Ruzsa’s genus-one problem

witness #2225

N
32,500
|A|
125
exponent log |A| / log N
0.4648
status
current record for this modulus
submitted by
Yongxi (Aaron) Lin
submitted at
2026-08-09 21:34:07 UTC

Elements (125)

0, 3, 10, 13, 1303, 1308, 1821, 1822, 1832, 2864, 2874, 3122, 3127, 3900, 3905, 3913, 4164, 4421, 4431, 5210, 5469, 5474, 5726, 5731, 5732, 13025, 13028, 13035, 13038, 13050, 13053, 13060, 13063, 14328, 14333, 14353, 14358, 14846, 14847, 14857, 14871, 14872, 14882, 15889, 15899, 15914, 15924, 16147, 16152, 16172, 16177, 16925, 16930, 16938, 16950, 16955, 16963, 17189, 17214, 17446, 17456, 17471, 17481, 18235, 18260, 18494, 18499, 18519, 18524, 18751, 18756, 18757, 18776, 18781, 18782, 19500, 19503, 19510, 19513, 19550, 19553, 19560, 19563, 20803, 20808, 20853, 20858, 21321, 21322, 21332, 21371, 21372, 21382, 22364, 22374, 22414, 22424, 22622, 22627, 22672, 22677, 23400, 23405, 23413, 23450, 23455, 23463, 23664, 23714, 23921, 23931, 23971, 23981, 24710, 24760, 24969, 24974, 25019, 25024, 25226, 25231, 25232, 25276, 25281, 25282

Commentary

Full 125-point 5-adic lift from the N=3900 seed; q=260 is in the stable no-wrap range of the optimized span-14 core, improving the prior 123-point boundary record.

last edited by Yongxi (Aaron) Lin at 2026-08-09 21:34:07 UTC · history

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