2004_03_17_browning_heath_brown https://erdosproblems.ai/wiki/problems/diophantine_problems/E0325/claims https://erdosproblems.ai/wiki/problems/diophantine_problems/E0363 https://erdosproblems.ai/wiki/problems/diophantine_problems/E0363/claims/2003_01_01_skalba https://erdosproblems.ai/wiki/problems/diophantine_problems/E0363/claims/2005_01_01_ulas https://erdosproblems.ai/wiki/problems/diophantine_problems/E0363/claims/2007_01_01_bauer_bennett https://erdosproblems.ai/wiki/problems/diophantine_problems/E0363/claims/2012_03_01_bennett_van_luijk https://erdosproblems.ai/wiki/problems/diophantine_problems/E0363/claims https://erdosproblems.ai/wiki/problems/diophantine_problems/E0364 https://erdosproblems.ai/wiki/problems/diophantine_problems/E0364/claims/2025_01_17_chan https://erdosproblems.ai/wiki/problems/diophantine_problems/E0364/claims/2025_07_07_she https://erdosproblems.ai/wiki/problems/diophantine_problems/E0364/claims/2026_06_12_sayim https://erdosproblems.ai/wiki/problems/diophantine_problems/E0364/claims/2026_08_24_ma https://erdosproblems.ai/wiki/problems/diophantine_problems/E0364/claims https://erdosproblems.ai/wiki/problems/diophantine_problems/E0365 https://erdosproblems.ai/wiki/problems/diophantine_problems/E0365/claims/1970_10_01_golomb https://erdosproblems.ai/wiki/problems/diophantine_problems/E0365/claims/1976_04_01_walker https://erdosproblems.ai/wiki/problems/diophantine_problems/E0365/claims https://erdosproblems.ai/wiki/problems/diophantine_problems/E0366 https://erdosproblems.ai/wiki/problems/diophantine_problems/E0366/claims https://erdosproblems.ai/wiki/problems/diophantine_problems/E0374 https://erdosproblems.ai/wiki/problems/diophantine_problems/E0374/claims/2026_09_29_hartley_olson https://erdosproblems.ai/wiki/problems/diophantine_problems/E0374/claims/2026_10_01_yudin https://erdosproblems.ai/wiki/problems/diophantine_problems/E0374/claims https://erdosproblems.ai/wiki/problems/diophantine_problems/E0388 https://erdosproblems.ai/wiki/problems/diophantine_problems/E0389 https://erdosproblems.ai/wiki/problems/diophantine_problems/E0394 https://erdosproblems.ai/wiki/problems/diophantine_problems/E0394/claims/2026_07_15_snyder https://erdosproblems.ai/wiki/problems/diophantine_problems/E0394/claims https://erdosproblems.ai/wiki/problems/diophantine_problems/E0406 https://erdosproblems.ai/wiki/problems/diophantine_problems/E0407 https://erdosproblems.ai/wiki/problems/diophantine_problems/E0407/claims/1988_03_01_tijdeman_wang https://erdosproblems.ai/wiki/problems/diophantine_problems/E0407/claims/1988_10_13_evertse_gyory_stewart_tijdeman https://erdosproblems.ai/wiki/problems/diophantine_problems/E0407/claims/2023_08_09_bajpai_bennett https://erdosproblems.ai/wiki/problems/diophantine_problems/E0407/claims https://erdosproblems.ai/wiki/problems/diophantine_problems/E0433 https://erdosproblems.ai/wiki/problems/diophantine_problems/E0433/claims/1990_02_01_dixmier https://erdosproblems.ai/wiki/problems/diophantine_problems/E0433/claims https://erdosproblems.ai/wiki/problems/diophantine_problems/E0434 https://erdosproblems.ai/wiki/problems/diophantine_problems/E0434/claims/2003_02_13_kiss https://erdosproblems.ai/wiki/problems/diophantine_problems/E0434/claims/2026_02_24_joshuab https://erdosproblems.ai/wiki/problems/diophantine_problems/E0434/claims https://erdosproblems.ai/wiki/problems/diophantine_problems/E0435 https://erdosproblems.ai/wiki/problems/diophantine_problems/E0435/claims/2024_12_23_hwang_song https://erdosproblems.ai/wiki/problems/diophantine_problems/E0435/claims https://erdosproblems.ai/wiki/problems/diophantine_problems/E0437 https://erdosproblems.ai/wiki/problems/diophantine_problems/E0437/claims/2022_11_22_bui_pratt_zaharescu https://erdosproblems.ai/wiki/problems/diophantine_problems/E0437/claims https://erdosproblems.ai/wiki/problems/diophantine_problems/E0443 https://erdosproblems.ai/wiki/problems/diophantine_problems/E0443/claims/2025_03_31_hegyvari https://erdosproblems.ai/wiki/problems/diophantine_problems/E0443/claims https://erdosproblems.ai/wiki/problems/diophantine_problems/E0445 https://erdosproblems.ai/wiki/problems/diophantine_problems/E0445/claims/2012_04_28_browning_haynes https://erdosproblems.ai/wiki/problems/diophantine_problems/E0445/claims https://erdosproblems.ai/wiki/problems/diophantine_problems/E0477 https://erdosproblems.ai/wiki/problems/diophantine_problems/E0477/claims/1959_01_01_sekanina https://erdosproblems.ai/wiki/problems/diophantine_problems/E0477/claims/2026_06_28_pipeline_math https://erdosproblems.ai/wiki/problems/diophantine_problems/E0477/claims/2026_07_27_price https://erdosproblems.ai/wiki/problems/diophantine_problems/E0477/claims/2026_09_25_shan_xu_liang_dai_chen https://erdosproblems.ai/wiki/problems/diophantine_problems/E0477/claims https://erdosproblems.ai/wiki/problems/diophantine_problems/E0479 https://erdosproblems.ai/wiki/problems/diophantine_problems/E0479/claims/2025_12_02_tang https://erdosproblems.ai/wiki/problems/diophantine_problems/E0479/claims https://erdosproblems.ai/wiki/problems/diophantine_problems/E0493 https://erdosproblems.ai/wiki/problems/diophantine_problems/E0493/claims/2024_07_21_seamans https://erdosproblems.ai/wiki/problems/diophantine_problems/E0493/claims/2025_12_27_alexeev https://erdosproblems.ai/wiki/problems/diophantine_problems/E0493/claims https://erdosproblems.ai/wiki/problems/diophantine_problems/E0672 https://erdosproblems.ai/wiki/problems/diophantine_problems/E0672/claims/1950_01_01_oblath https://erdosproblems.ai/wiki/problems/diophantine_problems/E0672/claims/1975_06_01_erdos_selfridge https://erdosproblems.ai/wiki/problems/diophantine_problems/E0672/claims/1985_09_01_marszalek https://erdosproblems.ai/wiki/problems/diophantine_problems/E0672/claims/2004_09_01_gyory_hajdu_saradha https://erdosproblems.ai/wiki/problems/diophantine_problems/E0672/claims/2006_03_01_bennett_bruin_gyory_hajdu https://erdosproblems.ai/wiki/problems/diophantine_problems/E0672/claims/2009_07_01_gyory_hajdu_pinter https://erdosproblems.ai/wiki/problems/diophantine_problems/E0672/claims/2017_09_04_bennett_siksek https://erdosproblems.ai/wiki/problems/diophantine_problems/E0672/claims/2026_09_10_piscitelli https://erdosproblems.ai/wiki/problems/diophantine_problems/E0672/claims https://erdosproblems.ai/wiki/problems/diophantine_problems/E0674 https://erdosproblems.ai/wiki/problems/diophantine_problems/E0674/claims/1940_01_01_ko https://erdosproblems.ai/wiki/problems/diophantine_problems/E0674/claims https://erdosproblems.ai/wiki/problems/diophantine_problems/E0676 https://erdosproblems.ai/wiki/problems/diophantine_problems/E0676/claims/2025_09_19_zeraoulia https://erdosproblems.ai/wiki/problems/diophantine_problems/E0676/claims/2026_07_25_zeraoulia https://erdosproblems.ai/wiki/problems/diophantine_problems/E0676/claims https://erdosproblems.ai/wiki/problems/diophantine_problems/E0686 https://erdosproblems.ai/wiki/problems/diophantine_problems/E0686/claims/2026_02_25_deepmind https://erdosproblems.ai/wiki/problems/diophantine_problems/E0686/claims/2026_03_08_sothanaphan https://erdosproblems.ai/wiki/problems/diophantine_problems/E0686/claims https://erdosproblems.ai/wiki/problems/diophantine_problems/E0782 https://erdosproblems.ai/wiki/problems/diophantine_problems/E0782/claims/2006_08_03_cilleruelo_granville https://erdosproblems.ai/wiki/problems/diophantine_problems/E0782/claims https://erdosproblems.ai/wiki/problems/diophantine_problems/E0829 https://erdosproblems.ai/wiki/problems/diophantine_problems/E0841 https://erdosproblems.ai/wiki/problems/diophantine_problems/E0841/claims/2001_01_15_granville_selfridge https://erdosproblems.ai/wiki/problems/diophantine_problems/E0841/claims/2022_11_22_bui_pratt_zaharescu https://erdosproblems.ai/wiki/problems/diophantine_problems/E0841/claims https://erdosproblems.ai/wiki/problems/diophantine_problems/E0843 https://erdosproblems.ai/wiki/problems/diophantine_problems/E0843/claims/2021_04_30_conlon_fox_pham https://erdosproblems.ai/wiki/problems/diophantine_problems/E0843/claims https://erdosproblems.ai/wiki/problems/diophantine_problems/E0845 https://erdosproblems.ai/wiki/problems/diophantine_problems/E0845/claims/2025_11_06_van_doorn_everts https://erdosproblems.ai/wiki/problems/diophantine_problems/E0845/claims https://erdosproblems.ai/wiki/problems/diophantine_problems/E0913 https://erdosproblems.ai/wiki/problems/diophantine_problems/E0930 https://erdosproblems.ai/wiki/problems/diophantine_problems/E0930/claims/1975_06_01_erdos_selfridge https://erdosproblems.ai/wiki/problems/diophantine_problems/E0930/claims https://erdosproblems.ai/wiki/problems/diophantine_problems/E0931 https://erdosproblems.ai/wiki/problems/diophantine_problems/E0933 https://erdosproblems.ai/wiki/problems/diophantine_problems/E0933/claims/2026_02_07_belachhab https://erdosproblems.ai/wiki/problems/diophantine_problems/E0933/claims https://erdosproblems.ai/wiki/problems/diophantine_problems/E0935 https://erdosproblems.ai/wiki/problems/diophantine_problems/E0935/claims/2026_01_29_feng https://erdosproblems.ai/wiki/problems/diophantine_problems/E0935/claims https://erdosproblems.ai/wiki/problems/diophantine_problems/E0936 https://erdosproblems.ai/wiki/problems/diophantine_problems/E0936/claims/2016_11_03_cushing_pascoe https://erdosproblems.ai/wiki/problems/diophantine_problems/E0936/claims/2020_05_15_crowdmath https://erdosproblems.ai/wiki/problems/diophantine_problems/E0936/claims https://erdosproblems.ai/wiki/problems/diophantine_problems/E0937 https://erdosproblems.ai/wiki/problems/diophantine_problems/E0937/claims/2023_02_06_bajpai_bennett_chan https://erdosproblems.ai/wiki/problems/diophantine_problems/E0937/claims https://erdosproblems.ai/wiki/problems/diophantine_problems/E0938 https://erdosproblems.ai/wiki/problems/diophantine_problems/E0939 https://erdosproblems.ai/wiki/problems/diophantine_problems/E0939/claims/1995_07_01_nitaj https://erdosproblems.ai/wiki/problems/diophantine_problems/E0939/claims/1998_01_01_cohn https://erdosproblems.ai/wiki/problems/diophantine_problems/E0939/claims/2024_04_05_walsh https://erdosproblems.ai/wiki/problems/diophantine_problems/E0939/claims/2026_05_24_price https://erdosproblems.ai/wiki/problems/diophantine_problems/E0939/claims https://erdosproblems.ai/wiki/problems/diophantine_problems/E0940 https://erdosproblems.ai/wiki/problems/diophantine_problems/E0940/claims/2021_08_07_wang https://erdosproblems.ai/wiki/problems/diophantine_problems/E0940/claims/2026_07_26_beyer_de_ryke https://erdosproblems.ai/wiki/problems/diophantine_problems/E0940/claims https://erdosproblems.ai/wiki/problems/diophantine_problems/E0941 https://erdosproblems.ai/wiki/problems/diophantine_problems/E0941/claims/1988_01_01_heath_brown https://erdosproblems.ai/wiki/problems/diophantine_problems/E0941/claims https://erdosproblems.ai/wiki/problems/diophantine_problems/E0942 https://erdosproblems.ai/wiki/problems/diophantine_problems/E0943 https://erdosproblems.ai/wiki/problems/diophantine_problems/E0969 https://erdosproblems.ai/wiki/problems/diophantine_problems/E0978 https://erdosproblems.ai/wiki/problems/diophantine_problems/E0978/claims/1967_06_01_hooley https://erdosproblems.ai/wiki/problems/diophantine_problems/E0978/claims/2006_01_01_heath_brown https://erdosproblems.ai/wiki/problems/diophantine_problems/E0978/claims/2011_02_19_browning https://erdosproblems.ai/wiki/problems/diophantine_problems/E0978/claims/2023_10_25_carella https://erdosproblems.ai/wiki/problems/diophantine_problems/E0978/claims/2026_08_11_zapata_ceballos_jalalvand https://erdosproblems.ai/wiki/problems/diophantine_problems/E0978/claims/2026_09_24_openai https://erdosproblems.ai/wiki/problems/diophantine_problems/E0978/claims https://erdosproblems.ai/wiki/problems/diophantine_problems/E0979 https://erdosproblems.ai/wiki/problems/diophantine_problems/E0979/claims/1937_04_01_erdos https://erdosproblems.ai/wiki/problems/diophantine_problems/E0979/claims/1965_01_01_erdos https://erdosproblems.ai/wiki/problems/diophantine_problems/E0979/claims/2026_08_17_kitamura https://erdosproblems.ai/wiki/problems/diophantine_problems/E0979/claims/2026_08_18_wang_zhang https://erdosproblems.ai/wiki/problems/diophantine_problems/E0979/claims https://erdosproblems.ai/wiki/problems/diophantine_problems/E1056 https://erdosproblems.ai/wiki/problems/diophantine_problems/E1056/claims/1981_01_01_erdos https://erdosproblems.ai/wiki/problems/diophantine_problems/E1056/claims/1983_01_01_makowski https://erdosproblems.ai/wiki/problems/diophantine_problems/E1056/claims/2007_05_04_andersen https://erdosproblems.ai/wiki/problems/diophantine_problems/E1056/claims/2026_06_03_agustin_aquino_hernandez_santiago https://erdosproblems.ai/wiki/problems/diophantine_problems/E1056/claims https://erdosproblems.ai/wiki/problems/diophantine_problems/E1058 https://erdosproblems.ai/wiki/problems/diophantine_problems/E1058/claims/2000_03_08_luca https://erdosproblems.ai/wiki/problems/diophantine_problems/E1058/claims https://erdosproblems.ai/wiki/problems/diophantine_problems/E1065 https://erdosproblems.ai/wiki/problems/diophantine_problems/E1072 https://erdosproblems.ai/wiki/problems/diophantine_problems/E1081 https://erdosproblems.ai/wiki/problems/diophantine_problems/E1081/claims/1981_01_01_odoni https://erdosproblems.ai/wiki/problems/diophantine_problems/E1081/claims/2004_01_30_blomer https://erdosproblems.ai/wiki/problems/diophantine_problems/E1081/claims/2006_11_01_blomer_granville https://erdosproblems.ai/wiki/problems/diophantine_problems/E1081/claims https://erdosproblems.ai/wiki/problems/diophantine_problems/E1107 https://erdosproblems.ai/wiki/problems/diophantine_problems/E1107/claims/1988_01_01_heath_brown https://erdosproblems.ai/wiki/problems/diophantine_problems/E1107/claims https://erdosproblems.ai/wiki/problems/diophantine_problems/E1110 https://erdosproblems.ai/wiki/problems/diophantine_problems/E1110/claims/2026_08_05_apiros3 https://erdosproblems.ai/wiki/problems/diophantine_problems/E1110/claims/2026_08_24_ding_li_liu_zhang https://erdosproblems.ai/wiki/problems/diophantine_problems/E1110/claims/2026_09_29_becart https://erdosproblems.ai/wiki/problems/diophantine_problems/E1110/claims https://erdosproblems.ai/wiki/problems/diophantine_problems/E1140 https://erdosproblems.ai/wiki/problems/diophantine_problems/E1140/claims/2010_01_01_epure_gica https://erdosproblems.ai/wiki/problems/diophantine_problems/E1140/claims https://erdosproblems.ai/wiki/problems/diophantine_problems/E1148 https://erdosproblems.ai/wiki/problems/diophantine_problems/E1148/claims/2026_03_16_chojecki https://erdosproblems.ai/wiki/problems/diophantine_problems/E1148/claims https://erdosproblems.ai/wiki/problems/diophantine_problems/E1214 https://erdosproblems.ai/wiki/problems/diophantine_problems/E1214/claims/1997_06_01_corralesrodriganez_schoof https://erdosproblems.ai/wiki/problems/diophantine_problems/E1214/claims https://erdosproblems.ai/wiki/problems/diophantine_problems https://erdosproblems.ai/wiki/problems/discrepancy/E0067 https://erdosproblems.ai/wiki/problems/discrepancy/E0067/claims/2015_09_17_tao https://erdosproblems.ai/wiki/problems/discrepancy/E0067/claims https://erdosproblems.ai/wiki/problems/discrepancy/E0161 https://erdosproblems.ai/wiki/problems/discrepancy/E0161/claims/2009_01_25_conlon_fox_sudakov https://erdosproblems.ai/wiki/problems/discrepancy/E0161/claims https://erdosproblems.ai/wiki/problems/discrepancy/E0162 https://erdosproblems.ai/wiki/problems/discrepancy/E0176 https://erdosproblems.ai/wiki/problems/discrepancy/E0176/claims/2026_06_21_kitamura https://erdosproblems.ai/wiki/problems/discrepancy/E0176/claims/2026_06_23_kitamura https://erdosproblems.ai/wiki/problems/discrepancy/E0176/claims/2026_09_23_openai https://erdosproblems.ai/wiki/problems/discrepancy/E0176/claims https://erdosproblems.ai/wiki/problems/discrepancy/E0177 https://erdosproblems.ai/wiki/problems/discrepancy/E0177/claims/1964_01_01_roth https://erdosproblems.ai/wiki/problems/discrepancy/E0177/claims/1966_01_01_cantor_erdos_schreiber_straus https://erdosproblems.ai/wiki/problems/discrepancy/E0177/claims/2017_05_30_beck https://erdosproblems.ai/wiki/problems/discrepancy/E0177/claims/2026_09_19_korsky https://erdosproblems.ai/wiki/problems/discrepancy/E0177/claims https://erdosproblems.ai/wiki/problems/discrepancy/E0178 https://erdosproblems.ai/wiki/problems/discrepancy/E0178/claims/1981_09_01_beck https://erdosproblems.ai/wiki/problems/discrepancy/E0178/claims/2026_09_19_korsky https://erdosproblems.ai/wiki/problems/discrepancy/E0178/claims https://erdosproblems.ai/wiki/problems/discrepancy/E0255 https://erdosproblems.ai/wiki/problems/discrepancy/E0255/claims/1968_01_01_schmidt https://erdosproblems.ai/wiki/problems/discrepancy/E0255/claims/1972_01_01_schmidt https://erdosproblems.ai/wiki/problems/discrepancy/E0255/claims/1980_12_01_tijdeman_wagner https://erdosproblems.ai/wiki/problems/discrepancy/E0255/claims https://erdosproblems.ai/wiki/problems/discrepancy/E0987 https://erdosproblems.ai/wiki/problems/discrepancy/E0987/claims/1965_03_01_erdos https://erdosproblems.ai/wiki/problems/discrepancy/E0987/claims/1967_01_01_clunie https://erdosproblems.ai/wiki/problems/discrepancy/E0987/claims/1969_06_01_liu https://erdosproblems.ai/wiki/problems/discrepancy/E0987/claims/2025_08_30_tao https://erdosproblems.ai/wiki/problems/discrepancy/E0987/claims/2026_04_08_alexeev_putterman_sawhney_sellke_valiant https://erdosproblems.ai/wiki/problems/discrepancy/E0987/claims https://erdosproblems.ai/wiki/problems/discrepancy/E0988 https://erdosproblems.ai/wiki/problems/discrepancy/E0988/claims/1969_03_01_schmidt https://erdosproblems.ai/wiki/problems/discrepancy/E0988/claims https://erdosproblems.ai/wiki/problems/discrepancy/E0989 https://erdosproblems.ai/wiki/problems/discrepancy/E0989/claims/1987_08_25_beck https://erdosproblems.ai/wiki/problems/discrepancy/E0989/claims https://erdosproblems.ai/wiki/problems/discrepancy/E0991 https://erdosproblems.ai/wiki/problems/discrepancy/E0991/claims/2008_02_06_brauchart https://erdosproblems.ai/wiki/problems/discrepancy/E0991/claims/2019_07_10_marzo_mas https://erdosproblems.ai/wiki/problems/discrepancy/E0991/claims https://erdosproblems.ai/wiki/problems/discrepancy/E0992 https://erdosproblems.ai/wiki/problems/discrepancy/E0992/claims/1994_12_01_berkes_philipp https://erdosproblems.ai/wiki/problems/discrepancy/E0992/claims https://erdosproblems.ai/wiki/problems/discrepancy/E0994 https://erdosproblems.ai/wiki/problems/discrepancy/E0994/claims/1970_11_01_marstrand https://erdosproblems.ai/wiki/problems/discrepancy/E0994/claims https://erdosproblems.ai/wiki/problems/discrepancy/E0995 https://erdosproblems.ai/wiki/problems/discrepancy/E0995/claims/2026_04_20_ho https://erdosproblems.ai/wiki/problems/discrepancy/E0995/claims https://erdosproblems.ai/wiki/problems/discrepancy/E0997 https://erdosproblems.ai/wiki/problems/discrepancy/E0997/claims/2024_06_27_champagne_le_liu_wooley https://erdosproblems.ai/wiki/problems/discrepancy/E0997/claims/2026_03_31_alexeev_putterman_sawhney_sellke_valiant https://erdosproblems.ai/wiki/problems/discrepancy/E0997/claims https://erdosproblems.ai/wiki/problems/discrepancy/E1028 https://erdosproblems.ai/wiki/problems/discrepancy/E1028/claims/1971_01_01_erdos_spencer https://erdosproblems.ai/wiki/problems/discrepancy/E1028/claims https://erdosproblems.ai/wiki/problems/discrepancy https://erdosproblems.ai/wiki/problems/discrete_geometry/E0101 https://erdosproblems.ai/wiki/problems/discrete_geometry/E0102 https://erdosproblems.ai/wiki/problems/discrete_geometry/E0104 https://erdosproblems.ai/wiki/problems/discrete_geometry/E0105 https://erdosproblems.ai/wiki/problems/discrete_geometry/E0105/claims/2025_10_24_xichuan https://erdosproblems.ai/wiki/problems/discrete_geometry/E0105/claims https://erdosproblems.ai/wiki/problems/discrete_geometry/E0106 https://erdosproblems.ai/wiki/problems/discrete_geometry/E0106/claims/2026_07_29_silverstein https://erdosproblems.ai/wiki/problems/discrete_geometry/E0106/claims/2026_07_29_singh https://erdosproblems.ai/wiki/problems/discrete_geometry/E0106/claims https://erdosproblems.ai/wiki/problems/discrete_geometry/E0107 https://erdosproblems.ai/wiki/problems/discrete_geometry/E0107/claims/1935_01_01_erdos_szekeres https://erdosproblems.ai/wiki/problems/discrete_geometry/E0107/claims/1960_01_01_erdos_szekeres https://erdosproblems.ai/wiki/problems/discrete_geometry/E0107/claims/2006_10_01_szekeres_peters https://erdosproblems.ai/wiki/problems/discrete_geometry/E0107/claims https://erdosproblems.ai/wiki/problems/discrete_geometry/E0173 https://erdosproblems.ai/wiki/problems/discrete_geometry/E0173/claims/1975_01_01_erdos_graham_montgomery_rothschild_spencer_straus https://erdosproblems.ai/wiki/problems/discrete_geometry/E0173/claims/1976_05_01_shader https://erdosproblems.ai/wiki/problems/discrete_geometry/E0173/claims/2024_02_22_currier_moore_yip https://erdosproblems.ai/wiki/problems/discrete_geometry/E0173/claims https://erdosproblems.ai/wiki/problems/discrete_geometry/E0174 https://erdosproblems.ai/wiki/problems/discrete_geometry/E0174/claims/1973_05_01_erdos_graham_montgomery_rothschild_spencer_straus https://erdosproblems.ai/wiki/problems/discrete_geometry/E0174/claims/1990_01_01_frankl_rodl https://erdosproblems.ai/wiki/problems/discrete_geometry/E0174/claims/1991_07_01_kriz https://erdosproblems.ai/wiki/problems/discrete_geometry/E0174/claims/1992_10_01_kriz https://erdosproblems.ai/wiki/problems/discrete_geometry/E0174/claims/2026_09_20_palvolgyi https://erdosproblems.ai/wiki/problems/discrete_geometry/E0174/claims/2026_09_23_openai https://erdosproblems.ai/wiki/problems/discrete_geometry/E0174/claims https://erdosproblems.ai/wiki/problems/discrete_geometry/E0188 https://erdosproblems.ai/wiki/problems/discrete_geometry/E0188/claims/2017_03_31_tsaturian https://erdosproblems.ai/wiki/problems/discrete_geometry/E0188/claims/2017_05_05_conlon_fox https://erdosproblems.ai/wiki/problems/discrete_geometry/E0188/claims/2026_06_15_currier_mody_xie_zhang https://erdosproblems.ai/wiki/problems/discrete_geometry/E0188/claims https://erdosproblems.ai/wiki/problems/discrete_geometry/E0189 https://erdosproblems.ai/wiki/problems/discrete_geometry/E0189/claims/2023_09_18_kovac https://erdosproblems.ai/wiki/problems/discrete_geometry/E0189/claims https://erdosproblems.ai/wiki/problems/discrete_geometry/E0193 https://erdosproblems.ai/wiki/problems/discrete_geometry/E0193/claims/2026_08_28_kalviainen https://erdosproblems.ai/wiki/problems/discrete_geometry/E0193/claims/2026_09_01_cambie_kalviainen https://erdosproblems.ai/wiki/problems/discrete_geometry/E0193/claims https://erdosproblems.ai/wiki/problems/discrete_geometry/E0209 https://erdosproblems.ai/wiki/problems/discrete_geometry/E0209/claims/1984_12_01_furedi_palasti https://erdosproblems.ai/wiki/problems/discrete_geometry/E0209/claims/2016_04_14_escudero https://erdosproblems.ai/wiki/problems/discrete_geometry/E0209/claims https://erdosproblems.ai/wiki/problems/discrete_geometry/E0210 https://erdosproblems.ai/wiki/problems/discrete_geometry/E0210/claims/1951_05_01_motzkin https://erdosproblems.ai/wiki/problems/discrete_geometry/E0210/claims/1958_01_01_kelly_moser https://erdosproblems.ai/wiki/problems/discrete_geometry/E0210/claims/1993_02_01_csima_sawyer https://erdosproblems.ai/wiki/problems/discrete_geometry/E0210/claims/2012_08_23_green_tao https://erdosproblems.ai/wiki/problems/discrete_geometry/E0210/claims https://erdosproblems.ai/wiki/problems/discrete_geometry/E0211 https://erdosproblems.ai/wiki/problems/discrete_geometry/E0211/claims/1983_09_01_beck https://erdosproblems.ai/wiki/problems/discrete_geometry/E0211/claims/1983_09_01_szemeredi_trotter https://erdosproblems.ai/wiki/problems/discrete_geometry/E0211/claims https://erdosproblems.ai/wiki/problems/discrete_geometry/E0215 https://erdosproblems.ai/wiki/problems/discrete_geometry/E0215/claims/2002_06_13_jackson_mauldin https://erdosproblems.ai/wiki/problems/discrete_geometry/E0215/claims https://erdosproblems.ai/wiki/problems/discrete_geometry/E0216 https://erdosproblems.ai/wiki/problems/discrete_geometry/E0216/claims/1978_01_01_harborth https://erdosproblems.ai/wiki/problems/discrete_geometry/E0216/claims/1983_12_01_horton https://erdosproblems.ai/wiki/problems/discrete_geometry/E0216/claims/2007_09_01_nicolas https://erdosproblems.ai/wiki/problems/discrete_geometry/E0216/claims/2007_09_11_gerken https://erdosproblems.ai/wiki/problems/discrete_geometry/E0216/claims/2024_03_01_heule_scheucher https://erdosproblems.ai/wiki/problems/discrete_geometry/E0216/claims https://erdosproblems.ai/wiki/problems/discrete_geometry/E0224 https://erdosproblems.ai/wiki/problems/discrete_geometry/E0224/claims/1962_12_01_danzer_grunbaum https://erdosproblems.ai/wiki/problems/discrete_geometry/E0224/claims https://erdosproblems.ai/wiki/problems/discrete_geometry/E0352 https://erdosproblems.ai/wiki/problems/discrete_geometry/E0352/claims/1978_01_01_erdos https://erdosproblems.ai/wiki/problems/discrete_geometry/E0352/claims/2002_01_01_freiling_mauldin https://erdosproblems.ai/wiki/problems/discrete_geometry/E0352/claims/2013_01_01_freiling_mauldin https://erdosproblems.ai/wiki/problems/discrete_geometry/E0352/claims https://erdosproblems.ai/wiki/problems/discrete_geometry/E0353 https://erdosproblems.ai/wiki/problems/discrete_geometry/E0353/claims/2024_12_16_kovac_predojevic https://erdosproblems.ai/wiki/problems/discrete_geometry/E0353/claims/2025_01_03_koizumi https://erdosproblems.ai/wiki/problems/discrete_geometry/E0353/claims https://erdosproblems.ai/wiki/problems/discrete_geometry/E0504 https://erdosproblems.ai/wiki/problems/discrete_geometry/E0504/claims/1960_01_01_erdos_szekeres https://erdosproblems.ai/wiki/problems/discrete_geometry/E0504/claims/1993_01_01_sendov https://erdosproblems.ai/wiki/problems/discrete_geometry/E0504/claims https://erdosproblems.ai/wiki/problems/discrete_geometry/E0505 https://erdosproblems.ai/wiki/problems/discrete_geometry/E0505/claims/1933_01_01_borsuk https://erdosproblems.ai/wiki/problems/discrete_geometry/E0505/claims/1955_01_01_eggleston https://erdosproblems.ai/wiki/problems/discrete_geometry/E0505/claims/1993_07_01_kahn_kalai https://erdosproblems.ai/wiki/problems/discrete_geometry/E0505/claims/2013_05_12_bondarenko https://erdosproblems.ai/wiki/problems/discrete_geometry/E0505/claims/2014_11_06_jenrich_brouwer https://erdosproblems.ai/wiki/problems/discrete_geometry/E0505/claims/2026_05_27_grinsztajn https://erdosproblems.ai/wiki/problems/discrete_geometry/E0505/claims/2026_08_12_ji https://erdosproblems.ai/wiki/problems/discrete_geometry/E0505/claims/2026_09_23_openai https://erdosproblems.ai/wiki/problems/discrete_geometry/E0505/claims https://erdosproblems.ai/wiki/problems/discrete_geometry/E0506 https://erdosproblems.ai/wiki/problems/discrete_geometry/E0506/claims/1967_03_01_elliott https://erdosproblems.ai/wiki/problems/discrete_geometry/E0506/claims/1994_09_01_balintova_balint https://erdosproblems.ai/wiki/problems/discrete_geometry/E0506/claims/2009_07_03_purdy_smith https://erdosproblems.ai/wiki/problems/discrete_geometry/E0506/claims/2026_08_20_wrona https://erdosproblems.ai/wiki/problems/discrete_geometry/E0506/claims https://erdosproblems.ai/wiki/problems/discrete_geometry/E0507 https://erdosproblems.ai/wiki/problems/discrete_geometry/E0507/claims/1981_12_01_komlos_pintz_szemeredi https://erdosproblems.ai/wiki/problems/discrete_geometry/E0507/claims/1982_02_01_komlos_pintz_szemeredi https://erdosproblems.ai/wiki/problems/discrete_geometry/E0507/claims/2017_03_08_ellmann https://erdosproblems.ai/wiki/problems/discrete_geometry/E0507/claims/2020_06_05_agama https://erdosproblems.ai/wiki/problems/discrete_geometry/E0507/claims/2024_09_11_cohen_pohoata_zakharov https://erdosproblems.ai/wiki/problems/discrete_geometry/E0507/claims/2026_09_25_openai https://erdosproblems.ai/wiki/problems/discrete_geometry/E0507/claims https://erdosproblems.ai/wiki/problems/discrete_geometry/E0508 https://erdosproblems.ai/wiki/problems/discrete_geometry/E0508/claims/2018_04_08_de_grey https://erdosproblems.ai/wiki/problems/discrete_geometry/E0508/claims/2026_05_13_reed https://erdosproblems.ai/wiki/problems/discrete_geometry/E0508/claims/2026_09_23_openai https://erdosproblems.ai/wiki/problems/discrete_geometry/E0508/claims https://erdosproblems.ai/wiki/problems/discrete_geometry/E0526 https://erdosproblems.ai/wiki/problems/discrete_geometry/E0526/claims/1959_01_05_kahane https://erdosproblems.ai/wiki/problems/discrete_geometry/E0526/claims/1972_09_01_shepp https://erdosproblems.ai/wiki/problems/discrete_geometry/E0526/claims https://erdosproblems.ai/wiki/problems/discrete_geometry/E0528 https://erdosproblems.ai/wiki/problems/discrete_geometry/E0528/claims/1964_08_01_kesten https://erdosproblems.ai/wiki/problems/discrete_geometry/E0528/claims/1993_06_01_alm https://erdosproblems.ai/wiki/problems/discrete_geometry/E0528/claims/1993_08_07_conway_guttmann https://erdosproblems.ai/wiki/problems/discrete_geometry/E0528/claims/2007_08_21_clisby_liang_slade https://erdosproblems.ai/wiki/problems/discrete_geometry/E0528/claims https://erdosproblems.ai/wiki/problems/discrete_geometry/E0529 https://erdosproblems.ai/wiki/problems/discrete_geometry/E0529/claims/1987_12_01_slade https://erdosproblems.ai/wiki/problems/discrete_geometry/E0529/claims/1991_10_01_hara_slade https://erdosproblems.ai/wiki/problems/discrete_geometry/E0529/claims https://erdosproblems.ai/wiki/problems/discrete_geometry/E0588 https://erdosproblems.ai/wiki/problems/discrete_geometry/E0589 https://erdosproblems.ai/wiki/problems/discrete_geometry/E0589/claims/1991_05_01_furedi https://erdosproblems.ai/wiki/problems/discrete_geometry/E0589/claims/2017_04_17_balogh_solymosi https://erdosproblems.ai/wiki/problems/discrete_geometry/E0589/claims https://erdosproblems.ai/wiki/problems/discrete_geometry/E0606 https://erdosproblems.ai/wiki/problems/discrete_geometry/E0606/claims/1972_03_01_erdos https://erdosproblems.ai/wiki/problems/discrete_geometry/E0606/claims/1988_06_01_salamon_erdos https://erdosproblems.ai/wiki/problems/discrete_geometry/E0606/claims https://erdosproblems.ai/wiki/problems/discrete_geometry/E0607 https://erdosproblems.ai/wiki/problems/discrete_geometry/E0607/claims/1983_09_01_szemeredi_trotter https://erdosproblems.ai/wiki/problems/discrete_geometry/E0607/claims https://erdosproblems.ai/wiki/problems/discrete_geometry/E0633 https://erdosproblems.ai/wiki/problems/discrete_geometry/E0633/claims/2026_04_04_beeson_laczkovich_zhang https://erdosproblems.ai/wiki/problems/discrete_geometry/E0633/claims https://erdosproblems.ai/wiki/problems/discrete_geometry/E0634 https://erdosproblems.ai/wiki/problems/discrete_geometry/E0634/claims/1991_08_01_snover_waiveris_williams https://erdosproblems.ai/wiki/problems/discrete_geometry/E0634/claims/2009_01_01_soifer https://erdosproblems.ai/wiki/problems/discrete_geometry/E0634/claims/2018_11_23_beeson https://erdosproblems.ai/wiki/problems/discrete_geometry/E0634/claims/2025_12_27_zhang https://erdosproblems.ai/wiki/problems/discrete_geometry/E0634/claims/2026_06_27_bonfioli https://erdosproblems.ai/wiki/problems/discrete_geometry/E0634/claims/2026_07_17_george https://erdosproblems.ai/wiki/problems/discrete_geometry/E0634/claims/2026_07_24_harries https://erdosproblems.ai/wiki/problems/discrete_geometry/E0634/claims/2026_07_26_beeson https://erdosproblems.ai/wiki/problems/discrete_geometry/E0634/claims/2026_07_27_harries https://erdosproblems.ai/wiki/problems/discrete_geometry/E0634/claims https://erdosproblems.ai/wiki/problems/discrete_geometry/E0651 https://erdosproblems.ai/wiki/problems/discrete_geometry/E0651/claims/2022_08_09_pohoata_zakharov https://erdosproblems.ai/wiki/problems/discrete_geometry/E0651/claims https://erdosproblems.ai/wiki/problems/discrete_geometry/E0669 https://erdosproblems.ai/wiki/problems/discrete_geometry/E0669/claims/1974_02_01_burr_grunbaum_sloane https://erdosproblems.ai/wiki/problems/discrete_geometry/E0669/claims/2012_08_23_green_tao https://erdosproblems.ai/wiki/problems/discrete_geometry/E0669/claims https://erdosproblems.ai/wiki/problems/discrete_geometry/E0704 https://erdosproblems.ai/wiki/problems/discrete_geometry/E0704/claims/1981_12_01_frankl_wilson https://erdosproblems.ai/wiki/problems/discrete_geometry/E0704/claims/2000_04_30_raigorodskii https://erdosproblems.ai/wiki/problems/discrete_geometry/E0704/claims https://erdosproblems.ai/wiki/problems/discrete_geometry/E0705 https://erdosproblems.ai/wiki/problems/discrete_geometry/E0705/claims/1979_08_01_wormald https://erdosproblems.ai/wiki/problems/discrete_geometry/E0705/claims/1994_07_01_odonnell https://erdosproblems.ai/wiki/problems/discrete_geometry/E0705/claims/1995_01_01_chilakamarri https://erdosproblems.ai/wiki/problems/discrete_geometry/E0705/claims/1999_10_01_odonnell https://erdosproblems.ai/wiki/problems/discrete_geometry/E0705/claims https://erdosproblems.ai/wiki/problems/discrete_geometry/E0733 https://erdosproblems.ai/wiki/problems/discrete_geometry/E0733/claims/1983_09_01_szemeredi_trotter https://erdosproblems.ai/wiki/problems/discrete_geometry/E0733/claims https://erdosproblems.ai/wiki/problems/discrete_geometry/E0735 https://erdosproblems.ai/wiki/problems/discrete_geometry/E0735/claims/2007_06_06_ackerman_buchin_knauer_pinchasi_rote https://erdosproblems.ai/wiki/problems/discrete_geometry/E0735/claims https://erdosproblems.ai/wiki/problems/discrete_geometry/E0755 https://erdosproblems.ai/wiki/problems/discrete_geometry/E0755/claims/2025_07_26_clemen_dumitrescu_liu https://erdosproblems.ai/wiki/problems/discrete_geometry/E0755/claims https://erdosproblems.ai/wiki/problems/discrete_geometry/E0769 https://erdosproblems.ai/wiki/problems/discrete_geometry/E0769/claims/1974_01_01_burgess_erdos https://erdosproblems.ai/wiki/problems/discrete_geometry/E0769/claims/1998_02_01_hudelson https://erdosproblems.ai/wiki/problems/discrete_geometry/E0769/claims/2018_03_24_connor_marmorino https://erdosproblems.ai/wiki/problems/discrete_geometry/E0769/claims/2026_07_14_snyder https://erdosproblems.ai/wiki/problems/discrete_geometry/E0769/claims/2026_07_24_zeng https://erdosproblems.ai/wiki/problems/discrete_geometry/E0769/claims/2026_08_05_korsky https://erdosproblems.ai/wiki/problems/discrete_geometry/E0769/claims https://erdosproblems.ai/wiki/problems/discrete_geometry/E0798 https://erdosproblems.ai/wiki/problems/discrete_geometry/E0798/claims/1991_09_01_alon https://erdosproblems.ai/wiki/problems/discrete_geometry/E0798/claims https://erdosproblems.ai/wiki/problems/discrete_geometry/E0827 https://erdosproblems.ai/wiki/problems/discrete_geometry/E0827/claims/2014_02_25_martinez_roldan_pensado https://erdosproblems.ai/wiki/problems/discrete_geometry/E0827/claims/2015_05_19_martinez_sandoval_raggi_roldan_pensado https://erdosproblems.ai/wiki/problems/discrete_geometry/E0827/claims/2026_09_22_sallerk https://erdosproblems.ai/wiki/problems/discrete_geometry/E0827/claims/2026_09_24_kiichi https://erdosproblems.ai/wiki/problems/discrete_geometry/E0827/claims https://erdosproblems.ai/wiki/problems/discrete_geometry/E0831 https://erdosproblems.ai/wiki/problems/discrete_geometry/E0838 https://erdosproblems.ai/wiki/problems/discrete_geometry/E0846 https://erdosproblems.ai/wiki/problems/discrete_geometry/E0846/claims/2026_02_24_putterman_sawhney_valiant https://erdosproblems.ai/wiki/problems/discrete_geometry/E0846/claims/2026_02_25_deepmind https://erdosproblems.ai/wiki/problems/discrete_geometry/E0846/claims https://erdosproblems.ai/wiki/problems/discrete_geometry/E0898 https://erdosproblems.ai/wiki/problems/discrete_geometry/E0898/claims/1935_01_01_mordell https://erdosproblems.ai/wiki/problems/discrete_geometry/E0898/claims https://erdosproblems.ai/wiki/problems/discrete_geometry/E0960 https://erdosproblems.ai/wiki/problems/discrete_geometry/E0960/claims/2026_04_08_alexeev_putterman_sawhney_sellke_valiant https://erdosproblems.ai/wiki/problems/discrete_geometry/E0960/claims https://erdosproblems.ai/wiki/problems/discrete_geometry/E1069 https://erdosproblems.ai/wiki/problems/discrete_geometry/E1069/claims/1983_09_01_szemeredi_trotter https://erdosproblems.ai/wiki/problems/discrete_geometry/E1069/claims https://erdosproblems.ai/wiki/problems/discrete_geometry/E1070 https://erdosproblems.ai/wiki/problems/discrete_geometry/E1070/claims/2026_06_26_ducz_varga https://erdosproblems.ai/wiki/problems/discrete_geometry/E1070/claims https://erdosproblems.ai/wiki/problems/discrete_geometry/E1071 https://erdosproblems.ai/wiki/problems/discrete_geometry/E1071/claims/1987_01_01_danzer https://erdosproblems.ai/wiki/problems/discrete_geometry/E1071/claims/2026_01_25_alexeev https://erdosproblems.ai/wiki/problems/discrete_geometry/E1071/claims/2026_02_13_alexeev https://erdosproblems.ai/wiki/problems/discrete_geometry/E1071/claims https://erdosproblems.ai/wiki/problems/discrete_geometry/E1088 https://erdosproblems.ai/wiki/problems/discrete_geometry/E1088/claims/1947_04_01_erdos_kelly https://erdosproblems.ai/wiki/problems/discrete_geometry/E1088/claims/1962_01_01_croft https://erdosproblems.ai/wiki/problems/discrete_geometry/E1088/claims/1975_01_01_komlos_sulyok_szemeredi https://erdosproblems.ai/wiki/problems/discrete_geometry/E1088/claims/1984_01_01_blokhuis https://erdosproblems.ai/wiki/problems/discrete_geometry/E1088/claims https://erdosproblems.ai/wiki/problems/discrete_geometry/E1090 https://erdosproblems.ai/wiki/problems/discrete_geometry/E1090/claims/1975_12_01_graham_selfridge https://erdosproblems.ai/wiki/problems/discrete_geometry/E1090/claims/2025_10_17_hunter https://erdosproblems.ai/wiki/problems/discrete_geometry/E1090/claims https://erdosproblems.ai/wiki/problems/discrete_geometry/E1121 https://erdosproblems.ai/wiki/problems/discrete_geometry/E1121/claims/1945_11_01_goodman_goodman https://erdosproblems.ai/wiki/problems/discrete_geometry/E1121/claims/1947_12_01_hadwiger https://erdosproblems.ai/wiki/problems/discrete_geometry/E1121/claims/2015_07_17_bezdek_litvak https://erdosproblems.ai/wiki/problems/discrete_geometry/E1121/claims/2016_02_02_bezdek_langi https://erdosproblems.ai/wiki/problems/discrete_geometry/E1121/claims/2016_05_13_akopyan_balitskiy_grigorev https://erdosproblems.ai/wiki/problems/discrete_geometry/E1121/claims