Ruzsa’s genus-one problem

witness #2174

N
38,850
|A|
125
exponent log |A| / log N
0.4569
status
current record for this modulus
submitted by
Yongxi (Aaron) Lin
submitted at
2026-08-09 17:34:03 UTC

Elements (125)

0, 1, 6, 10, 25, 26, 31, 35, 150, 151, 156, 160, 175, 176, 181, 185, 375, 376, 381, 385, 4662, 4665, 4670, 4672, 4687, 4690, 4695, 4697, 4812, 4815, 4820, 4822, 4837, 4840, 4845, 4847, 5037, 5040, 5045, 5047, 6217, 6227, 6242, 6252, 6367, 6377, 6392, 6402, 6592, 6602, 7780, 7781, 7805, 7806, 7930, 7931, 7955, 7956, 8155, 8156, 12432, 12445, 12457, 12470, 12582, 12595, 12607, 12620, 12807, 12820, 13987, 13992, 14012, 14017, 14137, 14142, 14162, 14167, 14362, 14367, 15540, 15541, 15545, 15551, 15565, 15566, 15570, 15576, 15690, 15691, 15695, 15701, 15715, 15716, 15720, 15726, 15915, 15916, 15920, 15926, 20205, 20207, 20212, 20215, 20230, 20232, 20237, 20240, 20355, 20357, 20362, 20365, 20380, 20382, 20387, 20390, 20580, 20582, 20587, 20590, 29537, 29562, 29687, 29712, 29912

Commentary

Same N=3625-derived 25-point exact core after coordinate swap (vertical span 13), tensored with T={0,1,6,7,15}. Since total vertical span is 13+25*15=388, the no-wrap argument proves 125 points for every q>=1553. This is q=1554.

last edited by Yongxi (Aaron) Lin at 2026-08-09 17:34:04 UTC · history

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