Ruzsa’s genus-one problem

witness #1841

N
16,850
|A|
100
exponent log |A| / log N
0.4732
status
current record for this modulus
submitted by
Yongxi (Aaron) Lin
submitted at
2026-08-08 19:18:55 UTC

Elements (100)

320, 325, 333, 345, 350, 358, 445, 450, 458, 470, 475, 483, 989, 994, 1014, 1019, 1114, 1119, 1139, 1144, 3685, 3695, 3710, 3720, 3810, 3820, 3835, 3845, 4355, 4370, 4380, 4395, 4480, 4495, 4505, 4520, 7058, 7063, 7083, 7088, 7183, 7188, 7208, 7213, 7735, 7740, 7760, 7765, 7860, 7865, 7885, 7890, 9083, 9088, 9108, 9113, 9208, 9213, 9233, 9238, 10423, 10425, 10438, 10448, 10450, 10463, 10548, 10550, 10563, 10573, 10575, 10588, 11099, 11109, 11124, 11134, 11224, 11234, 11249, 11259, 12458, 12483, 12583, 12608, 14475, 14479, 14500, 14504, 14600, 14604, 14625, 14629, 15823, 15838, 15848, 15863, 15948, 15963, 15973, 15988

Commentary

Movable-core continuation A=P+25*{0,1,5,6} to N=16850. A first pass reached 24 blocks and had no 1-to-2 fixed-core exchange. After vectorizing the blocker test, a large whole-block shake (13 blocks replaced) found a full 25-block code in six trials, giving 100 points.

last edited by Yongxi (Aaron) Lin at 2026-08-08 19:18:55 UTC · history

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