https://erdosproblems.ai/wiki/problems/discrete_geometry/E1124 https://erdosproblems.ai/wiki/problems/discrete_geometry/E1124/claims/1990_02_01_laczkovich https://erdosproblems.ai/wiki/problems/discrete_geometry/E1124/claims https://erdosproblems.ai/wiki/problems/discrete_geometry https://erdosproblems.ai/wiki/problems/distance_problems/E0089 https://erdosproblems.ai/wiki/problems/distance_problems/E0090 https://erdosproblems.ai/wiki/problems/distance_problems/E0090/claims/2026_05_20_alon_bloom_gowers_litt_sawin_shankar_tsimerman_wang_wood https://erdosproblems.ai/wiki/problems/distance_problems/E0090/claims/2026_05_20_openai https://erdosproblems.ai/wiki/problems/distance_problems/E0090/claims/2026_05_20_sawin https://erdosproblems.ai/wiki/problems/distance_problems/E0090/claims/2026_05_26_anon https://erdosproblems.ai/wiki/problems/distance_problems/E0090/claims/2026_06_02_emmerich https://erdosproblems.ai/wiki/problems/distance_problems/E0090/claims https://erdosproblems.ai/wiki/problems/distance_problems/E0091 https://erdosproblems.ai/wiki/problems/distance_problems/E0092 https://erdosproblems.ai/wiki/problems/distance_problems/E0092/claims/2026_05_20_openai https://erdosproblems.ai/wiki/problems/distance_problems/E0092/claims https://erdosproblems.ai/wiki/problems/distance_problems/E0093 https://erdosproblems.ai/wiki/problems/distance_problems/E0093/claims/1963_02_01_altman https://erdosproblems.ai/wiki/problems/distance_problems/E0093/claims https://erdosproblems.ai/wiki/problems/distance_problems/E0094 https://erdosproblems.ai/wiki/problems/distance_problems/E0094/claims/1995_09_01_lefmann_thiele https://erdosproblems.ai/wiki/problems/distance_problems/E0094/claims/2026_01_15_dingding https://erdosproblems.ai/wiki/problems/distance_problems/E0094/claims https://erdosproblems.ai/wiki/problems/distance_problems/E0095 https://erdosproblems.ai/wiki/problems/distance_problems/E0095/claims/2010_11_17_guth_katz https://erdosproblems.ai/wiki/problems/distance_problems/E0095/claims https://erdosproblems.ai/wiki/problems/distance_problems/E0096 https://erdosproblems.ai/wiki/problems/distance_problems/E0096/claims/2016_05_24_khopkar https://erdosproblems.ai/wiki/problems/distance_problems/E0096/claims/2026_09_10_kruer_kohlmeyer https://erdosproblems.ai/wiki/problems/distance_problems/E0096/claims/2026_09_13_kruer_kohlmeyer_price https://erdosproblems.ai/wiki/problems/distance_problems/E0096/claims https://erdosproblems.ai/wiki/problems/distance_problems/E0097 https://erdosproblems.ai/wiki/problems/distance_problems/E0097/claims/2026_09_13_kruer_kohlmeyer_price https://erdosproblems.ai/wiki/problems/distance_problems/E0097/claims https://erdosproblems.ai/wiki/problems/distance_problems/E0098 https://erdosproblems.ai/wiki/problems/distance_problems/E0099 https://erdosproblems.ai/wiki/problems/distance_problems/E0100 https://erdosproblems.ai/wiki/problems/distance_problems/E0103 https://erdosproblems.ai/wiki/problems/distance_problems/E0130 https://erdosproblems.ai/wiki/problems/distance_problems/E0130/claims/2026_07_15_snyder https://erdosproblems.ai/wiki/problems/distance_problems/E0130/claims/2026_07_17_lloyd_h https://erdosproblems.ai/wiki/problems/distance_problems/E0130/claims https://erdosproblems.ai/wiki/problems/distance_problems/E0132 https://erdosproblems.ai/wiki/problems/distance_problems/E0132/claims/1995_06_01_erdos_fishburn https://erdosproblems.ai/wiki/problems/distance_problems/E0132/claims/2025_05_07_clemen_dumitrescu_liu https://erdosproblems.ai/wiki/problems/distance_problems/E0132/claims/2026_01_28_zeraoulia https://erdosproblems.ai/wiki/problems/distance_problems/E0132/claims/2026_07_05_marchetto https://erdosproblems.ai/wiki/problems/distance_problems/E0132/claims/2026_07_25_ienjoymath https://erdosproblems.ai/wiki/problems/distance_problems/E0132/claims/2026_08_23_beller https://erdosproblems.ai/wiki/problems/distance_problems/E0132/claims/2026_09_25_jones https://erdosproblems.ai/wiki/problems/distance_problems/E0132/claims https://erdosproblems.ai/wiki/problems/distance_problems/E0135 https://erdosproblems.ai/wiki/problems/distance_problems/E0135/claims/2024_09_02_tao https://erdosproblems.ai/wiki/problems/distance_problems/E0135/claims https://erdosproblems.ai/wiki/problems/distance_problems/E0212 https://erdosproblems.ai/wiki/problems/distance_problems/E0212/claims/2014_12_20_tao https://erdosproblems.ai/wiki/problems/distance_problems/E0212/claims/2014_12_31_shaffaf https://erdosproblems.ai/wiki/problems/distance_problems/E0212/claims https://erdosproblems.ai/wiki/problems/distance_problems/E0213 https://erdosproblems.ai/wiki/problems/distance_problems/E0213/claims/1971_01_01_harborth https://erdosproblems.ai/wiki/problems/distance_problems/E0213/claims/2007_09_29_kreisel_kurz https://erdosproblems.ai/wiki/problems/distance_problems/E0213/claims/2019_01_09_ascher_braune_turchet https://erdosproblems.ai/wiki/problems/distance_problems/E0213/claims https://erdosproblems.ai/wiki/problems/distance_problems/E0214 https://erdosproblems.ai/wiki/problems/distance_problems/E0214/claims/1979_09_01_juhasz https://erdosproblems.ai/wiki/problems/distance_problems/E0214/claims https://erdosproblems.ai/wiki/problems/distance_problems/E0217 https://erdosproblems.ai/wiki/problems/distance_problems/E0217/claims/1983_01_01_pomerance https://erdosproblems.ai/wiki/problems/distance_problems/E0217/claims/1987_01_01_palasti https://erdosproblems.ai/wiki/problems/distance_problems/E0217/claims/1989_01_01_palasti https://erdosproblems.ai/wiki/problems/distance_problems/E0217/claims/1989_09_01_palasti https://erdosproblems.ai/wiki/problems/distance_problems/E0217/claims https://erdosproblems.ai/wiki/problems/distance_problems/E0223 https://erdosproblems.ai/wiki/problems/distance_problems/E0223/claims/1934_01_01_hopf_pannwitz https://erdosproblems.ai/wiki/problems/distance_problems/E0223/claims/1956_01_01_grunbaum https://erdosproblems.ai/wiki/problems/distance_problems/E0223/claims/1956_09_01_heppes https://erdosproblems.ai/wiki/problems/distance_problems/E0223/claims/1957_01_01_straszewicz https://erdosproblems.ai/wiki/problems/distance_problems/E0223/claims/1960_01_01_erdos https://erdosproblems.ai/wiki/problems/distance_problems/E0223/claims/2007_07_02_swanepoel https://erdosproblems.ai/wiki/problems/distance_problems/E0223/claims https://erdosproblems.ai/wiki/problems/distance_problems/E0232 https://erdosproblems.ai/wiki/problems/distance_problems/E0232/claims/2022_07_28_ambrus_csiszarik_matolcsi_varga_zsamboki https://erdosproblems.ai/wiki/problems/distance_problems/E0232/claims https://erdosproblems.ai/wiki/problems/distance_problems/E0502 https://erdosproblems.ai/wiki/problems/distance_problems/E0502/claims/1983_06_01_bannai_bannai_stanton https://erdosproblems.ai/wiki/problems/distance_problems/E0502/claims/1997_02_01_lisonek https://erdosproblems.ai/wiki/problems/distance_problems/E0502/claims/2019_12_17_petrov_pohoata https://erdosproblems.ai/wiki/problems/distance_problems/E0502/claims/2025_08_09_alweiss https://erdosproblems.ai/wiki/problems/distance_problems/E0502/claims https://erdosproblems.ai/wiki/problems/distance_problems/E0503 https://erdosproblems.ai/wiki/problems/distance_problems/E0503/claims/1947_04_01_kelly https://erdosproblems.ai/wiki/problems/distance_problems/E0503/claims/1962_01_01_croft https://erdosproblems.ai/wiki/problems/distance_problems/E0503/claims/2009_11_24_ionin https://erdosproblems.ai/wiki/problems/distance_problems/E0503/claims/2010_01_01_kido https://erdosproblems.ai/wiki/problems/distance_problems/E0503/claims/2024_12_06_kovacs https://erdosproblems.ai/wiki/problems/distance_problems/E0503/claims/2026_04_22_chojecki https://erdosproblems.ai/wiki/problems/distance_problems/E0503/claims https://erdosproblems.ai/wiki/problems/distance_problems/E0604 https://erdosproblems.ai/wiki/problems/distance_problems/E0604/claims/2026_09_23_openai https://erdosproblems.ai/wiki/problems/distance_problems/E0604/claims https://erdosproblems.ai/wiki/problems/distance_problems/E0605 https://erdosproblems.ai/wiki/problems/distance_problems/E0605/claims/1989_08_01_erdos_hickerson_pach https://erdosproblems.ai/wiki/problems/distance_problems/E0605/claims/2004_01_01_swanepoel_valtr https://erdosproblems.ai/wiki/problems/distance_problems/E0605/claims https://erdosproblems.ai/wiki/problems/distance_problems/E0652 https://erdosproblems.ai/wiki/problems/distance_problems/E0652/claims/2019_12_04_mathialagan https://erdosproblems.ai/wiki/problems/distance_problems/E0652/claims/2026_01_29_feng https://erdosproblems.ai/wiki/problems/distance_problems/E0652/claims https://erdosproblems.ai/wiki/problems/distance_problems/E0653 https://erdosproblems.ai/wiki/problems/distance_problems/E0653/claims/2026_09_15_gus https://erdosproblems.ai/wiki/problems/distance_problems/E0653/claims https://erdosproblems.ai/wiki/problems/distance_problems/E0654 https://erdosproblems.ai/wiki/problems/distance_problems/E0654/claims/2026_01_29_feng https://erdosproblems.ai/wiki/problems/distance_problems/E0654/claims https://erdosproblems.ai/wiki/problems/distance_problems/E0655 https://erdosproblems.ai/wiki/problems/distance_problems/E0655/claims/2025_04_24_hunter https://erdosproblems.ai/wiki/problems/distance_problems/E0655/claims https://erdosproblems.ai/wiki/problems/distance_problems/E0657 https://erdosproblems.ai/wiki/problems/distance_problems/E0657/claims/2008_12_01_dumitrescu https://erdosproblems.ai/wiki/problems/distance_problems/E0657/claims/2025_08_19_hunter https://erdosproblems.ai/wiki/problems/distance_problems/E0657/claims https://erdosproblems.ai/wiki/problems/distance_problems/E0659 https://erdosproblems.ai/wiki/problems/distance_problems/E0659/claims/2014_06_08_sheffer https://erdosproblems.ai/wiki/problems/distance_problems/E0659/claims/2026_01_13_grayzel https://erdosproblems.ai/wiki/problems/distance_problems/E0659/claims/2026_01_29_feng https://erdosproblems.ai/wiki/problems/distance_problems/E0659/claims https://erdosproblems.ai/wiki/problems/distance_problems/E0660 https://erdosproblems.ai/wiki/problems/distance_problems/E0661 https://erdosproblems.ai/wiki/problems/distance_problems/E0662 https://erdosproblems.ai/wiki/problems/distance_problems/E0662/claims/2026_04_23_chojecki https://erdosproblems.ai/wiki/problems/distance_problems/E0662/claims/2026_07_15_snyder https://erdosproblems.ai/wiki/problems/distance_problems/E0662/claims https://erdosproblems.ai/wiki/problems/distance_problems/E0668 https://erdosproblems.ai/wiki/problems/distance_problems/E0668/claims/2025_10_20_bloom https://erdosproblems.ai/wiki/problems/distance_problems/E0668/claims https://erdosproblems.ai/wiki/problems/distance_problems/E0670 https://erdosproblems.ai/wiki/problems/distance_problems/E0670/claims/1997_05_22_erdos https://erdosproblems.ai/wiki/problems/distance_problems/E0670/claims https://erdosproblems.ai/wiki/problems/distance_problems/E0754 https://erdosproblems.ai/wiki/problems/distance_problems/E0754/claims/2011_08_24_swanepoel https://erdosproblems.ai/wiki/problems/distance_problems/E0754/claims https://erdosproblems.ai/wiki/problems/distance_problems/E0756 https://erdosproblems.ai/wiki/problems/distance_problems/E0756/claims/2024_07_01_bhowmick https://erdosproblems.ai/wiki/problems/distance_problems/E0756/claims https://erdosproblems.ai/wiki/problems/distance_problems/E0953 https://erdosproblems.ai/wiki/problems/distance_problems/E0953/claims/2026_04_27_chojecki https://erdosproblems.ai/wiki/problems/distance_problems/E0953/claims https://erdosproblems.ai/wiki/problems/distance_problems/E0956 https://erdosproblems.ai/wiki/problems/distance_problems/E0956/claims/1990_09_01_erdos_pach https://erdosproblems.ai/wiki/problems/distance_problems/E0956/claims/2006_03_31_valtr https://erdosproblems.ai/wiki/problems/distance_problems/E0956/claims/2026_04_27_chojecki https://erdosproblems.ai/wiki/problems/distance_problems/E0956/claims https://erdosproblems.ai/wiki/problems/distance_problems/E0957 https://erdosproblems.ai/wiki/problems/distance_problems/E0957/claims/2019_06_11_dumitrescu https://erdosproblems.ai/wiki/problems/distance_problems/E0957/claims https://erdosproblems.ai/wiki/problems/distance_problems/E0958 https://erdosproblems.ai/wiki/problems/distance_problems/E0958/claims/2025_05_07_clemen_dumitrescu_liu https://erdosproblems.ai/wiki/problems/distance_problems/E0958/claims/2025_12_27_alexeev https://erdosproblems.ai/wiki/problems/distance_problems/E0958/claims https://erdosproblems.ai/wiki/problems/distance_problems/E0959 https://erdosproblems.ai/wiki/problems/distance_problems/E0959/claims/2025_05_07_clemen_dumitrescu_liu https://erdosproblems.ai/wiki/problems/distance_problems/E0959/claims/2026_07_15_snyder https://erdosproblems.ai/wiki/problems/distance_problems/E0959/claims/2026_07_21_xeff https://erdosproblems.ai/wiki/problems/distance_problems/E0959/claims https://erdosproblems.ai/wiki/problems/distance_problems/E0982 https://erdosproblems.ai/wiki/problems/distance_problems/E0982/claims/1952_02_01_moser https://erdosproblems.ai/wiki/problems/distance_problems/E0982/claims/1994_01_01_erdos_fishburn https://erdosproblems.ai/wiki/problems/distance_problems/E0982/claims/2006_09_29_dumitrescu https://erdosproblems.ai/wiki/problems/distance_problems/E0982/claims https://erdosproblems.ai/wiki/problems/distance_problems/E1082 https://erdosproblems.ai/wiki/problems/distance_problems/E1082/claims/1963_02_01_altman https://erdosproblems.ai/wiki/problems/distance_problems/E1082/claims/1997_10_01_erdos_fishburn https://erdosproblems.ai/wiki/problems/distance_problems/E1082/claims/2026_02_25_deepmind https://erdosproblems.ai/wiki/problems/distance_problems/E1082/claims/2026_08_31_sallerk https://erdosproblems.ai/wiki/problems/distance_problems/E1082/claims https://erdosproblems.ai/wiki/problems/distance_problems/E1083 https://erdosproblems.ai/wiki/problems/distance_problems/E1083/claims/2026_08_14_tidor_yu_zakharov https://erdosproblems.ai/wiki/problems/distance_problems/E1083/claims/2026_09_23_openai https://erdosproblems.ai/wiki/problems/distance_problems/E1083/claims https://erdosproblems.ai/wiki/problems/distance_problems/E1084 https://erdosproblems.ai/wiki/problems/distance_problems/E1084/claims/1974_01_01_harborth https://erdosproblems.ai/wiki/problems/distance_problems/E1084/claims/2013_04_01_bezdek_reid https://erdosproblems.ai/wiki/problems/distance_problems/E1084/claims/2026_06_11_sanexxxx777 https://erdosproblems.ai/wiki/problems/distance_problems/E1084/claims https://erdosproblems.ai/wiki/problems/distance_problems/E1085 https://erdosproblems.ai/wiki/problems/distance_problems/E1085/claims/1960_01_01_erdos https://erdosproblems.ai/wiki/problems/distance_problems/E1085/claims/1967_01_01_erdos https://erdosproblems.ai/wiki/problems/distance_problems/E1085/claims/1990_09_01_erdos_pach https://erdosproblems.ai/wiki/problems/distance_problems/E1085/claims/1997_01_01_brass https://erdosproblems.ai/wiki/problems/distance_problems/E1085/claims/2007_07_02_swanepoel https://erdosproblems.ai/wiki/problems/distance_problems/E1085/claims/2026_09_23_openai https://erdosproblems.ai/wiki/problems/distance_problems/E1085/claims https://erdosproblems.ai/wiki/problems/distance_problems/E1086 https://erdosproblems.ai/wiki/problems/distance_problems/E1087 https://erdosproblems.ai/wiki/problems/distance_problems/E1089 https://erdosproblems.ai/wiki/problems/distance_problems/E1089/claims/2026_01_29_feng https://erdosproblems.ai/wiki/problems/distance_problems/E1089/claims https://erdosproblems.ai/wiki/problems/distance_problems/E1207 https://erdosproblems.ai/wiki/problems/distance_problems/E1207/claims/2026_07_06_lee_pohoata_zhu https://erdosproblems.ai/wiki/problems/distance_problems/E1207/claims https://erdosproblems.ai/wiki/problems/distance_problems/E1208 https://erdosproblems.ai/wiki/problems/distance_problems https://erdosproblems.ai/wiki/problems/divisors/E0018 https://erdosproblems.ai/wiki/problems/divisors/E0018/claims/2026_07_24_price https://erdosproblems.ai/wiki/problems/divisors/E0018/claims/2026_09_16_jenw1n https://erdosproblems.ai/wiki/problems/divisors/E0018/claims/2026_09_16_van_doorn https://erdosproblems.ai/wiki/problems/divisors/E0018/claims https://erdosproblems.ai/wiki/problems/divisors/E0026 https://erdosproblems.ai/wiki/problems/divisors/E0026/claims/1951_01_01_davenport_erdos https://erdosproblems.ai/wiki/problems/divisors/E0026/claims/1995_01_01_ruzsa https://erdosproblems.ai/wiki/problems/divisors/E0026/claims/2026_04_06_deepmind https://erdosproblems.ai/wiki/problems/divisors/E0026/claims https://erdosproblems.ai/wiki/problems/divisors/E0056 https://erdosproblems.ai/wiki/problems/divisors/E0056/claims/1994_01_01_ahlswede_khachatrian https://erdosproblems.ai/wiki/problems/divisors/E0056/claims/1995_01_01_ahlswede_khachatrian https://erdosproblems.ai/wiki/problems/divisors/E0056/claims https://erdosproblems.ai/wiki/problems/divisors/E0143 https://erdosproblems.ai/wiki/problems/divisors/E0143/claims/2025_02_13_koukoulopoulos_lamzouri_lichtman https://erdosproblems.ai/wiki/problems/divisors/E0143/claims/2026_10_02_apicella https://erdosproblems.ai/wiki/problems/divisors/E0143/claims https://erdosproblems.ai/wiki/problems/divisors/E0144 https://erdosproblems.ai/wiki/problems/divisors/E0144/claims/1964_01_01_erdos https://erdosproblems.ai/wiki/problems/divisors/E0144/claims/1984_02_01_maier_tenenbaum https://erdosproblems.ai/wiki/problems/divisors/E0144/claims https://erdosproblems.ai/wiki/problems/divisors/E0164 https://erdosproblems.ai/wiki/problems/divisors/E0164/claims/2022_02_04_lichtman https://erdosproblems.ai/wiki/problems/divisors/E0164/claims/2026_05_01_alexeev_barreto_li_lichtman_price_shah_tang_tao https://erdosproblems.ai/wiki/problems/divisors/E0164/claims https://erdosproblems.ai/wiki/problems/divisors/E0381 https://erdosproblems.ai/wiki/problems/divisors/E0381/claims/1944_07_01_erdos https://erdosproblems.ai/wiki/problems/divisors/E0381/claims/1971_02_01_nicolas https://erdosproblems.ai/wiki/problems/divisors/E0381/claims https://erdosproblems.ai/wiki/problems/divisors/E0444 https://erdosproblems.ai/wiki/problems/divisors/E0444/claims/1982_08_01_erdos_sarkozy https://erdosproblems.ai/wiki/problems/divisors/E0444/claims https://erdosproblems.ai/wiki/problems/divisors/E0446 https://erdosproblems.ai/wiki/problems/divisors/E0446/claims/2004_01_18_ford https://erdosproblems.ai/wiki/problems/divisors/E0446/claims https://erdosproblems.ai/wiki/problems/divisors/E0448 https://erdosproblems.ai/wiki/problems/divisors/E0448/claims/1981_01_01_erdos_tenenbaum https://erdosproblems.ai/wiki/problems/divisors/E0448/claims/1988_09_15_hall_tenenbaum https://erdosproblems.ai/wiki/problems/divisors/E0448/claims https://erdosproblems.ai/wiki/problems/divisors/E0449 https://erdosproblems.ai/wiki/problems/divisors/E0449/claims/2024_07_13_ford https://erdosproblems.ai/wiki/problems/divisors/E0449/claims https://erdosproblems.ai/wiki/problems/divisors/E0450 https://erdosproblems.ai/wiki/problems/divisors/E0450/claims/2026_07_15_snyder https://erdosproblems.ai/wiki/problems/divisors/E0450/claims https://erdosproblems.ai/wiki/problems/divisors/E0468 https://erdosproblems.ai/wiki/problems/divisors/E0469 https://erdosproblems.ai/wiki/problems/divisors/E0469/claims/2026_07_13_lewis https://erdosproblems.ai/wiki/problems/divisors/E0469/claims https://erdosproblems.ai/wiki/problems/divisors/E0470 https://erdosproblems.ai/wiki/problems/divisors/E0470/claims/2014_09_16_melfi https://erdosproblems.ai/wiki/problems/divisors/E0470/claims https://erdosproblems.ai/wiki/problems/divisors/E0486 https://erdosproblems.ai/wiki/problems/divisors/E0486/claims/1936_01_01_davenport_erdos https://erdosproblems.ai/wiki/problems/divisors/E0486/claims/2026_07_16_wang https://erdosproblems.ai/wiki/problems/divisors/E0486/claims https://erdosproblems.ai/wiki/problems/divisors/E0534 https://erdosproblems.ai/wiki/problems/divisors/E0534/claims/1996_01_01_ahlswede_khachatrian https://erdosproblems.ai/wiki/problems/divisors/E0534/claims https://erdosproblems.ai/wiki/problems/divisors/E0673 https://erdosproblems.ai/wiki/problems/divisors/E0673/claims/1982_01_01_erdos https://erdosproblems.ai/wiki/problems/divisors/E0673/claims/1983_01_01_erdos_tenenbaum https://erdosproblems.ai/wiki/problems/divisors/E0673/claims https://erdosproblems.ai/wiki/problems/divisors/E0692 https://erdosproblems.ai/wiki/problems/divisors/E0692/claims/2025_01_17_cambie https://erdosproblems.ai/wiki/problems/divisors/E0692/claims https://erdosproblems.ai/wiki/problems/divisors/E0693 https://erdosproblems.ai/wiki/problems/divisors/E0696 https://erdosproblems.ai/wiki/problems/divisors/E0696/claims/2026_04_25_treasure42 https://erdosproblems.ai/wiki/problems/divisors/E0696/claims/2026_04_26_turturean https://erdosproblems.ai/wiki/problems/divisors/E0696/claims https://erdosproblems.ai/wiki/problems/divisors/E0697 https://erdosproblems.ai/wiki/problems/divisors/E0697/claims/1992_11_01_hall https://erdosproblems.ai/wiki/problems/divisors/E0697/claims https://erdosproblems.ai/wiki/problems/divisors/E0844 https://erdosproblems.ai/wiki/problems/divisors/E0844/claims/2025_07_01_weisenberg https://erdosproblems.ai/wiki/problems/divisors/E0844/claims/2025_07_02_alexeev_mixon_sawin https://erdosproblems.ai/wiki/problems/divisors/E0844/claims https://erdosproblems.ai/wiki/problems/divisors/E0858 https://erdosproblems.ai/wiki/problems/divisors/E0858/claims/2026_04_15_chojecki https://erdosproblems.ai/wiki/problems/divisors/E0858/claims https://erdosproblems.ai/wiki/problems/divisors/E0859 https://erdosproblems.ai/wiki/problems/divisors/E0859/claims/2026_09_18_kruer_kohlmeyer https://erdosproblems.ai/wiki/problems/divisors/E0859/claims https://erdosproblems.ai/wiki/problems/divisors/E0872 https://erdosproblems.ai/wiki/problems/divisors/E0872/claims/2026_02_14_price https://erdosproblems.ai/wiki/problems/divisors/E0872/claims/2026_07_24_buddhdev https://erdosproblems.ai/wiki/problems/divisors/E0872/claims https://erdosproblems.ai/wiki/problems/divisors/E0882 https://erdosproblems.ai/wiki/problems/divisors/E0882/claims/1999_04_01_erdos_lev_rauzy_sandor_sarkozy https://erdosproblems.ai/wiki/problems/divisors/E0882/claims/2026_07_27_korsky https://erdosproblems.ai/wiki/problems/divisors/E0882/claims https://erdosproblems.ai/wiki/problems/divisors/E0884 https://erdosproblems.ai/wiki/problems/divisors/E0884/claims/2025_09_10_tao https://erdosproblems.ai/wiki/problems/divisors/E0884/claims/2026_03_27_larsen https://erdosproblems.ai/wiki/problems/divisors/E0884/claims https://erdosproblems.ai/wiki/problems/divisors/E0885 https://erdosproblems.ai/wiki/problems/divisors/E0885/claims/1997_01_01_erdos_rosenfeld https://erdosproblems.ai/wiki/problems/divisors/E0885/claims/1999_09_01_jimenez_urroz https://erdosproblems.ai/wiki/problems/divisors/E0885/claims/2019_05_28_bremner https://erdosproblems.ai/wiki/problems/divisors/E0885/claims/2026_09_23_sanexxxx777 https://erdosproblems.ai/wiki/problems/divisors/E0885/claims https://erdosproblems.ai/wiki/problems/divisors/E0886 https://erdosproblems.ai/wiki/problems/divisors/E0886/claims/1997_01_01_erdos_rosenfeld https://erdosproblems.ai/wiki/problems/divisors/E0886/claims https://erdosproblems.ai/wiki/problems/divisors/E0887 https://erdosproblems.ai/wiki/problems/divisors/E0887/claims/2013_03_08_chan https://erdosproblems.ai/wiki/problems/divisors/E0887/claims/2014_06_09_chan https://erdosproblems.ai/wiki/problems/divisors/E0887/claims https://erdosproblems.ai/wiki/problems/divisors/E0892 https://erdosproblems.ai/wiki/problems/divisors/E0893 https://erdosproblems.ai/wiki/problems/divisors/E0893/claims/2025_06_05_kovac_luca https://erdosproblems.ai/wiki/problems/divisors/E0893/claims/2025_06_05_kovac_luca_conditional https://erdosproblems.ai/wiki/problems/divisors/E0893/claims https://erdosproblems.ai/wiki/problems/divisors/E0945 https://erdosproblems.ai/wiki/problems/divisors/E0946 https://erdosproblems.ai/wiki/problems/divisors/E0946/claims/1984_06_01_heath_brown https://erdosproblems.ai/wiki/problems/divisors/E0946/claims/1987_10_01_hildebrand https://erdosproblems.ai/wiki/problems/divisors/E0946/claims/1997_12_01_pinner https://erdosproblems.ai/wiki/problems/divisors/E0946/claims https://erdosproblems.ai/wiki/problems/divisors/E0964 https://erdosproblems.ai/wiki/problems/divisors/E0964/claims/2025_04_27_eberhard https://erdosproblems.ai/wiki/problems/divisors/E0964/claims https://erdosproblems.ai/wiki/problems/divisors/E1054 https://erdosproblems.ai/wiki/problems/divisors/E1054/claims/2026_05_11_kovac https://erdosproblems.ai/wiki/problems/divisors/E1054/claims/2026_06_22_principia_math https://erdosproblems.ai/wiki/problems/divisors/E1054/claims/2026_10_03_chae_fraiture_hou_kovac_kudeba_shakov_vidal https://erdosproblems.ai/wiki/problems/divisors/E1054/claims/2026_10_05_xu https://erdosproblems.ai/wiki/problems/divisors/E1054/claims https://erdosproblems.ai/wiki/problems/divisors/E1099 https://erdosproblems.ai/wiki/problems/divisors/E1099/claims/1984_10_01_vose https://erdosproblems.ai/wiki/problems/divisors/E1099/claims/1987_01_01_tenenbaum https://erdosproblems.ai/wiki/problems/divisors/E1099/claims https://erdosproblems.ai/wiki/problems/divisors/E1100 https://erdosproblems.ai/wiki/problems/divisors/E1100/claims/1989_03_01_erdos_tenenbaum https://erdosproblems.ai/wiki/problems/divisors/E1100/claims/2026_07_31_korsky https://erdosproblems.ai/wiki/problems/divisors/E1100/claims/2026_08_04_ross https://erdosproblems.ai/wiki/problems/divisors/E1100/claims https://erdosproblems.ai/wiki/problems/divisors/E1196 https://erdosproblems.ai/wiki/problems/divisors/E1196/claims/2026_04_13_price https://erdosproblems.ai/wiki/problems/divisors/E1196/claims/2026_04_16_sothanaphan https://erdosproblems.ai/wiki/problems/divisors/E1196/claims https://erdosproblems.ai/wiki/problems/divisors/E1217 https://erdosproblems.ai/wiki/problems/divisors/E1217/claims/2026_04_16_tang_li https://erdosproblems.ai/wiki/problems/divisors/E1217/claims/2026_05_01_alexeev_barreto_li_lichtman_price_shah_tang_tao https://erdosproblems.ai/wiki/problems/divisors/E1217/claims https://erdosproblems.ai/wiki/problems/divisors https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0022 https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0022/claims/2012_08_16_fox_loh_zhao https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0022/claims https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0023 https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0023/claims/2026_06_26_ferudun https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0023/claims https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0024 https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0024/claims/2011_02_04_grzesik https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0024/claims/2011_02_08_hatami_hladky_kral_norine_razborov https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0024/claims https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0059 https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0059/claims/1986_12_01_erdos_frankl_rodl https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0059/claims/2013_09_11_morris_saxton https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0059/claims https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0060 https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0060/claims/2019_12_02_he_ma_yang https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0060/claims https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0061 https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0061/claims/1989_10_01_erdos_hajnal https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0061/claims/2001_04_01_alon_pach_solymosi https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0061/claims/2008_06_28_chudnovsky_safra https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0061/claims/2021_02_09_chudnovsky_scott_seymour_spirkl https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0061/claims/2023_07_12_nguyen_scott_seymour https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0061/claims/2023_12_23_nguyen_scott_seymour https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0061/claims/2026_06_04_huang_ju_zhou https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0061/claims https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0062 https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0064 https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0064/claims/1998_01_01_shauger https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0064/claims/2001_01_01_daniel_shauger https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0064/claims/2004_01_01_markstrom https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0064/claims/2011_09_18_nowbandegani_esfandiari https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0064/claims/2011_09_25_nowbandegani_esfandiari_haghighi_bibak https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0064/claims/2013_04_09_heckman_krakovski https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0064/claims/2017_11_21_ghaffari_mostaghim https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0064/claims/2020_10_29_liu_montgomery https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0064/claims/2021_01_01_ghasemi_varmazyar https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0064/claims/2021_09_03_gao_shan https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0064/claims/2023_08_10_hu_shen https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0064/claims/2024_10_30_hegde_sandeep_shashank https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0064/claims/2025_08_25_carr https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0064/claims/2026_08_02_tranquilli https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0064/claims/2026_08_19_duran_ballester https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0064/claims/2026_09_04_garcia https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0064/claims/2026_10_02_temeller https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0064/claims https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0065 https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0065/claims/1984_12_01_gyarfas_komlos_szemeredi https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0065/claims/2020_10_29_liu_montgomery https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0065/claims/2026_09_22_milojevic_montgomery_pokrovskiy_sudakov https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0065/claims https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0071 https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0071/claims/1977_03_01_bollobas https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0071/claims https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0072 https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0072/claims/2005_03_21_verstraete https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0072/claims/2020_10_29_liu_montgomery https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0072/claims https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0073 https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0073/claims/1999_02_01_reed https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0073/claims https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0081 https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0081/claims/2026_06_17_agbanwa https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0081/claims/2026_08_23_traverso https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0081/claims/2026_09_08_morluto_luo_huang_lee https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0081/claims/2026_09_15_okechukwu https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0081/claims/2026_09_22_traverso https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0081/claims https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0082 https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0084 https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0084/claims/2004_09_01_verstraete https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0084/claims/2025_01_17_nenadov https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0084/claims https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0086 https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0113 https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0113/claims/2021_09_13_janzer https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0113/claims/2026_08_01_openai https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0113/claims https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0127 https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0127/claims/1996_09_01_alon https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0127/claims https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0128 https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0128/claims/1995_03_01_krivelevich https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0128/claims/2006_01_05_keevash_sudakov https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0128/claims/2013_11_22_norin_yepremyan https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0128/claims/2021_04_19_razborov https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0128/claims https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0133 https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0133/claims/1984_01_01_hanson_seyffarth https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0133/claims/1994_01_01_furedi_seress https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0133/claims/2017_03_12_haviv_levy https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0133/claims/2026_09_15_korsky https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0133/claims https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0134 https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0134/claims/1998_01_01_erdos_gyarfas_ruszinko https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0134/claims/2024_07_01_alon https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0134/claims https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0136 https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0136/claims/1997_12_01_erdos_gyarfas https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0136/claims/2022_07_06_bennett_cushman_dudek_pralat https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0136/claims/2022_08_26_joos_mubayi https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0136/claims https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0146 https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0146/claims/2003_11_01_alon_krivelevich_sudakov https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0146/claims/2026_08_01_openai https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0146/claims https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0147 https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0147/claims/2020_06_01_janzer https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0147/claims/2021_09_13_janzer https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0147/claims https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0149 https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0149/claims/1992_10_01_andersen https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0149/claims/1993_06_01_horak_he_trotter https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0149/claims/2000_10_01_mahdian https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0149/claims/2002_01_01_vu https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0149/claims https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0150 https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0150/claims/2008_03_09_fomin_villanger https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0150/claims/2008_07_02_fomin_kratsch_todinca_villanger https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0150/claims/2015_03_04_gaspers_mackenzie https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0150/claims/2024_09_04_bradac https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0150/claims https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0151 https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0151/claims/1990_12_01_tuza https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0151/claims/2026_09_28_veljjanoski https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0151/claims https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0167 https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0167/claims/2024_05_18_chahua_gutierrez https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0167/claims https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0180 https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0180/claims/2022_07_25_wigderson https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0180/claims/2026_04_28_kj_c https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0180/claims/2026_08_01_openai https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0180/claims https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0182 https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0182/claims/1985_12_01_pyber https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0182/claims/1995_01_01_pyber_rodl_szemeredi https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0182/claims/2022_04_26_janzer_sudakov https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0182/claims/2024_11_18_chakraborti_janzer_methuku_montgomery https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0182/claims/2026_08_24_korsky https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0182/claims https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0184 https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0184/claims/2026_09_24_openai https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0184/claims/2026_10_01_coffey https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0184/claims https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0426 https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0426/claims/2024_10_21_bradac_christoph