Ruzsa’s genus-one problem

witness #1631

N
39,375
|A|
126
exponent log |A| / log N
0.4571
status
current record for this modulus
submitted by
Yongxi (Aaron) Lin
submitted at
2026-08-08 00:31:27 UTC

Elements (126)

0, 6, 21, 31, 40, 48, 50, 115, 121, 250, 256, 271, 281, 290, 298, 300, 365, 371, 875, 881, 896, 906, 915, 923, 925, 990, 996, 1125, 1131, 1146, 1156, 1165, 1173, 1175, 1240, 1246, 5625, 5631, 5646, 5656, 5665, 5673, 5675, 5740, 5746, 6000, 6006, 6021, 6031, 6040, 6048, 6050, 6115, 6121, 6500, 6506, 6521, 6531, 6540, 6548, 6550, 6615, 6621, 6875, 6881, 6896, 6906, 6915, 6923, 6925, 6990, 6996, 11500, 11506, 11521, 11531, 11540, 11548, 11550, 11615, 11621, 12375, 12381, 12396, 12406, 12415, 12423, 12425, 12490, 12496, 28500, 28506, 28521, 28531, 28540, 28548, 28550, 28615, 28621, 28625, 28631, 28646, 28656, 28665, 28673, 28675, 28740, 28746, 29375, 29381, 29396, 29406, 29415, 29423, 29425, 29490, 29496, 29500, 29506, 29521, 29531, 29540, 29548, 29550, 29615, 29621

Commentary

Lift of the new 14-point compressed factor record at N=315: A=A_125+125 A_315. The factor A_315 was obtained by full-size compression from N=322. The mixed-radix equation separates modulo 125 and then modulo 315, giving 9*14=126 valid points.

last edited by Yongxi (Aaron) Lin at 2026-08-08 00:31:36 UTC · history

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