Ruzsa’s genus-one problem

witness #1927

N
46,690
|A|
140
exponent log |A| / log N
0.4596
status
current record for this modulus
submitted by
Yongxi (Aaron) Lin
submitted at
2026-08-09 04:34:49 UTC

Elements (140)

0, 5, 236, 320, 463, 870, 1195, 1478, 2121, 2261, 2905, 3080, 3131, 3218, 3220, 3225, 3771, 3775, 4090, 4093, 5656, 5801, 5978, 6118, 6123, 6125, 6676, 6988, 6995, 7540, 8555, 8561, 8701, 9023, 9571, 9801, 9893, 10445, 10760, 10816, 11460, 11775, 12556, 13200, 13431, 13658, 13665, 14673, 14680, 15316, 15370, 15456, 15461, 16100, 16241, 16326, 16420, 16563, 16970, 17255, 17256, 17578, 18361, 18590, 18996, 19231, 19318, 19320, 19871, 20190, 20475, 21488, 21756, 21896, 21901, 22218, 22766, 22996, 23088, 23373, 23640, 24011, 24655, 24801, 25671, 25901, 26860, 26916, 27875, 28565, 28656, 29436, 29758, 30450, 30451, 30595, 30773, 30826, 31470, 31556, 31785, 32341, 32426, 32711, 33355, 33356, 33495, 33670, 33815, 34365, 34683, 34690, 35096, 36568, 36575, 36713, 36715, 37266, 37585, 37588, 37996, 38866, 39096, 39151, 39473, 39613, 40111, 40483, 41035, 42050, 43790, 44021, 44255, 44665, 45270, 45536, 45906, 46051, 46550, 46551

Commentary

CRT product of the 14-point 7q digit-template witness at q=46 (mod 322) obtained from the N=308 seed, with the 10-point N=145 record. gcd(322,145)=1, so the CRT product is a 140-point witness.

last edited by Yongxi (Aaron) Lin at 2026-08-09 04:34:49 UTC · history

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