https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0426/claims https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0500 https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0533 https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0533/claims/1994_09_01_erdos_hajnal_simonovits_sos_szemeredi https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0533/claims/2011_09_20_balogh_lenz https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0533/claims/2021_03_18_liu_reiher_sharifzadeh_staden https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0533/claims https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0548 https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0548/claims/1959_09_01_erdos_gallai https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0548/claims/2026_09_03_adamczewski https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0548/claims/2026_09_04_reed_stein https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0548/claims/2026_09_07_debiasio https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0548/claims/2026_09_14_riordan_scott https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0548/claims/2026_09_18_frederickson https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0548/claims https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0571 https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0571/claims/2018_06_07_jiang_ma_yepremyan https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0571/claims/2018_11_16_kang_kim_liu https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0571/claims/2019_03_25_conlon_janzer_lee https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0571/claims/2019_05_22_jiang_qiu https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0571/claims/2019_08_06_jiang_qiu https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0571/claims/2020_07_06_jiang_jiang_ma https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0571/claims/2022_03_07_conlon_janzer https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0571/claims/2026_07_21_jiang_longbrake_yepremyan https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0571/claims/2026_09_03_adamczewski https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0571/claims https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0572 https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0572/claims/1966_01_01_benson https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0572/claims/1995_01_01_lazebnik_ustimenko_woldar https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0572/claims https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0573 https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0574 https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0574/claims/1994_03_01_lazebnik_ustimenko_woldar https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0574/claims/2005_06_10_furedi_naor_verstraete https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0574/claims https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0575 https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0575/claims/2022_07_25_wigderson https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0575/claims/2026_08_01_openai https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0575/claims https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0576 https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0577 https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0577/claims/2010_05_19_wang https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0577/claims https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0578 https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0578/claims/2000_03_01_riordan https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0578/claims https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0579 https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0579/claims/1983_03_01_erdos_hajnal_sos_szemeredi https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0579/claims/2026_10_03_jordan https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0579/claims https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0580 https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0580/claims/2011_02_04_zhao https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0580/claims/2026_07_14_zeraoulia https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0580/claims https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0581 https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0581/claims/1996_09_01_alon https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0581/claims https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0583 https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0583/claims/1968_01_01_lovasz https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0583/claims/1996_01_01_pyber https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0583/claims/2004_11_11_fan https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0583/claims/2016_09_20_bonamy_perrett https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0583/claims/2021_08_24_blanche_bonamy_bonichon https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0583/claims/2022_11_14_anto_basavaraju https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0583/claims/2025_08_18_chu_fan_zhou https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0583/claims/2026_08_31_sallerk https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0583/claims/2026_09_17_herong https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0583/claims https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0584 https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0584/claims/2007_06_13_fox_sudakov https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0584/claims/2026_06_02_li https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0584/claims https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0585 https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0600 https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0608 https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0608/claims/2016_05_29_grzesik_hu_volec https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0608/claims https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0610 https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0610/claims/2020_06_19_joret_micek_reed_smid https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0610/claims/2026_04_21_przemek_chojecki https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0610/claims https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0611 https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0612 https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0612/claims/1989_08_01_erdos_pach_pollack_tuza https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0612/claims/2020_09_05_czabarka_singgih_szekely https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0612/claims/2025_02_12_cambie_jooken https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0612/claims/2026_09_03_chen_chen https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0612/claims/2026_09_08_kitamura https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0612/claims https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0614 https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0614/claims/2026_01_07_ma_tang https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0614/claims https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0616 https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0616/claims/1991_09_01_erdos_hajnal_tuza https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0616/claims https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0617 https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0617/claims/1978_01_01_chung_liu https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0617/claims/1999_04_01_erdos_gyarfas https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0617/claims/2026_07_18_sneiderman_r5 https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0617/claims/2026_07_18_sneiderman_r6 https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0617/claims/2026_07_20_sneiderman_r7_r8 https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0617/claims/2026_07_21_silverstein https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0617/claims/2026_07_21_sneiderman_r9 https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0617/claims/2026_07_25_rose https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0617/claims/2026_07_31_winter https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0617/claims/2026_08_11_terpstra https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0617/claims https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0618 https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0618/claims/1998_04_01_erdos_gyarfas_ruszinko https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0618/claims/2024_07_01_alon https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0618/claims https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0619 https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0619/claims/2026_06_14_kuhn https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0619/claims https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0620 https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0620/claims/2013_08_21_dudek_mubayi https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0620/claims/2024_01_04_mubayi_verstraete https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0620/claims/2026_07_17_morris_sahasrabudhe_verstraete https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0620/claims https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0621 https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0621/claims/2016_02_13_norin_sun https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0621/claims https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0622 https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0622/claims/2025_03_03_draganic_keevash_muyesser https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0622/claims https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0641 https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0641/claims/2024_10_03_janzer_steiner_sudakov https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0641/claims https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0642 https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0666 https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0666/claims/1992_07_01_chung https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0666/claims/1993_03_01_brouwer_dejter_thomassen https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0666/claims https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0712 https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0713 https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0714 https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0714/claims/1954_01_01_kovari_sos_turan https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0714/claims/1966_02_01_erdos_renyi_sos https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0714/claims/1966_08_01_brown https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0714/claims https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0715 https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0715/claims/1982_02_04_tashkinov https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0715/claims https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0717 https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0717/claims/2011_07_11_fox_lee_sudakov https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0717/claims https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0718 https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0718/claims/1996_03_01_komlos_szemeredi https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0718/claims/1996_09_01_bollobas_thomason https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0718/claims https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0742 https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0742/claims/1987_12_01_fan https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0742/claims/1988_03_01_furedi https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0742/claims/2026_08_05_jstar https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0742/claims https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0743 https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0743/claims/1978_01_01_gyarfas_lehel https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0743/claims/1983_09_01_fishburn https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0743/claims/1990_01_01_guichard_massman https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0743/claims/2016_06_13_joos_kim_kuhn_osthus https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0743/claims/2021_06_22_allen_bottcher_clemens_hladky_piguet_taraz https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0743/claims/2024_10_17_chalise_clark_gnang https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0743/claims https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0745 https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0745/claims/1980_01_01_komlos_sulyok_szemeredi https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0745/claims/1997_04_01_aldous https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0745/claims/2026_08_25_alexeev https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0745/claims/2026_10_04_ding https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0745/claims https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0746 https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0746/claims/1976_01_01_posa https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0746/claims/1976_01_22_korshunov https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0746/claims/1983_01_01_komlos_szemeredi https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0746/claims https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0752 https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0752/claims/1999_04_01_erdos_faudree_rousseau_schelp https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0752/claims/2007_07_14_sudakov_verstraete https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0752/claims https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0765 https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0765/claims/1966_01_01_erdos_renyi_sos https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0765/claims/1966_08_01_brown https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0765/claims https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0766 https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0767 https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0767/claims/1961_01_01_posa https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0767/claims/2004_04_07_jiang https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0767/claims/2026_09_14_chen_ning https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0767/claims https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0777 https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0777/claims/1985_12_01_alon_frankl https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0777/claims/2014_11_15_alon_das_glebov_sudakov https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0777/claims https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0778 https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0778/claims/2025_05_06_cambie_provoost https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0778/claims/2026_08_05_didin_pimenov https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0778/claims https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0794 https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0794/claims/2025_09_08_harris https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0794/claims/2026_02_06_alexeev https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0794/claims https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0802 https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0802/claims/1980_11_01_ajtai_komlos_szemeredi https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0802/claims/2026_09_25_openai https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0802/claims https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0803 https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0803/claims/2007_09_17_alon https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0803/claims https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0804 https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0804/claims/2007_06_27_alon_sudakov https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0804/claims https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0805 https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0805/claims/2007_06_27_alon_sudakov https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0805/claims/2020_04_09_alon_bucic_sudakov https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0805/claims https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0807 https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0807/claims/2014_02_26_alon https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0807/claims/2014_09_22_alon_bohman_huang https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0807/claims https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0813 https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0813/claims/2020_07_07_bucic_sudakov https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0813/claims https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0814 https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0814/claims/2017_05_28_sauermann https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0814/claims https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0815 https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0815/claims/1988_01_01_erdos_faudree_gyarfas_schelp https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0815/claims/2014_08_22_narins_pokrovskiy_szabo https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0815/claims https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0816 https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0816/claims/2025_03_25_chen_ma https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0816/claims/2025_05_01_liu_zeng https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0816/claims https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0883 https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0883/claims/1996_12_02_erdos_sarkozy https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0883/claims/1999_05_01_sarkozy https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0883/claims/2026_07_27_della_pietra https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0883/claims/2026_10_05_pan https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0883/claims https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0900 https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0900/claims/1981_03_01_ajtai_komlos_szemeredi https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0900/claims https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0902 https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0902/claims/1963_10_01_erdos https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0902/claims/1965_10_01_szekeres_szekeres https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0902/claims/2004_03_01_reid_mcrae_hedetniemi_hedetniemi https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0902/claims https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0904 https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0904/claims/1978_01_01_edwards https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0904/claims/1992_09_01_faudree https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0904/claims/2004_10_08_bollobas_nikiforov https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0904/claims https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0905 https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0905/claims/1977_01_01_edwards https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0905/claims/1979_10_01_khadzhiivanov_nikiforov https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0905/claims/2004_05_05_bollobas_nikiforov https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0905/claims https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0914 https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0914/claims/1952_01_01_dirac https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0914/claims/1963_09_01_corradi_hajnal https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0914/claims/1970_01_01_hajnal_szemeredi https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0914/claims/2008_03_01_kierstead_kostochka https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0914/claims/2010_03_01_kierstead_kostochka_mydlarz_szemeredi https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0914/claims https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0915 https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0915/claims/1960_01_01_bartfai https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0915/claims/1966_01_01_bollobas https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0915/claims/1973_09_01_leonard https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0915/claims/1973_09_01_mader https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0915/claims/1974_10_01_sorensen_thomassen https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0915/claims https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0916 https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0916/claims/1974_12_01_thomassen https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0916/claims https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0926 https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0926/claims/1991_03_01_furedi https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0926/claims/2003_11_01_alon_krivelevich_sudakov https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0926/claims https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0927 https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0927/claims/1965_03_01_moon_moser https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0927/claims/1966_12_01_erdos https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0927/claims/1971_02_01_spencer https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0927/claims https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0934 https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0934/claims/1990_04_01_chung_gyarfas_tuza_trotter https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0934/claims/2021_03_22_cambie_cames_van_batenburg_de_joannis_de_verclos_kang https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0934/claims/2026_07_02_kumar_mohar_pragada https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0934/claims/2026_07_29_korsky https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0934/claims/2026_08_17_bitterlemma https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0934/claims https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0993 https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0993/claims/2026_09_17_fang_lu_nevo_yao_zheng https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0993/claims/2026_09_27_zhang_li https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E0993/claims https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E1006 https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E1006/claims/1978_11_01_nesetril_rodl https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E1006/claims/1987_01_01_pretzel https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E1006/claims https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E1007 https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E1007/claims/2013_06_04_house https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E1007/claims/2016_02_01_chaffee_noble https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E1007/claims https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E1008 https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E1008/claims/2014_01_27_conlon_fox_sudakov https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E1008/claims/2025_09_13_zach_hunter https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E1008/claims/2026_01_20_alexeev https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E1008/claims https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E1009 https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E1009/claims/1988_01_01_gyori https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E1009/claims https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E1010 https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E1010/claims/1962_03_01_erdos https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E1010/claims/1976_01_01_lovasz_simonovits https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E1010/claims/1981_01_01_nikiforov_khadzhiivanov https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E1010/claims/2026_08_26_alexeev https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E1010/claims https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E1011 https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E1011/claims/1941_01_01_turan https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E1011/claims/1962_03_01_erdos https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E1011/claims/2024_04_11_ren_wang_wang_yang https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E1011/claims/2026_09_10_kentakitamura https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E1011/claims/2026_09_19_kentakitamura https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E1011/claims https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E1012 https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E1012/claims/1961_12_01_ore https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E1012/claims/1971_09_01_bondy https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E1012/claims/1972_05_01_woodall https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E1012/claims https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E1016 https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E1016/claims/2026_09_24_knt https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E1016/claims https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E1017 https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E1018 https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E1018/claims/1988_03_01_kostochka_pyber https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E1018/claims https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E1019 https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E1019/claims/1971_01_01_simonovits https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E1019/claims https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E1021 https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E1021/claims/1974_04_01_bondy_simonovits https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E1021/claims/2018_07_13_conlon_lee https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E1021/claims/2018_09_03_janzer https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E1021/claims https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E1031 https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E1031/claims/1999_11_01_promel_rodl https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E1031/claims https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E1033 https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E1033/claims/2026_07_27_wouter_cvb https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E1033/claims https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E1034 https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E1034/claims/2025_10_20_ma_tang https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E1034/claims https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E1035 https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E1036 https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E1036/claims/1989_05_01_erdos_hajnal https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E1036/claims/1997_07_15_shelah https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E1036/claims https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E1037 https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E1037/claims/2025_09_22_cambie_chan_hunter https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E1037/claims https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E1066 https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E1077 https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E1077/claims/2025_12_24_alexeev https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E1077/claims/2025_12_28_jungao https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E1077/claims/2026_08_16_alexeev https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E1077/claims https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E1078 https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E1078/claims/2001_07_01_haxell https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E1078/claims/2006_01_01_haxell_szabo https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E1078/claims https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E1079 https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E1079/claims/1981_08_01_bollobas_thomason https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E1079/claims/1983_02_01_bondy https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E1079/claims https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E1080 https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E1080/claims/1992_01_01_de_caen_szekely https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E1080/claims/1994_05_01_lazebnik_ustimenko_woldar https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E1080/claims https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E1111 https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E1111/claims/1980_12_01_wagon https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E1111/claims/1985_12_01_el_zahar_erdos https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E1111/claims https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E1155 https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E1155/claims/2026_09_25_openai https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E1155/claims https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E1157 https://erdosproblems.ai/wiki/problems/extremal_graph_theory/E1158 https://erdosproblems.ai/wiki/problems/extremal_graph_theory https://erdosproblems.ai/wiki/problems/factorials_binomials/E0175 https://erdosproblems.ai/wiki/problems/factorials_binomials/E0175/claims/1985_02_01_sarkozy https://erdosproblems.ai/wiki/problems/factorials_binomials/E0175/claims/1995_01_01_velammal https://erdosproblems.ai/wiki/problems/factorials_binomials/E0175/claims/1996_06_01_granville_ramare https://erdosproblems.ai/wiki/problems/factorials_binomials/E0175/claims https://erdosproblems.ai/wiki/problems/factorials_binomials/E0373 https://erdosproblems.ai/wiki/problems/factorials_binomials/E0373/claims/2007_11_01_luca https://erdosproblems.ai/wiki/problems/factorials_binomials/E0373/claims https://erdosproblems.ai/wiki/problems/factorials_binomials/E0376 https://erdosproblems.ai/wiki/problems/factorials_binomials/E0377 https://erdosproblems.ai/wiki/problems/factorials_binomials/E0378 https://erdosproblems.ai/wiki/problems/factorials_binomials/E0378/claims/1996_06_01_granville_ramare https://erdosproblems.ai/wiki/problems/factorials_binomials/E0378/claims https://erdosproblems.ai/wiki/problems/factorials_binomials/E0379 https://erdosproblems.ai/wiki/problems/factorials_binomials/E0379/claims/2025_08_28_cambie_kovac_tao https://erdosproblems.ai/wiki/problems/factorials_binomials/E0379/claims/2025_12_21_yuan https://erdosproblems.ai/wiki/problems/factorials_binomials/E0379/claims https://erdosproblems.ai/wiki/problems/factorials_binomials/E0384 https://erdosproblems.ai/wiki/problems/factorials_binomials/E0384/claims/1969_05_01_ecklund https://erdosproblems.ai/wiki/problems/factorials_binomials/E0384/claims/2026_08_17_alexeev https://erdosproblems.ai/wiki/problems/factorials_binomials/E0384/claims https://erdosproblems.ai/wiki/problems/factorials_binomials/E0386 https://erdosproblems.ai/wiki/problems/factorials_binomials/E0386/claims/2026_09_29_martins https://erdosproblems.ai/wiki/problems/factorials_binomials/E0386/claims/2026_09_30_mysore https://erdosproblems.ai/wiki/problems/factorials_binomials/E0386/claims https://erdosproblems.ai/wiki/problems/factorials_binomials/E0387 https://erdosproblems.ai/wiki/problems/factorials_binomials/E0387/claims/2026_05_29_chojecki https://erdosproblems.ai/wiki/problems/factorials_binomials/E0387/claims/2026_06_30_bui_naprienko_pratt_zaharescu https://erdosproblems.ai/wiki/problems/factorials_binomials/E0387/claims https://erdosproblems.ai/wiki/problems/factorials_binomials/E0390 https://erdosproblems.ai/wiki/problems/factorials_binomials/E0390/claims/1982_01_01_erdos_guy_selfridge https://erdosproblems.ai/wiki/problems/factorials_binomials/E0390/claims/2026_05_02_mausberg https://erdosproblems.ai/wiki/problems/factorials_binomials/E0390/claims/2026_07_18_wang https://erdosproblems.ai/wiki/problems/factorials_binomials/E0390/claims https://erdosproblems.ai/wiki/problems/factorials_binomials/E0391 https://erdosproblems.ai/wiki/problems/factorials_binomials/E0391/claims/2025_03_26_alexeev_conway_rosenfeld_sutherland_tao_uhr_ventullo https://erdosproblems.ai/wiki/problems/factorials_binomials/E0391/claims https://erdosproblems.ai/wiki/problems/factorials_binomials/E0392 https://erdosproblems.ai/wiki/problems/factorials_binomials/E0392/claims/2026_01_03_tao https://erdosproblems.ai/wiki/problems/factorials_binomials/E0392/claims https://erdosproblems.ai/wiki/problems/factorials_binomials/E0393 https://erdosproblems.ai/wiki/problems/factorials_binomials/E0393/claims/1992_10_01_berend_osgood https://erdosproblems.ai/wiki/problems/factorials_binomials/E0393/claims/2002_01_01_luca https://erdosproblems.ai/wiki/problems/factorials_binomials/E0393/claims/2022_04_18_bui_pratt_zaharescu https://erdosproblems.ai/wiki/problems/factorials_binomials/E0393/claims/2026_05_03_turturean https://erdosproblems.ai/wiki/problems/factorials_binomials/E0393/claims https://erdosproblems.ai/wiki/problems/factorials_binomials/E0396 https://erdosproblems.ai/wiki/problems/factorials_binomials/E0396/claims/2024_07_29_stephan https://erdosproblems.ai/wiki/problems/factorials_binomials/E0396/claims/2024_08_01_wu https://erdosproblems.ai/wiki/problems/factorials_binomials/E0396/claims/2025_02_25_alekseyev https://erdosproblems.ai/wiki/problems/factorials_binomials/E0396/claims/2026_03_18_kesarwani https://erdosproblems.ai/wiki/problems/factorials_binomials/E0396/claims/2026_03_23_dehorty https://erdosproblems.ai/wiki/problems/factorials_binomials/E0396/claims/2026_04_03_dehorty_kesarwani https://erdosproblems.ai/wiki/problems/factorials_binomials/E0396/claims https://erdosproblems.ai/wiki/problems/factorials_binomials/E0397 https://erdosproblems.ai/wiki/problems/factorials_binomials/E0397/claims/2026_01_11_somani https://erdosproblems.ai/wiki/problems/factorials_binomials/E0397/claims/2026_01_29_feng https://erdosproblems.ai/wiki/problems/factorials_binomials/E0397/claims https://erdosproblems.ai/wiki/problems/factorials_binomials/E0398 https://erdosproblems.ai/wiki/problems/factorials_binomials/E0398/claims/2015_04_25_cerda https://erdosproblems.ai/wiki/problems/factorials_binomials/E0398/claims/2017_02_14_sabihi https://erdosproblems.ai/wiki/problems/factorials_binomials/E0398/claims/2025_08_15_naciri https://erdosproblems.ai/wiki/problems/factorials_binomials/E0398/claims/2026_02_05_maiti https://erdosproblems.ai/wiki/problems/factorials_binomials/E0398/claims https://erdosproblems.ai/wiki/problems/factorials_binomials/E0399 https://erdosproblems.ai/wiki/problems/factorials_binomials/E0399/claims/1937_01_01_erdos_oblath https://erdosproblems.ai/wiki/problems/factorials_binomials/E0399/claims/1973_05_01_pollack_shapiro https://erdosproblems.ai/wiki/problems/factorials_binomials/E0399/claims/2025_04_07_barfield https://erdosproblems.ai/wiki/problems/factorials_binomials/E0399/claims/2025_09_09_cambie https://erdosproblems.ai/wiki/problems/factorials_binomials/E0399/claims https://erdosproblems.ai/wiki/problems/factorials_binomials/E0400 https://erdosproblems.ai/wiki/problems/factorials_binomials/E0401 https://erdosproblems.ai/wiki/problems/factorials_binomials/E0401/claims/2026_01_11_barreto_price https://erdosproblems.ai/wiki/problems/factorials_binomials/E0401/claims/2026_01_11_sothanaphan https://erdosproblems.ai/wiki/problems/factorials_binomials/E0401/claims https://erdosproblems.ai/wiki/problems/factorials_binomials/E0403 https://erdosproblems.ai/wiki/problems/factorials_binomials/E0403/claims/1976_01_01_lin https://erdosproblems.ai/wiki/problems/factorials_binomials/E0403/claims/2026_06_18_axiommath https://erdosproblems.ai/wiki/problems/factorials_binomials/E0403/claims https://erdosproblems.ai/wiki/problems/factorials_binomials/E0404 https://erdosproblems.ai/wiki/problems/factorials_binomials/E0404/claims/1976_01_01_lin https://erdosproblems.ai/wiki/problems/factorials_binomials/E0404/claims/2026_07_07_kitamura https://erdosproblems.ai/wiki/problems/factorials_binomials/E0404/claims/2026_07_08_kitamura