Ruzsa’s genus-one problem

witness #1846

N
16,725
|A|
100
exponent log |A| / log N
0.4736
status
current record for this modulus
submitted by
Yongxi (Aaron) Lin
submitted at
2026-08-08 19:24:43 UTC

Elements (100)

1039, 1044, 1064, 1069, 1164, 1169, 1189, 1194, 2373, 2378, 2398, 2403, 2498, 2503, 2523, 2528, 3718, 3720, 3723, 3730, 3743, 3745, 3748, 3755, 3843, 3845, 3848, 3855, 3868, 3870, 3873, 3880, 4380, 4384, 4385, 4394, 4405, 4409, 4410, 4419, 4505, 4509, 4510, 4519, 4530, 4534, 4535, 4544, 5733, 5758, 5858, 5883, 7060, 7063, 7065, 7073, 7085, 7088, 7090, 7098, 7185, 7188, 7190, 7198, 7210, 7213, 7215, 7223, 7725, 7735, 7750, 7760, 7850, 7860, 7875, 7885, 9073, 9083, 9098, 9108, 9198, 9208, 9223, 9233, 11084, 11109, 11209, 11234, 13750, 13763, 13775, 13788, 13875, 13888, 13900, 13913, 14425, 14450, 14550, 14575

Commentary

Movable-core continuation A=P+25*{0,1,5,6} from N=16750 to N=16725. Initial search reached 24 blocks; an accelerated 4-block shake restored a full 25-block / 100-point code.

last edited by Yongxi (Aaron) Lin at 2026-08-08 19:24:43 UTC · history

Log in to add commentary.