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Research notes on every problem, and a library of the papers behind them. Built from the open erdos repository.

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2026_04_16_tang_li: A manuscript posted by Tang and Li on 16 April 2026, its proof produced by GPT 5.4 Pro, proving the problem's inequality under the density hypothesis and remarking that a positive weighted-sum growth rate suffices.

2026_05_01_alexeev_barreto_li_lichtman_price_shah_tang_tao: Every set of integers whose sum of 1/(a log a) has a positive upper growth rate against log log x contains an infinite divisibility chain whose count has at least that upper growth rate; proved in the authors' preprint of May 2026.