https://erdosproblems.ai/wiki/problems/factorials_binomials/E0404/claims https://erdosproblems.ai/wiki/problems/factorials_binomials/E0405 https://erdosproblems.ai/wiki/problems/factorials_binomials/E0405/claims/1991_08_01_brindza_erdos https://erdosproblems.ai/wiki/problems/factorials_binomials/E0405/claims/1996_01_01_le https://erdosproblems.ai/wiki/problems/factorials_binomials/E0405/claims/1996_09_01_yu_liu https://erdosproblems.ai/wiki/problems/factorials_binomials/E0405/claims https://erdosproblems.ai/wiki/problems/factorials_binomials/E0419 https://erdosproblems.ai/wiki/problems/factorials_binomials/E0419/claims/1996_01_01_erdos_graham_ivic_pomerance https://erdosproblems.ai/wiki/problems/factorials_binomials/E0419/claims https://erdosproblems.ai/wiki/problems/factorials_binomials/E0478 https://erdosproblems.ai/wiki/problems/factorials_binomials/E0478/claims/2022_04_03_grebennikov_sagdeev_semchankau_vasilevskii https://erdosproblems.ai/wiki/problems/factorials_binomials/E0478/claims/2026_07_23_hu https://erdosproblems.ai/wiki/problems/factorials_binomials/E0478/claims https://erdosproblems.ai/wiki/problems/factorials_binomials/E0646 https://erdosproblems.ai/wiki/problems/factorials_binomials/E0646/claims/1997_05_01_berend https://erdosproblems.ai/wiki/problems/factorials_binomials/E0646/claims https://erdosproblems.ai/wiki/problems/factorials_binomials/E0683 https://erdosproblems.ai/wiki/problems/factorials_binomials/E0683/claims/1934_10_01_erdos https://erdosproblems.ai/wiki/problems/factorials_binomials/E0683/claims/1955_01_01_erdos https://erdosproblems.ai/wiki/problems/factorials_binomials/E0683/claims https://erdosproblems.ai/wiki/problems/factorials_binomials/E0684 https://erdosproblems.ai/wiki/problems/factorials_binomials/E0684/claims/2026_01_19_tang https://erdosproblems.ai/wiki/problems/factorials_binomials/E0684/claims/2026_03_31_alexeev_putterman_sawhney_sellke_valiant https://erdosproblems.ai/wiki/problems/factorials_binomials/E0684/claims/2026_09_03_bae https://erdosproblems.ai/wiki/problems/factorials_binomials/E0684/claims https://erdosproblems.ai/wiki/problems/factorials_binomials/E0685 https://erdosproblems.ai/wiki/problems/factorials_binomials/E0698 https://erdosproblems.ai/wiki/problems/factorials_binomials/E0698/claims/2008_06_03_bergman https://erdosproblems.ai/wiki/problems/factorials_binomials/E0698/claims https://erdosproblems.ai/wiki/problems/factorials_binomials/E0699 https://erdosproblems.ai/wiki/problems/factorials_binomials/E0699/claims/2026_07_18_price https://erdosproblems.ai/wiki/problems/factorials_binomials/E0699/claims/2026_07_25_van_doorn_rocca https://erdosproblems.ai/wiki/problems/factorials_binomials/E0699/claims https://erdosproblems.ai/wiki/problems/factorials_binomials/E0700 https://erdosproblems.ai/wiki/problems/factorials_binomials/E0700/claims/2026_07_27_price https://erdosproblems.ai/wiki/problems/factorials_binomials/E0700/claims https://erdosproblems.ai/wiki/problems/factorials_binomials/E0727 https://erdosproblems.ai/wiki/problems/factorials_binomials/E0727/claims/2026_09_07_land https://erdosproblems.ai/wiki/problems/factorials_binomials/E0727/claims https://erdosproblems.ai/wiki/problems/factorials_binomials/E0728 https://erdosproblems.ai/wiki/problems/factorials_binomials/E0728/claims/2026_01_06_barreto https://erdosproblems.ai/wiki/problems/factorials_binomials/E0728/claims/2026_01_14_pomerance https://erdosproblems.ai/wiki/problems/factorials_binomials/E0728/claims/2026_07_13_pickhardt https://erdosproblems.ai/wiki/problems/factorials_binomials/E0728/claims https://erdosproblems.ai/wiki/problems/factorials_binomials/E0729 https://erdosproblems.ai/wiki/problems/factorials_binomials/E0729/claims/2026_01_10_barreto_price https://erdosproblems.ai/wiki/problems/factorials_binomials/E0729/claims https://erdosproblems.ai/wiki/problems/factorials_binomials/E0730 https://erdosproblems.ai/wiki/problems/factorials_binomials/E0730/claims/2026_06_24_price https://erdosproblems.ai/wiki/problems/factorials_binomials/E0730/claims https://erdosproblems.ai/wiki/problems/factorials_binomials/E0731 https://erdosproblems.ai/wiki/problems/factorials_binomials/E0731/claims/2026_06_27_li https://erdosproblems.ai/wiki/problems/factorials_binomials/E0731/claims https://erdosproblems.ai/wiki/problems/factorials_binomials/E0849 https://erdosproblems.ai/wiki/problems/factorials_binomials/E0912 https://erdosproblems.ai/wiki/problems/factorials_binomials/E1093 https://erdosproblems.ai/wiki/problems/factorials_binomials/E1094 https://erdosproblems.ai/wiki/problems/factorials_binomials/E1095 https://erdosproblems.ai/wiki/problems/factorials_binomials/E1095/claims/2026_09_26_yang https://erdosproblems.ai/wiki/problems/factorials_binomials/E1095/claims https://erdosproblems.ai/wiki/problems/factorials_binomials/E1108 https://erdosproblems.ai/wiki/problems/factorials_binomials https://erdosproblems.ai/wiki/problems/graph_coloring/E0019 https://erdosproblems.ai/wiki/problems/graph_coloring/E0019/claims/1981_06_01_hindman https://erdosproblems.ai/wiki/problems/graph_coloring/E0019/claims/2007_01_01_romero_sanchez_arroyo https://erdosproblems.ai/wiki/problems/graph_coloring/E0019/claims/2016_05_11_araujo_pardo_vazquez_avila https://erdosproblems.ai/wiki/problems/graph_coloring/E0019/claims/2020_10_12_alesandroni https://erdosproblems.ai/wiki/problems/graph_coloring/E0019/claims/2021_01_12_kang_kelly_kuhn_methuku_osthus https://erdosproblems.ai/wiki/problems/graph_coloring/E0019/claims https://erdosproblems.ai/wiki/problems/graph_coloring/E0057 https://erdosproblems.ai/wiki/problems/graph_coloring/E0057/claims/2020_10_29_liu_montgomery https://erdosproblems.ai/wiki/problems/graph_coloring/E0057/claims https://erdosproblems.ai/wiki/problems/graph_coloring/E0058 https://erdosproblems.ai/wiki/problems/graph_coloring/E0058/claims/1992_05_01_gyarfas https://erdosproblems.ai/wiki/problems/graph_coloring/E0058/claims/2020_12_19_gao_huo_ma https://erdosproblems.ai/wiki/problems/graph_coloring/E0058/claims https://erdosproblems.ai/wiki/problems/graph_coloring/E0063 https://erdosproblems.ai/wiki/problems/graph_coloring/E0063/claims/1966_03_01_erdos_hajnal https://erdosproblems.ai/wiki/problems/graph_coloring/E0063/claims/2020_10_29_liu_montgomery https://erdosproblems.ai/wiki/problems/graph_coloring/E0063/claims https://erdosproblems.ai/wiki/problems/graph_coloring/E0074 https://erdosproblems.ai/wiki/problems/graph_coloring/E0074/claims/1982_12_01_rodl https://erdosproblems.ai/wiki/problems/graph_coloring/E0074/claims/2026_09_03_adamczewski https://erdosproblems.ai/wiki/problems/graph_coloring/E0074/claims https://erdosproblems.ai/wiki/problems/graph_coloring/E0075 https://erdosproblems.ai/wiki/problems/graph_coloring/E0075/claims/2026_04_12_chojecki https://erdosproblems.ai/wiki/problems/graph_coloring/E0075/claims https://erdosproblems.ai/wiki/problems/graph_coloring/E0108 https://erdosproblems.ai/wiki/problems/graph_coloring/E0108/claims/1977_06_01_rodl https://erdosproblems.ai/wiki/problems/graph_coloring/E0108/claims/2026_08_03_steiner https://erdosproblems.ai/wiki/problems/graph_coloring/E0108/claims/2026_09_15_kohlmeyer_kruer https://erdosproblems.ai/wiki/problems/graph_coloring/E0108/claims/2026_09_30_nguyen_walczak https://erdosproblems.ai/wiki/problems/graph_coloring/E0108/claims https://erdosproblems.ai/wiki/problems/graph_coloring/E0110 https://erdosproblems.ai/wiki/problems/graph_coloring/E0110/claims/2002_12_04_komjath_shelah https://erdosproblems.ai/wiki/problems/graph_coloring/E0110/claims/2019_02_21_lambie_hanson https://erdosproblems.ai/wiki/problems/graph_coloring/E0110/claims https://erdosproblems.ai/wiki/problems/graph_coloring/E0625 https://erdosproblems.ai/wiki/problems/graph_coloring/E0625/claims/2026_07_14_petkov https://erdosproblems.ai/wiki/problems/graph_coloring/E0625/claims/2026_09_09_serraj https://erdosproblems.ai/wiki/problems/graph_coloring/E0625/claims https://erdosproblems.ai/wiki/problems/graph_coloring/E0626 https://erdosproblems.ai/wiki/problems/graph_coloring/E0627 https://erdosproblems.ai/wiki/problems/graph_coloring/E0627/claims/2025_12_18_araujo_filipe_miyazaki https://erdosproblems.ai/wiki/problems/graph_coloring/E0627/claims https://erdosproblems.ai/wiki/problems/graph_coloring/E0628 https://erdosproblems.ai/wiki/problems/graph_coloring/E0628/claims/1969_03_01_brown_jung https://erdosproblems.ai/wiki/problems/graph_coloring/E0628/claims/2008_12_28_balogh_kostochka_prince_stiebitz https://erdosproblems.ai/wiki/problems/graph_coloring/E0628/claims/2018_05_27_song https://erdosproblems.ai/wiki/problems/graph_coloring/E0628/claims/2024_06_21_longbrake_tariq https://erdosproblems.ai/wiki/problems/graph_coloring/E0628/claims/2026_07_22_song https://erdosproblems.ai/wiki/problems/graph_coloring/E0628/claims https://erdosproblems.ai/wiki/problems/graph_coloring/E0629 https://erdosproblems.ai/wiki/problems/graph_coloring/E0629/claims/1980_01_01_erdos_rubin_taylor https://erdosproblems.ai/wiki/problems/graph_coloring/E0629/claims/1996_01_01_hanson_macgillivray_toft https://erdosproblems.ai/wiki/problems/graph_coloring/E0629/claims https://erdosproblems.ai/wiki/problems/graph_coloring/E0630 https://erdosproblems.ai/wiki/problems/graph_coloring/E0630/claims/1992_06_01_alon_tarsi https://erdosproblems.ai/wiki/problems/graph_coloring/E0630/claims https://erdosproblems.ai/wiki/problems/graph_coloring/E0631 https://erdosproblems.ai/wiki/problems/graph_coloring/E0631/claims/1993_09_01_voigt https://erdosproblems.ai/wiki/problems/graph_coloring/E0631/claims/1994_09_01_thomassen https://erdosproblems.ai/wiki/problems/graph_coloring/E0631/claims/1996_01_01_mirzakhani https://erdosproblems.ai/wiki/problems/graph_coloring/E0631/claims/1996_11_01_gutner https://erdosproblems.ai/wiki/problems/graph_coloring/E0631/claims https://erdosproblems.ai/wiki/problems/graph_coloring/E0632 https://erdosproblems.ai/wiki/problems/graph_coloring/E0632/claims/2018_06_11_dvorak_hu_sereni https://erdosproblems.ai/wiki/problems/graph_coloring/E0632/claims https://erdosproblems.ai/wiki/problems/graph_coloring/E0640 https://erdosproblems.ai/wiki/problems/graph_coloring/E0706 https://erdosproblems.ai/wiki/problems/graph_coloring/E0736 https://erdosproblems.ai/wiki/problems/graph_coloring/E0736/claims/2002_12_04_komjath_shelah https://erdosproblems.ai/wiki/problems/graph_coloring/E0736/claims https://erdosproblems.ai/wiki/problems/graph_coloring/E0737 https://erdosproblems.ai/wiki/problems/graph_coloring/E0737/claims/1983_03_01_thomassen https://erdosproblems.ai/wiki/problems/graph_coloring/E0737/claims https://erdosproblems.ai/wiki/problems/graph_coloring/E0738 https://erdosproblems.ai/wiki/problems/graph_coloring/E0739 https://erdosproblems.ai/wiki/problems/graph_coloring/E0739/claims/1988_10_01_komjath https://erdosproblems.ai/wiki/problems/graph_coloring/E0739/claims https://erdosproblems.ai/wiki/problems/graph_coloring/E0740 https://erdosproblems.ai/wiki/problems/graph_coloring/E0740/claims/1977_06_01_rodl https://erdosproblems.ai/wiki/problems/graph_coloring/E0740/claims/1988_09_01_komjath_shelah https://erdosproblems.ai/wiki/problems/graph_coloring/E0740/claims/2026_08_16_dottedcalculator https://erdosproblems.ai/wiki/problems/graph_coloring/E0740/claims/2026_09_06_land https://erdosproblems.ai/wiki/problems/graph_coloring/E0740/claims/2026_09_07_steiner https://erdosproblems.ai/wiki/problems/graph_coloring/E0740/claims https://erdosproblems.ai/wiki/problems/graph_coloring/E0744 https://erdosproblems.ai/wiki/problems/graph_coloring/E0744/claims/1985_06_01_rodl_tuza https://erdosproblems.ai/wiki/problems/graph_coloring/E0744/claims https://erdosproblems.ai/wiki/problems/graph_coloring/E0750 https://erdosproblems.ai/wiki/problems/graph_coloring/E0750/claims/1967_01_01_erdos_hajnal https://erdosproblems.ai/wiki/problems/graph_coloring/E0750/claims/1982_01_01_erdos_hajnal_szemeredi https://erdosproblems.ai/wiki/problems/graph_coloring/E0750/claims/2026_05_03_chojecki https://erdosproblems.ai/wiki/problems/graph_coloring/E0750/claims https://erdosproblems.ai/wiki/problems/graph_coloring/E0751 https://erdosproblems.ai/wiki/problems/graph_coloring/E0751/claims/1998_01_01_bondy_vince https://erdosproblems.ai/wiki/problems/graph_coloring/E0751/claims https://erdosproblems.ai/wiki/problems/graph_coloring/E0753 https://erdosproblems.ai/wiki/problems/graph_coloring/E0753/claims/1992_06_01_alon https://erdosproblems.ai/wiki/problems/graph_coloring/E0753/claims https://erdosproblems.ai/wiki/problems/graph_coloring/E0758 https://erdosproblems.ai/wiki/problems/graph_coloring/E0758/claims/2015_02_08_akdemir_ekim https://erdosproblems.ai/wiki/problems/graph_coloring/E0758/claims/2024_09_15_mehta https://erdosproblems.ai/wiki/problems/graph_coloring/E0758/claims/2026_07_26_pitchford https://erdosproblems.ai/wiki/problems/graph_coloring/E0758/claims https://erdosproblems.ai/wiki/problems/graph_coloring/E0759 https://erdosproblems.ai/wiki/problems/graph_coloring/E0759/claims/1986_01_01_gimbel https://erdosproblems.ai/wiki/problems/graph_coloring/E0759/claims/1997_11_01_gimbel_thomassen https://erdosproblems.ai/wiki/problems/graph_coloring/E0759/claims https://erdosproblems.ai/wiki/problems/graph_coloring/E0760 https://erdosproblems.ai/wiki/problems/graph_coloring/E0760/claims/1997_08_01_alon_krivelevich_sudakov https://erdosproblems.ai/wiki/problems/graph_coloring/E0760/claims https://erdosproblems.ai/wiki/problems/graph_coloring/E0761 https://erdosproblems.ai/wiki/problems/graph_coloring/E0762 https://erdosproblems.ai/wiki/problems/graph_coloring/E0762/claims/2024_08_05_steiner https://erdosproblems.ai/wiki/problems/graph_coloring/E0762/claims https://erdosproblems.ai/wiki/problems/graph_coloring/E0780 https://erdosproblems.ai/wiki/problems/graph_coloring/E0780/claims/1978_11_01_lovasz https://erdosproblems.ai/wiki/problems/graph_coloring/E0780/claims/1986_11_01_alon_frankl_lovasz https://erdosproblems.ai/wiki/problems/graph_coloring/E0780/claims https://erdosproblems.ai/wiki/problems/graph_coloring/E0797 https://erdosproblems.ai/wiki/problems/graph_coloring/E0797/claims/1991_09_01_alon_mcdiarmid_reed https://erdosproblems.ai/wiki/problems/graph_coloring/E0797/claims https://erdosproblems.ai/wiki/problems/graph_coloring/E0799 https://erdosproblems.ai/wiki/problems/graph_coloring/E0799/claims/1992_06_01_alon https://erdosproblems.ai/wiki/problems/graph_coloring/E0799/claims/1999_10_01_alon_krivelevich_sudakov https://erdosproblems.ai/wiki/problems/graph_coloring/E0799/claims https://erdosproblems.ai/wiki/problems/graph_coloring/E0832 https://erdosproblems.ai/wiki/problems/graph_coloring/E0832/claims/1985_12_01_alon https://erdosproblems.ai/wiki/problems/graph_coloring/E0832/claims https://erdosproblems.ai/wiki/problems/graph_coloring/E0833 https://erdosproblems.ai/wiki/problems/graph_coloring/E0833/claims/1975_01_01_erdos_lovasz https://erdosproblems.ai/wiki/problems/graph_coloring/E0833/claims https://erdosproblems.ai/wiki/problems/graph_coloring/E0836 https://erdosproblems.ai/wiki/problems/graph_coloring/E0836/claims/1975_01_01_erdos_lovasz https://erdosproblems.ai/wiki/problems/graph_coloring/E0836/claims https://erdosproblems.ai/wiki/problems/graph_coloring/E0842 https://erdosproblems.ai/wiki/problems/graph_coloring/E0842/claims/1992_05_01_fleischner_stiebitz https://erdosproblems.ai/wiki/problems/graph_coloring/E0842/claims/1993_01_01_sachs https://erdosproblems.ai/wiki/problems/graph_coloring/E0842/claims https://erdosproblems.ai/wiki/problems/graph_coloring/E0917 https://erdosproblems.ai/wiki/problems/graph_coloring/E0917/claims/1970_01_01_toft https://erdosproblems.ai/wiki/problems/graph_coloring/E0917/claims/2026_09_05_gu https://erdosproblems.ai/wiki/problems/graph_coloring/E0917/claims https://erdosproblems.ai/wiki/problems/graph_coloring/E0918 https://erdosproblems.ai/wiki/problems/graph_coloring/E0918/claims/1984_03_01_baumgartner https://erdosproblems.ai/wiki/problems/graph_coloring/E0918/claims/1988_02_01_foreman_laver https://erdosproblems.ai/wiki/problems/graph_coloring/E0918/claims/2014_08_05_rinot https://erdosproblems.ai/wiki/problems/graph_coloring/E0918/claims https://erdosproblems.ai/wiki/problems/graph_coloring/E0919 https://erdosproblems.ai/wiki/problems/graph_coloring/E0920 https://erdosproblems.ai/wiki/problems/graph_coloring/E0920/claims/2023_06_06_mattheus_verstraete https://erdosproblems.ai/wiki/problems/graph_coloring/E0920/claims/2026_06_16_bradac https://erdosproblems.ai/wiki/problems/graph_coloring/E0920/claims https://erdosproblems.ai/wiki/problems/graph_coloring/E0921 https://erdosproblems.ai/wiki/problems/graph_coloring/E0921/claims/1984_06_01_kierstead_szemeredi_trotter https://erdosproblems.ai/wiki/problems/graph_coloring/E0921/claims https://erdosproblems.ai/wiki/problems/graph_coloring/E0922 https://erdosproblems.ai/wiki/problems/graph_coloring/E0922/claims/1970_01_01_folkman https://erdosproblems.ai/wiki/problems/graph_coloring/E0922/claims https://erdosproblems.ai/wiki/problems/graph_coloring/E0923 https://erdosproblems.ai/wiki/problems/graph_coloring/E0923/claims/1977_06_01_rodl https://erdosproblems.ai/wiki/problems/graph_coloring/E0923/claims https://erdosproblems.ai/wiki/problems/graph_coloring/E0944 https://erdosproblems.ai/wiki/problems/graph_coloring/E0944/claims/1992_05_01_brown https://erdosproblems.ai/wiki/problems/graph_coloring/E0944/claims/2002_12_01_jensen https://erdosproblems.ai/wiki/problems/graph_coloring/E0944/claims/2002_12_01_lattanzio https://erdosproblems.ai/wiki/problems/graph_coloring/E0944/claims/2023_10_19_martinsson_steiner https://erdosproblems.ai/wiki/problems/graph_coloring/E0944/claims/2025_08_12_skottova_steiner https://erdosproblems.ai/wiki/problems/graph_coloring/E0944/claims/2026_09_09_chan https://erdosproblems.ai/wiki/problems/graph_coloring/E0944/claims/2026_09_10_kitamura https://erdosproblems.ai/wiki/problems/graph_coloring/E0944/claims/2026_09_11_kruer_kohlmeyer https://erdosproblems.ai/wiki/problems/graph_coloring/E0944/claims https://erdosproblems.ai/wiki/problems/graph_coloring/E1013 https://erdosproblems.ai/wiki/problems/graph_coloring/E1032 https://erdosproblems.ai/wiki/problems/graph_coloring/E1091 https://erdosproblems.ai/wiki/problems/graph_coloring/E1091/claims/1982_06_01_voss https://erdosproblems.ai/wiki/problems/graph_coloring/E1091/claims/2026_04_08_alexeev_putterman_sawhney_sellke_valiant https://erdosproblems.ai/wiki/problems/graph_coloring/E1091/claims https://erdosproblems.ai/wiki/problems/graph_coloring/E1092 https://erdosproblems.ai/wiki/problems/graph_coloring/E1092/claims/1982_12_01_rodl https://erdosproblems.ai/wiki/problems/graph_coloring/E1092/claims https://erdosproblems.ai/wiki/problems/graph_coloring/E1104 https://erdosproblems.ai/wiki/problems/graph_coloring/E1156 https://erdosproblems.ai/wiki/problems/graph_coloring/E1156/claims/2019_06_27_heckel https://erdosproblems.ai/wiki/problems/graph_coloring/E1156/claims/2021_03_25_heckel_riordan https://erdosproblems.ai/wiki/problems/graph_coloring/E1156/claims https://erdosproblems.ai/wiki/problems/graph_coloring https://erdosproblems.ai/wiki/problems/group_theory/E0117 https://erdosproblems.ai/wiki/problems/group_theory/E0117/claims/2026_08_18_lecomte https://erdosproblems.ai/wiki/problems/group_theory/E0117/claims https://erdosproblems.ai/wiki/problems/group_theory/E0543 https://erdosproblems.ai/wiki/problems/group_theory/E0543/claims/2026_01_21_tang https://erdosproblems.ai/wiki/problems/group_theory/E0543/claims/2026_02_05_ma_tang https://erdosproblems.ai/wiki/problems/group_theory/E0543/claims https://erdosproblems.ai/wiki/problems/group_theory/E1098 https://erdosproblems.ai/wiki/problems/group_theory/E1098/claims/1976_06_01_neumann https://erdosproblems.ai/wiki/problems/group_theory/E1098/claims https://erdosproblems.ai/wiki/problems/group_theory/E1160 https://erdosproblems.ai/wiki/problems/group_theory/E1160/claims/2003_01_01_pantelidakis https://erdosproblems.ai/wiki/problems/group_theory/E1160/claims https://erdosproblems.ai/wiki/problems/group_theory/E1161 https://erdosproblems.ai/wiki/problems/group_theory/E1161/claims/2025_10_13_beker https://erdosproblems.ai/wiki/problems/group_theory/E1161/claims https://erdosproblems.ai/wiki/problems/group_theory/E1162 https://erdosproblems.ai/wiki/problems/group_theory/E1162/claims/2026_10_01_sarid https://erdosproblems.ai/wiki/problems/group_theory/E1162/claims https://erdosproblems.ai/wiki/problems/group_theory/E1163 https://erdosproblems.ai/wiki/problems/group_theory/E1163/claims/2026_09_04_tienxion https://erdosproblems.ai/wiki/problems/group_theory/E1163/claims https://erdosproblems.ai/wiki/problems/group_theory https://erdosproblems.ai/wiki/problems/integer_sequences/E0012 https://erdosproblems.ai/wiki/problems/integer_sequences/E0012/claims/2001_04_01_schoen https://erdosproblems.ai/wiki/problems/integer_sequences/E0012/claims/2004_10_08_baier https://erdosproblems.ai/wiki/problems/integer_sequences/E0012/claims/2026_04_03_deepmind https://erdosproblems.ai/wiki/problems/integer_sequences/E0012/claims/2026_04_07_sothanaphan https://erdosproblems.ai/wiki/problems/integer_sequences/E0012/claims/2026_07_30_ndikum_ndikum https://erdosproblems.ai/wiki/problems/integer_sequences/E0012/claims https://erdosproblems.ai/wiki/problems/integer_sequences/E0013 https://erdosproblems.ai/wiki/problems/integer_sequences/E0013/claims/2023_01_17_bedert https://erdosproblems.ai/wiki/problems/integer_sequences/E0013/claims https://erdosproblems.ai/wiki/problems/integer_sequences/E0025 https://erdosproblems.ai/wiki/problems/integer_sequences/E0025/claims/2026_03_19_chojecki https://erdosproblems.ai/wiki/problems/integer_sequences/E0025/claims/2026_03_19_chojecki_conditional https://erdosproblems.ai/wiki/problems/integer_sequences/E0025/claims https://erdosproblems.ai/wiki/problems/integer_sequences/E0038 https://erdosproblems.ai/wiki/problems/integer_sequences/E0038/claims/2026_04_25_gebyjaff https://erdosproblems.ai/wiki/problems/integer_sequences/E0038/claims https://erdosproblems.ai/wiki/problems/integer_sequences/E0121 https://erdosproblems.ai/wiki/problems/integer_sequences/E0121/claims/2024_05_19_tao https://erdosproblems.ai/wiki/problems/integer_sequences/E0121/claims https://erdosproblems.ai/wiki/problems/integer_sequences/E0131 https://erdosproblems.ai/wiki/problems/integer_sequences/E0131/claims/1999_04_01_erdos_lev_rauzy_sandor_sarkozy https://erdosproblems.ai/wiki/problems/integer_sequences/E0131/claims/2024_10_18_pham_zakharov https://erdosproblems.ai/wiki/problems/integer_sequences/E0131/claims/2026_07_24_xeff https://erdosproblems.ai/wiki/problems/integer_sequences/E0131/claims https://erdosproblems.ai/wiki/problems/integer_sequences/E0145 https://erdosproblems.ai/wiki/problems/integer_sequences/E0145/claims/1951_01_01_erdos https://erdosproblems.ai/wiki/problems/integer_sequences/E0145/claims/1973_12_01_hooley https://erdosproblems.ai/wiki/problems/integer_sequences/E0145/claims/1997_01_30_huxley https://erdosproblems.ai/wiki/problems/integer_sequences/E0145/claims/1998_01_01_granville https://erdosproblems.ai/wiki/problems/integer_sequences/E0145/claims/2023_10_12_chan https://erdosproblems.ai/wiki/problems/integer_sequences/E0145/claims https://erdosproblems.ai/wiki/problems/integer_sequences/E0208 https://erdosproblems.ai/wiki/problems/integer_sequences/E0208/claims/1992_04_01_filaseta_trifonov https://erdosproblems.ai/wiki/problems/integer_sequences/E0208/claims/1998_01_01_granville https://erdosproblems.ai/wiki/problems/integer_sequences/E0208/claims/2024_01_25_pandey https://erdosproblems.ai/wiki/problems/integer_sequences/E0208/claims https://erdosproblems.ai/wiki/problems/integer_sequences/E0220 https://erdosproblems.ai/wiki/problems/integer_sequences/E0220/claims/1986_03_01_montgomery_vaughan https://erdosproblems.ai/wiki/problems/integer_sequences/E0220/claims https://erdosproblems.ai/wiki/problems/integer_sequences/E0222 https://erdosproblems.ai/wiki/problems/integer_sequences/E0235 https://erdosproblems.ai/wiki/problems/integer_sequences/E0235/claims/1963_12_05_hooley https://erdosproblems.ai/wiki/problems/integer_sequences/E0235/claims https://erdosproblems.ai/wiki/problems/integer_sequences/E0253 https://erdosproblems.ai/wiki/problems/integer_sequences/E0253/claims/1959_09_03_cassels https://erdosproblems.ai/wiki/problems/integer_sequences/E0253/claims https://erdosproblems.ai/wiki/problems/integer_sequences/E0254 https://erdosproblems.ai/wiki/problems/integer_sequences/E0254/claims/1959_09_03_cassels https://erdosproblems.ai/wiki/problems/integer_sequences/E0254/claims/2026_07_15_fan https://erdosproblems.ai/wiki/problems/integer_sequences/E0254/claims/2026_07_15_snyder https://erdosproblems.ai/wiki/problems/integer_sequences/E0254/claims https://erdosproblems.ai/wiki/problems/integer_sequences/E0329 https://erdosproblems.ai/wiki/problems/integer_sequences/E0332 https://erdosproblems.ai/wiki/problems/integer_sequences/E0332/claims/1979_10_01_stewart_tijdeman https://erdosproblems.ai/wiki/problems/integer_sequences/E0332/claims/2026_05_04_aditya https://erdosproblems.ai/wiki/problems/integer_sequences/E0332/claims https://erdosproblems.ai/wiki/problems/integer_sequences/E0341 https://erdosproblems.ai/wiki/problems/integer_sequences/E0341/claims/2026_08_09_li https://erdosproblems.ai/wiki/problems/integer_sequences/E0341/claims https://erdosproblems.ai/wiki/problems/integer_sequences/E0342 https://erdosproblems.ai/wiki/problems/integer_sequences/E0356 https://erdosproblems.ai/wiki/problems/integer_sequences/E0356/claims/2023_11_16_beker https://erdosproblems.ai/wiki/problems/integer_sequences/E0356/claims https://erdosproblems.ai/wiki/problems/integer_sequences/E0357 https://erdosproblems.ai/wiki/problems/integer_sequences/E0357/claims/1984_10_02_hegyvari https://erdosproblems.ai/wiki/problems/integer_sequences/E0357/claims/1996_05_01_coppersmith_phillips https://erdosproblems.ai/wiki/problems/integer_sequences/E0357/claims/2026_07_27_lenthall_cleary https://erdosproblems.ai/wiki/problems/integer_sequences/E0357/claims/2026_08_31_pickhardt https://erdosproblems.ai/wiki/problems/integer_sequences/E0357/claims https://erdosproblems.ai/wiki/problems/integer_sequences/E0359 https://erdosproblems.ai/wiki/problems/integer_sequences/E0360 https://erdosproblems.ai/wiki/problems/integer_sequences/E0360/claims/1995_05_15_alon_erdos https://erdosproblems.ai/wiki/problems/integer_sequences/E0360/claims/2006_11_16_vu https://erdosproblems.ai/wiki/problems/integer_sequences/E0360/claims/2021_04_30_conlon_fox_pham https://erdosproblems.ai/wiki/problems/integer_sequences/E0360/claims https://erdosproblems.ai/wiki/problems/integer_sequences/E0361 https://erdosproblems.ai/wiki/problems/integer_sequences/E0361/claims/1986_09_08_alon https://erdosproblems.ai/wiki/problems/integer_sequences/E0361/claims/2026_07_23_principia_math https://erdosproblems.ai/wiki/problems/integer_sequences/E0361/claims/2026_07_25_beyer_de_ryke https://erdosproblems.ai/wiki/problems/integer_sequences/E0361/claims/2026_08_08_principia_math https://erdosproblems.ai/wiki/problems/integer_sequences/E0361/claims https://erdosproblems.ai/wiki/problems/integer_sequences/E0375 https://erdosproblems.ai/wiki/problems/integer_sequences/E0375/claims/1969_12_01_grimm https://erdosproblems.ai/wiki/problems/integer_sequences/E0375/claims/1975_03_01_ramachandra_shorey_tijdeman https://erdosproblems.ai/wiki/problems/integer_sequences/E0375/claims/2006_06_01_laishram_shorey https://erdosproblems.ai/wiki/problems/integer_sequences/E0375/claims https://erdosproblems.ai/wiki/problems/integer_sequences/E0402 https://erdosproblems.ai/wiki/problems/integer_sequences/E0402/claims/1986_03_01_szegedy https://erdosproblems.ai/wiki/problems/integer_sequences/E0402/claims/1987_09_01_zaharescu https://erdosproblems.ai/wiki/problems/integer_sequences/E0402/claims/1996_01_01_balasubramanian_soundararajan https://erdosproblems.ai/wiki/problems/integer_sequences/E0402/claims https://erdosproblems.ai/wiki/problems/integer_sequences/E0421 https://erdosproblems.ai/wiki/problems/integer_sequences/E0421/claims/2026_01_17_chojecki https://erdosproblems.ai/wiki/problems/integer_sequences/E0421/claims/2026_06_28_sharma https://erdosproblems.ai/wiki/problems/integer_sequences/E0421/claims/2026_07_10_kielhorn https://erdosproblems.ai/wiki/problems/integer_sequences/E0421/claims/2026_07_13_chojecki https://erdosproblems.ai/wiki/problems/integer_sequences/E0421/claims/2026_07_13_pauwels https://erdosproblems.ai/wiki/problems/integer_sequences/E0421/claims/2026_07_21_sneiderman https://erdosproblems.ai/wiki/problems/integer_sequences/E0421/claims https://erdosproblems.ai/wiki/problems/integer_sequences/E0422 https://erdosproblems.ai/wiki/problems/integer_sequences/E0423 https://erdosproblems.ai/wiki/problems/integer_sequences/E0423/claims/2026_01_15_bolan https://erdosproblems.ai/wiki/problems/integer_sequences/E0423/claims/2026_01_15_tang https://erdosproblems.ai/wiki/problems/integer_sequences/E0423/claims https://erdosproblems.ai/wiki/problems/integer_sequences/E0424 https://erdosproblems.ai/wiki/problems/integer_sequences/E0424/claims/2026_07_20_korsky https://erdosproblems.ai/wiki/problems/integer_sequences/E0424/claims https://erdosproblems.ai/wiki/problems/integer_sequences/E0429 https://erdosproblems.ai/wiki/problems/integer_sequences/E0429/claims/2024_05_20_weisenberg https://erdosproblems.ai/wiki/problems/integer_sequences/E0429/claims https://erdosproblems.ai/wiki/problems/integer_sequences/E0430 https://erdosproblems.ai/wiki/problems/integer_sequences/E0432 https://erdosproblems.ai/wiki/problems/integer_sequences/E0436 https://erdosproblems.ai/wiki/problems/integer_sequences/E0436/claims/1962_01_01_lehmer_lehmer_mills_selfridge https://erdosproblems.ai/wiki/problems/integer_sequences/E0436/claims/1991_01_01_hildebrand https://erdosproblems.ai/wiki/problems/integer_sequences/E0436/claims https://erdosproblems.ai/wiki/problems/integer_sequences/E0438 https://erdosproblems.ai/wiki/problems/integer_sequences/E0438/claims/2000_12_01_khalfalah_lodha_szemeredi https://erdosproblems.ai/wiki/problems/integer_sequences/E0438/claims https://erdosproblems.ai/wiki/problems/integer_sequences/E0440 https://erdosproblems.ai/wiki/problems/integer_sequences/E0440/claims/1980_01_01_erdos_szemeredi https://erdosproblems.ai/wiki/problems/integer_sequences/E0440/claims https://erdosproblems.ai/wiki/problems/integer_sequences/E0441 https://erdosproblems.ai/wiki/problems/integer_sequences/E0441/claims/1998_01_01_chen https://erdosproblems.ai/wiki/problems/integer_sequences/E0441/claims/2007_01_01_chen_dai https://erdosproblems.ai/wiki/problems/integer_sequences/E0441/claims/2026_06_19_axiommath https://erdosproblems.ai/wiki/problems/integer_sequences/E0441/claims https://erdosproblems.ai/wiki/problems/integer_sequences/E0442 https://erdosproblems.ai/wiki/problems/integer_sequences/E0442/claims/2024_07_05_tao https://erdosproblems.ai/wiki/problems/integer_sequences/E0442/claims https://erdosproblems.ai/wiki/problems/integer_sequences/E0451 https://erdosproblems.ai/wiki/problems/integer_sequences/E0451/claims/2026_06_18_van_doorn_tang https://erdosproblems.ai/wiki/problems/integer_sequences/E0451/claims https://erdosproblems.ai/wiki/problems/integer_sequences/E0453 https://erdosproblems.ai/wiki/problems/integer_sequences/E0453/claims/1979_01_01_pomerance https://erdosproblems.ai/wiki/problems/integer_sequences/E0453/claims https://erdosproblems.ai/wiki/problems/integer_sequences/E0455 https://erdosproblems.ai/wiki/problems/integer_sequences/E0455/claims/1976_01_01_richter https://erdosproblems.ai/wiki/problems/integer_sequences/E0455/claims/2026_09_27_lin https://erdosproblems.ai/wiki/problems/integer_sequences/E0455/claims/2026_10_06_satorunet https://erdosproblems.ai/wiki/problems/integer_sequences/E0455/claims https://erdosproblems.ai/wiki/problems/integer_sequences/E0457 https://erdosproblems.ai/wiki/problems/integer_sequences/E0457/claims/2026_03_02_barreto https://erdosproblems.ai/wiki/problems/integer_sequences/E0457/claims/2026_03_03_sothanaphan https://erdosproblems.ai/wiki/problems/integer_sequences/E0457/claims https://erdosproblems.ai/wiki/problems/integer_sequences/E0460 https://erdosproblems.ai/wiki/problems/integer_sequences/E0460/claims/2026_01_13_chojecki https://erdosproblems.ai/wiki/problems/integer_sequences/E0460/claims/2026_01_14_chojecki https://erdosproblems.ai/wiki/problems/integer_sequences/E0460/claims https://erdosproblems.ai/wiki/problems/integer_sequences/E0467 https://erdosproblems.ai/wiki/problems/integer_sequences/E0471 https://erdosproblems.ai/wiki/problems/integer_sequences/E0471/claims/2024_12_09_alon https://erdosproblems.ai/wiki/problems/integer_sequences/E0471/claims/2024_12_09_mrazovic_kovac https://erdosproblems.ai/wiki/problems/integer_sequences/E0471/claims https://erdosproblems.ai/wiki/problems/integer_sequences/E0472 https://erdosproblems.ai/wiki/problems/integer_sequences/E0473 https://erdosproblems.ai/wiki/problems/integer_sequences/E0473/claims/1980_01_01_odlyzko https://erdosproblems.ai/wiki/problems/integer_sequences/E0473/claims https://erdosproblems.ai/wiki/problems/integer_sequences/E0481 https://erdosproblems.ai/wiki/problems/integer_sequences/E0481/claims/1982_01_01_klarner https://erdosproblems.ai/wiki/problems/integer_sequences/E0481/claims/2021_05_19_kolpakov_talambutsa https://erdosproblems.ai/wiki/problems/integer_sequences/E0481/claims/2025_12_01_barreto https://erdosproblems.ai/wiki/problems/integer_sequences/E0481/claims https://erdosproblems.ai/wiki/problems/integer_sequences/E0487 https://erdosproblems.ai/wiki/problems/integer_sequences/E0487/claims/1965_01_01_erdos https://erdosproblems.ai/wiki/problems/integer_sequences/E0487/claims/1971_01_01_kleitman https://erdosproblems.ai/wiki/problems/integer_sequences/E0487/claims https://erdosproblems.ai/wiki/problems/integer_sequences/E0488 https://erdosproblems.ai/wiki/problems/integer_sequences/E0488/claims/2026_03_20_chojecki https://erdosproblems.ai/wiki/problems/integer_sequences/E0488/claims/2026_04_30_malekz https://erdosproblems.ai/wiki/problems/integer_sequences/E0488/claims/2026_08_27_ewing https://erdosproblems.ai/wiki/problems/integer_sequences/E0488/claims/2026_09_05_gessel https://erdosproblems.ai/wiki/problems/integer_sequences/E0488/claims/2026_09_05_shoal_rat https://erdosproblems.ai/wiki/problems/integer_sequences/E0488/claims https://erdosproblems.ai/wiki/problems/integer_sequences/E0489 https://erdosproblems.ai/wiki/problems/integer_sequences/E0489/claims/1951_05_04_erdos https://erdosproblems.ai/wiki/problems/integer_sequences/E0489/claims/2026_04_20_chojecki https://erdosproblems.ai/wiki/problems/integer_sequences/E0489/claims/2026_07_15_snyder https://erdosproblems.ai/wiki/problems/integer_sequences/E0489/claims https://erdosproblems.ai/wiki/problems/integer_sequences/E0490 https://erdosproblems.ai/wiki/problems/integer_sequences/E0490/claims/1972_05_02_szemeredi https://erdosproblems.ai/wiki/problems/integer_sequences/E0490/claims/1974_12_01_erdos_szemeredi https://erdosproblems.ai/wiki/problems/integer_sequences/E0490/claims https://erdosproblems.ai/wiki/problems/integer_sequences/E0535 https://erdosproblems.ai/wiki/problems/integer_sequences/E0535/claims/1964_03_20_erdos https://erdosproblems.ai/wiki/problems/integer_sequences/E0535/claims/1970_11_01_abbott_hanson https://erdosproblems.ai/wiki/problems/integer_sequences/E0535/claims https://erdosproblems.ai/wiki/problems/integer_sequences/E0536 https://erdosproblems.ai/wiki/problems/integer_sequences/E0536/claims/1966_11_17_abbott_gardner https://erdosproblems.ai/wiki/problems/integer_sequences/E0536/claims/2026_05_03_saturnino https://erdosproblems.ai/wiki/problems/integer_sequences/E0536/claims/2026_06_22_kitamura https://erdosproblems.ai/wiki/problems/integer_sequences/E0536/claims/2026_07_14_wang https://erdosproblems.ai/wiki/problems/integer_sequences/E0536/claims/2026_08_17_logsdon https://erdosproblems.ai/wiki/problems/integer_sequences/E0536/claims https://erdosproblems.ai/wiki/problems/integer_sequences/E0537 https://erdosproblems.ai/wiki/problems/integer_sequences/E0537/claims/1973_01_01_ruzsa https://erdosproblems.ai/wiki/problems/integer_sequences/E0537/claims https://erdosproblems.ai/wiki/problems/integer_sequences/E0538 https://erdosproblems.ai/wiki/problems/integer_sequences/E0538/claims/2026_07_15_snyder https://erdosproblems.ai/wiki/problems/integer_sequences/E0538/claims https://erdosproblems.ai/wiki/problems/integer_sequences/E0539 https://erdosproblems.ai/wiki/problems/integer_sequences/E0539/claims/1999_04_01_granville_roesler https://erdosproblems.ai/wiki/problems/integer_sequences/E0539/claims/2026_06_10_schmitt_gehrunger_dekoninck_berczi_kreitner_price_holmes https://erdosproblems.ai/wiki/problems/integer_sequences/E0539/claims/2026_09_05_kitamura https://erdosproblems.ai/wiki/problems/integer_sequences/E0539/claims https://erdosproblems.ai/wiki/problems/integer_sequences/E0540 https://erdosproblems.ai/wiki/problems/integer_sequences/E0540/claims/1968_07_01_olson https://erdosproblems.ai/wiki/problems/integer_sequences/E0540/claims/1969_05_15_szemeredi https://erdosproblems.ai/wiki/problems/integer_sequences/E0540/claims/1996_01_18_hamidoune_zemor https://erdosproblems.ai/wiki/problems/integer_sequences/E0540/claims/2009_07_20_balandraud https://erdosproblems.ai/wiki/problems/integer_sequences/E0540/claims https://erdosproblems.ai/wiki/problems/integer_sequences/E0541 https://erdosproblems.ai/wiki/problems/integer_sequences/E0541/claims/1974_02_14_erdos_szemeredi https://erdosproblems.ai/wiki/problems/integer_sequences/E0541/claims/2009_02_27_gao_hamidoune_wang https://erdosproblems.ai/wiki/problems/integer_sequences/E0541/claims/2009_03_18_grynkiewicz https://erdosproblems.ai/wiki/problems/integer_sequences/E0541/claims/2025_12_31_alexeev https://erdosproblems.ai/wiki/problems/integer_sequences/E0541/claims https://erdosproblems.ai/wiki/problems/integer_sequences/E0542 https://erdosproblems.ai/wiki/problems/integer_sequences/E0542/claims/1959_01_17_schinzel_szekeres https://erdosproblems.ai/wiki/problems/integer_sequences/E0542/claims/1996_01_01_chen https://erdosproblems.ai/wiki/problems/integer_sequences/E0542/claims