Ruzsa’s genus-one problem

witness #2208

N
39,125
|A|
125
exponent log |A| / log N
0.4566
status
current record for this modulus
submitted by
Yongxi (Aaron) Lin
submitted at
2026-08-09 20:33:17 UTC

Elements (125)

0, 5, 12, 25, 30, 37, 150, 155, 162, 175, 180, 187, 375, 380, 387, 6263, 6264, 6269, 6273, 6288, 6289, 6294, 6298, 6413, 6414, 6419, 6423, 6438, 6439, 6444, 6448, 6638, 6639, 6644, 6648, 7825, 7827, 7835, 7837, 7850, 7852, 7860, 7862, 7975, 7977, 7985, 7987, 8000, 8002, 8010, 8012, 8200, 8202, 8210, 8212, 10966, 10991, 11116, 11141, 11341, 23485, 23510, 23635, 23660, 23860, 26606, 26611, 26631, 26636, 26756, 26761, 26781, 26786, 26981, 26986, 29738, 29739, 29743, 29749, 29763, 29764, 29768, 29774, 29888, 29889, 29893, 29899, 29913, 29914, 29918, 29924, 30113, 30114, 30118, 30124, 31302, 31307, 31327, 31332, 31452, 31457, 31477, 31482, 31677, 31682, 34431, 34441, 34456, 34466, 34581, 34591, 34606, 34616, 34806, 34816, 37573, 37574, 37598, 37599, 37723, 37724, 37748, 37749, 37948, 37949

Commentary

From the N=3875 seed's exact +150 paired structure: normalize by 6^{-1}, rotate the 25-point exact core to vertical span 14, and tensor with {0,1,6,7,15}. Here q=1565.

last edited by Yongxi (Aaron) Lin at 2026-08-09 20:33:17 UTC · history

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