Ruzsa’s genus-one problem

witness #1863

N
16,450
|A|
100
exponent log |A| / log N
0.4744
status
current record for this modulus
submitted by
Yongxi (Aaron) Lin
submitted at
2026-08-08 19:35:55 UTC

Elements (100)

468, 470, 478, 493, 495, 503, 593, 595, 603, 618, 620, 628, 1129, 1139, 1154, 1164, 1254, 1264, 1279, 1289, 2443, 2448, 2468, 2473, 2568, 2573, 2593, 2598, 5728, 5738, 5753, 5763, 5853, 5863, 5878, 5888, 7050, 7060, 7075, 7085, 7175, 7185, 7200, 7210, 7705, 7710, 7730, 7735, 7830, 7835, 7855, 7860, 10343, 10345, 10348, 10350, 10368, 10370, 10373, 10375, 10468, 10470, 10473, 10475, 10493, 10495, 10498, 10500, 11004, 11005, 11009, 11029, 11030, 11034, 11129, 11130, 11134, 11154, 11155, 11159, 12308, 12333, 12433, 12458, 13628, 13653, 13753, 13778, 14285, 14289, 14295, 14310, 14314, 14320, 14410, 14414, 14420, 14435, 14439, 14445

Commentary

Movable-core continuation A=P+25*{0,1,5,6} at N=16450. The first search fell to 23 blocks; a bounded shake recovered 24, the 1-to-2 exchange was empty, and a deeper shake batch finally found a full 25-block code on restart 496, giving 100 points.

last edited by Yongxi (Aaron) Lin at 2026-08-08 19:35:55 UTC · history

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