https://erdosproblems.ai/wiki/problems/integer_sequences/E0587 https://erdosproblems.ai/wiki/problems/integer_sequences/E0587/claims/2008_11_09_nguyen_vu https://erdosproblems.ai/wiki/problems/integer_sequences/E0587/claims/2026_08_27_alexeev https://erdosproblems.ai/wiki/problems/integer_sequences/E0587/claims https://erdosproblems.ai/wiki/problems/integer_sequences/E0635 https://erdosproblems.ai/wiki/problems/integer_sequences/E0635/claims/2026_01_30_leeham https://erdosproblems.ai/wiki/problems/integer_sequences/E0635/claims https://erdosproblems.ai/wiki/problems/integer_sequences/E0650 https://erdosproblems.ai/wiki/problems/integer_sequences/E0650/claims/2026_03_07_van_doorn_li_tang https://erdosproblems.ai/wiki/problems/integer_sequences/E0650/claims https://erdosproblems.ai/wiki/problems/integer_sequences/E0675 https://erdosproblems.ai/wiki/problems/integer_sequences/E0675/claims/2026_04_18_ho https://erdosproblems.ai/wiki/problems/integer_sequences/E0675/claims/2026_07_27_price https://erdosproblems.ai/wiki/problems/integer_sequences/E0675/claims https://erdosproblems.ai/wiki/problems/integer_sequences/E0677 https://erdosproblems.ai/wiki/problems/integer_sequences/E0678 https://erdosproblems.ai/wiki/problems/integer_sequences/E0678/claims/2024_10_11_cambie https://erdosproblems.ai/wiki/problems/integer_sequences/E0678/claims https://erdosproblems.ai/wiki/problems/integer_sequences/E0687 https://erdosproblems.ai/wiki/problems/integer_sequences/E0687/claims/2026_09_25_openai https://erdosproblems.ai/wiki/problems/integer_sequences/E0687/claims https://erdosproblems.ai/wiki/problems/integer_sequences/E0688 https://erdosproblems.ai/wiki/problems/integer_sequences/E0689 https://erdosproblems.ai/wiki/problems/integer_sequences/E0689/claims/2026_04_25_zribi https://erdosproblems.ai/wiki/problems/integer_sequences/E0689/claims/2026_04_30_chojecki https://erdosproblems.ai/wiki/problems/integer_sequences/E0689/claims/2026_07_21_zribi_chojecki https://erdosproblems.ai/wiki/problems/integer_sequences/E0689/claims https://erdosproblems.ai/wiki/problems/integer_sequences/E0691 https://erdosproblems.ai/wiki/problems/integer_sequences/E0691/claims/1996_08_01_tenenbaum https://erdosproblems.ai/wiki/problems/integer_sequences/E0691/claims https://erdosproblems.ai/wiki/problems/integer_sequences/E0695 https://erdosproblems.ai/wiki/problems/integer_sequences/E0708 https://erdosproblems.ai/wiki/problems/integer_sequences/E0708/claims/2026_09_05_chen https://erdosproblems.ai/wiki/problems/integer_sequences/E0708/claims https://erdosproblems.ai/wiki/problems/integer_sequences/E0709 https://erdosproblems.ai/wiki/problems/integer_sequences/E0710 https://erdosproblems.ai/wiki/problems/integer_sequences/E0710/claims/2026_09_23_turturean https://erdosproblems.ai/wiki/problems/integer_sequences/E0710/claims https://erdosproblems.ai/wiki/problems/integer_sequences/E0711 https://erdosproblems.ai/wiki/problems/integer_sequences/E0711/claims/2026_01_05_van_doorn https://erdosproblems.ai/wiki/problems/integer_sequences/E0711/claims/2026_07_11_kominers https://erdosproblems.ai/wiki/problems/integer_sequences/E0711/claims/2026_07_29_chen_korsky https://erdosproblems.ai/wiki/problems/integer_sequences/E0711/claims https://erdosproblems.ai/wiki/problems/integer_sequences/E0726 https://erdosproblems.ai/wiki/problems/integer_sequences/E0726/claims/2026_08_11_zeraoulia https://erdosproblems.ai/wiki/problems/integer_sequences/E0726/claims/2026_08_13_conjectures_io https://erdosproblems.ai/wiki/problems/integer_sequences/E0726/claims https://erdosproblems.ai/wiki/problems/integer_sequences/E0748 https://erdosproblems.ai/wiki/problems/integer_sequences/E0748/claims/1990_03_01_calkin https://erdosproblems.ai/wiki/problems/integer_sequences/E0748/claims/1991_06_01_alon https://erdosproblems.ai/wiki/problems/integer_sequences/E0748/claims/2003_01_01_sapozhenko https://erdosproblems.ai/wiki/problems/integer_sequences/E0748/claims/2003_04_04_green https://erdosproblems.ai/wiki/problems/integer_sequences/E0748/claims https://erdosproblems.ai/wiki/problems/integer_sequences/E0768 https://erdosproblems.ai/wiki/problems/integer_sequences/E0768/claims/2026_06_23_li https://erdosproblems.ai/wiki/problems/integer_sequences/E0768/claims https://erdosproblems.ai/wiki/problems/integer_sequences/E0770 https://erdosproblems.ai/wiki/problems/integer_sequences/E0770/claims/2026_07_24_zeng https://erdosproblems.ai/wiki/problems/integer_sequences/E0770/claims https://erdosproblems.ai/wiki/problems/integer_sequences/E0771 https://erdosproblems.ai/wiki/problems/integer_sequences/E0771/claims/1988_12_01_alon_freiman https://erdosproblems.ai/wiki/problems/integer_sequences/E0771/claims https://erdosproblems.ai/wiki/problems/integer_sequences/E0774 https://erdosproblems.ai/wiki/problems/integer_sequences/E0783 https://erdosproblems.ai/wiki/problems/integer_sequences/E0783/claims/1980_08_01_erdos_ruzsa https://erdosproblems.ai/wiki/problems/integer_sequences/E0783/claims/1987_01_01_hildebrand https://erdosproblems.ai/wiki/problems/integer_sequences/E0783/claims/2026_01_23_chojecki https://erdosproblems.ai/wiki/problems/integer_sequences/E0783/claims/2026_02_20_tao https://erdosproblems.ai/wiki/problems/integer_sequences/E0783/claims/2026_02_23_chojecki https://erdosproblems.ai/wiki/problems/integer_sequences/E0783/claims https://erdosproblems.ai/wiki/problems/integer_sequences/E0784 https://erdosproblems.ai/wiki/problems/integer_sequences/E0784/claims/1982_04_01_ruzsa https://erdosproblems.ai/wiki/problems/integer_sequences/E0784/claims/2023_10_19_weingartner https://erdosproblems.ai/wiki/problems/integer_sequences/E0784/claims https://erdosproblems.ai/wiki/problems/integer_sequences/E0786 https://erdosproblems.ai/wiki/problems/integer_sequences/E0786/claims/2026_09_06_gessel https://erdosproblems.ai/wiki/problems/integer_sequences/E0786/claims/2026_09_28_li https://erdosproblems.ai/wiki/problems/integer_sequences/E0786/claims https://erdosproblems.ai/wiki/problems/integer_sequences/E0793 https://erdosproblems.ai/wiki/problems/integer_sequences/E0793/claims/2026_07_13_chojecki https://erdosproblems.ai/wiki/problems/integer_sequences/E0793/claims/2026_08_05_van_doorn https://erdosproblems.ai/wiki/problems/integer_sequences/E0793/claims https://erdosproblems.ai/wiki/problems/integer_sequences/E0795 https://erdosproblems.ai/wiki/problems/integer_sequences/E0795/claims/2025_01_06_raghavan https://erdosproblems.ai/wiki/problems/integer_sequences/E0795/claims https://erdosproblems.ai/wiki/problems/integer_sequences/E0796 https://erdosproblems.ai/wiki/problems/integer_sequences/E0796/claims/2026_07_15_gajjala https://erdosproblems.ai/wiki/problems/integer_sequences/E0796/claims/2026_07_15_snyder https://erdosproblems.ai/wiki/problems/integer_sequences/E0796/claims https://erdosproblems.ai/wiki/problems/integer_sequences/E0820 https://erdosproblems.ai/wiki/problems/integer_sequences/E0820/claims/2026_07_16_price https://erdosproblems.ai/wiki/problems/integer_sequences/E0820/claims https://erdosproblems.ai/wiki/problems/integer_sequences/E0839 https://erdosproblems.ai/wiki/problems/integer_sequences/E0848 https://erdosproblems.ai/wiki/problems/integer_sequences/E0848/claims/2025_10_19_sawhney https://erdosproblems.ai/wiki/problems/integer_sequences/E0848/claims/2026_03_23_sothanaphan https://erdosproblems.ai/wiki/problems/integer_sequences/E0848/claims/2026_07_28_pitchford https://erdosproblems.ai/wiki/problems/integer_sequences/E0848/claims/2026_07_30_li https://erdosproblems.ai/wiki/problems/integer_sequences/E0848/claims https://erdosproblems.ai/wiki/problems/integer_sequences/E0851 https://erdosproblems.ai/wiki/problems/integer_sequences/E0851/claims/2026_02_05_price https://erdosproblems.ai/wiki/problems/integer_sequences/E0851/claims https://erdosproblems.ai/wiki/problems/integer_sequences/E0854 https://erdosproblems.ai/wiki/problems/integer_sequences/E0854/claims/2020_07_03_ziller https://erdosproblems.ai/wiki/problems/integer_sequences/E0854/claims/2026_07_27_white https://erdosproblems.ai/wiki/problems/integer_sequences/E0854/claims/2026_08_20_dottedcalculator https://erdosproblems.ai/wiki/problems/integer_sequences/E0854/claims https://erdosproblems.ai/wiki/problems/integer_sequences/E0856 https://erdosproblems.ai/wiki/problems/integer_sequences/E0856/claims/1970_01_01_erdos https://erdosproblems.ai/wiki/problems/integer_sequences/E0856/claims/2025_12_23_tang_zhang https://erdosproblems.ai/wiki/problems/integer_sequences/E0856/claims/2026_04_15_chojecki https://erdosproblems.ai/wiki/problems/integer_sequences/E0856/claims/2026_07_18_rayyoung_zhu_luo https://erdosproblems.ai/wiki/problems/integer_sequences/E0856/claims https://erdosproblems.ai/wiki/problems/integer_sequences/E0873 https://erdosproblems.ai/wiki/problems/integer_sequences/E0873/claims/1992_01_01_erdos_szemeredi https://erdosproblems.ai/wiki/problems/integer_sequences/E0873/claims/2026_04_29_nayak https://erdosproblems.ai/wiki/problems/integer_sequences/E0873/claims/2026_04_30_old_bielefelder https://erdosproblems.ai/wiki/problems/integer_sequences/E0873/claims https://erdosproblems.ai/wiki/problems/integer_sequences/E0879 https://erdosproblems.ai/wiki/problems/integer_sequences/E0879/claims/1984_01_01_erdos_van_lint https://erdosproblems.ai/wiki/problems/integer_sequences/E0879/claims/2026_09_06_kitamura https://erdosproblems.ai/wiki/problems/integer_sequences/E0879/claims https://erdosproblems.ai/wiki/problems/integer_sequences/E0888 https://erdosproblems.ai/wiki/problems/integer_sequences/E0888/claims/2026_04_25_chojecki https://erdosproblems.ai/wiki/problems/integer_sequences/E0888/claims/2026_09_16_rogerhu https://erdosproblems.ai/wiki/problems/integer_sequences/E0888/claims https://erdosproblems.ai/wiki/problems/integer_sequences/E0896 https://erdosproblems.ai/wiki/problems/integer_sequences/E0896/claims/2004_01_18_ford https://erdosproblems.ai/wiki/problems/integer_sequences/E0896/claims/2026_04_26_chojecki https://erdosproblems.ai/wiki/problems/integer_sequences/E0896/claims https://erdosproblems.ai/wiki/problems/integer_sequences/E0929 https://erdosproblems.ai/wiki/problems/integer_sequences/E0929/claims/2014_12_16_ford_green_konyagin_maynard_tao https://erdosproblems.ai/wiki/problems/integer_sequences/E0929/claims https://erdosproblems.ai/wiki/problems/integer_sequences/E0932 https://erdosproblems.ai/wiki/problems/integer_sequences/E0954 https://erdosproblems.ai/wiki/problems/integer_sequences/E0961 https://erdosproblems.ai/wiki/problems/integer_sequences/E0961/claims/1934_10_01_erdos https://erdosproblems.ai/wiki/problems/integer_sequences/E0961/claims/1955_01_01_erdos https://erdosproblems.ai/wiki/problems/integer_sequences/E0961/claims/1973_01_01_jutila_ramachandra_shorey https://erdosproblems.ai/wiki/problems/integer_sequences/E0961/claims https://erdosproblems.ai/wiki/problems/integer_sequences/E0962 https://erdosproblems.ai/wiki/problems/integer_sequences/E0962/claims/1976_01_01_erdos https://erdosproblems.ai/wiki/problems/integer_sequences/E0962/claims/1976_01_01_erdos_upper https://erdosproblems.ai/wiki/problems/integer_sequences/E0962/claims/2025_12_28_tang https://erdosproblems.ai/wiki/problems/integer_sequences/E0962/claims https://erdosproblems.ai/wiki/problems/integer_sequences/E0968 https://erdosproblems.ai/wiki/problems/integer_sequences/E0968/claims/2026_09_25_openai https://erdosproblems.ai/wiki/problems/integer_sequences/E0968/claims https://erdosproblems.ai/wiki/problems/integer_sequences/E0970 https://erdosproblems.ai/wiki/problems/integer_sequences/E0970/claims/1978_01_01_iwaniec https://erdosproblems.ai/wiki/problems/integer_sequences/E0970/claims/2014_12_16_ford_green_konyagin_maynard_tao https://erdosproblems.ai/wiki/problems/integer_sequences/E0970/claims/2026_09_25_openai https://erdosproblems.ai/wiki/problems/integer_sequences/E0970/claims https://erdosproblems.ai/wiki/problems/integer_sequences/E0971 https://erdosproblems.ai/wiki/problems/integer_sequences/E0971/claims/1949_01_01_erdos https://erdosproblems.ai/wiki/problems/integer_sequences/E0971/claims/2026_07_25_han https://erdosproblems.ai/wiki/problems/integer_sequences/E0971/claims/2026_09_28_li https://erdosproblems.ai/wiki/problems/integer_sequences/E0971/claims https://erdosproblems.ai/wiki/problems/integer_sequences/E0980 https://erdosproblems.ai/wiki/problems/integer_sequences/E0980/claims/1961_01_01_erdos https://erdosproblems.ai/wiki/problems/integer_sequences/E0980/claims/1967_01_09_elliott https://erdosproblems.ai/wiki/problems/integer_sequences/E0980/claims https://erdosproblems.ai/wiki/problems/integer_sequences/E0983 https://erdosproblems.ai/wiki/problems/integer_sequences/E0983/claims/2026_04_30_price https://erdosproblems.ai/wiki/problems/integer_sequences/E0983/claims https://erdosproblems.ai/wiki/problems/integer_sequences/E0985 https://erdosproblems.ai/wiki/problems/integer_sequences/E1057 https://erdosproblems.ai/wiki/problems/integer_sequences/E1062 https://erdosproblems.ai/wiki/problems/integer_sequences/E1062/claims/1977_06_01_lebensold https://erdosproblems.ai/wiki/problems/integer_sequences/E1062/claims/2026_04_19_davis https://erdosproblems.ai/wiki/problems/integer_sequences/E1062/claims/2026_04_20_chojecki https://erdosproblems.ai/wiki/problems/integer_sequences/E1062/claims/2026_09_21_jenw1n https://erdosproblems.ai/wiki/problems/integer_sequences/E1062/claims/2026_09_23_turturean https://erdosproblems.ai/wiki/problems/integer_sequences/E1062/claims https://erdosproblems.ai/wiki/problems/integer_sequences/E1063 https://erdosproblems.ai/wiki/problems/integer_sequences/E1063/claims/1985_06_01_monier https://erdosproblems.ai/wiki/problems/integer_sequences/E1063/claims/2026_07_25_white https://erdosproblems.ai/wiki/problems/integer_sequences/E1063/claims/2026_07_27_cipollini https://erdosproblems.ai/wiki/problems/integer_sequences/E1063/claims/2026_08_04_cipollini https://erdosproblems.ai/wiki/problems/integer_sequences/E1063/claims/2026_10_01_leap https://erdosproblems.ai/wiki/problems/integer_sequences/E1063/claims https://erdosproblems.ai/wiki/problems/integer_sequences/E1073 https://erdosproblems.ai/wiki/problems/integer_sequences/E1074 https://erdosproblems.ai/wiki/problems/integer_sequences/E1101 https://erdosproblems.ai/wiki/problems/integer_sequences/E1101/claims/2026_04_27_li https://erdosproblems.ai/wiki/problems/integer_sequences/E1101/claims https://erdosproblems.ai/wiki/problems/integer_sequences/E1102 https://erdosproblems.ai/wiki/problems/integer_sequences/E1102/claims/2025_11_30_van_doorn_tao https://erdosproblems.ai/wiki/problems/integer_sequences/E1102/claims https://erdosproblems.ai/wiki/problems/integer_sequences/E1103 https://erdosproblems.ai/wiki/problems/integer_sequences/E1103/claims/2004_06_30_konyagin https://erdosproblems.ai/wiki/problems/integer_sequences/E1103/claims/2025_11_30_van_doorn_tao https://erdosproblems.ai/wiki/problems/integer_sequences/E1103/claims/2026_07_23_hu https://erdosproblems.ai/wiki/problems/integer_sequences/E1103/claims https://erdosproblems.ai/wiki/problems/integer_sequences/E1109 https://erdosproblems.ai/wiki/problems/integer_sequences/E1109/claims/1987_03_01_erdos_sarkozy https://erdosproblems.ai/wiki/problems/integer_sequences/E1109/claims/2002_08_01_gyarmati https://erdosproblems.ai/wiki/problems/integer_sequences/E1109/claims/2004_06_30_konyagin https://erdosproblems.ai/wiki/problems/integer_sequences/E1109/claims https://erdosproblems.ai/wiki/problems/integer_sequences/E1134 https://erdosproblems.ai/wiki/problems/integer_sequences/E1134/claims/2016_09_28_lagarias https://erdosproblems.ai/wiki/problems/integer_sequences/E1134/claims/2026_06_19_axiommath https://erdosproblems.ai/wiki/problems/integer_sequences/E1134/claims https://erdosproblems.ai/wiki/problems/integer_sequences/E1136 https://erdosproblems.ai/wiki/problems/integer_sequences/E1136/claims/2011_01_01_muller https://erdosproblems.ai/wiki/problems/integer_sequences/E1136/claims/2026_04_19_luccioli https://erdosproblems.ai/wiki/problems/integer_sequences/E1136/claims https://erdosproblems.ai/wiki/problems/integer_sequences/E1146 https://erdosproblems.ai/wiki/problems/integer_sequences/E1149 https://erdosproblems.ai/wiki/problems/integer_sequences/E1149/claims/1955_01_01_lambek_moser https://erdosproblems.ai/wiki/problems/integer_sequences/E1149/claims/2002_09_01_delmer_deshouillers https://erdosproblems.ai/wiki/problems/integer_sequences/E1149/claims/2016_11_24_bergelson_richter https://erdosproblems.ai/wiki/problems/integer_sequences/E1149/claims https://erdosproblems.ai/wiki/problems/integer_sequences/E1181 https://erdosproblems.ai/wiki/problems/integer_sequences/E1204 https://erdosproblems.ai/wiki/problems/integer_sequences/E1204/claims/2020_10_02_granville https://erdosproblems.ai/wiki/problems/integer_sequences/E1204/claims https://erdosproblems.ai/wiki/problems/integer_sequences/E1205 https://erdosproblems.ai/wiki/problems/integer_sequences/E1205/claims/2026_04_08_bloom https://erdosproblems.ai/wiki/problems/integer_sequences/E1205/claims https://erdosproblems.ai/wiki/problems/integer_sequences/E1209 https://erdosproblems.ai/wiki/problems/integer_sequences/E1209/claims/2015_06_27_gurev_korsky https://erdosproblems.ai/wiki/problems/integer_sequences/E1209/claims/2026_04_08_bloom https://erdosproblems.ai/wiki/problems/integer_sequences/E1209/claims/2026_04_15_barschkis https://erdosproblems.ai/wiki/problems/integer_sequences/E1209/claims https://erdosproblems.ai/wiki/problems/integer_sequences/E1210 https://erdosproblems.ai/wiki/problems/integer_sequences https://erdosproblems.ai/wiki/problems/irrationality/E0068 https://erdosproblems.ai/wiki/problems/irrationality/E0069 https://erdosproblems.ai/wiki/problems/irrationality/E0069/claims/2024_09_23_pratt https://erdosproblems.ai/wiki/problems/irrationality/E0069/claims/2025_12_01_tao_teravainen https://erdosproblems.ai/wiki/problems/irrationality/E0069/claims https://erdosproblems.ai/wiki/problems/irrationality/E0243 https://erdosproblems.ai/wiki/problems/irrationality/E0243/claims/1964_01_01_erdos_straus https://erdosproblems.ai/wiki/problems/irrationality/E0243/claims/2001_01_01_duverney https://erdosproblems.ai/wiki/problems/irrationality/E0243/claims/2025_04_08_koizumi https://erdosproblems.ai/wiki/problems/irrationality/E0243/claims/2026_09_11_cook https://erdosproblems.ai/wiki/problems/irrationality/E0243/claims https://erdosproblems.ai/wiki/problems/irrationality/E0247 https://erdosproblems.ai/wiki/problems/irrationality/E0247/claims/1956_12_29_erdos https://erdosproblems.ai/wiki/problems/irrationality/E0247/claims https://erdosproblems.ai/wiki/problems/irrationality/E0249 https://erdosproblems.ai/wiki/problems/irrationality/E0250 https://erdosproblems.ai/wiki/problems/irrationality/E0250/claims/1995_09_18_duverney https://erdosproblems.ai/wiki/problems/irrationality/E0250/claims/1996_03_07_nesterenko https://erdosproblems.ai/wiki/problems/irrationality/E0250/claims/2001_11_08_zudilin https://erdosproblems.ai/wiki/problems/irrationality/E0250/claims/2006_04_13_postelmans_van_assche https://erdosproblems.ai/wiki/problems/irrationality/E0250/claims/2008_09_15_smet_van_assche https://erdosproblems.ai/wiki/problems/irrationality/E0250/claims/2025_10_21_romanlelan https://erdosproblems.ai/wiki/problems/irrationality/E0250/claims https://erdosproblems.ai/wiki/problems/irrationality/E0251 https://erdosproblems.ai/wiki/problems/irrationality/E0251/claims/2026_09_06_land https://erdosproblems.ai/wiki/problems/irrationality/E0251/claims/2026_09_07_ringer https://erdosproblems.ai/wiki/problems/irrationality/E0251/claims https://erdosproblems.ai/wiki/problems/irrationality/E0252 https://erdosproblems.ai/wiki/problems/irrationality/E0252/claims/1952_06_01_erdos https://erdosproblems.ai/wiki/problems/irrationality/E0252/claims/1953_01_01_erdos_kac https://erdosproblems.ai/wiki/problems/irrationality/E0252/claims/1971_03_01_erdos_straus https://erdosproblems.ai/wiki/problems/irrationality/E0252/claims/2006_12_01_schlage_puchta https://erdosproblems.ai/wiki/problems/irrationality/E0252/claims/2006_12_01_schlage_puchta_conditional https://erdosproblems.ai/wiki/problems/irrationality/E0252/claims/2007_07_03_friedlander_luca_stoiciu https://erdosproblems.ai/wiki/problems/irrationality/E0252/claims/2007_07_03_friedlander_luca_stoiciu_conditional https://erdosproblems.ai/wiki/problems/irrationality/E0252/claims/2022_09_22_pratt https://erdosproblems.ai/wiki/problems/irrationality/E0252/claims/2026_09_08_tokengrinder https://erdosproblems.ai/wiki/problems/irrationality/E0252/claims https://erdosproblems.ai/wiki/problems/irrationality/E0257 https://erdosproblems.ai/wiki/problems/irrationality/E0257/claims/1948_07_08_erdos https://erdosproblems.ai/wiki/problems/irrationality/E0257/claims/1965_12_13_erdos https://erdosproblems.ai/wiki/problems/irrationality/E0257/claims/2019_08_14_duverney_tachiya https://erdosproblems.ai/wiki/problems/irrationality/E0257/claims/2025_12_01_tao_teravainen https://erdosproblems.ai/wiki/problems/irrationality/E0257/claims/2026_09_11_cook https://erdosproblems.ai/wiki/problems/irrationality/E0257/claims https://erdosproblems.ai/wiki/problems/irrationality/E0258 https://erdosproblems.ai/wiki/problems/irrationality/E0258/claims/1971_03_01_erdos_straus https://erdosproblems.ai/wiki/problems/irrationality/E0258/claims/2026_04_14_chojecki https://erdosproblems.ai/wiki/problems/irrationality/E0258/claims https://erdosproblems.ai/wiki/problems/irrationality/E0259 https://erdosproblems.ai/wiki/problems/irrationality/E0259/claims/1999_02_01_chen_ruzsa https://erdosproblems.ai/wiki/problems/irrationality/E0259/claims/2026_09_28_ringer https://erdosproblems.ai/wiki/problems/irrationality/E0259/claims https://erdosproblems.ai/wiki/problems/irrationality/E0260 https://erdosproblems.ai/wiki/problems/irrationality/E0260/claims/1981_05_11_erdos https://erdosproblems.ai/wiki/problems/irrationality/E0260/claims/2026_06_23_wang_grau_ribas https://erdosproblems.ai/wiki/problems/irrationality/E0260/claims https://erdosproblems.ai/wiki/problems/irrationality/E0262 https://erdosproblems.ai/wiki/problems/irrationality/E0262/claims/1975_01_01_erdos https://erdosproblems.ai/wiki/problems/irrationality/E0262/claims/1991_01_01_hancl https://erdosproblems.ai/wiki/problems/irrationality/E0262/claims https://erdosproblems.ai/wiki/problems/irrationality/E0263 https://erdosproblems.ai/wiki/problems/irrationality/E0263/claims/2026_05_09_price https://erdosproblems.ai/wiki/problems/irrationality/E0263/claims https://erdosproblems.ai/wiki/problems/irrationality/E0264 https://erdosproblems.ai/wiki/problems/irrationality/E0264/claims/2024_11_27_kovac_tao https://erdosproblems.ai/wiki/problems/irrationality/E0264/claims/2025_12_18_alexeev https://erdosproblems.ai/wiki/problems/irrationality/E0264/claims https://erdosproblems.ai/wiki/problems/irrationality/E0265 https://erdosproblems.ai/wiki/problems/irrationality/E0265/claims/2024_11_27_kovac_tao https://erdosproblems.ai/wiki/problems/irrationality/E0265/claims/2026_08_28_cam https://erdosproblems.ai/wiki/problems/irrationality/E0265/claims/2026_09_07_kitamura https://erdosproblems.ai/wiki/problems/irrationality/E0265/claims https://erdosproblems.ai/wiki/problems/irrationality/E0266 https://erdosproblems.ai/wiki/problems/irrationality/E0266/claims/2024_11_27_kovac_tao https://erdosproblems.ai/wiki/problems/irrationality/E0266/claims https://erdosproblems.ai/wiki/problems/irrationality/E0267 https://erdosproblems.ai/wiki/problems/irrationality/E0267/claims/1974_12_01_good https://erdosproblems.ai/wiki/problems/irrationality/E0267/claims/1976_12_01_hoggatt_bicknell https://erdosproblems.ai/wiki/problems/irrationality/E0267/claims/1987_07_01_badea https://erdosproblems.ai/wiki/problems/irrationality/E0267/claims/1993_01_01_badea https://erdosproblems.ai/wiki/problems/irrationality/E0267/claims/2026_04_24_deepmind https://erdosproblems.ai/wiki/problems/irrationality/E0267/claims/2026_07_15_snyder https://erdosproblems.ai/wiki/problems/irrationality/E0267/claims https://erdosproblems.ai/wiki/problems/irrationality/E0269 https://erdosproblems.ai/wiki/problems/irrationality/E0270 https://erdosproblems.ai/wiki/problems/irrationality/E0270/claims/2025_04_25_crmaric_kovac https://erdosproblems.ai/wiki/problems/irrationality/E0270/claims/2026_08_22_lambrinoudis https://erdosproblems.ai/wiki/problems/irrationality/E0270/claims https://erdosproblems.ai/wiki/problems/irrationality/E0495 https://erdosproblems.ai/wiki/problems/irrationality/E0496 https://erdosproblems.ai/wiki/problems/irrationality/E0496/claims/1989_01_01_margulis https://erdosproblems.ai/wiki/problems/irrationality/E0496/claims/2026_08_21_alexeev https://erdosproblems.ai/wiki/problems/irrationality/E0496/claims https://erdosproblems.ai/wiki/problems/irrationality/E0998 https://erdosproblems.ai/wiki/problems/irrationality/E0998/claims/1966_01_01_kesten https://erdosproblems.ai/wiki/problems/irrationality/E0998/claims/2026_08_17_alexeev https://erdosproblems.ai/wiki/problems/irrationality/E0998/claims https://erdosproblems.ai/wiki/problems/irrationality/E0999 https://erdosproblems.ai/wiki/problems/irrationality/E0999/claims/2019_07_10_koukoulopoulos_maynard https://erdosproblems.ai/wiki/problems/irrationality/E0999/claims https://erdosproblems.ai/wiki/problems/irrationality/E1000 https://erdosproblems.ai/wiki/problems/irrationality/E1000/claims/1971_02_01_haight https://erdosproblems.ai/wiki/problems/irrationality/E1000/claims https://erdosproblems.ai/wiki/problems/irrationality/E1001 https://erdosproblems.ai/wiki/problems/irrationality/E1001/claims/1958_01_01_erdos_szusz_turan https://erdosproblems.ai/wiki/problems/irrationality/E1001/claims/1962_05_01_kesten https://erdosproblems.ai/wiki/problems/irrationality/E1001/claims/1966_01_01_kesten_sos https://erdosproblems.ai/wiki/problems/irrationality/E1001/claims/2006_01_01_xiong_zaharescu https://erdosproblems.ai/wiki/problems/irrationality/E1001/claims/2008_08_01_boca https://erdosproblems.ai/wiki/problems/irrationality/E1001/claims https://erdosproblems.ai/wiki/problems/irrationality/E1002 https://erdosproblems.ai/wiki/problems/irrationality/E1002/claims/2026_07_13_kwon https://erdosproblems.ai/wiki/problems/irrationality/E1002/claims/2026_07_21_wang https://erdosproblems.ai/wiki/problems/irrationality/E1002/claims https://erdosproblems.ai/wiki/problems/irrationality/E1049 https://erdosproblems.ai/wiki/problems/irrationality/E1049/claims/1948_01_01_erdos https://erdosproblems.ai/wiki/problems/irrationality/E1049/claims/1994_01_01_bundschuh_vaananen https://erdosproblems.ai/wiki/problems/irrationality/E1049/claims/2026_09_11_cook https://erdosproblems.ai/wiki/problems/irrationality/E1049/claims https://erdosproblems.ai/wiki/problems/irrationality/E1050 https://erdosproblems.ai/wiki/problems/irrationality/E1050/claims/1991_03_01_borwein https://erdosproblems.ai/wiki/problems/irrationality/E1050/claims https://erdosproblems.ai/wiki/problems/irrationality/E1051 https://erdosproblems.ai/wiki/problems/irrationality/E1051/claims/2026_01_29_barreto_kang_kim_kovac_zhang https://erdosproblems.ai/wiki/problems/irrationality/E1051/claims/2026_01_29_feng_et_al https://erdosproblems.ai/wiki/problems/irrationality/E1051/claims https://erdosproblems.ai/wiki/problems/irrationality https://erdosproblems.ai/wiki/problems/number_theory/E0034 https://erdosproblems.ai/wiki/problems/number_theory/E0034/claims/1986_03_01_hegyvari https://erdosproblems.ai/wiki/problems/number_theory/E0034/claims/2015_04_27_konieczny https://erdosproblems.ai/wiki/problems/number_theory/E0034/claims https://erdosproblems.ai/wiki/problems/number_theory/E0268 https://erdosproblems.ai/wiki/problems/number_theory/E0268/claims/2024_05_13_kovac https://erdosproblems.ai/wiki/problems/number_theory/E0268/claims/2024_11_27_kovac_tao https://erdosproblems.ai/wiki/problems/number_theory/E0268/claims https://erdosproblems.ai/wiki/problems/number_theory/E0362 https://erdosproblems.ai/wiki/problems/number_theory/E0362/claims/1965_01_01_sarkozy_szemeredi https://erdosproblems.ai/wiki/problems/number_theory/E0362/claims/1977_09_01_halasz https://erdosproblems.ai/wiki/problems/number_theory/E0362/claims https://erdosproblems.ai/wiki/problems/number_theory/E0464 https://erdosproblems.ai/wiki/problems/number_theory/E0464/claims/1979_12_01_pollington https://erdosproblems.ai/wiki/problems/number_theory/E0464/claims/1980_09_01_de_mathan https://erdosproblems.ai/wiki/problems/number_theory/E0464/claims/2001_04_01_katznelson https://erdosproblems.ai/wiki/problems/number_theory/E0464/claims https://erdosproblems.ai/wiki/problems/number_theory/E0465 https://erdosproblems.ai/wiki/problems/number_theory/E0465/claims/1976_01_01_sarkozy https://erdosproblems.ai/wiki/problems/number_theory/E0465/claims/2001_04_01_konyagin https://erdosproblems.ai/wiki/problems/number_theory/E0465/claims https://erdosproblems.ai/wiki/problems/number_theory/E0466 https://erdosproblems.ai/wiki/problems/number_theory/E0466/claims/1976_01_01_sarkozy https://erdosproblems.ai/wiki/problems/number_theory/E0466/claims https://erdosproblems.ai/wiki/problems/number_theory/E0480 https://erdosproblems.ai/wiki/problems/number_theory/E0480/claims/1981_07_01_chung_graham https://erdosproblems.ai/wiki/problems/number_theory/E0480/claims https://erdosproblems.ai/wiki/problems/number_theory/E0482 https://erdosproblems.ai/wiki/problems/number_theory/E0482/claims/1991_06_01_rabinowitz_gilbert https://erdosproblems.ai/wiki/problems/number_theory/E0482/claims/2005_05_24_stoll https://erdosproblems.ai/wiki/problems/number_theory/E0482/claims https://erdosproblems.ai/wiki/problems/number_theory/E0492 https://erdosproblems.ai/wiki/problems/number_theory/E0492/claims/1963_01_01_davenport_erdos https://erdosproblems.ai/wiki/problems/number_theory/E0492/claims/1969_01_01_schmidt https://erdosproblems.ai/wiki/problems/number_theory/E0492/claims/2026_08_20_alexeev https://erdosproblems.ai/wiki/problems/number_theory/E0492/claims https://erdosproblems.ai/wiki/problems/number_theory/E0951 https://erdosproblems.ai/wiki/problems/number_theory/E0951/claims/2026_01_27_leeham https://erdosproblems.ai/wiki/problems/number_theory/E0951/claims/2026_01_28_sothanaphan https://erdosproblems.ai/wiki/problems/number_theory/E0951/claims https://erdosproblems.ai/wiki/problems/number_theory/E0952 https://erdosproblems.ai/wiki/problems/number_theory/E0952/claims/1997_01_01_gethner_stark https://erdosproblems.ai/wiki/problems/number_theory/E0952/claims/2019_08_27_das https://erdosproblems.ai/wiki/problems/number_theory/E0952/claims/2024_01_16_stumpenhusen https://erdosproblems.ai/wiki/problems/number_theory/E0952/claims/2026_09_26_openai https://erdosproblems.ai/wiki/problems/number_theory/E0952/claims https://erdosproblems.ai/wiki/problems/number_theory/E0963 https://erdosproblems.ai/wiki/problems/number_theory/E0972 https://erdosproblems.ai/wiki/problems/number_theory/E0981 https://erdosproblems.ai/wiki/problems/number_theory/E0981/claims/1969_01_25_elliott https://erdosproblems.ai/wiki/problems/number_theory/E0981/claims https://erdosproblems.ai/wiki/problems/number_theory/E1005 https://erdosproblems.ai/wiki/problems/number_theory/E1005/claims/2025_08_28_van_doorn https://erdosproblems.ai/wiki/problems/number_theory/E1005/claims/2026_07_04_cipollini https://erdosproblems.ai/wiki/problems/number_theory/E1005/claims/2026_07_28_wang_xie_zhao https://erdosproblems.ai/wiki/problems/number_theory/E1005/claims https://erdosproblems.ai/wiki/problems/number_theory/E1096 https://erdosproblems.ai/wiki/problems/number_theory/E1096/claims/1998_04_01_erdos_komornik https://erdosproblems.ai/wiki/problems/number_theory/E1096/claims/2011_03_23_akiyama_komornik https://erdosproblems.ai/wiki/problems/number_theory/E1096/claims/2011_11_10_feng https://erdosproblems.ai/wiki/problems/number_theory/E1096/claims/2026_04_16_acosta_de_leon https://erdosproblems.ai/wiki/problems/number_theory/E1096/claims https://erdosproblems.ai/wiki/problems/number_theory/E1135 https://erdosproblems.ai/wiki/problems/number_theory/E1180 https://erdosproblems.ai/wiki/problems/number_theory/E1180/claims/2002_06_01_shparlinski https://erdosproblems.ai/wiki/problems/number_theory/E1180/claims/2004_03_22_croot https://erdosproblems.ai/wiki/problems/number_theory/E1180/claims/2006_03_01_glibichuk https://erdosproblems.ai/wiki/problems/number_theory/E1180/claims https://erdosproblems.ai/wiki/problems/number_theory https://erdosproblems.ai/wiki/problems/polynomials/E0114 https://erdosproblems.ai/wiki/problems/polynomials/E0114/claims/1998_01_01_wang https://erdosproblems.ai/wiki/problems/polynomials/E0114/claims/1999_09_01_eremenko_hayman https://erdosproblems.ai/wiki/problems/polynomials/E0114/claims/2025_12_13_tao https://erdosproblems.ai/wiki/problems/polynomials/E0114/claims/2026_03_23_mendoza https://erdosproblems.ai/wiki/problems/polynomials/E0114/claims/2026_05_20_dahlke https://erdosproblems.ai/wiki/problems/polynomials/E0114/claims/2026_08_22_chatelet https://erdosproblems.ai/wiki/problems/polynomials/E0114/claims https://erdosproblems.ai/wiki/problems/polynomials/E0115 https://erdosproblems.ai/wiki/problems/polynomials/E0115/claims/1994_09_01_eremenko_lempert https://erdosproblems.ai/wiki/problems/polynomials/E0115/claims https://erdosproblems.ai/wiki/problems/polynomials/E0116 https://erdosproblems.ai/wiki/problems/polynomials/E0116/claims/1961_01_01_pommerenke https://erdosproblems.ai/wiki/problems/polynomials/E0116/claims/2025_03_24_krishnapur_lundberg_ramachandran https://erdosproblems.ai/wiki/problems/polynomials/E0116/claims https://erdosproblems.ai/wiki/problems/polynomials/E0119 https://erdosproblems.ai/wiki/problems/polynomials/E0119/claims/1980_03_01_wagner https://erdosproblems.ai/wiki/problems/polynomials/E0119/claims/1991_11_01_beck https://erdosproblems.ai/wiki/problems/polynomials/E0119/claims/2026_07_14_korsky https://erdosproblems.ai/wiki/problems/polynomials/E0119/claims/2026_08_29_korsky https://erdosproblems.ai/wiki/problems/polynomials/E0119/claims https://erdosproblems.ai/wiki/problems/polynomials/E0228 https://erdosproblems.ai/wiki/problems/polynomials/E0228/claims/2019_07_22_balister_bollobas_morris_sahasrabudhe_tiba https://erdosproblems.ai/wiki/problems/polynomials/E0228/claims/2026_10_05_openai https://erdosproblems.ai/wiki/problems/polynomials/E0228/claims https://erdosproblems.ai/wiki/problems/polynomials/E0230 https://erdosproblems.ai/wiki/problems/polynomials/E0230/claims/1980_09_01_kahane https://erdosproblems.ai/wiki/problems/polynomials/E0230/claims/2009_06_30_bombieri_bourgain https://erdosproblems.ai/wiki/problems/polynomials/E0230/claims/2026_09_23_openai https://erdosproblems.ai/wiki/problems/polynomials/E0230/claims https://erdosproblems.ai/wiki/problems/polynomials/E0485 https://erdosproblems.ai/wiki/problems/polynomials/E0485/claims/1987_01_01_schinzel https://erdosproblems.ai/wiki/problems/polynomials/E0485/claims/2009_03_31_schinzel_zannier https://erdosproblems.ai/wiki/problems/polynomials/E0485/claims https://erdosproblems.ai/wiki/problems/polynomials/E0509 https://erdosproblems.ai/wiki/problems/polynomials/E0509/claims/1959_01_01_pommerenke https://erdosproblems.ai/wiki/problems/polynomials/E0509/claims/1961_01_01_pommerenke https://erdosproblems.ai/wiki/problems/polynomials/E0509/claims/2026_07_19_hong https://erdosproblems.ai/wiki/problems/polynomials/E0509/claims https://erdosproblems.ai/wiki/problems/polynomials/E0521 https://erdosproblems.ai/wiki/problems/polynomials/E0521/claims/2026_04_30_kovac https://erdosproblems.ai/wiki/problems/polynomials/E0521/claims/2026_05_07_kwon_zou https://erdosproblems.ai/wiki/problems/polynomials/E0521/claims/2026_07_21_sneiderman https://erdosproblems.ai/wiki/problems/polynomials/E0521/claims/2026_07_23_snyder https://erdosproblems.ai/wiki/problems/polynomials/E0521/claims/2026_08_01_an_lin https://erdosproblems.ai/wiki/problems/polynomials/E0521/claims/2026_08_26_alexeev https://erdosproblems.ai/wiki/problems/polynomials/E0521/claims https://erdosproblems.ai/wiki/problems/polynomials/E0522 https://erdosproblems.ai/wiki/problems/polynomials/E0522/claims/2026_04_20_chojecki https://erdosproblems.ai/wiki/problems/polynomials/E0522/claims/2026_04_28_kwon_zou https://erdosproblems.ai/wiki/problems/polynomials/E0522/claims/2026_07_23_snyder https://erdosproblems.ai/wiki/problems/polynomials/E0522/claims/2026_09_25_kawada https://erdosproblems.ai/wiki/problems/polynomials/E0522/claims/2026_09_25_kitamura https://erdosproblems.ai/wiki/problems/polynomials/E0522/claims https://erdosproblems.ai/wiki/problems/polynomials/E0523 https://erdosproblems.ai/wiki/problems/polynomials/E0523/claims/1973_04_20_halasz https://erdosproblems.ai/wiki/problems/polynomials/E0523/claims https://erdosproblems.ai/wiki/problems/polynomials/E0524 https://erdosproblems.ai/wiki/problems/polynomials/E0524/claims/2026_01_30_chojecki https://erdosproblems.ai/wiki/problems/polynomials/E0524/claims/2026_04_21_letwin_sawhney https://erdosproblems.ai/wiki/problems/polynomials/E0524/claims https://erdosproblems.ai/wiki/problems/polynomials/E0525 https://erdosproblems.ai/wiki/problems/polynomials/E0525/claims/1987_01_01_kashin https://erdosproblems.ai/wiki/problems/polynomials/E0525/claims/1994_06_20_konyagin https://erdosproblems.ai/wiki/problems/polynomials/E0525/claims/1999_08_27_konyagin_schlag https://erdosproblems.ai/wiki/problems/polynomials/E0525/claims/2021_01_18_cook_nguyen https://erdosproblems.ai/wiki/problems/polynomials/E0525/claims https://erdosproblems.ai/wiki/problems/polynomials/E0975 https://erdosproblems.ai/wiki/problems/polynomials/E0975/claims/1963_01_01_hooley https://erdosproblems.ai/wiki/problems/polynomials/E0975/claims/1995_05_01_mckee https://erdosproblems.ai/wiki/problems/polynomials/E0975/claims/1997_01_30_mckee https://erdosproblems.ai/wiki/problems/polynomials/E0975/claims/1999_01_01_mckee https://erdosproblems.ai/wiki/problems/polynomials/E0975/claims https://erdosproblems.ai/wiki/problems/polynomials/E1039 https://erdosproblems.ai/wiki/problems/polynomials/E1039/claims/1961_01_01_pommerenke https://erdosproblems.ai/wiki/problems/polynomials/E1039/claims/2025_03_24_krishnapur_lundberg_ramachandran https://erdosproblems.ai/wiki/problems/polynomials/E1039/claims/2026_03_06_houi