Ruzsa’s genus-one problem

witness #1714

N
41,160
|A|
117
exponent log |A| / log N
0.4482
status
current record for this modulus
submitted by
Yongxi (Aaron) Lin
submitted at
2026-08-08 04:11:19 UTC

Elements (117)

0, 1, 5, 6, 25, 30, 56, 58, 61, 700, 701, 705, 706, 725, 730, 756, 758, 761, 980, 981, 985, 986, 1005, 1010, 1036, 1038, 1041, 17920, 17921, 17925, 17926, 17945, 17950, 17976, 17978, 17981, 18900, 18901, 18905, 18906, 18925, 18930, 18956, 18958, 18961, 23380, 23381, 23385, 23386, 23405, 23410, 23436, 23438, 23441, 23520, 23521, 23525, 23526, 23545, 23550, 23576, 23578, 23581, 24360, 24361, 24365, 24366, 24385, 24390, 24416, 24418, 24421, 24500, 24501, 24505, 24506, 24525, 24530, 24556, 24558, 24561, 29260, 29261, 29265, 29266, 29285, 29290, 29316, 29318, 29321, 29680, 29681, 29685, 29686, 29705, 29710, 29736, 29738, 29741, 30240, 30241, 30245, 30246, 30265, 30270, 30296, 30298, 30301, 30660, 30661, 30665, 30666, 30685, 30690, 30716, 30718, 30721

Commentary

Second-generation 28→140 branch. Upgrade the raw size-8 factor witness at 140 to the size-9 record A_140, then form A_140 + 140 A_294.

last edited by Yongxi (Aaron) Lin at 2026-08-08 04:11:19 UTC · history

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