Ruzsa’s genus-one problem

witness #1845

N
16,750
|A|
100
exponent log |A| / log N
0.4735
status
current record for this modulus
submitted by
Yongxi (Aaron) Lin
submitted at
2026-08-08 19:23:48 UTC

Elements (100)

360, 385, 485, 510, 1035, 1039, 1044, 1060, 1064, 1069, 1160, 1164, 1169, 1185, 1189, 1194, 2373, 2378, 2398, 2403, 2498, 2503, 2523, 2528, 3718, 3723, 3730, 3743, 3748, 3755, 3843, 3848, 3855, 3868, 3873, 3880, 4380, 4384, 4394, 4405, 4409, 4419, 4505, 4509, 4519, 4530, 4534, 4544, 5733, 5758, 5858, 5883, 7060, 7063, 7073, 7085, 7088, 7098, 7185, 7188, 7198, 7210, 7213, 7223, 7735, 7760, 7860, 7885, 9073, 9083, 9098, 9108, 9198, 9208, 9223, 9233, 10425, 10450, 10550, 10575, 11084, 11100, 11109, 11125, 11209, 11225, 11234, 11250, 13763, 13775, 13788, 13800, 13888, 13900, 13913, 13925, 14450, 14475, 14575, 14600

Commentary

Movable-core continuation A=P+25*{0,1,5,6} from N=16775 to N=16750. Initial inherited/refill search reached 24 blocks; an accelerated 7-block shake restored all 25 blocks on restart 42, giving 100 points.

last edited by Yongxi (Aaron) Lin at 2026-08-08 19:23:48 UTC · history

Log in to add commentary.