https://erdosproblems.ai/wiki/problems/polynomials/E1039/claims/2026_05_07_price https://erdosproblems.ai/wiki/problems/polynomials/E1039/claims/2026_09_06_geng_qiu https://erdosproblems.ai/wiki/problems/polynomials/E1039/claims https://erdosproblems.ai/wiki/problems/polynomials/E1041 https://erdosproblems.ai/wiki/problems/polynomials/E1041/claims/2026_03_17_ani https://erdosproblems.ai/wiki/problems/polynomials/E1041/claims/2026_04_22_kasko37 https://erdosproblems.ai/wiki/problems/polynomials/E1041/claims/2026_06_23_pendyala https://erdosproblems.ai/wiki/problems/polynomials/E1041/claims/2026_09_07_ani https://erdosproblems.ai/wiki/problems/polynomials/E1041/claims/2026_09_11_cook https://erdosproblems.ai/wiki/problems/polynomials/E1041/claims/2026_09_18_borisov https://erdosproblems.ai/wiki/problems/polynomials/E1041/claims https://erdosproblems.ai/wiki/problems/polynomials/E1114 https://erdosproblems.ai/wiki/problems/polynomials/E1114/claims/1960_01_01_balint https://erdosproblems.ai/wiki/problems/polynomials/E1114/claims https://erdosproblems.ai/wiki/problems/polynomials/E1129 https://erdosproblems.ai/wiki/problems/polynomials/E1129/claims/1978_12_01_deboor_pinkus https://erdosproblems.ai/wiki/problems/polynomials/E1129/claims/1978_12_01_kilgore https://erdosproblems.ai/wiki/problems/polynomials/E1129/claims/2015_06_01_rack_vajda https://erdosproblems.ai/wiki/problems/polynomials/E1129/claims https://erdosproblems.ai/wiki/problems/polynomials/E1130 https://erdosproblems.ai/wiki/problems/polynomials/E1130/claims/1978_12_01_deboor_pinkus https://erdosproblems.ai/wiki/problems/polynomials/E1130/claims https://erdosproblems.ai/wiki/problems/polynomials/E1131 https://erdosproblems.ai/wiki/problems/polynomials/E1131/claims/2026_04_26_price https://erdosproblems.ai/wiki/problems/polynomials/E1131/claims https://erdosproblems.ai/wiki/problems/polynomials/E1132 https://erdosproblems.ai/wiki/problems/polynomials/E1132/claims/2026_09_05_gu https://erdosproblems.ai/wiki/problems/polynomials/E1132/claims https://erdosproblems.ai/wiki/problems/polynomials/E1133 https://erdosproblems.ai/wiki/problems/polynomials/E1133/claims/2026_04_29_chojecki https://erdosproblems.ai/wiki/problems/polynomials/E1133/claims/2026_09_13_yang https://erdosproblems.ai/wiki/problems/polynomials/E1133/claims https://erdosproblems.ai/wiki/problems/polynomials/E1150 https://erdosproblems.ai/wiki/problems/polynomials/E1150/claims/2016_09_12_el_abdalaoui https://erdosproblems.ai/wiki/problems/polynomials/E1150/claims/2025_04_30_el_abdalaoui https://erdosproblems.ai/wiki/problems/polynomials/E1150/claims/2025_09_04_el_abdalaoui https://erdosproblems.ai/wiki/problems/polynomials/E1150/claims/2026_09_23_openai https://erdosproblems.ai/wiki/problems/polynomials/E1150/claims https://erdosproblems.ai/wiki/problems/polynomials/E1151 https://erdosproblems.ai/wiki/problems/polynomials/E1151/claims/2026_04_30_chojecki https://erdosproblems.ai/wiki/problems/polynomials/E1151/claims https://erdosproblems.ai/wiki/problems/polynomials/E1152 https://erdosproblems.ai/wiki/problems/polynomials/E1152/claims/2026_09_04_gu https://erdosproblems.ai/wiki/problems/polynomials/E1152/claims https://erdosproblems.ai/wiki/problems/polynomials/E1153 https://erdosproblems.ai/wiki/problems/polynomials/E1153/claims/1961_01_01_erdos https://erdosproblems.ai/wiki/problems/polynomials/E1153/claims/2026_03_23_tao https://erdosproblems.ai/wiki/problems/polynomials/E1153/claims/2026_08_31_yang https://erdosproblems.ai/wiki/problems/polynomials/E1153/claims https://erdosproblems.ai/wiki/problems/polynomials https://erdosproblems.ai/wiki/problems/primes/E0004 https://erdosproblems.ai/wiki/problems/primes/E0004/claims/1938_10_01_rankin https://erdosproblems.ai/wiki/problems/primes/E0004/claims/2014_08_20_ford_green_konyagin_tao https://erdosproblems.ai/wiki/problems/primes/E0004/claims/2014_08_21_maynard https://erdosproblems.ai/wiki/problems/primes/E0004/claims/2014_12_16_ford_green_konyagin_maynard_tao https://erdosproblems.ai/wiki/problems/primes/E0004/claims/2026_08_26_alexeev https://erdosproblems.ai/wiki/problems/primes/E0004/claims/2026_08_26_dottedcalculator https://erdosproblems.ai/wiki/problems/primes/E0004/claims/2026_09_03_openai https://erdosproblems.ai/wiki/problems/primes/E0004/claims https://erdosproblems.ai/wiki/problems/primes/E0005 https://erdosproblems.ai/wiki/problems/primes/E0005/claims/2005_08_10_goldston_pintz_yildirim https://erdosproblems.ai/wiki/problems/primes/E0005/claims/2013_05_27_pintz https://erdosproblems.ai/wiki/problems/primes/E0005/claims https://erdosproblems.ai/wiki/problems/primes/E0006 https://erdosproblems.ai/wiki/problems/primes/E0006/claims/2013_11_27_banks_freiberg_turnage_butterbaugh https://erdosproblems.ai/wiki/problems/primes/E0006/claims https://erdosproblems.ai/wiki/problems/primes/E0015 https://erdosproblems.ai/wiki/problems/primes/E0015/claims/2023_08_14_tao https://erdosproblems.ai/wiki/problems/primes/E0015/claims https://erdosproblems.ai/wiki/problems/primes/E0017 https://erdosproblems.ai/wiki/problems/primes/E0049 https://erdosproblems.ai/wiki/problems/primes/E0049/claims/2023_09_05_tao https://erdosproblems.ai/wiki/problems/primes/E0049/claims https://erdosproblems.ai/wiki/problems/primes/E0218 https://erdosproblems.ai/wiki/problems/primes/E0233 https://erdosproblems.ai/wiki/problems/primes/E0234 https://erdosproblems.ai/wiki/problems/primes/E0234/claims/1976_06_01_gallagher https://erdosproblems.ai/wiki/problems/primes/E0234/claims https://erdosproblems.ai/wiki/problems/primes/E0236 https://erdosproblems.ai/wiki/problems/primes/E0237 https://erdosproblems.ai/wiki/problems/primes/E0237/claims/1950_11_01_erdos https://erdosproblems.ai/wiki/problems/primes/E0237/claims/2022_01_26_chen_ding https://erdosproblems.ai/wiki/problems/primes/E0237/claims https://erdosproblems.ai/wiki/problems/primes/E0238 https://erdosproblems.ai/wiki/problems/primes/E0238/claims/1949_01_01_erdos https://erdosproblems.ai/wiki/problems/primes/E0238/claims https://erdosproblems.ai/wiki/problems/primes/E0240 https://erdosproblems.ai/wiki/problems/primes/E0240/claims/1973_01_01_tijdeman https://erdosproblems.ai/wiki/problems/primes/E0240/claims https://erdosproblems.ai/wiki/problems/primes/E0244 https://erdosproblems.ai/wiki/problems/primes/E0244/claims/1934_12_01_romanoff https://erdosproblems.ai/wiki/problems/primes/E0244/claims/2025_03_17_ding https://erdosproblems.ai/wiki/problems/primes/E0244/claims https://erdosproblems.ai/wiki/problems/primes/E0427 https://erdosproblems.ai/wiki/problems/primes/E0427/claims/2024_05_25_pilatte https://erdosproblems.ai/wiki/problems/primes/E0427/claims https://erdosproblems.ai/wiki/problems/primes/E0428 https://erdosproblems.ai/wiki/problems/primes/E0431 https://erdosproblems.ai/wiki/problems/primes/E0431/claims/2026_09_24_openai https://erdosproblems.ai/wiki/problems/primes/E0431/claims https://erdosproblems.ai/wiki/problems/primes/E0454 https://erdosproblems.ai/wiki/problems/primes/E0458 https://erdosproblems.ai/wiki/problems/primes/E0459 https://erdosproblems.ai/wiki/problems/primes/E0459/claims/2025_09_13_cambie https://erdosproblems.ai/wiki/problems/primes/E0459/claims https://erdosproblems.ai/wiki/problems/primes/E0461 https://erdosproblems.ai/wiki/problems/primes/E0462 https://erdosproblems.ai/wiki/problems/primes/E0463 https://erdosproblems.ai/wiki/problems/primes/E0680 https://erdosproblems.ai/wiki/problems/primes/E0681 https://erdosproblems.ai/wiki/problems/primes/E0682 https://erdosproblems.ai/wiki/problems/primes/E0682/claims/2025_08_08_gafni_tao https://erdosproblems.ai/wiki/problems/primes/E0682/claims https://erdosproblems.ai/wiki/problems/primes/E0779 https://erdosproblems.ai/wiki/problems/primes/E0850 https://erdosproblems.ai/wiki/problems/primes/E0850/claims/2016_12_16_shorey_tijdeman https://erdosproblems.ai/wiki/problems/primes/E0850/claims https://erdosproblems.ai/wiki/problems/primes/E0852 https://erdosproblems.ai/wiki/problems/primes/E0852/claims/2026_04_24_chojecki https://erdosproblems.ai/wiki/problems/primes/E0852/claims/2026_04_24_turturean https://erdosproblems.ai/wiki/problems/primes/E0852/claims https://erdosproblems.ai/wiki/problems/primes/E0853 https://erdosproblems.ai/wiki/problems/primes/E0855 https://erdosproblems.ai/wiki/problems/primes/E0855/claims/1973_01_01_hensley_richards https://erdosproblems.ai/wiki/problems/primes/E0855/claims https://erdosproblems.ai/wiki/problems/primes/E0860 https://erdosproblems.ai/wiki/problems/primes/E0860/claims/1980_06_13_erdos_pomerance https://erdosproblems.ai/wiki/problems/primes/E0860/claims/1980_06_13_erdos_selfridge https://erdosproblems.ai/wiki/problems/primes/E0860/claims/1995_01_01_ruzsa https://erdosproblems.ai/wiki/problems/primes/E0860/claims/2026_07_26_korsky https://erdosproblems.ai/wiki/problems/primes/E0860/claims/2026_07_29_chen https://erdosproblems.ai/wiki/problems/primes/E0860/claims/2026_08_13_chen_korsky https://erdosproblems.ai/wiki/problems/primes/E0860/claims https://erdosproblems.ai/wiki/problems/primes/E0890 https://erdosproblems.ai/wiki/problems/primes/E0950 https://erdosproblems.ai/wiki/problems/primes/E1055 https://erdosproblems.ai/wiki/problems/primes/E1059 https://erdosproblems.ai/wiki/problems/primes/E1059/claims/2026_09_05_land https://erdosproblems.ai/wiki/problems/primes/E1059/claims https://erdosproblems.ai/wiki/problems/primes/E1137 https://erdosproblems.ai/wiki/problems/primes/E1138 https://erdosproblems.ai/wiki/problems/primes/E1138/claims/2026_04_25_sunder_kumrawat_cheri https://erdosproblems.ai/wiki/problems/primes/E1138/claims https://erdosproblems.ai/wiki/problems/primes/E1139 https://erdosproblems.ai/wiki/problems/primes/E1139/claims/2026_06_19_price https://erdosproblems.ai/wiki/problems/primes/E1139/claims https://erdosproblems.ai/wiki/problems/primes/E1141 https://erdosproblems.ai/wiki/problems/primes/E1141/claims/2026_04_08_alexeev_putterman_sawhney_sellke_valiant https://erdosproblems.ai/wiki/problems/primes/E1141/claims https://erdosproblems.ai/wiki/problems/primes/E1142 https://erdosproblems.ai/wiki/problems/primes/E1143 https://erdosproblems.ai/wiki/problems/primes/E1143/claims/1978_01_01_erdos_selfridge https://erdosproblems.ai/wiki/problems/primes/E1143/claims https://erdosproblems.ai/wiki/problems/primes/E1184 https://erdosproblems.ai/wiki/problems/primes/E1200 https://erdosproblems.ai/wiki/problems/primes/E1201 https://erdosproblems.ai/wiki/problems/primes/E1201/claims/2026_04_30_chojecki https://erdosproblems.ai/wiki/problems/primes/E1201/claims/2026_05_01_chojecki https://erdosproblems.ai/wiki/problems/primes/E1201/claims https://erdosproblems.ai/wiki/problems/primes/E1202 https://erdosproblems.ai/wiki/problems/primes/E1202/claims/2026_04_07_price https://erdosproblems.ai/wiki/problems/primes/E1202/claims https://erdosproblems.ai/wiki/problems/primes/E1212 https://erdosproblems.ai/wiki/problems/primes/E1212/claims/2026_09_06_li https://erdosproblems.ai/wiki/problems/primes/E1212/claims https://erdosproblems.ai/wiki/problems/primes https://erdosproblems.ai/wiki/problems/ramsey_theory/E0054 https://erdosproblems.ai/wiki/problems/ramsey_theory/E0054/claims/2021_04_30_conlon_fox_pham https://erdosproblems.ai/wiki/problems/ramsey_theory/E0054/claims https://erdosproblems.ai/wiki/problems/ramsey_theory/E0055 https://erdosproblems.ai/wiki/problems/ramsey_theory/E0055/claims/2021_04_30_conlon_fox_pham https://erdosproblems.ai/wiki/problems/ramsey_theory/E0055/claims https://erdosproblems.ai/wiki/problems/ramsey_theory/E0076 https://erdosproblems.ai/wiki/problems/ramsey_theory/E0076/claims/2020_08_12_gruslys_letzter https://erdosproblems.ai/wiki/problems/ramsey_theory/E0076/claims https://erdosproblems.ai/wiki/problems/ramsey_theory/E0077 https://erdosproblems.ai/wiki/problems/ramsey_theory/E0078 https://erdosproblems.ai/wiki/problems/ramsey_theory/E0079 https://erdosproblems.ai/wiki/problems/ramsey_theory/E0079/claims/2024_09_09_wigderson https://erdosproblems.ai/wiki/problems/ramsey_theory/E0079/claims https://erdosproblems.ai/wiki/problems/ramsey_theory/E0080 https://erdosproblems.ai/wiki/problems/ramsey_theory/E0080/claims/1979_01_01_khadzhiivanov_nikiforov https://erdosproblems.ai/wiki/problems/ramsey_theory/E0080/claims/2011_06_01_fox_loh https://erdosproblems.ai/wiki/problems/ramsey_theory/E0080/claims https://erdosproblems.ai/wiki/problems/ramsey_theory/E0085 https://erdosproblems.ai/wiki/problems/ramsey_theory/E0087 https://erdosproblems.ai/wiki/problems/ramsey_theory/E0088 https://erdosproblems.ai/wiki/problems/ramsey_theory/E0088/claims/2022_08_04_kwan_sah_sauermann_sawhney https://erdosproblems.ai/wiki/problems/ramsey_theory/E0088/claims https://erdosproblems.ai/wiki/problems/ramsey_theory/E0112 https://erdosproblems.ai/wiki/problems/ramsey_theory/E0112/claims/2026_09_22_muhamadiev https://erdosproblems.ai/wiki/problems/ramsey_theory/E0112/claims https://erdosproblems.ai/wiki/problems/ramsey_theory/E0129 https://erdosproblems.ai/wiki/problems/ramsey_theory/E0129/claims/2025_10_20_girao https://erdosproblems.ai/wiki/problems/ramsey_theory/E0129/claims https://erdosproblems.ai/wiki/problems/ramsey_theory/E0159 https://erdosproblems.ai/wiki/problems/ramsey_theory/E0163 https://erdosproblems.ai/wiki/problems/ramsey_theory/E0163/claims/2015_05_18_lee https://erdosproblems.ai/wiki/problems/ramsey_theory/E0163/claims https://erdosproblems.ai/wiki/problems/ramsey_theory/E0165 https://erdosproblems.ai/wiki/problems/ramsey_theory/E0166 https://erdosproblems.ai/wiki/problems/ramsey_theory/E0166/claims/2023_06_06_mattheus_verstraete https://erdosproblems.ai/wiki/problems/ramsey_theory/E0166/claims https://erdosproblems.ai/wiki/problems/ramsey_theory/E0172 https://erdosproblems.ai/wiki/problems/ramsey_theory/E0172/claims/1979_01_01_hindman https://erdosproblems.ai/wiki/problems/ramsey_theory/E0172/claims/2026_09_23_openai https://erdosproblems.ai/wiki/problems/ramsey_theory/E0172/claims https://erdosproblems.ai/wiki/problems/ramsey_theory/E0181 https://erdosproblems.ai/wiki/problems/ramsey_theory/E0181/claims/2026_09_23_openai https://erdosproblems.ai/wiki/problems/ramsey_theory/E0181/claims https://erdosproblems.ai/wiki/problems/ramsey_theory/E0183 https://erdosproblems.ai/wiki/problems/ramsey_theory/E0183/claims/2026_08_01_openai https://erdosproblems.ai/wiki/problems/ramsey_theory/E0183/claims https://erdosproblems.ai/wiki/problems/ramsey_theory/E0187 https://erdosproblems.ai/wiki/problems/ramsey_theory/E0187/claims/1973_01_01_erdos https://erdosproblems.ai/wiki/problems/ramsey_theory/E0187/claims/1980_11_01_beck https://erdosproblems.ai/wiki/problems/ramsey_theory/E0187/claims https://erdosproblems.ai/wiki/problems/ramsey_theory/E0191 https://erdosproblems.ai/wiki/problems/ramsey_theory/E0191/claims/2003_04_23_rodl https://erdosproblems.ai/wiki/problems/ramsey_theory/E0191/claims/2011_12_07_conlon_fox_sudakov https://erdosproblems.ai/wiki/problems/ramsey_theory/E0191/claims https://erdosproblems.ai/wiki/problems/ramsey_theory/E0439 https://erdosproblems.ai/wiki/problems/ramsey_theory/E0439/claims/1989_01_01_erdos_sarkozy_sos https://erdosproblems.ai/wiki/problems/ramsey_theory/E0439/claims/2006_01_03_khalfalah_szemeredi https://erdosproblems.ai/wiki/problems/ramsey_theory/E0439/claims https://erdosproblems.ai/wiki/problems/ramsey_theory/E0483 https://erdosproblems.ai/wiki/problems/ramsey_theory/E0484 https://erdosproblems.ai/wiki/problems/ramsey_theory/E0484/claims/1989_01_01_erdos_sarkozy_sos https://erdosproblems.ai/wiki/problems/ramsey_theory/E0484/claims https://erdosproblems.ai/wiki/problems/ramsey_theory/E0518 https://erdosproblems.ai/wiki/problems/ramsey_theory/E0518/claims/2024_09_05_pokrovskiy_versteegen_williams https://erdosproblems.ai/wiki/problems/ramsey_theory/E0518/claims/2026_07_24_chen_chen https://erdosproblems.ai/wiki/problems/ramsey_theory/E0518/claims https://erdosproblems.ai/wiki/problems/ramsey_theory/E0531 https://erdosproblems.ai/wiki/problems/ramsey_theory/E0532 https://erdosproblems.ai/wiki/problems/ramsey_theory/E0532/claims/1974_07_01_hindman https://erdosproblems.ai/wiki/problems/ramsey_theory/E0532/claims/1974_11_01_baumgartner https://erdosproblems.ai/wiki/problems/ramsey_theory/E0532/claims https://erdosproblems.ai/wiki/problems/ramsey_theory/E0544 https://erdosproblems.ai/wiki/problems/ramsey_theory/E0545 https://erdosproblems.ai/wiki/problems/ramsey_theory/E0545/claims/2025_10_28_louisd https://erdosproblems.ai/wiki/problems/ramsey_theory/E0545/claims https://erdosproblems.ai/wiki/problems/ramsey_theory/E0546 https://erdosproblems.ai/wiki/problems/ramsey_theory/E0546/claims/2003_11_01_alon_krivelevich_sudakov https://erdosproblems.ai/wiki/problems/ramsey_theory/E0546/claims/2010_01_30_sudakov https://erdosproblems.ai/wiki/problems/ramsey_theory/E0546/claims https://erdosproblems.ai/wiki/problems/ramsey_theory/E0547 https://erdosproblems.ai/wiki/problems/ramsey_theory/E0547/claims/1967_01_01_gerencser_gyarfas https://erdosproblems.ai/wiki/problems/ramsey_theory/E0547/claims/1979_01_01_grossman_harary_klawe https://erdosproblems.ai/wiki/problems/ramsey_theory/E0547/claims/2011_02_04_zhao https://erdosproblems.ai/wiki/problems/ramsey_theory/E0547/claims/2025_09_09_montgomery_pavez_signe_yan https://erdosproblems.ai/wiki/problems/ramsey_theory/E0547/claims/2026_08_26_alexeev https://erdosproblems.ai/wiki/problems/ramsey_theory/E0547/claims/2026_08_26_alexeev_literal https://erdosproblems.ai/wiki/problems/ramsey_theory/E0547/claims/2026_09_03_adamczewski https://erdosproblems.ai/wiki/problems/ramsey_theory/E0547/claims https://erdosproblems.ai/wiki/problems/ramsey_theory/E0549 https://erdosproblems.ai/wiki/problems/ramsey_theory/E0549/claims/1976_01_01_burr_erdos https://erdosproblems.ai/wiki/problems/ramsey_theory/E0549/claims/1979_01_01_grossman_harary_klawe https://erdosproblems.ai/wiki/problems/ramsey_theory/E0549/claims/1982_01_01_erdos_faudree_rousseau_schelp https://erdosproblems.ai/wiki/problems/ramsey_theory/E0549/claims/2016_05_11_norin_sun_zhao https://erdosproblems.ai/wiki/problems/ramsey_theory/E0549/claims/2025_09_09_montgomery_pavez_signe_yan https://erdosproblems.ai/wiki/problems/ramsey_theory/E0549/claims https://erdosproblems.ai/wiki/problems/ramsey_theory/E0550 https://erdosproblems.ai/wiki/problems/ramsey_theory/E0550/claims/1977_03_01_chvatal https://erdosproblems.ai/wiki/problems/ramsey_theory/E0550/claims/1985_12_01_erdos_faudree_rousseau_schelp https://erdosproblems.ai/wiki/problems/ramsey_theory/E0550/claims/1989_12_01_erdos_faudree_rousseau_schelp https://erdosproblems.ai/wiki/problems/ramsey_theory/E0550/claims/2026_06_22_li https://erdosproblems.ai/wiki/problems/ramsey_theory/E0550/claims https://erdosproblems.ai/wiki/problems/ramsey_theory/E0551 https://erdosproblems.ai/wiki/problems/ramsey_theory/E0551/claims/1973_02_01_bondy_erdos https://erdosproblems.ai/wiki/problems/ramsey_theory/E0551/claims/2004_04_27_nikiforov https://erdosproblems.ai/wiki/problems/ramsey_theory/E0551/claims/2018_07_17_keevash_long_skokan https://erdosproblems.ai/wiki/problems/ramsey_theory/E0551/claims/2026_09_25_openai https://erdosproblems.ai/wiki/problems/ramsey_theory/E0551/claims https://erdosproblems.ai/wiki/problems/ramsey_theory/E0552 https://erdosproblems.ai/wiki/problems/ramsey_theory/E0552/claims/1975_01_01_parsons https://erdosproblems.ai/wiki/problems/ramsey_theory/E0552/claims/2015_01_24_wu_sun_zhang_radziszowski https://erdosproblems.ai/wiki/problems/ramsey_theory/E0552/claims/2017_04_01_zhang_chen_cheng https://erdosproblems.ai/wiki/problems/ramsey_theory/E0552/claims/2017_05_01_zhang_chen_cheng https://erdosproblems.ai/wiki/problems/ramsey_theory/E0552/claims/2024_09_19_boza https://erdosproblems.ai/wiki/problems/ramsey_theory/E0552/claims https://erdosproblems.ai/wiki/problems/ramsey_theory/E0553 https://erdosproblems.ai/wiki/problems/ramsey_theory/E0553/claims/2005_03_01_alon_rodl https://erdosproblems.ai/wiki/problems/ramsey_theory/E0553/claims https://erdosproblems.ai/wiki/problems/ramsey_theory/E0554 https://erdosproblems.ai/wiki/problems/ramsey_theory/E0554/claims/2026_08_01_mysticflounder https://erdosproblems.ai/wiki/problems/ramsey_theory/E0554/claims https://erdosproblems.ai/wiki/problems/ramsey_theory/E0555 https://erdosproblems.ai/wiki/problems/ramsey_theory/E0556 https://erdosproblems.ai/wiki/problems/ramsey_theory/E0556/claims/1955_01_01_greenwood_gleason https://erdosproblems.ai/wiki/problems/ramsey_theory/E0556/claims/2005_06_01_kohayakawa_simonovits_skokan https://erdosproblems.ai/wiki/problems/ramsey_theory/E0556/claims/2008_09_21_benevides_skokan https://erdosproblems.ai/wiki/problems/ramsey_theory/E0556/claims/2016_08_19_jenssen_skokan https://erdosproblems.ai/wiki/problems/ramsey_theory/E0556/claims https://erdosproblems.ai/wiki/problems/ramsey_theory/E0557 https://erdosproblems.ai/wiki/problems/ramsey_theory/E0557/claims/2026_09_03_adamczewski https://erdosproblems.ai/wiki/problems/ramsey_theory/E0557/claims/2026_09_04_reed_stein https://erdosproblems.ai/wiki/problems/ramsey_theory/E0557/claims https://erdosproblems.ai/wiki/problems/ramsey_theory/E0558 https://erdosproblems.ai/wiki/problems/ramsey_theory/E0558/claims/1999_07_01_alon_ronyai_szabo https://erdosproblems.ai/wiki/problems/ramsey_theory/E0558/claims https://erdosproblems.ai/wiki/problems/ramsey_theory/E0559 https://erdosproblems.ai/wiki/problems/ramsey_theory/E0559/claims/1983_03_01_beck https://erdosproblems.ai/wiki/problems/ramsey_theory/E0559/claims/1987_03_01_friedman_pippenger https://erdosproblems.ai/wiki/problems/ramsey_theory/E0559/claims/1995_09_01_haxell_kohayakawa_luczak https://erdosproblems.ai/wiki/problems/ramsey_theory/E0559/claims/2000_02_01_rodl_szemeredi https://erdosproblems.ai/wiki/problems/ramsey_theory/E0559/claims/2017_01_25_javadi_khoeini_omidi_pokrovskiy https://erdosproblems.ai/wiki/problems/ramsey_theory/E0559/claims/2022_10_11_tikhomirov https://erdosproblems.ai/wiki/problems/ramsey_theory/E0559/claims https://erdosproblems.ai/wiki/problems/ramsey_theory/E0560 https://erdosproblems.ai/wiki/problems/ramsey_theory/E0561 https://erdosproblems.ai/wiki/problems/ramsey_theory/E0561/claims/1978_01_01_burr_erdos_faudree_rousseau_schelp https://erdosproblems.ai/wiki/problems/ramsey_theory/E0561/claims/2002_04_01_gyori_schelp https://erdosproblems.ai/wiki/problems/ramsey_theory/E0561/claims/2021_11_03_davoodi_javadi_kamranian_raeisi https://erdosproblems.ai/wiki/problems/ramsey_theory/E0561/claims/2026_06_03_fu_luo_ni https://erdosproblems.ai/wiki/problems/ramsey_theory/E0561/claims/2026_08_06_cipollini https://erdosproblems.ai/wiki/problems/ramsey_theory/E0561/claims/2026_09_04_tienxion https://erdosproblems.ai/wiki/problems/ramsey_theory/E0561/claims https://erdosproblems.ai/wiki/problems/ramsey_theory/E0562 https://erdosproblems.ai/wiki/problems/ramsey_theory/E0563 https://erdosproblems.ai/wiki/problems/ramsey_theory/E0564 https://erdosproblems.ai/wiki/problems/ramsey_theory/E0565 https://erdosproblems.ai/wiki/problems/ramsey_theory/E0565/claims/2025_09_26_aragao_campos_dahia_filipe_marciano https://erdosproblems.ai/wiki/problems/ramsey_theory/E0565/claims https://erdosproblems.ai/wiki/problems/ramsey_theory/E0566 https://erdosproblems.ai/wiki/problems/ramsey_theory/E0566/claims/1993_12_01_erdos_faudree_rousseau_schelp https://erdosproblems.ai/wiki/problems/ramsey_theory/E0566/claims/2022_02_21_bradac_gishboliner_sudakov https://erdosproblems.ai/wiki/problems/ramsey_theory/E0566/claims/2026_09_28_barria https://erdosproblems.ai/wiki/problems/ramsey_theory/E0566/claims https://erdosproblems.ai/wiki/problems/ramsey_theory/E0567 https://erdosproblems.ai/wiki/problems/ramsey_theory/E0568 https://erdosproblems.ai/wiki/problems/ramsey_theory/E0569 https://erdosproblems.ai/wiki/problems/ramsey_theory/E0569/claims/1993_07_01_sidorenko https://erdosproblems.ai/wiki/problems/ramsey_theory/E0569/claims/1994_02_01_goddard_kleitman https://erdosproblems.ai/wiki/problems/ramsey_theory/E0569/claims/2026_06_09_cambie_freschi https://erdosproblems.ai/wiki/problems/ramsey_theory/E0569/claims https://erdosproblems.ai/wiki/problems/ramsey_theory/E0570 https://erdosproblems.ai/wiki/problems/ramsey_theory/E0570/claims/1993_07_01_sidorenko https://erdosproblems.ai/wiki/problems/ramsey_theory/E0570/claims/1993_12_01_erdos_faudree_rousseau_schelp https://erdosproblems.ai/wiki/problems/ramsey_theory/E0570/claims/1994_02_01_goddard_kleitman https://erdosproblems.ai/wiki/problems/ramsey_theory/E0570/claims/1999_01_01_jayawardene https://erdosproblems.ai/wiki/problems/ramsey_theory/E0570/claims/2026_01_15_cambie_freschi_morawski_petrova_pokrovskiy https://erdosproblems.ai/wiki/problems/ramsey_theory/E0570/claims https://erdosproblems.ai/wiki/problems/ramsey_theory/E0582 https://erdosproblems.ai/wiki/problems/ramsey_theory/E0582/claims/1970_01_01_folkman https://erdosproblems.ai/wiki/problems/ramsey_theory/E0582/claims/1986_12_01_frankl_rodl https://erdosproblems.ai/wiki/problems/ramsey_theory/E0582/claims/1988_11_01_spencer https://erdosproblems.ai/wiki/problems/ramsey_theory/E0582/claims/2008_01_01_dudek_rodl https://erdosproblems.ai/wiki/problems/ramsey_theory/E0582/claims/2008_01_22_lu https://erdosproblems.ai/wiki/problems/ramsey_theory/E0582/claims/2012_07_16_lange_radziszowski_xu https://erdosproblems.ai/wiki/problems/ramsey_theory/E0582/claims https://erdosproblems.ai/wiki/problems/ramsey_theory/E0609 https://erdosproblems.ai/wiki/problems/ramsey_theory/E0609/claims/2016_02_24_day_johnson https://erdosproblems.ai/wiki/problems/ramsey_theory/E0609/claims/2024_12_10_girao_hunter https://erdosproblems.ai/wiki/problems/ramsey_theory/E0609/claims/2025_06_17_janzer_yip https://erdosproblems.ai/wiki/problems/ramsey_theory/E0609/claims/2026_09_25_cai https://erdosproblems.ai/wiki/problems/ramsey_theory/E0609/claims https://erdosproblems.ai/wiki/problems/ramsey_theory/E0613 https://erdosproblems.ai/wiki/problems/ramsey_theory/E0613/claims/1981_01_01_faudree https://erdosproblems.ai/wiki/problems/ramsey_theory/E0613/claims/2001_07_01_pikhurko https://erdosproblems.ai/wiki/problems/ramsey_theory/E0613/claims https://erdosproblems.ai/wiki/problems/ramsey_theory/E0615 https://erdosproblems.ai/wiki/problems/ramsey_theory/E0615/claims/2012_08_16_fox_loh_zhao https://erdosproblems.ai/wiki/problems/ramsey_theory/E0615/claims https://erdosproblems.ai/wiki/problems/ramsey_theory/E0636 https://erdosproblems.ai/wiki/problems/ramsey_theory/E0636/claims/2017_12_15_kwan_sudakov https://erdosproblems.ai/wiki/problems/ramsey_theory/E0636/claims https://erdosproblems.ai/wiki/problems/ramsey_theory/E0637 https://erdosproblems.ai/wiki/problems/ramsey_theory/E0637/claims/2006_11_14_bukh_sudakov https://erdosproblems.ai/wiki/problems/ramsey_theory/E0637/claims https://erdosproblems.ai/wiki/problems/ramsey_theory/E0638 https://erdosproblems.ai/wiki/problems/ramsey_theory/E0638/claims/2026_01_05_barreto https://erdosproblems.ai/wiki/problems/ramsey_theory/E0638/claims/2026_04_26_saturnino https://erdosproblems.ai/wiki/problems/ramsey_theory/E0638/claims https://erdosproblems.ai/wiki/problems/ramsey_theory/E0639 https://erdosproblems.ai/wiki/problems/ramsey_theory/E0639/claims/2003_07_16_keevash_sudakov https://erdosproblems.ai/wiki/problems/ramsey_theory/E0639/claims https://erdosproblems.ai/wiki/problems/ramsey_theory/E0645 https://erdosproblems.ai/wiki/problems/ramsey_theory/E0645/claims/1999_08_01_brown_landman https://erdosproblems.ai/wiki/problems/ramsey_theory/E0645/claims/2025_10_20_alweiss https://erdosproblems.ai/wiki/problems/ramsey_theory/E0645/claims https://erdosproblems.ai/wiki/problems/ramsey_theory/E0667 https://erdosproblems.ai/wiki/problems/ramsey_theory/E0720 https://erdosproblems.ai/wiki/problems/ramsey_theory/E0720/claims/1983_03_01_beck https://erdosproblems.ai/wiki/problems/ramsey_theory/E0720/claims/1995_09_01_haxell_kohayakawa_luczak https://erdosproblems.ai/wiki/problems/ramsey_theory/E0720/claims https://erdosproblems.ai/wiki/problems/ramsey_theory/E0721 https://erdosproblems.ai/wiki/problems/ramsey_theory/E0721/claims/2020_06_04_schoen https://erdosproblems.ai/wiki/problems/ramsey_theory/E0721/claims/2021_02_02_green https://erdosproblems.ai/wiki/problems/ramsey_theory/E0721/claims/2021_11_01_hunter https://erdosproblems.ai/wiki/problems/ramsey_theory/E0721/claims https://erdosproblems.ai/wiki/problems/ramsey_theory/E0800 https://erdosproblems.ai/wiki/problems/ramsey_theory/E0800/claims/1994_07_01_alon https://erdosproblems.ai/wiki/problems/ramsey_theory/E0800/claims/1997_06_01_li_rousseau_soltes https://erdosproblems.ai/wiki/problems/ramsey_theory/E0800/claims https://erdosproblems.ai/wiki/problems/ramsey_theory/E0801 https://erdosproblems.ai/wiki/problems/ramsey_theory/E0801/claims/1996_10_01_alon https://erdosproblems.ai/wiki/problems/ramsey_theory/E0801/claims https://erdosproblems.ai/wiki/problems/ramsey_theory/E0809 https://erdosproblems.ai/wiki/problems/ramsey_theory/E0809/claims/2026_03_19_bucic_chen_ma https://erdosproblems.ai/wiki/problems/ramsey_theory/E0809/claims/2026_09_27_plasma_ai https://erdosproblems.ai/wiki/problems/ramsey_theory/E0809/claims/2026_09_27_shahab https://erdosproblems.ai/wiki/problems/ramsey_theory/E0809/claims https://erdosproblems.ai/wiki/problems/ramsey_theory/E0810 https://erdosproblems.ai/wiki/problems/ramsey_theory/E0811 https://erdosproblems.ai/wiki/problems/ramsey_theory/E0811/claims/1993_01_01_erdos_tuza https://erdosproblems.ai/wiki/problems/ramsey_theory/E0811/claims/2022_09_28_axenovich_clemen https://erdosproblems.ai/wiki/problems/ramsey_theory/E0811/claims/2023_03_26_clemen_wagner https://erdosproblems.ai/wiki/problems/ramsey_theory/E0811/claims/2026_09_15_kitamura https://erdosproblems.ai/wiki/problems/ramsey_theory/E0811/claims https://erdosproblems.ai/wiki/problems/ramsey_theory/E0812 https://erdosproblems.ai/wiki/problems/ramsey_theory/E0894 https://erdosproblems.ai/wiki/problems/ramsey_theory/E0894/claims/2001_04_01_katznelson https://erdosproblems.ai/wiki/problems/ramsey_theory/E0894/claims/2007_06_01_peres_schlag https://erdosproblems.ai/wiki/problems/ramsey_theory/E0894/claims https://erdosproblems.ai/wiki/problems/ramsey_theory/E0911 https://erdosproblems.ai/wiki/problems/ramsey_theory/E0924 https://erdosproblems.ai/wiki/problems/ramsey_theory/E0924/claims/1970_01_01_folkman https://erdosproblems.ai/wiki/problems/ramsey_theory/E0924/claims/1976_06_01_nesetril_rodl https://erdosproblems.ai/wiki/problems/ramsey_theory/E0924/claims https://erdosproblems.ai/wiki/problems/ramsey_theory/E0925 https://erdosproblems.ai/wiki/problems/ramsey_theory/E0925/claims/2005_03_01_alon_rodl https://erdosproblems.ai/wiki/problems/ramsey_theory/E0925/claims https://erdosproblems.ai/wiki/problems/ramsey_theory/E0948 https://erdosproblems.ai/wiki/problems/ramsey_theory/E0948/claims/1991_02_01_erdos_galvin https://erdosproblems.ai/wiki/problems/ramsey_theory/E0948/claims/2026_06_21_price https://erdosproblems.ai/wiki/problems/ramsey_theory/E0948/claims https://erdosproblems.ai/wiki/problems/ramsey_theory/E0949 https://erdosproblems.ai/wiki/problems/ramsey_theory/E0949/claims/2026_01_06_deepmind https://erdosproblems.ai/wiki/problems/ramsey_theory/E0949/claims https://erdosproblems.ai/wiki/problems/ramsey_theory/E0965 https://erdosproblems.ai/wiki/problems/ramsey_theory/E0965/claims/2015_05_11_hindman_leader_strauss https://erdosproblems.ai/wiki/problems/ramsey_theory/E0965/claims/2015_09_01_soukup_weiss https://erdosproblems.ai/wiki/problems/ramsey_theory/E0965/claims/2016_01_01_komjath https://erdosproblems.ai/wiki/problems/ramsey_theory/E0965/claims https://erdosproblems.ai/wiki/problems/ramsey_theory/E0966 https://erdosproblems.ai/wiki/problems/ramsey_theory/E0966/claims/1975_11_01_spencer https://erdosproblems.ai/wiki/problems/ramsey_theory/E0966/claims https://erdosproblems.ai/wiki/problems/ramsey_theory/E0986 https://erdosproblems.ai/wiki/problems/ramsey_theory/E0986/claims/1977_01_01_spencer https://erdosproblems.ai/wiki/problems/ramsey_theory/E0986/claims/2023_06_06_mattheus_verstraete https://erdosproblems.ai/wiki/problems/ramsey_theory/E0986/claims/2026_06_16_bradac https://erdosproblems.ai/wiki/problems/ramsey_theory/E0986/claims/2026_09_24_openai https://erdosproblems.ai/wiki/problems/ramsey_theory/E0986/claims https://erdosproblems.ai/wiki/problems/ramsey_theory/E1014 https://erdosproblems.ai/wiki/problems/ramsey_theory/E1014/claims/2026_04_22_openai https://erdosproblems.ai/wiki/problems/ramsey_theory/E1014/claims https://erdosproblems.ai/wiki/problems/ramsey_theory/E1015 https://erdosproblems.ai/wiki/problems/ramsey_theory/E1015/claims/1966_11_01_moon https://erdosproblems.ai/wiki/problems/ramsey_theory/E1015/claims/1975_01_01_burr_erdos_spencer https://erdosproblems.ai/wiki/problems/ramsey_theory/E1015/claims https://erdosproblems.ai/wiki/problems/ramsey_theory/E1029 https://erdosproblems.ai/wiki/problems/ramsey_theory/E1030 https://erdosproblems.ai/wiki/problems/ramsey_theory/E1105 https://erdosproblems.ai/wiki/problems/ramsey_theory/E1105/claims/1984_03_01_simonovits_sos https://erdosproblems.ai/wiki/problems/ramsey_theory/E1105/claims/2005_09_01_montellano_ballesteros_neumann_lara https://erdosproblems.ai/wiki/problems/ramsey_theory/E1105/claims/2021_02_01_yuan https://erdosproblems.ai/wiki/problems/ramsey_theory/E1105/claims https://erdosproblems.ai/wiki/problems/ramsey_theory/E1182 https://erdosproblems.ai/wiki/problems/ramsey_theory/E1182/claims/1980_01_01_burr_erdos_faudree_rousseau_schelp https://erdosproblems.ai/wiki/problems/ramsey_theory/E1182/claims/1996_12_01_brandt https://erdosproblems.ai/wiki/problems/ramsey_theory/E1182/claims/2007_06_27_sudakov https://erdosproblems.ai/wiki/problems/ramsey_theory/E1182/claims/2026_09_10_gu https://erdosproblems.ai/wiki/problems/ramsey_theory/E1182/claims/2026_09_28_kataria https://erdosproblems.ai/wiki/problems/ramsey_theory/E1182/claims https://erdosproblems.ai/wiki/problems/ramsey_theory/E1183 https://erdosproblems.ai/wiki/problems/ramsey_theory/E1183/claims/2026_03_18_chojecki https://erdosproblems.ai/wiki/problems/ramsey_theory/E1183/claims/2026_09_30_bhattacharjee_mandal_bhattacharya https://erdosproblems.ai/wiki/problems/ramsey_theory/E1183/claims https://erdosproblems.ai/wiki/problems/ramsey_theory/E1198 https://erdosproblems.ai/wiki/problems/ramsey_theory/E1198/claims/1995_10_01_smith https://erdosproblems.ai/wiki/problems/ramsey_theory/E1198/claims https://erdosproblems.ai/wiki/problems/ramsey_theory/E1199 https://erdosproblems.ai/wiki/problems/ramsey_theory/E1199/claims/1979_07_01_hindman https://erdosproblems.ai/wiki/problems/ramsey_theory/E1199/claims/2026_07_19_huang_lian_shao_xiao_xu_zhang https://erdosproblems.ai/wiki/problems/ramsey_theory/E1199/claims https://erdosproblems.ai/wiki/problems/ramsey_theory/E1211 https://erdosproblems.ai/wiki/problems/ramsey_theory/E1211/claims/2021_05_31_conlon_fox_pham https://erdosproblems.ai/wiki/problems/ramsey_theory/E1211/claims https://erdosproblems.ai/wiki/problems/ramsey_theory/E1216 https://erdosproblems.ai/wiki/problems/ramsey_theory/E1216/claims/1970_10_01_reid_parker https://erdosproblems.ai/wiki/problems/ramsey_theory/E1216/claims/1994_06_01_neumann_lara https://erdosproblems.ai/wiki/problems/ramsey_theory/E1216/claims/1994_06_01_sanchez_flores https://erdosproblems.ai/wiki/problems/ramsey_theory/E1216/claims/1998_06_05_sanchez_flores https://erdosproblems.ai/wiki/problems/ramsey_theory/E1216/claims/2020_11_02_neiman_mackey_heule https://erdosproblems.ai/wiki/problems/ramsey_theory/E1216/claims https://erdosproblems.ai/wiki/problems/ramsey_theory https://erdosproblems.ai/wiki/problems/set_systems/E0020 https://erdosproblems.ai/wiki/problems/set_systems/E0021 https://erdosproblems.ai/wiki/problems/set_systems/E0021/claims/1994_01_01_kahn https://erdosproblems.ai/wiki/problems/set_systems/E0021/claims https://erdosproblems.ai/wiki/problems/set_systems/E0083 https://erdosproblems.ai/wiki/problems/set_systems/E0083/claims/1997_02_01_ahlswede_khachatrian https://erdosproblems.ai/wiki/problems/set_systems/E0083/claims https://erdosproblems.ai/wiki/problems/set_systems/E0207 https://erdosproblems.ai/wiki/problems/set_systems/E0207/claims/2022_01_12_kwan_sah_sawhney_simkin https://erdosproblems.ai/wiki/problems/set_systems/E0207/claims https://erdosproblems.ai/wiki/problems/set_systems/E0231 https://erdosproblems.ai/wiki/problems/set_systems/E0231/claims/1957_11_16_de_bruijn_erdos https://erdosproblems.ai/wiki/problems/set_systems/E0231/claims/1992_07_13_keranen https://erdosproblems.ai/wiki/problems/set_systems/E0231/claims https://erdosproblems.ai/wiki/problems/set_systems/E0447 https://erdosproblems.ai/wiki/problems/set_systems/E0447/claims/1971_01_01_kleitman https://erdosproblems.ai/wiki/problems/set_systems/E0447/claims https://erdosproblems.ai/wiki/problems/set_systems/E0497 https://erdosproblems.ai/wiki/problems/set_systems/E0497/claims/1969_06_01_kleitman https://erdosproblems.ai/wiki/problems/set_systems/E0497/claims https://erdosproblems.ai/wiki/problems/set_systems/E0499 https://erdosproblems.ai/wiki/problems/set_systems/E0499/claims/1962_08_01_marcus_minc https://erdosproblems.ai/wiki/problems/set_systems/E0499/claims/1980_01_01_egorychev https://erdosproblems.ai/wiki/problems/set_systems/E0499/claims/1980_01_01_gyires https://erdosproblems.ai/wiki/problems/set_systems/E0499/claims/1981_06_01_falikman https://erdosproblems.ai/wiki/problems/set_systems/E0499/claims https://erdosproblems.ai/wiki/problems/set_systems/E0624 https://erdosproblems.ai/wiki/problems/set_systems/E0643 https://erdosproblems.ai/wiki/problems/set_systems/E0643/claims/2026_09_29_huang_ma_yang https://erdosproblems.ai/wiki/problems/set_systems/E0643/claims https://erdosproblems.ai/wiki/problems/set_systems/E0644 https://erdosproblems.ai/wiki/problems/set_systems/E0644/claims/1992_01_01_erdos_fon_der_flaass_kostochka_tuza https://erdosproblems.ai/wiki/problems/set_systems/E0644/claims https://erdosproblems.ai/wiki/problems/set_systems/E0664 https://erdosproblems.ai/wiki/problems/set_systems/E0664/claims/2024_08_03_alon https://erdosproblems.ai/wiki/problems/set_systems/E0664/claims https://erdosproblems.ai/wiki/problems/set_systems/E0665 https://erdosproblems.ai/wiki/problems/set_systems/E0665/claims/1985_12_01_shrikhande_singhi https://erdosproblems.ai/wiki/problems/set_systems/E0665/claims https://erdosproblems.ai/wiki/problems/set_systems/E0701 