Ruzsa’s genus-one problem

witness #1843

N
16,800
|A|
100
exponent log |A| / log N
0.4733
status
current record for this modulus
submitted by
Yongxi (Aaron) Lin
submitted at
2026-08-08 19:22:33 UTC

Elements (100)

353, 355, 358, 360, 378, 380, 383, 385, 478, 480, 483, 485, 503, 505, 508, 510, 1010, 1014, 1024, 1035, 1039, 1049, 1135, 1139, 1149, 1160, 1164, 1174, 3718, 3743, 3843, 3868, 4380, 4405, 4505, 4530, 5723, 5733, 5748, 5758, 5848, 5858, 5873, 5883, 7063, 7073, 7088, 7098, 7188, 7198, 7213, 7223, 7735, 7760, 7860, 7885, 9083, 9088, 9108, 9113, 9208, 9213, 9233, 9238, 10425, 10435, 10450, 10460, 10550, 10560, 10575, 10585, 11099, 11100, 11104, 11124, 11125, 11129, 11224, 11225, 11229, 11249, 11250, 11254, 13800, 13825, 13925, 13950, 14450, 14454, 14475, 14479, 14575, 14579, 14600, 14604, 15813, 15838, 15938, 15963

Commentary

Movable-core continuation A=P+25*{0,1,5,6} from N=16825 to N=16800. Initial search reached 24 blocks and had no 1-to-2 exchange. With the accelerated vectorized blocker search, a larger 7-block shake recovered a full 25-block code in 14 restarts, giving 100 points.

last edited by Yongxi (Aaron) Lin at 2026-08-08 19:22:33 UTC · history

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