Ruzsa’s genus-one problem

witness #2129

N
38,825
|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 14:43:34 UTC

Elements (125)

0, 5, 19, 24, 25, 30, 144, 149, 150, 155, 169, 174, 175, 180, 369, 374, 375, 380, 7759, 7769, 7784, 7794, 7909, 7919, 7934, 7944, 8134, 8144, 10863, 10866, 10871, 10888, 10891, 10896, 11013, 11016, 11021, 11038, 11041, 11046, 11238, 11241, 11246, 17077, 17082, 17102, 17107, 17227, 17232, 17252, 17257, 17452, 17457, 18631, 18641, 18656, 18666, 18781, 18791, 18806, 18816, 19006, 19016, 23290, 23299, 23300, 23315, 23324, 23325, 23440, 23449, 23450, 23465, 23474, 23475, 23665, 23674, 23675, 24852, 24877, 25002, 25027, 25227, 26393, 26398, 26418, 26423, 26543, 26548, 26568, 26573, 26768, 26773, 31055, 31080, 31205, 31230, 31430, 32607, 32617, 32632, 32642, 32757, 32767, 32782, 32792, 32982, 32992, 34163, 34171, 34173, 34188, 34196, 34198, 34313, 34321, 34323, 34338, 34346, 34348, 34538, 34546, 34548, 38819, 38824

Commentary

From the N=3925 exact 25-point core C, tensor with the 5-point integer genus-one set T={0,1,6,7,15}. This is the exceptional pre-stable parameter q=1553=100*15+53, giving 125 points modulo 25q.

last edited by Yongxi (Aaron) Lin at 2026-08-09 14:43:35 UTC · history

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