https://erdosproblems.ai/wiki/problems/set_systems/E0701/claims/2011_01_01_borg https://erdosproblems.ai/wiki/problems/set_systems/E0701/claims/2018_09_05_eifler_gleixner_pulaj https://erdosproblems.ai/wiki/problems/set_systems/E0701/claims/2022_01_11_frankl_kupavskii https://erdosproblems.ai/wiki/problems/set_systems/E0701/claims/2026_09_16_chang_liu_liu https://erdosproblems.ai/wiki/problems/set_systems/E0701/claims/2026_09_20_keevash https://erdosproblems.ai/wiki/problems/set_systems/E0701/claims/2026_09_23_ellis_filmus_friedgut https://erdosproblems.ai/wiki/problems/set_systems/E0701/claims https://erdosproblems.ai/wiki/problems/set_systems/E0702 https://erdosproblems.ai/wiki/problems/set_systems/E0702/claims/1977_08_01_frankl https://erdosproblems.ai/wiki/problems/set_systems/E0702/claims/2026_08_18_alexeev https://erdosproblems.ai/wiki/problems/set_systems/E0702/claims https://erdosproblems.ai/wiki/problems/set_systems/E0703 https://erdosproblems.ai/wiki/problems/set_systems/E0703/claims/1984_03_01_frankl_furedi https://erdosproblems.ai/wiki/problems/set_systems/E0703/claims/1987_03_01_frankl_rodl https://erdosproblems.ai/wiki/problems/set_systems/E0703/claims https://erdosproblems.ai/wiki/problems/set_systems/E0716 https://erdosproblems.ai/wiki/problems/set_systems/E0716/claims/1978_01_01_ruzsa_szemeredi https://erdosproblems.ai/wiki/problems/set_systems/E0716/claims https://erdosproblems.ai/wiki/problems/set_systems/E0719 https://erdosproblems.ai/wiki/problems/set_systems/E0719/claims/1966_01_01_erdos_goodman_posa https://erdosproblems.ai/wiki/problems/set_systems/E0719/claims/2026_09_07_zeraoulia https://erdosproblems.ai/wiki/problems/set_systems/E0719/claims https://erdosproblems.ai/wiki/problems/set_systems/E0722 https://erdosproblems.ai/wiki/problems/set_systems/E0722/claims/1847_01_01_kirkman https://erdosproblems.ai/wiki/problems/set_systems/E0722/claims/1960_01_01_hanani https://erdosproblems.ai/wiki/problems/set_systems/E0722/claims/1961_06_01_hanani https://erdosproblems.ai/wiki/problems/set_systems/E0722/claims/1975_01_01_wilson https://erdosproblems.ai/wiki/problems/set_systems/E0722/claims/2014_01_15_keevash https://erdosproblems.ai/wiki/problems/set_systems/E0722/claims/2016_11_21_glock_kuhn_lo_osthus https://erdosproblems.ai/wiki/problems/set_systems/E0722/claims https://erdosproblems.ai/wiki/problems/set_systems/E0723 https://erdosproblems.ai/wiki/problems/set_systems/E0723/claims/1949_02_01_bruck_ryser https://erdosproblems.ai/wiki/problems/set_systems/E0723/claims/1989_12_01_lam_thiel_swiercz https://erdosproblems.ai/wiki/problems/set_systems/E0723/claims https://erdosproblems.ai/wiki/problems/set_systems/E0724 https://erdosproblems.ai/wiki/problems/set_systems/E0725 https://erdosproblems.ai/wiki/problems/set_systems/E0725/claims/1946_04_01_erdos_kaplansky https://erdosproblems.ai/wiki/problems/set_systems/E0725/claims/1951_01_01_yamamoto https://erdosproblems.ai/wiki/problems/set_systems/E0725/claims/1984_01_01_godsil_mckay https://erdosproblems.ai/wiki/problems/set_systems/E0725/claims/2026_08_03_li https://erdosproblems.ai/wiki/problems/set_systems/E0725/claims https://erdosproblems.ai/wiki/problems/set_systems/E0732 https://erdosproblems.ai/wiki/problems/set_systems/E0732/claims/2024_08_03_alon https://erdosproblems.ai/wiki/problems/set_systems/E0732/claims https://erdosproblems.ai/wiki/problems/set_systems/E0734 https://erdosproblems.ai/wiki/problems/set_systems/E0747 https://erdosproblems.ai/wiki/problems/set_systems/E0747/claims/2008_03_24_johansson_kahn_vu https://erdosproblems.ai/wiki/problems/set_systems/E0747/claims/2019_09_15_kahn https://erdosproblems.ai/wiki/problems/set_systems/E0747/claims https://erdosproblems.ai/wiki/problems/set_systems/E0775 https://erdosproblems.ai/wiki/problems/set_systems/E0775/claims/2025_10_16_gao https://erdosproblems.ai/wiki/problems/set_systems/E0775/claims https://erdosproblems.ai/wiki/problems/set_systems/E0776 https://erdosproblems.ai/wiki/problems/set_systems/E0776/claims/2026_02_10_he_tang https://erdosproblems.ai/wiki/problems/set_systems/E0776/claims/2026_07_17_thiim https://erdosproblems.ai/wiki/problems/set_systems/E0776/claims/2026_07_21_ronen https://erdosproblems.ai/wiki/problems/set_systems/E0776/claims https://erdosproblems.ai/wiki/problems/set_systems/E0834 https://erdosproblems.ai/wiki/problems/set_systems/E0834/claims/2025_12_31_li https://erdosproblems.ai/wiki/problems/set_systems/E0834/claims https://erdosproblems.ai/wiki/problems/set_systems/E0835 https://erdosproblems.ai/wiki/problems/set_systems/E0835/claims/2025_12_31_ma_tang https://erdosproblems.ai/wiki/problems/set_systems/E0835/claims/2026_01_23_deepmind https://erdosproblems.ai/wiki/problems/set_systems/E0835/claims https://erdosproblems.ai/wiki/problems/set_systems/E0837 https://erdosproblems.ai/wiki/problems/set_systems/E0857 https://erdosproblems.ai/wiki/problems/set_systems/E0857/claims/2016_06_30_naslund_sawin https://erdosproblems.ai/wiki/problems/set_systems/E0857/claims https://erdosproblems.ai/wiki/problems/set_systems/E0901 https://erdosproblems.ai/wiki/problems/set_systems/E0901/claims/1963_01_01_erdos https://erdosproblems.ai/wiki/problems/set_systems/E0901/claims/1964_09_01_erdos https://erdosproblems.ai/wiki/problems/set_systems/E0901/claims/1977_01_01_beck https://erdosproblems.ai/wiki/problems/set_systems/E0901/claims/1978_01_01_beck https://erdosproblems.ai/wiki/problems/set_systems/E0901/claims/2000_01_01_radhakrishnan_srinivasan https://erdosproblems.ai/wiki/problems/set_systems/E0901/claims/2009_02_10_pluhar https://erdosproblems.ai/wiki/problems/set_systems/E0901/claims/2014_01_01_ostergard https://erdosproblems.ai/wiki/problems/set_systems/E0901/claims https://erdosproblems.ai/wiki/problems/set_systems/E0903 https://erdosproblems.ai/wiki/problems/set_systems/E0903/claims/1985_03_01_erdos_fowler_sos_wilson https://erdosproblems.ai/wiki/problems/set_systems/E0903/claims https://erdosproblems.ai/wiki/problems/set_systems/E1020 https://erdosproblems.ai/wiki/problems/set_systems/E1020/claims/1961_01_01_erdos_ko_rado https://erdosproblems.ai/wiki/problems/set_systems/E1020/claims/1965_01_01_erdos https://erdosproblems.ai/wiki/problems/set_systems/E1020/claims/1968_09_01_kleitman https://erdosproblems.ai/wiki/problems/set_systems/E1020/claims/1976_01_01_bollobas_daykin_erdos https://erdosproblems.ai/wiki/problems/set_systems/E1020/claims/2011_07_27_huang_loh_sudakov https://erdosproblems.ai/wiki/problems/set_systems/E1020/claims/2012_02_02_frankl_rodl_rucinski https://erdosproblems.ai/wiki/problems/set_systems/E1020/claims/2012_02_19_luczak_mieczkowska https://erdosproblems.ai/wiki/problems/set_systems/E1020/claims/2012_05_30_frankl https://erdosproblems.ai/wiki/problems/set_systems/E1020/claims/2012_06_13_frankl_luczak_mieczkowska https://erdosproblems.ai/wiki/problems/set_systems/E1020/claims/2013_07_01_frankl https://erdosproblems.ai/wiki/problems/set_systems/E1020/claims/2017_10_01_frankl https://erdosproblems.ai/wiki/problems/set_systems/E1020/claims/2018_06_22_frankl_kupavskii https://erdosproblems.ai/wiki/problems/set_systems/E1020/claims/2022_06_03_kolupaev_kupavskii https://erdosproblems.ai/wiki/problems/set_systems/E1020/claims/2026_02_01_mishra https://erdosproblems.ai/wiki/problems/set_systems/E1020/claims/2026_02_22_frankl_lu_ma_wu https://erdosproblems.ai/wiki/problems/set_systems/E1020/claims/2026_05_25_hou_hu_liu https://erdosproblems.ai/wiki/problems/set_systems/E1020/claims/2026_08_19_cao_liu_zhang https://erdosproblems.ai/wiki/problems/set_systems/E1020/claims/2026_09_13_babanskyy https://erdosproblems.ai/wiki/problems/set_systems/E1020/claims https://erdosproblems.ai/wiki/problems/set_systems/E1022 https://erdosproblems.ai/wiki/problems/set_systems/E1022/claims/2013_10_10_wood https://erdosproblems.ai/wiki/problems/set_systems/E1022/claims/2025_12_04_koishichan https://erdosproblems.ai/wiki/problems/set_systems/E1022/claims https://erdosproblems.ai/wiki/problems/set_systems/E1023 https://erdosproblems.ai/wiki/problems/set_systems/E1023/claims/2025_09_13_hunter https://erdosproblems.ai/wiki/problems/set_systems/E1023/claims https://erdosproblems.ai/wiki/problems/set_systems/E1024 https://erdosproblems.ai/wiki/problems/set_systems/E1024/claims/1986_01_01_phelps_rodl https://erdosproblems.ai/wiki/problems/set_systems/E1024/claims https://erdosproblems.ai/wiki/problems/set_systems/E1025 https://erdosproblems.ai/wiki/problems/set_systems/E1025/claims/1958_03_01_erdos_hajnal https://erdosproblems.ai/wiki/problems/set_systems/E1025/claims/1972_05_01_spencer https://erdosproblems.ai/wiki/problems/set_systems/E1025/claims/1991_05_01_furedi https://erdosproblems.ai/wiki/problems/set_systems/E1025/claims/2015_07_02_conlon_fox_sudakov https://erdosproblems.ai/wiki/problems/set_systems/E1025/claims https://erdosproblems.ai/wiki/problems/set_systems/E1026 https://erdosproblems.ai/wiki/problems/set_systems/E1026/claims/2016_08_14_tidor_wang_yang https://erdosproblems.ai/wiki/problems/set_systems/E1026/claims/2025_12_07_alexeev https://erdosproblems.ai/wiki/problems/set_systems/E1026/claims https://erdosproblems.ai/wiki/problems/set_systems/E1027 https://erdosproblems.ai/wiki/problems/set_systems/E1027/claims/2025_09_21_koishichan https://erdosproblems.ai/wiki/problems/set_systems/E1027/claims https://erdosproblems.ai/wiki/problems/set_systems/E1075 https://erdosproblems.ai/wiki/problems/set_systems/E1075/claims/2026_09_05_gu https://erdosproblems.ai/wiki/problems/set_systems/E1075/claims https://erdosproblems.ai/wiki/problems/set_systems/E1076 https://erdosproblems.ai/wiki/problems/set_systems/E1076/claims/2018_02_12_glock_kuhn_lo_osthus https://erdosproblems.ai/wiki/problems/set_systems/E1076/claims/2018_08_03_bohman_warnke https://erdosproblems.ai/wiki/problems/set_systems/E1076/claims/2018_09_06_glock https://erdosproblems.ai/wiki/problems/set_systems/E1076/claims/2022_09_28_glock_joos_kim_kuhn_lichev_pikhurko https://erdosproblems.ai/wiki/problems/set_systems/E1076/claims/2024_03_07_glock_kim_lichev_pikhurko_sun https://erdosproblems.ai/wiki/problems/set_systems/E1076/claims/2025_06_02_pikhurko_sun https://erdosproblems.ai/wiki/problems/set_systems/E1076/claims/2026_08_17_alexeev https://erdosproblems.ai/wiki/problems/set_systems/E1076/claims https://erdosproblems.ai/wiki/problems/set_systems/E1159 https://erdosproblems.ai/wiki/problems/set_systems/E1178 https://erdosproblems.ai/wiki/problems/set_systems/E1178/claims/1986_12_01_erdos_frankl_rodl https://erdosproblems.ai/wiki/problems/set_systems/E1178/claims/2004_12_01_sarkozy_selkow https://erdosproblems.ai/wiki/problems/set_systems/E1178/claims https://erdosproblems.ai/wiki/problems/set_systems https://erdosproblems.ai/wiki/problems/set_theory/E0070 https://erdosproblems.ai/wiki/problems/set_theory/E0070/claims/1956_09_01_erdos_rado https://erdosproblems.ai/wiki/problems/set_theory/E0070/claims https://erdosproblems.ai/wiki/problems/set_theory/E0111 https://erdosproblems.ai/wiki/problems/set_theory/E0118 https://erdosproblems.ai/wiki/problems/set_theory/E0118/claims/1999_01_01_schipperus https://erdosproblems.ai/wiki/problems/set_theory/E0118/claims/1999_07_01_darby https://erdosproblems.ai/wiki/problems/set_theory/E0118/claims/2000_09_01_larson https://erdosproblems.ai/wiki/problems/set_theory/E0118/claims https://erdosproblems.ai/wiki/problems/set_theory/E0474 https://erdosproblems.ai/wiki/problems/set_theory/E0474/claims/1965_03_01_erdos_hajnal_rado https://erdosproblems.ai/wiki/problems/set_theory/E0474/claims/1988_10_01_shelah https://erdosproblems.ai/wiki/problems/set_theory/E0474/claims/2026_01_06_shelah https://erdosproblems.ai/wiki/problems/set_theory/E0474/claims https://erdosproblems.ai/wiki/problems/set_theory/E0501 https://erdosproblems.ai/wiki/problems/set_theory/E0501/claims/1972_01_01_hechler https://erdosproblems.ai/wiki/problems/set_theory/E0501/claims/1987_06_01_newelski_pawlikowski_seredynski https://erdosproblems.ai/wiki/problems/set_theory/E0501/claims/2026_05_29_lee https://erdosproblems.ai/wiki/problems/set_theory/E0501/claims/2026_08_16_glazer https://erdosproblems.ai/wiki/problems/set_theory/E0501/claims https://erdosproblems.ai/wiki/problems/set_theory/E0590 https://erdosproblems.ai/wiki/problems/set_theory/E0590/claims/1972_05_01_chang https://erdosproblems.ai/wiki/problems/set_theory/E0590/claims/1973_12_01_larson https://erdosproblems.ai/wiki/problems/set_theory/E0590/claims https://erdosproblems.ai/wiki/problems/set_theory/E0591 https://erdosproblems.ai/wiki/problems/set_theory/E0591/claims/2010_05_13_schipperus https://erdosproblems.ai/wiki/problems/set_theory/E0591/claims https://erdosproblems.ai/wiki/problems/set_theory/E0592 https://erdosproblems.ai/wiki/problems/set_theory/E0592/claims/1956_12_01_specker https://erdosproblems.ai/wiki/problems/set_theory/E0592/claims/1972_05_01_chang https://erdosproblems.ai/wiki/problems/set_theory/E0592/claims/1975_01_01_galvin_larson https://erdosproblems.ai/wiki/problems/set_theory/E0592/claims/2010_05_13_schipperus https://erdosproblems.ai/wiki/problems/set_theory/E0592/claims https://erdosproblems.ai/wiki/problems/set_theory/E0593 https://erdosproblems.ai/wiki/problems/set_theory/E0593/claims/2026_06_23_li https://erdosproblems.ai/wiki/problems/set_theory/E0593/claims/2026_07_15_petkov https://erdosproblems.ai/wiki/problems/set_theory/E0593/claims https://erdosproblems.ai/wiki/problems/set_theory/E0594 https://erdosproblems.ai/wiki/problems/set_theory/E0594/claims/1966_03_01_erdos_hajnal https://erdosproblems.ai/wiki/problems/set_theory/E0594/claims/1974_01_01_erdos_hajnal_shelah https://erdosproblems.ai/wiki/problems/set_theory/E0594/claims https://erdosproblems.ai/wiki/problems/set_theory/E0595 https://erdosproblems.ai/wiki/problems/set_theory/E0595/claims/1989_01_01_shelah https://erdosproblems.ai/wiki/problems/set_theory/E0595/claims https://erdosproblems.ai/wiki/problems/set_theory/E0596 https://erdosproblems.ai/wiki/problems/set_theory/E0596/claims/1987_09_01_nesetril_rodl https://erdosproblems.ai/wiki/problems/set_theory/E0596/claims https://erdosproblems.ai/wiki/problems/set_theory/E0597 https://erdosproblems.ai/wiki/problems/set_theory/E0597/claims/1971_09_01_erdos_hajnal https://erdosproblems.ai/wiki/problems/set_theory/E0597/claims/1989_01_01_baumgartner https://erdosproblems.ai/wiki/problems/set_theory/E0597/claims/2026_07_27_white https://erdosproblems.ai/wiki/problems/set_theory/E0597/claims/2026_09_09_li https://erdosproblems.ai/wiki/problems/set_theory/E0597/claims https://erdosproblems.ai/wiki/problems/set_theory/E0598 https://erdosproblems.ai/wiki/problems/set_theory/E0598/claims/2026_04_22_chojecki https://erdosproblems.ai/wiki/problems/set_theory/E0598/claims/2026_05_24_wu https://erdosproblems.ai/wiki/problems/set_theory/E0598/claims/2026_07_28_white https://erdosproblems.ai/wiki/problems/set_theory/E0598/claims https://erdosproblems.ai/wiki/problems/set_theory/E0599 https://erdosproblems.ai/wiki/problems/set_theory/E0599/claims/2005_09_18_aharoni_berger https://erdosproblems.ai/wiki/problems/set_theory/E0599/claims https://erdosproblems.ai/wiki/problems/set_theory/E0601 https://erdosproblems.ai/wiki/problems/set_theory/E0601/claims/1970_01_01_erdos_hajnal_milner https://erdosproblems.ai/wiki/problems/set_theory/E0601/claims/1986_04_01_larson https://erdosproblems.ai/wiki/problems/set_theory/E0601/claims/1987_09_01_larson https://erdosproblems.ai/wiki/problems/set_theory/E0601/claims/1990_04_01_baumgartner_larson https://erdosproblems.ai/wiki/problems/set_theory/E0601/claims/1990_04_01_larson https://erdosproblems.ai/wiki/problems/set_theory/E0601/claims https://erdosproblems.ai/wiki/problems/set_theory/E0602 https://erdosproblems.ai/wiki/problems/set_theory/E0603 https://erdosproblems.ai/wiki/problems/set_theory/E0603/claims/2026_04_21_chojecki https://erdosproblems.ai/wiki/problems/set_theory/E0603/claims https://erdosproblems.ai/wiki/problems/set_theory/E0623 https://erdosproblems.ai/wiki/problems/set_theory/E0623/claims/2026_06_04_lee https://erdosproblems.ai/wiki/problems/set_theory/E0623/claims/2026_08_21_crawford https://erdosproblems.ai/wiki/problems/set_theory/E0623/claims https://erdosproblems.ai/wiki/problems/set_theory/E1067 https://erdosproblems.ai/wiki/problems/set_theory/E1067/claims/2013_01_03_komjath https://erdosproblems.ai/wiki/problems/set_theory/E1067/claims/2014_09_09_soukup https://erdosproblems.ai/wiki/problems/set_theory/E1067/claims/2024_02_08_bowler_pitz https://erdosproblems.ai/wiki/problems/set_theory/E1067/claims https://erdosproblems.ai/wiki/problems/set_theory/E1068 https://erdosproblems.ai/wiki/problems/set_theory/E1119 https://erdosproblems.ai/wiki/problems/set_theory/E1119/claims/1964_03_01_erdos https://erdosproblems.ai/wiki/problems/set_theory/E1119/claims/2017_01_05_kumar_shelah https://erdosproblems.ai/wiki/problems/set_theory/E1119/claims/2023_10_30_schilhan_weinert https://erdosproblems.ai/wiki/problems/set_theory/E1119/claims https://erdosproblems.ai/wiki/problems/set_theory/E1123 https://erdosproblems.ai/wiki/problems/set_theory/E1123/claims/1984_09_01_just_krawczyk https://erdosproblems.ai/wiki/problems/set_theory/E1123/claims/2000_01_01_farah https://erdosproblems.ai/wiki/problems/set_theory/E1123/claims https://erdosproblems.ai/wiki/problems/set_theory/E1127 https://erdosproblems.ai/wiki/problems/set_theory/E1127/claims/1943_06_01_erdos_kakutani https://erdosproblems.ai/wiki/problems/set_theory/E1127/claims/1972_09_01_davies https://erdosproblems.ai/wiki/problems/set_theory/E1127/claims/1987_11_01_kunen https://erdosproblems.ai/wiki/problems/set_theory/E1127/claims https://erdosproblems.ai/wiki/problems/set_theory/E1128 https://erdosproblems.ai/wiki/problems/set_theory/E1128/claims/1978_01_01_prikry_mills https://erdosproblems.ai/wiki/problems/set_theory/E1128/claims https://erdosproblems.ai/wiki/problems/set_theory/E1167 https://erdosproblems.ai/wiki/problems/set_theory/E1167/claims/1984_01_01_erdos_hajnal_mate_rado https://erdosproblems.ai/wiki/problems/set_theory/E1167/claims/2026_01_31_zeraoulia https://erdosproblems.ai/wiki/problems/set_theory/E1167/claims https://erdosproblems.ai/wiki/problems/set_theory/E1168 https://erdosproblems.ai/wiki/problems/set_theory/E1169 https://erdosproblems.ai/wiki/problems/set_theory/E1169/claims/1971_01_01_hajnal https://erdosproblems.ai/wiki/problems/set_theory/E1169/claims/1975_12_01_baumgartner https://erdosproblems.ai/wiki/problems/set_theory/E1169/claims/1987_03_01_takahashi https://erdosproblems.ai/wiki/problems/set_theory/E1169/claims/1998_01_01_larson https://erdosproblems.ai/wiki/problems/set_theory/E1169/claims/2026_08_13_golshani https://erdosproblems.ai/wiki/problems/set_theory/E1169/claims https://erdosproblems.ai/wiki/problems/set_theory/E1170 https://erdosproblems.ai/wiki/problems/set_theory/E1171 https://erdosproblems.ai/wiki/problems/set_theory/E1171/claims/1987_01_01_baumgartner_hajnal https://erdosproblems.ai/wiki/problems/set_theory/E1171/claims/1989_01_01_baumgartner https://erdosproblems.ai/wiki/problems/set_theory/E1171/claims/2026_09_05_gao https://erdosproblems.ai/wiki/problems/set_theory/E1171/claims https://erdosproblems.ai/wiki/problems/set_theory/E1172 https://erdosproblems.ai/wiki/problems/set_theory/E1172/claims/1956_09_01_erdos_rado https://erdosproblems.ai/wiki/problems/set_theory/E1172/claims https://erdosproblems.ai/wiki/problems/set_theory/E1173 https://erdosproblems.ai/wiki/problems/set_theory/E1174 https://erdosproblems.ai/wiki/problems/set_theory/E1174/claims/1989_01_01_shelah https://erdosproblems.ai/wiki/problems/set_theory/E1174/claims/1993_03_01_komjath_shelah https://erdosproblems.ai/wiki/problems/set_theory/E1174/claims https://erdosproblems.ai/wiki/problems/set_theory/E1175 https://erdosproblems.ai/wiki/problems/set_theory/E1176 https://erdosproblems.ai/wiki/problems/set_theory/E1176/claims/2003_01_01_hajnal_komjath https://erdosproblems.ai/wiki/problems/set_theory/E1176/claims https://erdosproblems.ai/wiki/problems/set_theory/E1177 https://erdosproblems.ai/wiki/problems/set_theory/E1177/claims/2026_06_23_li https://erdosproblems.ai/wiki/problems/set_theory/E1177/claims https://erdosproblems.ai/wiki/problems/set_theory/E1218 https://erdosproblems.ai/wiki/problems/set_theory/E1218/claims/2026_09_02_li https://erdosproblems.ai/wiki/problems/set_theory/E1218/claims https://erdosproblems.ai/wiki/problems/set_theory/E1219 https://erdosproblems.ai/wiki/problems/set_theory/E1219/claims/1975_01_01_shelah https://erdosproblems.ai/wiki/problems/set_theory/E1219/claims https://erdosproblems.ai/wiki/problems/set_theory/E1220 https://erdosproblems.ai/wiki/problems/set_theory/E1220/claims/1965_03_01_erdos_hajnal_rado https://erdosproblems.ai/wiki/problems/set_theory/E1220/claims/1987_01_01_shelah_stanley https://erdosproblems.ai/wiki/problems/set_theory/E1220/claims/2026_09_25_bae https://erdosproblems.ai/wiki/problems/set_theory/E1220/claims https://erdosproblems.ai/wiki/problems/set_theory https://erdosproblems.ai/wiki/problems/unit_fractions/E0045 https://erdosproblems.ai/wiki/problems/unit_fractions/E0045/claims/2003_03_01_croot https://erdosproblems.ai/wiki/problems/unit_fractions/E0045/claims https://erdosproblems.ai/wiki/problems/unit_fractions/E0046 https://erdosproblems.ai/wiki/problems/unit_fractions/E0046/claims/2003_03_01_croot https://erdosproblems.ai/wiki/problems/unit_fractions/E0046/claims/2021_12_07_bloom https://erdosproblems.ai/wiki/problems/unit_fractions/E0046/claims https://erdosproblems.ai/wiki/problems/unit_fractions/E0047 https://erdosproblems.ai/wiki/problems/unit_fractions/E0047/claims/2021_12_07_bloom https://erdosproblems.ai/wiki/problems/unit_fractions/E0047/claims/2024_04_10_liu_sawhney https://erdosproblems.ai/wiki/problems/unit_fractions/E0047/claims https://erdosproblems.ai/wiki/problems/unit_fractions/E0148 https://erdosproblems.ai/wiki/problems/unit_fractions/E0148/claims/2014_01_01_konyagin https://erdosproblems.ai/wiki/problems/unit_fractions/E0148/claims/2020_12_10_elsholtz_planitzer https://erdosproblems.ai/wiki/problems/unit_fractions/E0148/claims/2026_09_25_openai https://erdosproblems.ai/wiki/problems/unit_fractions/E0148/claims https://erdosproblems.ai/wiki/problems/unit_fractions/E0206 https://erdosproblems.ai/wiki/problems/unit_fractions/E0206/claims/2024_06_11_kovac https://erdosproblems.ai/wiki/problems/unit_fractions/E0206/claims https://erdosproblems.ai/wiki/problems/unit_fractions/E0242 https://erdosproblems.ai/wiki/problems/unit_fractions/E0242/claims/1950_01_01_oblath https://erdosproblems.ai/wiki/problems/unit_fractions/E0242/claims/1970_09_23_terzi https://erdosproblems.ai/wiki/problems/unit_fractions/E0242/claims/2023_02_06_alomari https://erdosproblems.ai/wiki/problems/unit_fractions/E0242/claims/2025_08_29_mihnea_dumitru https://erdosproblems.ai/wiki/problems/unit_fractions/E0242/claims/2025_11_07_dyachenko https://erdosproblems.ai/wiki/problems/unit_fractions/E0242/claims/2026_02_12_bradford https://erdosproblems.ai/wiki/problems/unit_fractions/E0242/claims https://erdosproblems.ai/wiki/problems/unit_fractions/E0282 https://erdosproblems.ai/wiki/problems/unit_fractions/E0283 https://erdosproblems.ai/wiki/problems/unit_fractions/E0283/claims/1963_03_17_graham https://erdosproblems.ai/wiki/problems/unit_fractions/E0283/claims/2018_01_18_alekseyev https://erdosproblems.ai/wiki/problems/unit_fractions/E0283/claims/2025_08_31_van_doorn https://erdosproblems.ai/wiki/problems/unit_fractions/E0283/claims/2026_05_03_price https://erdosproblems.ai/wiki/problems/unit_fractions/E0283/claims https://erdosproblems.ai/wiki/problems/unit_fractions/E0284 https://erdosproblems.ai/wiki/problems/unit_fractions/E0284/claims/1999_04_30_croot https://erdosproblems.ai/wiki/problems/unit_fractions/E0284/claims https://erdosproblems.ai/wiki/problems/unit_fractions/E0285 https://erdosproblems.ai/wiki/problems/unit_fractions/E0285/claims/1998_11_18_martin https://erdosproblems.ai/wiki/problems/unit_fractions/E0285/claims https://erdosproblems.ai/wiki/problems/unit_fractions/E0286 https://erdosproblems.ai/wiki/problems/unit_fractions/E0286/claims/1998_11_18_martin https://erdosproblems.ai/wiki/problems/unit_fractions/E0286/claims/1999_04_30_croot https://erdosproblems.ai/wiki/problems/unit_fractions/E0286/claims https://erdosproblems.ai/wiki/problems/unit_fractions/E0287 https://erdosproblems.ai/wiki/problems/unit_fractions/E0287/claims/2026_08_26_pr_huang https://erdosproblems.ai/wiki/problems/unit_fractions/E0287/claims/2026_09_02_ramji https://erdosproblems.ai/wiki/problems/unit_fractions/E0287/claims https://erdosproblems.ai/wiki/problems/unit_fractions/E0288 https://erdosproblems.ai/wiki/problems/unit_fractions/E0288/claims/2026_05_03_nayak https://erdosproblems.ai/wiki/problems/unit_fractions/E0288/claims https://erdosproblems.ai/wiki/problems/unit_fractions/E0289 https://erdosproblems.ai/wiki/problems/unit_fractions/E0289/claims/2026_09_04_land https://erdosproblems.ai/wiki/problems/unit_fractions/E0289/claims/2026_09_07_tang https://erdosproblems.ai/wiki/problems/unit_fractions/E0289/claims/2026_09_26_budden https://erdosproblems.ai/wiki/problems/unit_fractions/E0289/claims/2026_10_01_leap https://erdosproblems.ai/wiki/problems/unit_fractions/E0289/claims https://erdosproblems.ai/wiki/problems/unit_fractions/E0290 https://erdosproblems.ai/wiki/problems/unit_fractions/E0290/claims/2024_11_05_van_doorn https://erdosproblems.ai/wiki/problems/unit_fractions/E0290/claims/2026_08_31_van_doorn https://erdosproblems.ai/wiki/problems/unit_fractions/E0290/claims/2026_09_24_van_doorn https://erdosproblems.ai/wiki/problems/unit_fractions/E0290/claims https://erdosproblems.ai/wiki/problems/unit_fractions/E0291 https://erdosproblems.ai/wiki/problems/unit_fractions/E0291/claims/2016_07_11_shiu https://erdosproblems.ai/wiki/problems/unit_fractions/E0291/claims/2022_01_26_wu_yan https://erdosproblems.ai/wiki/problems/unit_fractions/E0291/claims/2024_11_07_steinerberger https://erdosproblems.ai/wiki/problems/unit_fractions/E0291/claims/2026_02_05_van_doorn https://erdosproblems.ai/wiki/problems/unit_fractions/E0291/claims https://erdosproblems.ai/wiki/problems/unit_fractions/E0292 https://erdosproblems.ai/wiki/problems/unit_fractions/E0292/claims/1998_11_18_martin https://erdosproblems.ai/wiki/problems/unit_fractions/E0292/claims https://erdosproblems.ai/wiki/problems/unit_fractions/E0293 https://erdosproblems.ai/wiki/problems/unit_fractions/E0293/claims/2025_12_26_van_doorn_tang https://erdosproblems.ai/wiki/problems/unit_fractions/E0293/claims/2026_09_16_van_doorn https://erdosproblems.ai/wiki/problems/unit_fractions/E0293/claims/2026_09_25_openai https://erdosproblems.ai/wiki/problems/unit_fractions/E0293/claims https://erdosproblems.ai/wiki/problems/unit_fractions/E0294 https://erdosproblems.ai/wiki/problems/unit_fractions/E0294/claims/2024_04_10_liu_sawhney https://erdosproblems.ai/wiki/problems/unit_fractions/E0294/claims https://erdosproblems.ai/wiki/problems/unit_fractions/E0295 https://erdosproblems.ai/wiki/problems/unit_fractions/E0296 https://erdosproblems.ai/wiki/problems/unit_fractions/E0296/claims/2024_06_16_hunter_sawhney https://erdosproblems.ai/wiki/problems/unit_fractions/E0296/claims https://erdosproblems.ai/wiki/problems/unit_fractions/E0297 https://erdosproblems.ai/wiki/problems/unit_fractions/E0297/claims/2024_03_25_steinerberger https://erdosproblems.ai/wiki/problems/unit_fractions/E0297/claims/2024_04_10_liu_sawhney https://erdosproblems.ai/wiki/problems/unit_fractions/E0297/claims/2024_04_24_conlon_fox_he_mubayi_pham_suk_verstraete https://erdosproblems.ai/wiki/problems/unit_fractions/E0297/claims https://erdosproblems.ai/wiki/problems/unit_fractions/E0298 https://erdosproblems.ai/wiki/problems/unit_fractions/E0298/claims/2021_12_07_bloom https://erdosproblems.ai/wiki/problems/unit_fractions/E0298/claims https://erdosproblems.ai/wiki/problems/unit_fractions/E0299 https://erdosproblems.ai/wiki/problems/unit_fractions/E0299/claims/2021_12_07_bloom https://erdosproblems.ai/wiki/problems/unit_fractions/E0299/claims https://erdosproblems.ai/wiki/problems/unit_fractions/E0300 https://erdosproblems.ai/wiki/problems/unit_fractions/E0300/claims/2003_03_01_croot https://erdosproblems.ai/wiki/problems/unit_fractions/E0300/claims/2024_04_10_liu_sawhney https://erdosproblems.ai/wiki/problems/unit_fractions/E0300/claims https://erdosproblems.ai/wiki/problems/unit_fractions/E0301 https://erdosproblems.ai/wiki/problems/unit_fractions/E0301/claims/2025_09_16_van_doorn https://erdosproblems.ai/wiki/problems/unit_fractions/E0301/claims/2026_05_27_wang https://erdosproblems.ai/wiki/problems/unit_fractions/E0301/claims/2026_07_30_della_pietra https://erdosproblems.ai/wiki/problems/unit_fractions/E0301/claims/2026_07_30_della_pietra_upper https://erdosproblems.ai/wiki/problems/unit_fractions/E0301/claims https://erdosproblems.ai/wiki/problems/unit_fractions/E0302 https://erdosproblems.ai/wiki/problems/unit_fractions/E0302/claims/2025_03_25_cambie https://erdosproblems.ai/wiki/problems/unit_fractions/E0302/claims/2025_08_11_van_doorn https://erdosproblems.ai/wiki/problems/unit_fractions/E0302/claims/2026_07_20_schuh https://erdosproblems.ai/wiki/problems/unit_fractions/E0302/claims/2026_08_16_khanukov https://erdosproblems.ai/wiki/problems/unit_fractions/E0302/claims/2026_09_25_kitamura https://erdosproblems.ai/wiki/problems/unit_fractions/E0302/claims https://erdosproblems.ai/wiki/problems/unit_fractions/E0303 https://erdosproblems.ai/wiki/problems/unit_fractions/E0303/claims/1991_06_01_brown_rodl https://erdosproblems.ai/wiki/problems/unit_fractions/E0303/claims/2025_12_21_yuan https://erdosproblems.ai/wiki/problems/unit_fractions/E0303/claims https://erdosproblems.ai/wiki/problems/unit_fractions/E0304 https://erdosproblems.ai/wiki/problems/unit_fractions/E0304/claims/1950_01_01_erdos https://erdosproblems.ai/wiki/problems/unit_fractions/E0304/claims/1985_01_01_vose https://erdosproblems.ai/wiki/problems/unit_fractions/E0304/claims/2026_09_01_thepriceisright https://erdosproblems.ai/wiki/problems/unit_fractions/E0304/claims/2026_09_16_van_doorn https://erdosproblems.ai/wiki/problems/unit_fractions/E0304/claims/2026_09_25_openai https://erdosproblems.ai/wiki/problems/unit_fractions/E0304/claims https://erdosproblems.ai/wiki/problems/unit_fractions/E0305 https://erdosproblems.ai/wiki/problems/unit_fractions/E0305/claims/1976_05_01_bleicher_erdos https://erdosproblems.ai/wiki/problems/unit_fractions/E0305/claims/1976_12_01_bleicher_erdos https://erdosproblems.ai/wiki/problems/unit_fractions/E0305/claims/1988_10_01_yokota https://erdosproblems.ai/wiki/problems/unit_fractions/E0305/claims/2024_04_10_liu_sawhney https://erdosproblems.ai/wiki/problems/unit_fractions/E0305/claims https://erdosproblems.ai/wiki/problems/unit_fractions/E0306 https://erdosproblems.ai/wiki/problems/unit_fractions/E0306/claims/1977_08_01_barbeau https://erdosproblems.ai/wiki/problems/unit_fractions/E0306/claims/1978_08_01_johnson https://erdosproblems.ai/wiki/problems/unit_fractions/E0306/claims/2020_09_01_watanabe https://erdosproblems.ai/wiki/problems/unit_fractions/E0306/claims/2026_06_13_li https://erdosproblems.ai/wiki/problems/unit_fractions/E0306/claims/2026_06_19_tang https://erdosproblems.ai/wiki/problems/unit_fractions/E0306/claims/2026_09_26_li https://erdosproblems.ai/wiki/problems/unit_fractions/E0306/claims https://erdosproblems.ai/wiki/problems/unit_fractions/E0307 https://erdosproblems.ai/wiki/problems/unit_fractions/E0307/claims/2012_03_25_kovic https://erdosproblems.ai/wiki/problems/unit_fractions/E0307/claims/2026_06_13_bonfioli https://erdosproblems.ai/wiki/problems/unit_fractions/E0307/claims https://erdosproblems.ai/wiki/problems/unit_fractions/E0308 https://erdosproblems.ai/wiki/problems/unit_fractions/E0308/claims/1999_12_01_croot https://erdosproblems.ai/wiki/problems/unit_fractions/E0308/claims https://erdosproblems.ai/wiki/problems/unit_fractions/E0309 https://erdosproblems.ai/wiki/problems/unit_fractions/E0309/claims/1990_06_01_yokota https://erdosproblems.ai/wiki/problems/unit_fractions/E0309/claims/1997_12_01_yokota https://erdosproblems.ai/wiki/problems/unit_fractions/E0309/claims/1999_12_01_croot https://erdosproblems.ai/wiki/problems/unit_fractions/E0309/claims/2002_10_01_yokota https://erdosproblems.ai/wiki/problems/unit_fractions/E0309/claims https://erdosproblems.ai/wiki/problems/unit_fractions/E0310 https://erdosproblems.ai/wiki/problems/unit_fractions/E0310/claims/2024_04_10_liu_sawhney https://erdosproblems.ai/wiki/problems/unit_fractions/E0310/claims/2026_08_17_alexeev https://erdosproblems.ai/wiki/problems/unit_fractions/E0310/claims https://erdosproblems.ai/wiki/problems/unit_fractions/E0311 https://erdosproblems.ai/wiki/problems/unit_fractions/E0312 https://erdosproblems.ai/wiki/problems/unit_fractions/E0313 https://erdosproblems.ai/wiki/problems/unit_fractions/E0313/claims/2026_05_18_wang https://erdosproblems.ai/wiki/problems/unit_fractions/E0313/claims https://erdosproblems.ai/wiki/problems/unit_fractions/E0314 https://erdosproblems.ai/wiki/problems/unit_fractions/E0314/claims/2024_05_18_lim_steinerberger https://erdosproblems.ai/wiki/problems/unit_fractions/E0314/claims https://erdosproblems.ai/wiki/problems/unit_fractions/E0315 https://erdosproblems.ai/wiki/problems/unit_fractions/E0315/claims/2025_03_04_kamio https://erdosproblems.ai/wiki/problems/unit_fractions/E0315/claims/2025_03_15_li_tang https://erdosproblems.ai/wiki/problems/unit_fractions/E0315/claims/2026_07_30_kovac_tang https://erdosproblems.ai/wiki/problems/unit_fractions/E0315/claims https://erdosproblems.ai/wiki/problems/unit_fractions/E0316 https://erdosproblems.ai/wiki/problems/unit_fractions/E0316/claims/1997_04_01_sandor https://erdosproblems.ai/wiki/problems/unit_fractions/E0316/claims https://erdosproblems.ai/wiki/problems/unit_fractions/E0317 https://erdosproblems.ai/wiki/problems/unit_fractions/E0318 https://erdosproblems.ai/wiki/problems/unit_fractions/E0318/claims/1975_01_01_erdos_straus https://erdosproblems.ai/wiki/problems/unit_fractions/E0318/claims/1975_01_01_sattler https://erdosproblems.ai/wiki/problems/unit_fractions/E0318/claims/1982_01_01_erdos https://erdosproblems.ai/wiki/problems/unit_fractions/E0318/claims/1982_01_01_sattler https://erdosproblems.ai/wiki/problems/unit_fractions/E0318/claims/2026_02_01_larsen https://erdosproblems.ai/wiki/problems/unit_fractions/E0318/claims/2026_08_16_alexeev https://erdosproblems.ai/wiki/problems/unit_fractions/E0318/claims https://erdosproblems.ai/wiki/problems/unit_fractions/E0319 https://erdosproblems.ai/wiki/problems/unit_fractions/E0319/claims/2025_09_15_adenwalla https://erdosproblems.ai/wiki/problems/unit_fractions/E0319/claims/2026_07_16_popular_12345 https://erdosproblems.ai/wiki/problems/unit_fractions/E0319/claims https://erdosproblems.ai/wiki/problems/unit_fractions/E0320 https://erdosproblems.ai/wiki/problems/unit_fractions/E0320/claims/1975_01_01_bleicher_erdos https://erdosproblems.ai/wiki/problems/unit_fractions/E0320/claims/1976_12_01_bleicher_erdos https://erdosproblems.ai/wiki/problems/unit_fractions/E0320/claims/2025_09_12_bettin_grenie_molteni_sanna https://erdosproblems.ai/wiki/problems/unit_fractions/E0320/claims/2026_07_15_young_zhu_luo https://erdosproblems.ai/wiki/problems/unit_fractions/E0320/claims/2026_07_22_kominers_neu https://erdosproblems.ai/wiki/problems/unit_fractions/E0320/claims https://erdosproblems.ai/wiki/problems/unit_fractions/E0321 https://erdosproblems.ai/wiki/problems/unit_fractions/E0321/claims/1975_01_01_bleicher_erdos https://erdosproblems.ai/wiki/problems/unit_fractions/E0321/claims/1976_12_01_bleicher_erdos https://erdosproblems.ai/wiki/problems/unit_fractions/E0321/claims/2025_09_12_bettin_grenie_molteni_sanna https://erdosproblems.ai/wiki/problems/unit_fractions/E0321/claims/2026_07_15_young_zhu_luo https://erdosproblems.ai/wiki/problems/unit_fractions/E0321/claims https://erdosproblems.ai/wiki/problems/unit_fractions/E0327 https://erdosproblems.ai/wiki/problems/unit_fractions/E0327/claims/2026_07_16_sawin https://erdosproblems.ai/wiki/problems/unit_fractions/E0327/claims/2026_07_29_della_pietra https://erdosproblems.ai/wiki/problems/unit_fractions/E0327/claims https://erdosproblems.ai/wiki/problems/unit_fractions/E0355 https://erdosproblems.ai/wiki/problems/unit_fractions/E0355/claims/2025_09_29_van_doorn_kovac https://erdosproblems.ai/wiki/problems/unit_fractions/E0355/claims https://erdosproblems.ai/wiki/problems/unit_fractions https://erdosproblems.ai/wiki/research https://erdosproblems.ai/wiki/research/erdos_1150 https://erdosproblems.ai/wiki/research/erdos_1150/idempotent_concentration_audit https://erdosproblems.ai/wiki/research/erdos_1150/source_notes https://erdosproblems.ai/wiki/research/erdos_1150/source_notes/abdalaoui_2025_l_alpha_flatness_erdos_littlewood_s https://erdosproblems.ai/wiki/research/erdos_1150/source_notes/abdalaoui_nadkarni_2016_class_littlewood_polynomials_that_are_not_l_flat https://erdosproblems.ai/wiki/research/erdos_1150/source_notes/balister_2020_bollob_as_b_ela_morris_robert https://erdosproblems.ai/wiki/research/erdos_1150/source_notes/bombieri_2009_kahane_ultraflat_polynomials https://erdosproblems.ai/wiki/research/erdos_1150/source_notes/bonami_revesz_2007_integral_concentration_idempotent_trigonometric_polynomials_gaps https://erdosproblems.ai/wiki/research/erdos_1150/source_notes/borichev_et_al_2017_spectra_stationary_processes_z https://erdosproblems.ai/wiki/research/erdos_1150/source_notes/borwein_erdelyi_2003_lower_bounds_merit_factors_trigonometric_polynomials_littlewood_classes https://erdosproblems.ai/wiki/research/erdos_1150/source_notes/borwein_mossinghoff_2008_barker_sequences_flat_polynomials https://erdosproblems.ai/wiki/research/erdos_1150/source_notes/downarowicz_lacroix_1998_merit_factors_morse_sequences https://erdosproblems.ai/wiki/research/erdos_1150/source_notes/erdelyi_2018_asymptotic_distance_between_ultraflat_unimodular_polynomial_its_conjugate_reciprocal https://erdosproblems.ai/wiki/research/erdos_1150/source_notes/erdelyi_2020_do_flat_skew_reciprocal_littlewood_polynomials_exist https://erdosproblems.ai/wiki/research/erdos_1150/source_notes/erdelyi_2025_sequence_partial_sums_unimodular_power_series_is_not_ultraflat