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erdos_699_prime_pair_strips_20.json

json
{
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        {
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          "method": "coefficient lower-bound strips",
          "p_exponent_advance": 2640592,
          "q_exponent_advance": 2003296
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        {
          "p_exponent": 15843552,
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          "p_power_bits": 44478474,
          "q_power_bits": 44478472,
          "minimum_u_bits": 44478465,
          "minimum_v_bits": 44478468,
          "method": "coefficient lower-bound strips",
          "p_exponent_advance": 3168709,
          "q_exponent_advance": 2403956
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        {
          "p_exponent": 19012261,
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          "p_power_bits": 53374165,
          "q_power_bits": 53374166,
          "minimum_u_bits": 53374161,
          "minimum_v_bits": 53374160,
          "method": "coefficient lower-bound strips",
          "p_exponent_advance": 3802452,
          "q_exponent_advance": 2884747
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        {
          "p_exponent": 22814713,
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          "p_power_bits": 64048997,
          "q_power_bits": 64048998,
          "minimum_u_bits": 64048994,
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          "method": "coefficient lower-bound strips",
          "p_exponent_advance": 4562942,
          "q_exponent_advance": 3461696
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        {
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      ],
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        {
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          "minimum_v_bits": 8901492,
          "method": "coefficient lower-bound strips",
          "p_exponent_advance": 435551,
          "q_exponent_advance": 419098
        },
        {
          "p_exponent": 2613308,
          "q_exponent": 2514591,
          "p_power_bits": 10681800,
          "q_power_bits": 10681801,
          "minimum_u_bits": 10681794,
          "minimum_v_bits": 10681794,
          "method": "coefficient lower-bound strips",
          "p_exponent_advance": 522661,
          "q_exponent_advance": 502918
        },
        {
          "p_exponent": 3135969,
          "q_exponent": 3017509,
          "p_power_bits": 12818157,
          "q_power_bits": 12818160,
          "minimum_u_bits": 12818154,
          "minimum_v_bits": 12818152,
          "method": "coefficient lower-bound strips",
          "p_exponent_advance": 627194,
          "q_exponent_advance": 603501
        },
        {
          "p_exponent": 3763163,
          "q_exponent": 3621010,
          "p_power_bits": 15381789,
          "q_power_bits": 15381789,
          "minimum_u_bits": 15381782,
          "minimum_v_bits": 15381783,
          "method": "coefficient lower-bound strips",
          "p_exponent_advance": 752632,
          "q_exponent_advance": 724202
        },
        {
          "p_exponent": 4515795,
          "q_exponent": 4345212,
          "p_power_bits": 18458145,
          "q_power_bits": 18458146,
          "minimum_u_bits": 18458141,
          "minimum_v_bits": 18458139,
          "method": "coefficient lower-bound strips",
          "p_exponent_advance": 903159,
          "q_exponent_advance": 869042
        },
        {
          "p_exponent": 5418954,
          "q_exponent": 5214254,
          "p_power_bits": 22149774,
          "q_power_bits": 22149774,
          "minimum_u_bits": 22149764,
          "minimum_v_bits": 22149764,
          "method": "coefficient lower-bound strips",
          "p_exponent_advance": 1083790,
          "q_exponent_advance": 1042850
        },
        {
          "p_exponent": 6502744,
          "q_exponent": 6257104,
          "p_power_bits": 26579725,
          "q_power_bits": 26579725,
          "minimum_u_bits": 26579720,
          "minimum_v_bits": 26579720,
          "method": "coefficient lower-bound strips",
          "p_exponent_advance": 1300549,
          "q_exponent_advance": 1251421
        },
        {
          "p_exponent": 7803293,
          "q_exponent": 7508525,
          "p_power_bits": 31895671,
          "q_power_bits": 31895670,
          "minimum_u_bits": 31895665,
          "minimum_v_bits": 31895666,
          "method": "coefficient lower-bound strips",
          "p_exponent_advance": 1560658,
          "q_exponent_advance": 1501705
        },
        {
          "p_exponent": 9363951,
          "q_exponent": 9010230,
          "p_power_bits": 38274802,
          "q_power_bits": 38274804,
          "minimum_u_bits": 38274800,
          "minimum_v_bits": 38274798,
          "method": "coefficient lower-bound strips",
          "p_exponent_advance": 1872790,
          "q_exponent_advance": 1802046
        },
        {
          "p_exponent": 11236741,
          "q_exponent": 10812276,
          "p_power_bits": 45929762,
          "q_power_bits": 45929765,
          "minimum_u_bits": 45929759,
          "minimum_v_bits": 45929756,
          "method": "coefficient lower-bound strips",
          "p_exponent_advance": 2247348,
          "q_exponent_advance": 2162454
        },
        {
          "p_exponent": 13484089,
          "q_exponent": 12974730,
          "p_power_bits": 55115713,
          "q_power_bits": 55115713,
          "minimum_u_bits": 55115707,
          "minimum_v_bits": 55115707,
          "method": "coefficient lower-bound strips",
          "p_exponent_advance": 2696817,
          "q_exponent_advance": 2594946
        },
        {
          "p_exponent": 16180906,
          "q_exponent": 15569676,
          "p_power_bits": 66138853,
          "q_power_bits": 66138856,
          "minimum_u_bits": 66138850,
          "minimum_v_bits": 66138847,
          "method": "coefficient lower-bound strips",
          "p_exponent_advance": 3236181,
          "q_exponent_advance": 3113935
        },
        {
          "p_exponent": 19417087,
          "q_exponent": 18683611,
          "p_power_bits": 79366622,
          "q_power_bits": 79366626,
          "minimum_u_bits": 79366617,
          "minimum_v_bits": 79366614,
          "method": "coefficient lower-bound strips",
          "p_exponent_advance": 3883417,
          "q_exponent_advance": 3736721
        }
      ],
      "conclusion": "max(u,v)^5 >= min(p^a*u,q^b*v)^2 throughout the stated height range"
    }
  ]
}