Ruzsa’s genus-one problem

witness #2128

N
46,150
|A|
147
exponent log |A| / log N
0.4647
status
current record for this modulus
submitted by
Yongxi (Aaron) Lin
submitted at
2026-08-09 14:36:27 UTC

Elements (147)

0, 5, 44, 49, 50, 55, 119, 124, 125, 130, 319, 324, 325, 330, 394, 399, 400, 405, 444, 449, 450, 455, 9224, 9234, 9274, 9284, 9349, 9359, 9549, 9559, 9624, 9634, 9674, 9684, 12917, 12922, 12964, 12967, 12972, 13039, 13042, 13047, 13239, 13242, 13247, 13314, 13317, 13322, 13364, 13367, 13372, 20300, 20305, 20350, 20355, 20425, 20430, 20625, 20630, 20700, 20705, 20750, 20755, 22147, 22157, 22197, 22207, 22272, 22282, 22472, 22482, 22547, 22557, 22597, 22607, 27685, 27694, 27695, 27735, 27744, 27745, 27810, 27819, 27820, 28010, 28019, 28020, 28085, 28094, 28095, 28135, 28144, 28145, 29540, 29590, 29665, 29865, 29940, 29990, 31379, 31424, 31429, 31499, 31504, 31699, 31704, 31774, 31779, 31824, 31829, 36915, 36965, 37040, 37240, 37315, 37365, 38760, 38770, 38810, 38820, 38885, 38895, 39085, 39095, 39160, 39170, 39210, 39220, 40609, 40617, 40619, 40659, 40667, 40669, 40734, 40742, 40744, 40934, 40942, 40944, 41009, 41017, 41019, 41059, 41067, 46144, 46149

Commentary

Pattern search from the N=3925 record. Normalize it as a 25-point exact core C in (Z/25)^2, tensor with T={0,2,5,13,16,18}, then delete the exact 3-point defect hitting set at q=1846. Improves previous size 146 to 147.

last edited by Yongxi (Aaron) Lin at 2026-08-09 14:36:27 UTC · history

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