https://erdosproblems.ai/wiki/research/erdos_1150/source_notes/erdelyi_2026_erdos_problem_about_maximum_modulus_littlewood_polynomials_unit_circl https://erdosproblems.ai/wiki/research/erdos_1150/source_notes/erdos_1962_inequality_maximum_trigonometric_polynomials https://erdosproblems.ai/wiki/research/erdos_1150/source_notes/erdos_1976_extremal_problems_polynomials https://erdosproblems.ai/wiki/research/erdos_1150/source_notes/gunther_schmidt_2015_merit_factors_polynomials_derived_from_difference_sets https://erdosproblems.ai/wiki/research/erdos_1150/source_notes/gunther_schmidt_2016_l_q_norms_fekete_related_polynomials https://erdosproblems.ai/wiki/research/erdos_1150/source_notes/jedwab_et_al_2012_littlewood_polynomials_small_l_4_norm https://erdosproblems.ai/wiki/research/erdos_1150/source_notes/katz_moore_2017_sequence_pairs_lowest_combined_autocorrelation_crosscorrelation https://erdosproblems.ai/wiki/research/erdos_1150/source_notes/odlyzko_2018_search_ultraflat_polynomials_plus_minus_one_coefficients https://erdosproblems.ai/wiki/research/erdos_1150/source_proof_audit https://erdosproblems.ai/wiki/research/erdos_1171 https://erdosproblems.ai/wiki/research/erdos_1171/evidence https://erdosproblems.ai/wiki/research/erdos_1171/evidence/verify https://erdosproblems.ai/wiki/research/erdos_1171/evidence/verify/grade https://erdosproblems.ai/wiki/research/erdos_1171/evidence/verify/lemma_2_1_reconstruction_review https://erdosproblems.ai/wiki/research/erdos_1171/evidence/verify/theorem_3_1_reconstruction_review https://erdosproblems.ai/wiki/research/erdos_1171/lemma_2_1_reconstruction https://erdosproblems.ai/wiki/research/erdos_1171/theorem_3_1_reconstruction https://erdosproblems.ai/wiki/research/erdos_1219 https://erdosproblems.ai/wiki/research/erdos_1219/corollary_1_3_reconstruction https://erdosproblems.ai/wiki/research/erdos_1219/evidence https://erdosproblems.ai/wiki/research/erdos_1219/evidence/verify https://erdosproblems.ai/wiki/research/erdos_1219/evidence/verify/corollary_1_3_reconstruction_review https://erdosproblems.ai/wiki/research/erdos_1219/evidence/verify/grade https://erdosproblems.ai/wiki/research/erdos_1219/evidence/verify/lemma_1_1_reconstruction_review https://erdosproblems.ai/wiki/research/erdos_1219/evidence/verify/theorem_1_2_reconstruction_review https://erdosproblems.ai/wiki/research/erdos_1219/lemma_1_1_reconstruction https://erdosproblems.ai/wiki/research/erdos_1219/theorem_1_2_reconstruction https://erdosproblems.ai/wiki/research/erdos_1221 https://erdosproblems.ai/wiki/research/erdos_1221/clst25_theorem_2_reconstruction https://erdosproblems.ai/wiki/research/erdos_1221/dber49_inequality_3_3_reconstruction https://erdosproblems.ai/wiki/research/erdos_1221/dber49_inequality_4_3_reconstruction https://erdosproblems.ai/wiki/research/erdos_1221/dber49_inequality_5_7_reconstruction https://erdosproblems.ai/wiki/research/erdos_1221/evidence https://erdosproblems.ai/wiki/research/erdos_1221/evidence/verify https://erdosproblems.ai/wiki/research/erdos_1221/evidence/verify/clst25_theorem_2_reconstruction_review https://erdosproblems.ai/wiki/research/erdos_1221/evidence/verify/dber49_inequality_3_3_reconstruction_review https://erdosproblems.ai/wiki/research/erdos_1221/evidence/verify/dber49_inequality_4_3_reconstruction_review https://erdosproblems.ai/wiki/research/erdos_1221/evidence/verify/dber49_inequality_5_7_reconstruction_review https://erdosproblems.ai/wiki/research/erdos_1221/evidence/verify/grade https://erdosproblems.ai/wiki/research/erdos_1221/evidence/verify/grade_2 https://erdosproblems.ai/wiki/research/erdos_1221/evidence/verify/ko26a_lemma_3_1_reconstruction_review https://erdosproblems.ai/wiki/research/erdos_1221/evidence/verify/ko26a_proposition_4_1_reconstruction_review https://erdosproblems.ai/wiki/research/erdos_1221/evidence/verify/ko26a_theorem_1_1_reconstruction_review https://erdosproblems.ai/wiki/research/erdos_1221/evidence/verify/ko26b_lemma_2_1_reconstruction_review https://erdosproblems.ai/wiki/research/erdos_1221/evidence/verify/ko26b_lemma_4_2_reconstruction_review https://erdosproblems.ai/wiki/research/erdos_1221/evidence/verify/ko26b_lemma_4_2_reconstruction_review_2 https://erdosproblems.ai/wiki/research/erdos_1221/evidence/verify/ko26b_lemma_6_1_reconstruction_review https://erdosproblems.ai/wiki/research/erdos_1221/evidence/verify/ko26b_lemma_6_2_reconstruction_review https://erdosproblems.ai/wiki/research/erdos_1221/evidence/verify/ko26b_lemma_6_3_reconstruction_review https://erdosproblems.ai/wiki/research/erdos_1221/evidence/verify/ko26b_lemma_7_2_reconstruction_review https://erdosproblems.ai/wiki/research/erdos_1221/evidence/verify/ko26b_proposition_3_1_reconstruction_review https://erdosproblems.ai/wiki/research/erdos_1221/evidence/verify/ko26b_proposition_6_4_reconstruction_review https://erdosproblems.ai/wiki/research/erdos_1221/evidence/verify/ko26b_theorem_1_1_reconstruction_review https://erdosproblems.ai/wiki/research/erdos_1221/ko26a_lemma_3_1_reconstruction https://erdosproblems.ai/wiki/research/erdos_1221/ko26a_proposition_4_1_reconstruction https://erdosproblems.ai/wiki/research/erdos_1221/ko26a_theorem_1_1_reconstruction https://erdosproblems.ai/wiki/research/erdos_1221/ko26b_lemma_2_1_reconstruction https://erdosproblems.ai/wiki/research/erdos_1221/ko26b_lemma_4_2_reconstruction https://erdosproblems.ai/wiki/research/erdos_1221/ko26b_lemma_6_1_reconstruction https://erdosproblems.ai/wiki/research/erdos_1221/ko26b_lemma_6_2_reconstruction https://erdosproblems.ai/wiki/research/erdos_1221/ko26b_lemma_6_3_reconstruction https://erdosproblems.ai/wiki/research/erdos_1221/ko26b_lemma_7_2_reconstruction https://erdosproblems.ai/wiki/research/erdos_1221/ko26b_proposition_3_1_reconstruction https://erdosproblems.ai/wiki/research/erdos_1221/ko26b_proposition_6_4_reconstruction https://erdosproblems.ai/wiki/research/erdos_1221/ko26b_theorem_1_1_reconstruction https://erdosproblems.ai/wiki/research/erdos_132 https://erdosproblems.ai/wiki/research/erdos_132/layers_and_obstructions https://erdosproblems.ai/wiki/research/erdos_132/source_notes https://erdosproblems.ai/wiki/research/erdos_132/source_notes/bhowmick_2024_problem_erdos_about_rich_distances https://erdosproblems.ai/wiki/research/erdos_132/source_notes/clemen_2025_multiplicities_interpoint_distances https://erdosproblems.ai/wiki/research/erdos_132/source_notes/erdos_1946_sets_distances_points https://erdosproblems.ai/wiki/research/erdos_132/source_notes/erdos_1984_old_new_problems_combinatorial_geometry https://erdosproblems.ai/wiki/research/erdos_132/source_notes/erdos_fishburn_1995_multiplicities_interpoint_distances_finite_planar_sets https://erdosproblems.ai/wiki/research/erdos_132/source_notes/erdos_fishburn_1996_maximum_planar_sets_that_determine_k_distances https://erdosproblems.ai/wiki/research/erdos_132/source_notes/fishburn_1995_convex_polygons_few_intervertex_distances https://erdosproblems.ai/wiki/research/erdos_132/source_notes/shinohara_2004_classification_three_distance_sets_two_dimensional_euclidean_space https://erdosproblems.ai/wiki/research/erdos_132/source_notes/shinohara_2008_uniqueness_maximum_planar_five_distance_sets https://erdosproblems.ai/wiki/research/erdos_132/source_notes/solymosi_zahl_2022_improved_elekes_szabo_estimates https://erdosproblems.ai/wiki/research/erdos_132/source_notes/szollosi_ostergard_2020_maximum_few_distance_sets https://erdosproblems.ai/wiki/research/erdos_132/source_notes/vesztergombi_1987_large_distances_planar_sets https://erdosproblems.ai/wiki/research/erdos_15 https://erdosproblems.ai/wiki/research/erdos_15/evidence https://erdosproblems.ai/wiki/research/erdos_15/evidence/verify https://erdosproblems.ai/wiki/research/erdos_15/evidence/verify/grade https://erdosproblems.ai/wiki/research/erdos_15/evidence/verify/lemma_3_1_reconstruction_review https://erdosproblems.ai/wiki/research/erdos_15/evidence/verify/lemma_3_2_reconstruction_review https://erdosproblems.ai/wiki/research/erdos_15/evidence/verify/relation_2_1_reconstruction_review https://erdosproblems.ai/wiki/research/erdos_15/evidence/verify/theorem_1_4_reconstruction_review https://erdosproblems.ai/wiki/research/erdos_15/lemma_3_1_reconstruction https://erdosproblems.ai/wiki/research/erdos_15/lemma_3_2_reconstruction https://erdosproblems.ai/wiki/research/erdos_15/relation_2_1_reconstruction https://erdosproblems.ai/wiki/research/erdos_15/theorem_1_4_reconstruction https://erdosproblems.ai/wiki/research/erdos_156 https://erdosproblems.ai/wiki/research/erdos_156/foundations https://erdosproblems.ai/wiki/research/erdos_156/foundations/lower_bound https://erdosproblems.ai/wiki/research/erdos_156/foundations/ruzsa_and_carries https://erdosproblems.ai/wiki/research/erdos_156/source_notes https://erdosproblems.ai/wiki/research/erdos_156/source_notes/bennett_bohman_2013_note_random_greedy_independent_set_algorithm https://erdosproblems.ai/wiki/research/erdos_156/source_notes/carlet_2022_apn_functions_whose_graphs_are_maximal_sidon_sets https://erdosproblems.ai/wiki/research/erdos_156/source_notes/csajbok_2024_complete_3_term_arithmetic_progression_free https://erdosproblems.ai/wiki/research/erdos_156/source_notes/czerwinski_2023_sidon_sets_sum_free_sets_linear https://erdosproblems.ai/wiki/research/erdos_156/source_notes/erdos_1994_sum_sets_sidon_sets_i https://erdosproblems.ai/wiki/research/erdos_156/source_notes/huber_2026_saturated_sidon_sets_consecutive_intervals_eight_mark_threshold_144 https://erdosproblems.ai/wiki/research/erdos_156/source_notes/joos_et_al_2024_conflict_free_hypergraph_matchings_coverings https://erdosproblems.ai/wiki/research/erdos_156/source_notes/nagy_2022_thin_sidon_sets_nonlinearity_vectorial_boolean https://erdosproblems.ai/wiki/research/erdos_156/source_notes/obryant_2004_complete_annotated_bibliography_work_related_sidon https://erdosproblems.ai/wiki/research/erdos_156/source_notes/redman_2021_small_maximal_sidon_set_z_2 https://erdosproblems.ai/wiki/research/erdos_156/source_notes/ruzsa_1998_small_maximal_sidon_set https://erdosproblems.ai/wiki/research/erdos_156/source_notes/sarkozy_1997_additive_representation_functions https://erdosproblems.ai/wiki/research/erdos_156/source_notes/silva_2005_maximal_sidon_sets_matroids https://erdosproblems.ai/wiki/research/erdos_156/source_notes/singer_1938_theorem_finite_projective_geometry_some_applications_number_theory https://erdosproblems.ai/wiki/research/erdos_156/source_notes/thornburgh_2024_uniform_exclude_distributions_sidon_sets https://erdosproblems.ai/wiki/research/erdos_18 https://erdosproblems.ai/wiki/research/erdos_18/doorn_corollary_3_4_reconstruction https://erdosproblems.ai/wiki/research/erdos_18/doorn_lemma_3_1_reconstruction https://erdosproblems.ai/wiki/research/erdos_18/doorn_lemma_3_2_reconstruction https://erdosproblems.ai/wiki/research/erdos_18/doorn_lemma_3_3_reconstruction https://erdosproblems.ai/wiki/research/erdos_18/doorn_proposition_4_1_reconstruction https://erdosproblems.ai/wiki/research/erdos_18/doorn_theorem_1_1_reconstruction https://erdosproblems.ai/wiki/research/erdos_18/evidence https://erdosproblems.ai/wiki/research/erdos_18/evidence/verify https://erdosproblems.ai/wiki/research/erdos_18/evidence/verify/doorn_corollary_3_4_reconstruction_review https://erdosproblems.ai/wiki/research/erdos_18/evidence/verify/doorn_lemma_3_1_reconstruction_review https://erdosproblems.ai/wiki/research/erdos_18/evidence/verify/doorn_lemma_3_2_reconstruction_review https://erdosproblems.ai/wiki/research/erdos_18/evidence/verify/doorn_lemma_3_3_reconstruction_review https://erdosproblems.ai/wiki/research/erdos_18/evidence/verify/doorn_proposition_4_1_reconstruction_review https://erdosproblems.ai/wiki/research/erdos_18/evidence/verify/doorn_theorem_1_1_reconstruction_review https://erdosproblems.ai/wiki/research/erdos_18/evidence/verify/grade https://erdosproblems.ai/wiki/research/erdos_18/evidence/verify/hughes_corollary_3_reconstruction_review https://erdosproblems.ai/wiki/research/erdos_18/evidence/verify/hughes_lemma_4_reconstruction_review https://erdosproblems.ai/wiki/research/erdos_18/evidence/verify/hughes_remark_6_reconstruction_review https://erdosproblems.ai/wiki/research/erdos_18/evidence/verify/hughes_theorem_1_reconstruction_review https://erdosproblems.ai/wiki/research/erdos_18/hughes_corollary_3_reconstruction https://erdosproblems.ai/wiki/research/erdos_18/hughes_lemma_4_reconstruction https://erdosproblems.ai/wiki/research/erdos_18/hughes_remark_6_reconstruction https://erdosproblems.ai/wiki/research/erdos_18/hughes_theorem_1_reconstruction https://erdosproblems.ai/wiki/research/erdos_25 https://erdosproblems.ai/wiki/research/erdos_25/source_notes https://erdosproblems.ai/wiki/research/erdos_25/source_notes/araujo_2026_sarnaks_program_erdos_sieves_part_ii_measure_systems_applications https://erdosproblems.ai/wiki/research/erdos_25/source_notes/balister_2018_erdos_covering_problem_density_uncovered_set https://erdosproblems.ai/wiki/research/erdos_25/source_notes/besicovitch_1935_density_certain_sequences_integers https://erdosproblems.ai/wiki/research/erdos_25/source_notes/chojecki_2026_truncated_congruence_sieves_erdos_problem_25 https://erdosproblems.ai/wiki/research/erdos_25/source_notes/davenport_erdos_1936_sequences_positive_integers https://erdosproblems.ai/wiki/research/erdos_25/source_notes/davenport_erdos_1951_sequences_positive_integers https://erdosproblems.ai/wiki/research/erdos_25/source_notes/filaseta_2007_sieving_large_integers_covering_systems_congruences https://erdosproblems.ai/wiki/research/erdos_25/source_notes/hough_2015_solution_minimum_modulus_problem_covering_systems https://erdosproblems.ai/wiki/research/erdos_25/source_notes/wang_2026_proposed_solution_erdos_problem_486 https://erdosproblems.ai/wiki/research/erdos_354 https://erdosproblems.ai/wiki/research/erdos_354/evidence https://erdosproblems.ai/wiki/research/erdos_354/evidence/verify https://erdosproblems.ai/wiki/research/erdos_354/evidence/verify/fan_remark_4_1_reconstruction_review https://erdosproblems.ai/wiki/research/erdos_354/evidence/verify/fan_remark_4_2_reconstruction_review https://erdosproblems.ai/wiki/research/erdos_354/evidence/verify/geneson_corollary_12_reconstruction_review https://erdosproblems.ai/wiki/research/erdos_354/evidence/verify/geneson_theorem_9_reconstruction_review https://erdosproblems.ai/wiki/research/erdos_354/evidence/verify/grade https://erdosproblems.ai/wiki/research/erdos_354/evidence/verify/yu_chen_bg_reconstruction_review https://erdosproblems.ai/wiki/research/erdos_354/evidence/verify/yu_chen_db_reconstruction_review https://erdosproblems.ai/wiki/research/erdos_354/evidence/verify/yu_chen_fe_reconstruction_review https://erdosproblems.ai/wiki/research/erdos_354/evidence/verify/yu_chen_lemma_2_1_reconstruction_review https://erdosproblems.ai/wiki/research/erdos_354/evidence/verify/yu_chen_lemma_2_2_reconstruction_review https://erdosproblems.ai/wiki/research/erdos_354/evidence/verify/yu_chen_lemma_2_3_reconstruction_review https://erdosproblems.ai/wiki/research/erdos_354/evidence/verify/yu_chen_normalization_reconstruction_review https://erdosproblems.ai/wiki/research/erdos_354/evidence/verify/yu_chen_theorem_5_1_reconstruction_review https://erdosproblems.ai/wiki/research/erdos_354/evidence/verify/yu_chen_theorem_reconstruction_review https://erdosproblems.ai/wiki/research/erdos_354/evidence/verify/yu_chen_windows_reconstruction_review https://erdosproblems.ai/wiki/research/erdos_354/fan_remark_4_1_reconstruction https://erdosproblems.ai/wiki/research/erdos_354/fan_remark_4_2_reconstruction https://erdosproblems.ai/wiki/research/erdos_354/geneson_corollary_12_reconstruction https://erdosproblems.ai/wiki/research/erdos_354/geneson_theorem_9_reconstruction https://erdosproblems.ai/wiki/research/erdos_354/yu_chen_bg_reconstruction https://erdosproblems.ai/wiki/research/erdos_354/yu_chen_db_reconstruction https://erdosproblems.ai/wiki/research/erdos_354/yu_chen_fe_reconstruction https://erdosproblems.ai/wiki/research/erdos_354/yu_chen_lemma_2_1_reconstruction https://erdosproblems.ai/wiki/research/erdos_354/yu_chen_lemma_2_2_reconstruction https://erdosproblems.ai/wiki/research/erdos_354/yu_chen_lemma_2_3_reconstruction https://erdosproblems.ai/wiki/research/erdos_354/yu_chen_normalization_reconstruction https://erdosproblems.ai/wiki/research/erdos_354/yu_chen_theorem_5_1_reconstruction https://erdosproblems.ai/wiki/research/erdos_354/yu_chen_theorem_reconstruction https://erdosproblems.ai/wiki/research/erdos_354/yu_chen_windows_reconstruction https://erdosproblems.ai/wiki/research/erdos_416 https://erdosproblems.ai/wiki/research/erdos_416/evidence https://erdosproblems.ai/wiki/research/erdos_416/evidence/verify https://erdosproblems.ai/wiki/research/erdos_416/evidence/verify/grade https://erdosproblems.ai/wiki/research/erdos_416/evidence/verify/kruer_kohlmeyer_lemma_2_1_reconstruction_review https://erdosproblems.ai/wiki/research/erdos_416/evidence/verify/kruer_kohlmeyer_lemma_5_1_reconstruction_review https://erdosproblems.ai/wiki/research/erdos_416/evidence/verify/kruer_kohlmeyer_theorem_1_1_reconstruction_review https://erdosproblems.ai/wiki/research/erdos_416/evidence/verify/zeraoulia_theorem_1_1_reconstruction_review https://erdosproblems.ai/wiki/research/erdos_416/kruer_kohlmeyer_lemma_2_1_reconstruction https://erdosproblems.ai/wiki/research/erdos_416/kruer_kohlmeyer_lemma_5_1_reconstruction https://erdosproblems.ai/wiki/research/erdos_416/kruer_kohlmeyer_theorem_1_1_reconstruction https://erdosproblems.ai/wiki/research/erdos_416/zeraoulia_theorem_1_1_reconstruction https://erdosproblems.ai/wiki/research/erdos_49 https://erdosproblems.ai/wiki/research/erdos_49/evidence https://erdosproblems.ai/wiki/research/erdos_49/evidence/verify https://erdosproblems.ai/wiki/research/erdos_49/evidence/verify/grade https://erdosproblems.ai/wiki/research/erdos_49/evidence/verify/lemma_3_2_reconstruction_review https://erdosproblems.ai/wiki/research/erdos_49/evidence/verify/lemma_4_1_reconstruction_review https://erdosproblems.ai/wiki/research/erdos_49/evidence/verify/lemma_5_1_reconstruction_review https://erdosproblems.ai/wiki/research/erdos_49/evidence/verify/theorem_1_2_reconstruction_review https://erdosproblems.ai/wiki/research/erdos_49/evidence/verify/theorem_3_1_reconstruction_review https://erdosproblems.ai/wiki/research/erdos_49/evidence/verify/theorem_3_3_reconstruction_review https://erdosproblems.ai/wiki/research/erdos_49/lemma_3_2_reconstruction https://erdosproblems.ai/wiki/research/erdos_49/lemma_4_1_reconstruction https://erdosproblems.ai/wiki/research/erdos_49/lemma_5_1_reconstruction https://erdosproblems.ai/wiki/research/erdos_49/theorem_1_2_reconstruction https://erdosproblems.ai/wiki/research/erdos_49/theorem_3_1_reconstruction https://erdosproblems.ai/wiki/research/erdos_49/theorem_3_3_reconstruction https://erdosproblems.ai/wiki/research/erdos_501 https://erdosproblems.ai/wiki/research/erdos_501/ch_counterexample_reconstruction https://erdosproblems.ai/wiki/research/erdos_501/evidence https://erdosproblems.ai/wiki/research/erdos_501/evidence/verify https://erdosproblems.ai/wiki/research/erdos_501/evidence/verify/ch_counterexample_reconstruction_review https://erdosproblems.ai/wiki/research/erdos_501/evidence/verify/glazer_lemma_2_1_reconstruction_review https://erdosproblems.ai/wiki/research/erdos_501/evidence/verify/glazer_lemma_2_2_reconstruction_review https://erdosproblems.ai/wiki/research/erdos_501/evidence/verify/glazer_lemma_4_1_reconstruction_review https://erdosproblems.ai/wiki/research/erdos_501/evidence/verify/glazer_lemma_4_3_reconstruction_review https://erdosproblems.ai/wiki/research/erdos_501/evidence/verify/glazer_lemma_4_5_reconstruction_review https://erdosproblems.ai/wiki/research/erdos_501/evidence/verify/glazer_proposition_4_4_reconstruction_review https://erdosproblems.ai/wiki/research/erdos_501/evidence/verify/glazer_theorem_1_1_reconstruction_review https://erdosproblems.ai/wiki/research/erdos_501/evidence/verify/glazer_theorem_3_2_reconstruction_review https://erdosproblems.ai/wiki/research/erdos_501/evidence/verify/glazer_theorem_5_1_reconstruction_review https://erdosproblems.ai/wiki/research/erdos_501/evidence/verify/grade https://erdosproblems.ai/wiki/research/erdos_501/evidence/verify/lee_lemma_2_1_reconstruction_review https://erdosproblems.ai/wiki/research/erdos_501/evidence/verify/lee_lemma_3_1_reconstruction_review https://erdosproblems.ai/wiki/research/erdos_501/evidence/verify/lee_theorem_1_1_reconstruction_review https://erdosproblems.ai/wiki/research/erdos_501/glazer_lemma_2_1_reconstruction https://erdosproblems.ai/wiki/research/erdos_501/glazer_lemma_2_2_reconstruction https://erdosproblems.ai/wiki/research/erdos_501/glazer_lemma_4_1_reconstruction https://erdosproblems.ai/wiki/research/erdos_501/glazer_lemma_4_3_reconstruction https://erdosproblems.ai/wiki/research/erdos_501/glazer_lemma_4_5_reconstruction https://erdosproblems.ai/wiki/research/erdos_501/glazer_proposition_4_4_reconstruction https://erdosproblems.ai/wiki/research/erdos_501/glazer_theorem_1_1_reconstruction https://erdosproblems.ai/wiki/research/erdos_501/glazer_theorem_3_2_reconstruction https://erdosproblems.ai/wiki/research/erdos_501/glazer_theorem_5_1_reconstruction https://erdosproblems.ai/wiki/research/erdos_501/lee_lemma_2_1_reconstruction https://erdosproblems.ai/wiki/research/erdos_501/lee_lemma_3_1_reconstruction https://erdosproblems.ai/wiki/research/erdos_501/lee_theorem_1_1_reconstruction https://erdosproblems.ai/wiki/research/erdos_617 https://erdosproblems.ai/wiki/research/erdos_617/packing_tools https://erdosproblems.ai/wiki/research/erdos_617/source_notes https://erdosproblems.ai/wiki/research/erdos_617/source_notes/almasi_2023_ramsey_turnaround_numbers https://erdosproblems.ai/wiki/research/erdos_617/source_notes/andrasfai_et_al_1974_connection_between_chromatic_number_maximal_clique_minimal_degree_graph https://erdosproblems.ai/wiki/research/erdos_617/source_notes/codex_terpstra_2026_fixed_r10_r11_erdos_617 https://erdosproblems.ai/wiki/research/erdos_617/source_notes/erdos_gyarfas_1999_split_balanced_colorings_complete_graphs https://erdosproblems.ai/wiki/research/erdos_617/source_notes/furedi_2015_proof_stability_extremal_graphs_simonovits_stability_from_szemeredis_regularity https://erdosproblems.ai/wiki/research/erdos_617/source_notes/furedi_ramamurthi_2002_splittable_colorings_graphs_hypergraphs https://erdosproblems.ai/wiki/research/erdos_617/source_notes/gyarfas_1998_generalized_split_graphs_ramsey_numbers https://erdosproblems.ai/wiki/research/erdos_617/source_notes/gyarfas_2023_problems_close_my_heart https://erdosproblems.ai/wiki/research/erdos_617/source_notes/gyarfas_et_al_2002_finite_basis_characterization_split_colorings https://erdosproblems.ai/wiki/research/erdos_617/source_notes/kang_pikhurko_2005_maximum_k_r_1_free_graphs_which_are_not_r_partite https://erdosproblems.ai/wiki/research/erdos_617/source_notes/kara_2026_machine_verified_fixed_r5_erdos_617 https://erdosproblems.ai/wiki/research/erdos_617/source_notes/kostochka_yancey_2012_ores_conjecture_color_critical_graphs_is_almost_true https://erdosproblems.ai/wiki/research/erdos_617/source_notes/sneiderman_2026_five_color_case_balanced_coloring https://erdosproblems.ai/wiki/research/erdos_617/source_notes/sneiderman_2026_nine_color_case_balanced_coloring https://erdosproblems.ai/wiki/research/erdos_617/source_notes/sneiderman_2026_seven_eight_color_cases_balanced_coloring https://erdosproblems.ai/wiki/research/erdos_617/source_notes/sneiderman_2026_six_color_case_balanced_coloring https://erdosproblems.ai/wiki/research/erdos_644 https://erdosproblems.ai/wiki/research/erdos_644/source_notes https://erdosproblems.ai/wiki/research/erdos_644/source_notes/bucic_et_al_2019_covering_graphs_by_monochromatic_trees_helly_type_results_hypergraphs https://erdosproblems.ai/wiki/research/erdos_644/source_notes/erdos_1997_some_recent_problems_results_graph_theory https://erdosproblems.ai/wiki/research/erdos_644/source_notes/fon_der_flaass_et_al_1999_transversals_uniform_hypergraphs_property_7_2 https://erdosproblems.ai/wiki/research/erdos_644/source_notes/tuza_1985_critical_hypergraphs_intersecting_set_pair_systems https://erdosproblems.ai/wiki/research/erdos_699 https://erdosproblems.ai/wiki/research/erdos_774 https://erdosproblems.ai/wiki/research/erdos_774/evidence https://erdosproblems.ai/wiki/research/erdos_774/evidence/grow_whicher https://erdosproblems.ai/wiki/research/erdos_774/evidence/tensor_layers https://erdosproblems.ai/wiki/research/erdos_774/lemmas https://erdosproblems.ai/wiki/research/erdos_774/lemmas/finite_blocks https://erdosproblems.ai/wiki/research/erdos_774/source_notes https://erdosproblems.ai/wiki/research/erdos_774/source_notes/alon https://erdosproblems.ai/wiki/research/erdos_774/source_notes/anderson https://erdosproblems.ai/wiki/research/erdos_774/source_notes/bzdega https://erdosproblems.ai/wiki/research/erdos_774/source_notes/christie https://erdosproblems.ai/wiki/research/erdos_774/source_notes/conway_jones https://erdosproblems.ai/wiki/research/erdos_774/source_notes/coppersmith_steinberger https://erdosproblems.ai/wiki/research/erdos_774/source_notes/dadderio_moci https://erdosproblems.ai/wiki/research/erdos_774/source_notes/duval https://erdosproblems.ai/wiki/research/erdos_774/source_notes/edmonds https://erdosproblems.ai/wiki/research/erdos_774/source_notes/graham_leeb_rothschild https://erdosproblems.ai/wiki/research/erdos_774/source_notes/graham_rothschild https://erdosproblems.ai/wiki/research/erdos_774/source_notes/grow https://erdosproblems.ai/wiki/research/erdos_774/source_notes/hare https://erdosproblems.ai/wiki/research/erdos_774/source_notes/harrison https://erdosproblems.ai/wiki/research/erdos_774/source_notes/hindman_strauss https://erdosproblems.ai/wiki/research/erdos_774/source_notes/karagiannis https://erdosproblems.ai/wiki/research/erdos_774/source_notes/lam_leung https://erdosproblems.ai/wiki/research/erdos_774/source_notes/lewko https://erdosproblems.ai/wiki/research/erdos_774/source_notes/lovitz_petrov https://erdosproblems.ai/wiki/research/erdos_774/source_notes/martin_reiner https://erdosproblems.ai/wiki/research/erdos_774/source_notes/moser_tardos https://erdosproblems.ai/wiki/research/erdos_774/source_notes/nesetril https://erdosproblems.ai/wiki/research/erdos_774/source_notes/onn https://erdosproblems.ai/wiki/research/erdos_774/source_notes/pisier https://erdosproblems.ai/wiki/research/erdos_774/source_notes/poonen_rubinstein https://erdosproblems.ai/wiki/research/erdos_774/source_notes/promel_voigt https://erdosproblems.ai/wiki/research/erdos_774/source_notes/ramsey_graham https://erdosproblems.ai/wiki/research/erdos_774/source_notes/ramsey_graham_extension https://erdosproblems.ai/wiki/research/erdos_774/source_notes/revesz_open_problems https://erdosproblems.ai/wiki/research/erdos_774/source_notes/steinberger https://erdosproblems.ai/wiki/research/erdos_774/source_notes/tan_zhang https://erdosproblems.ai/wiki/research/erdos_774/source_notes/tao_notes https://erdosproblems.ai/wiki/research/erdos_774/source_notes/voigt https://erdosproblems.ai/wiki/research/erdos_809 https://erdosproblems.ai/wiki/research/erdos_809/archive https://erdosproblems.ai/wiki/research/erdos_809/archive/c7_adaptive_frames https://erdosproblems.ai/wiki/research/erdos_809/archive/c7_core_port_constructions https://erdosproblems.ai/wiki/research/erdos_809/archive/c7_correlated_ports https://erdosproblems.ai/wiki/research/erdos_809/archive/c7_cut_palette_certificate https://erdosproblems.ai/wiki/research/erdos_809/archive/c7_cycle_space_obstruction https://erdosproblems.ai/wiki/research/erdos_809/archive/c7_dense_curve_obstruction https://erdosproblems.ai/wiki/research/erdos_809/archive/c7_dominating_walk_cliques https://erdosproblems.ai/wiki/research/erdos_809/archive/c7_half_edge_reduction https://erdosproblems.ai/wiki/research/erdos_809/archive/c7_large_palettes https://erdosproblems.ai/wiki/research/erdos_809/archive/c7_linked_tripartite_core https://erdosproblems.ai/wiki/research/erdos_809/archive/c7_local_rainbow_sets https://erdosproblems.ai/wiki/research/erdos_809/archive/c7_ore_mass_obstruction https://erdosproblems.ai/wiki/research/erdos_809/archive/c7_overlapping_ports https://erdosproblems.ai/wiki/research/erdos_809/archive/c7_palette_stationarity https://erdosproblems.ai/wiki/research/erdos_809/archive/c7_private_core_hubs https://erdosproblems.ai/wiki/research/erdos_809/archive/c7_rainbow_representatives https://erdosproblems.ai/wiki/research/erdos_809/archive/c7_random_blowup_lp https://erdosproblems.ai/wiki/research/erdos_809/archive/c7_reflection_norms https://erdosproblems.ai/wiki/research/erdos_809/archive/c7_residual_geometry https://erdosproblems.ai/wiki/research/erdos_809/archive/c7_residual_spectral https://erdosproblems.ai/wiki/research/erdos_809/archive/c7_second_degree https://erdosproblems.ai/wiki/research/erdos_809/archive/c7_semidefinite_approach https://erdosproblems.ai/wiki/research/erdos_809/archive/c7_singleton_palettes https://erdosproblems.ai/wiki/research/erdos_809/archive/c7_tensor_exclusions https://erdosproblems.ai/wiki/research/erdos_809/archive/c7_tensor_palettes https://erdosproblems.ai/wiki/research/erdos_809/archive/c7_triangle_average https://erdosproblems.ai/wiki/research/erdos_809/archive/c7_triangle_component https://erdosproblems.ai/wiki/research/erdos_809/archive/c7_triangle_vertices https://erdosproblems.ai/wiki/research/erdos_809/archive/c7_triangular_support https://erdosproblems.ai/wiki/research/erdos_809/archive/c7_two_nontriangular_types https://erdosproblems.ai/wiki/research/erdos_809/archive/c7_two_star_rectangles https://erdosproblems.ai/wiki/research/erdos_809/archive/c7_universal_components https://erdosproblems.ai/wiki/research/erdos_809/archive/c7_universal_subsets https://erdosproblems.ai/wiki/research/erdos_809/archive/c7_walk_clique_pruning https://erdosproblems.ai/wiki/research/erdos_809/archive/evidence https://erdosproblems.ai/wiki/research/erdos_809/evidence https://erdosproblems.ai/wiki/research/erdos_809/formalization https://erdosproblems.ai/wiki/research/erdos_809/proofs https://erdosproblems.ai/wiki/research/erdos_809/proofs/c7_homomorphic_cleaning https://erdosproblems.ai/wiki/research/erdos_809/proofs/c7_joint_clique_mass https://erdosproblems.ai/wiki/research/erdos_809/proofs/c7_near_bipartite https://erdosproblems.ai/wiki/research/erdos_809/proofs/c7_near_regular https://erdosproblems.ai/wiki/research/erdos_809/proofs/c7_palette_savings https://erdosproblems.ai/wiki/research/erdos_809/proofs/c7_solution https://erdosproblems.ai/wiki/research/erdos_864 https://erdosproblems.ai/wiki/research/erdos_864/established_bounds https://erdosproblems.ai/wiki/research/erdos_864/source_notes https://erdosproblems.ai/wiki/research/erdos_864/source_notes/conlon_et_al_2020_regularity_method_graphs_few_4_cycles https://erdosproblems.ai/wiki/research/erdos_864/source_notes/erdos_1941_problem_sidon_additive_number_theory_related https://erdosproblems.ai/wiki/research/erdos_864/source_notes/erdos_1981_problems_results_additive_multiplicative_number_theory https://erdosproblems.ai/wiki/research/erdos_864/source_notes/erdos_1992_my_forgotten_problems_number_theory https://erdosproblems.ai/wiki/research/erdos_864/source_notes/erdos_1994_sum_sets_sidon_sets_i https://erdosproblems.ai/wiki/research/erdos_864/source_notes/erdos_et_al_1995_sum_sets_sidon_sets_ii https://erdosproblems.ai/wiki/research/erdos_864/source_notes/erdos_freud_1991_sums_sidon_sequence https://erdosproblems.ai/wiki/research/erdos_864/source_notes/obryant_2004_complete_annotated_bibliography_work_related_sidon https://erdosproblems.ai/wiki/research/erdos_864/source_notes/pikhurko_2006_dense_edge_magic_graphs_thin_additive https://erdosproblems.ai/wiki/research/erdos_939 https://erdosproblems.ai/wiki/research/erdos_939/evidence https://erdosproblems.ai/wiki/research/erdos_939/evidence/verify https://erdosproblems.ai/wiki/research/erdos_939/evidence/verify/grade https://erdosproblems.ai/wiki/research/erdos_939/evidence/verify/theorem_1_reconstruction_review https://erdosproblems.ai/wiki/research/erdos_939/theorem_1_reconstruction https://erdosproblems.ai/wiki/research/erdos_940 https://erdosproblems.ai/wiki/research/erdos_940/source_notes https://erdosproblems.ai/wiki/research/erdos_940/source_notes/beyer_de_ryke_2026_density_deficit_cube_full_sums https://erdosproblems.ai/wiki/research/erdos_940/source_notes/browning_heath_brown_2018_counting_rational_points_quadric_surfaces https://erdosproblems.ai/wiki/research/erdos_940/source_notes/browning_munshi_wang_2026_beyond_square_root_barrier_cubic_forms_perazzo_type https://erdosproblems.ai/wiki/research/erdos_940/source_notes/browning_verzobio_2026_sums_three_powerful_numbers https://erdosproblems.ai/wiki/research/erdos_940/source_notes/colliot_thelene_skorobogatov_2021_brauer_groups_schemes https://erdosproblems.ai/wiki/research/erdos_940/source_notes/colliot_thelene_skorobogatov_2021_comparing_two_brauer_groups_ii https://erdosproblems.ai/wiki/research/erdos_940/source_notes/elman_karpenko_merkurjev_2008_algebraic_geometric_theory_quadratic_forms https://erdosproblems.ai/wiki/research/erdos_940/source_notes/ghidelli_2019_arbitrarily_long_gaps_between_values_positive_definite_cubic_biquadratic_diagonal_forms https://erdosproblems.ai/wiki/research/erdos_940/source_notes/heath_brown_1997_density_rational_points_cubic_surfaces https://erdosproblems.ai/wiki/research/erdos_940/source_notes/voight_2021_quaternion_algebras_over_global_fields https://erdosproblems.ai/wiki/research/erdos_940/source_notes/wang_2021_sums_cubes_ratios_conjectures https://erdosproblems.ai/wiki/research/erdos_963 https://erdosproblems.ai/wiki/research/erdos_963/source_notes https://erdosproblems.ai/wiki/research/erdos_963/source_notes/alon_1985_application_graph_theory_additive_number_theory https://erdosproblems.ai/wiki/research/erdos_963/source_notes/bedert_2023_unique_sums_abelian_groups https://erdosproblems.ai/wiki/research/erdos_963/source_notes/bohman_1997_construction_sets_integers_distinct_subset_sums https://erdosproblems.ai/wiki/research/erdos_963/source_notes/candela_helfgott_2014_dimension_additive_sets https://erdosproblems.ai/wiki/research/erdos_963/source_notes/costa_et_al_2021_variations_erdos_distinct_sums_problem https://erdosproblems.ai/wiki/research/erdos_963/source_notes/dubroff_2021_note_erdos_distinct_subset_sums_problem https://erdosproblems.ai/wiki/research/erdos_963/source_notes/erdos_1965_extremal_problems_number_theory https://erdosproblems.ai/wiki/research/erdos_963/source_notes/lev_2017_isoperimetric_stability https://erdosproblems.ai/wiki/research/erdos_963/source_notes/lev_yuster_2010_size_dissociated_bases https://erdosproblems.ai/wiki/research/erdos_963/source_notes/lunnon_1988_integer_sets_distinct_subset_sums https://erdosproblems.ai/wiki/research/erdos_963/source_notes/montgomery_vaughan_1979_mean_values_character_sums https://erdosproblems.ai/wiki/research/erdos_963/source_notes/pisier_1983_arithmetic_characterizations_sidon_sets https://erdosproblems.ai/wiki/research/erdos_963/source_notes/shkredov_yekhanin_2010_sets_large_additive_energy_symmetric_sets https://erdosproblems.ai/wiki/research/erdos_963/source_notes/steinerberger_2022_remarks_erdos_distinct_subset_sums_problem https://erdosproblems.ai/wiki/research/leads https://erdosproblems.ai/wiki/research/leads/borsuk_dimension_63_public_claims https://erdosproblems.ai/wiki/research/leads/polynomial_product_prime_value_condition https://erdosproblems.ai/wiki/research/leads/polynomial_product_prime_value_condition/corollary_4_1_reconstruction https://erdosproblems.ai/wiki/research/leads/polynomial_product_prime_value_condition/evidence https://erdosproblems.ai/wiki/research/leads/polynomial_product_prime_value_condition/evidence/verify https://erdosproblems.ai/wiki/research/leads/polynomial_product_prime_value_condition/evidence/verify/conditional_argument_grade https://erdosproblems.ai/wiki/research/leads/polynomial_product_prime_value_condition/evidence/verify/conditional_argument_reading https://erdosproblems.ai/wiki/research/leads/polynomial_product_prime_value_condition/evidence/verify/source_reading https://erdosproblems.ai/wiki/research/leads/polynomial_product_prime_value_condition/evidence/verify/source_reconstruction_grade https://erdosproblems.ai/wiki/research/leads/polynomial_product_prime_value_condition/evidence/verify/source_reconstruction_review https://erdosproblems.ai/wiki/research/leads/polynomial_product_prime_value_condition/evidence/verify/source_reconstruction_source_reading https://erdosproblems.ai/wiki/research/leads/polynomial_product_prime_value_condition/lemma_2_1_reconstruction https://erdosproblems.ai/wiki/research/leads/polynomial_product_prime_value_condition/theorem_3_2_reconstruction https://erdosproblems.ai/wiki/research/leads/totient_binary_series https://erdosproblems.ai/wiki/research/leads/totient_binary_series/analytic_sources https://erdosproblems.ai/wiki/research/leads/totient_blocks_native_note https://erdosproblems.ai/wiki/research/methods https://erdosproblems.ai/wiki/research/methods/dense_graph_minimum_degree https://erdosproblems.ai/wiki/standing https://erdosproblems.ai/wiki/theory https://erdosproblems.ai/wiki/theory/ramsey_theory/L17_rainbow_odd_cycle_threshold https://erdosproblems.ai/wiki/theory/ramsey_theory/L17_rainbow_odd_cycle_threshold/_proof https://erdosproblems.ai/wiki/theory/ramsey_theory/L17_rainbow_odd_cycle_threshold/evidence https://erdosproblems.ai/wiki/theory/ramsey_theory/L17_rainbow_odd_cycle_threshold/evidence/verify https://erdosproblems.ai/wiki/theory/ramsey_theory/L17_rainbow_odd_cycle_threshold/evidence/verify/clean_gate https://erdosproblems.ai/wiki/theory/ramsey_theory/L17_rainbow_odd_cycle_threshold/evidence/verify/statement_fidelity https://erdosproblems.ai/wiki/theory/ramsey_theory/L17_rainbow_odd_cycle_threshold/evidence/verify/statement_fidelity_2 https://erdosproblems.ai/wiki/theory/ramsey_theory/L17_rainbow_odd_cycle_threshold/evidence/verify/statement_fidelity_2/grade https://erdosproblems.ai/wiki/theory/ramsey_theory/L17_rainbow_odd_cycle_threshold/evidence/verify/statement_fidelity_2/review https://erdosproblems.ai/wiki/theory/ramsey_theory