Ruzsa’s genus-one problem

witness #2064

N
46,425
|A|
150
exponent log |A| / log N
0.4663
status
current record for this modulus
submitted by
Yongxi (Aaron) Lin
submitted at
2026-08-09 12:32:09 UTC

Elements (150)

0, 4, 9, 50, 54, 59, 125, 129, 134, 325, 329, 334, 400, 404, 409, 450, 454, 459, 5580, 5583, 5585, 5630, 5633, 5635, 5705, 5708, 5710, 5905, 5908, 5910, 5980, 5983, 5985, 6030, 6033, 6035, 7438, 7488, 7563, 7763, 7838, 7888, 9290, 9295, 9299, 9340, 9345, 9349, 9415, 9420, 9424, 9615, 9620, 9624, 9690, 9695, 9699, 9740, 9745, 9749, 14858, 14908, 14983, 15183, 15258, 15308, 16718, 16768, 16843, 17043, 17118, 17168, 18574, 18584, 18624, 18634, 18699, 18709, 18899, 18909, 18974, 18984, 19024, 19034, 24143, 24145, 24193, 24195, 24268, 24270, 24468, 24470, 24543, 24545, 24593, 24595, 26008, 26058, 26133, 26333, 26408, 26458, 33438, 33488, 33563, 33763, 33838, 33888, 35283, 35333, 35408, 35608, 35683, 35733, 37140, 37150, 37190, 37200, 37265, 37275, 37465, 37475, 37540, 37550, 37590, 37600, 42715, 42718, 42725, 42765, 42768, 42775, 42840, 42843, 42850, 43040, 43043, 43050, 43115, 43118, 43125, 43165, 43168, 43175, 44568, 44618, 44693, 44893, 44968, 45018

Commentary

First stable member q=1857 of the 150-point family extracted from witness 1645 at N=3725. Core width 14, amplified by T={0,2,5,13,16,18}.

last edited by Yongxi (Aaron) Lin at 2026-08-09 12:32:09 UTC · history

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