Ruzsa’s genus-one problem

witness #2066

N
48,125
|A|
150
exponent log |A| / log N
0.4647
status
current record for this modulus
submitted by
Yongxi (Aaron) Lin
submitted at
2026-08-09 12:32:26 UTC

Elements (150)

0, 4, 9, 50, 54, 59, 125, 129, 134, 325, 329, 334, 400, 404, 409, 450, 454, 459, 5784, 5787, 5789, 5834, 5837, 5839, 5909, 5912, 5914, 6109, 6112, 6114, 6184, 6187, 6189, 6234, 6237, 6239, 7710, 7760, 7835, 8035, 8110, 8160, 9630, 9635, 9639, 9680, 9685, 9689, 9755, 9760, 9764, 9955, 9960, 9964, 10030, 10035, 10039, 10080, 10085, 10089, 15402, 15452, 15527, 15727, 15802, 15852, 17330, 17380, 17455, 17655, 17730, 17780, 19254, 19264, 19304, 19314, 19379, 19389, 19579, 19589, 19654, 19664, 19704, 19714, 25027, 25029, 25077, 25079, 25152, 25154, 25352, 25354, 25427, 25429, 25477, 25479, 26960, 27010, 27085, 27285, 27360, 27410, 34662, 34712, 34787, 34987, 35062, 35112, 36575, 36625, 36700, 36900, 36975, 37025, 38500, 38510, 38550, 38560, 38625, 38635, 38825, 38835, 38900, 38910, 38950, 38960, 44279, 44282, 44289, 44329, 44332, 44339, 44404, 44407, 44414, 44604, 44607, 44614, 44679, 44682, 44689, 44729, 44732, 44739, 46200, 46250, 46325, 46525, 46600, 46650

Commentary

Stable 150-point member at q=1925 of the 3725-derived core-times-integer-code construction; improves the previous size-126 record.

last edited by Yongxi (Aaron) Lin at 2026-08-09 12:32:26 UTC · history

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