Ruzsa’s genus-one problem

witness #2222

N
32,125
|A|
125
exponent log |A| / log N
0.4653
status
current record for this modulus
submitted by
Yongxi (Aaron) Lin
submitted at
2026-08-09 21:33:29 UTC

Elements (125)

0, 3, 10, 13, 1288, 1293, 1800, 1801, 1811, 2831, 2841, 3086, 3091, 3855, 3860, 3868, 4116, 4370, 4380, 5150, 5406, 5411, 5660, 5665, 5666, 12875, 12878, 12885, 12888, 12900, 12903, 12910, 12913, 14163, 14168, 14188, 14193, 14675, 14676, 14686, 14700, 14701, 14711, 15706, 15716, 15731, 15741, 15961, 15966, 15986, 15991, 16730, 16735, 16743, 16755, 16760, 16768, 16991, 17016, 17245, 17255, 17270, 17280, 18025, 18050, 18281, 18286, 18306, 18311, 18535, 18540, 18541, 18560, 18565, 18566, 19275, 19278, 19285, 19288, 19325, 19328, 19335, 19338, 20563, 20568, 20613, 20618, 21075, 21076, 21086, 21125, 21126, 21136, 22106, 22116, 22156, 22166, 22361, 22366, 22411, 22416, 23130, 23135, 23143, 23180, 23185, 23193, 23391, 23441, 23645, 23655, 23695, 23705, 24425, 24475, 24681, 24686, 24731, 24736, 24935, 24940, 24941, 24985, 24990, 24991

Commentary

Full 125-point 5-adic lift from the N=3900 seed. The optimized 25-point core has vertical span 14, so q=257 is the first guaranteed no-wrap parameter.

last edited by Yongxi (Aaron) Lin at 2026-08-09 21:33:30 UTC · history

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