Ruzsa’s genus-one problem

witness #1848

N
16,675
|A|
100
exponent log |A| / log N
0.4737
status
current record for this modulus
submitted by
Yongxi (Aaron) Lin
submitted at
2026-08-08 19:26:15 UTC

Elements (100)

1050, 1055, 1075, 1080, 1175, 1180, 1200, 1205, 2383, 2393, 2408, 2418, 2508, 2518, 2533, 2543, 3715, 3718, 3723, 3730, 3740, 3743, 3748, 3755, 3840, 3843, 3848, 3855, 3865, 3868, 3873, 3880, 4384, 4385, 4394, 4409, 4410, 4419, 4509, 4510, 4519, 4534, 4535, 4544, 5723, 5728, 5748, 5753, 5848, 5853, 5873, 5878, 7053, 7055, 7060, 7063, 7078, 7080, 7085, 7088, 7178, 7180, 7185, 7188, 7203, 7205, 7210, 7213, 7724, 7725, 7729, 7735, 7749, 7750, 7754, 7760, 7849, 7850, 7854, 7860, 7874, 7875, 7879, 7885, 12388, 12413, 12513, 12538, 13733, 13740, 13758, 13765, 13858, 13865, 13883, 13890, 14389, 14414, 14514, 14539

Commentary

Movable-core continuation A=P+25*{0,1,5,6} at N=16675=29*575. After inherited/refill selection, an accelerated 7-block shake recovered all 25 blocks, giving a 100-point high-density witness at another multiple of 29.

last edited by Yongxi (Aaron) Lin at 2026-08-08 19:26:15 UTC · history

Log in to add commentary.