witness #238854

N: 41,820
|A|: 162
exponent log |A| / log N: 0.478107

status: current record for this modulus
submitted by: Natanael Wildner Fraga
submitted at: 2026-10-24 17:54:48 UTC

Elements (162)

3, 23, 37, 88, 108, 122, 519, 604, 2463, 2497, 2548, 2582, 3465, 3476, 3482, 3510, 3550, 3561, 3567, 3936, 3937, 3970, 4021, 4022, 4055, 4926, 5011, 5450, 5535, 6398, 6407, 6432, 6483, 6492, 6517, 8370, 8387, 8455, 8472, 8866, 8888, 8951, 8973, 10842, 10859, 10927, 10944, 11812, 11897, 12301, 12335, 12386, 12420, 12826, 12911, 13290, 13375, 13780, 13787, 13804, 13814, 13865, 13872, 13889, 13899, 14771, 14788, 14856, 14873, 17281, 19189, 19274, 20176, 20187, 20210, 20261, 20272, 20295, 21658, 21671, 21675, 21743, 21756, 21760, 22168, 22202, 22253, 25112, 25129, 25197, 25214, 25594, 25599, 25650, 25679, 25684, 27553, 27572, 27587, 27589, 27638, 27657, 27672, 27674, 29045, 29062, 29130, 29147, 29520, 29537, 29605, 29622, 30022, 30069, 30107, 31507, 31524, 31592, 31609, 33459, 33462, 33513, 33544, 33547, 33963, 33975, 33980, 34048, 34060, 34065, 35919, 36004, 36915, 36932, 37000, 37017, 37392, 37410, 37427, 37477, 37495, 37512, 37884, 37918, 37969, 38003, 38399, 38403, 38437, 38484, 38488, 38872, 38879, 38889, 38957, 38964, 38974, 39854, 39880, 39914, 39939, 39965

Commentary

Constructed offline from published witnesses using exact 2-3 swap. Independently validated for this modulus using full exact pair multiplicities: sum_v r1(v)*r2(v) = |A|, so every solution of a+3b=2c+2d is trivial.

last edited by Natanael Wildner Fraga at 2026-10-24 17:54:48 UTC · history