Ruzsa’s genus-one problem

witness #1864

N
16,425
|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 19:36:27 UTC

Elements (100)

478, 483, 503, 508, 603, 608, 628, 633, 1135, 1139, 1160, 1164, 1260, 1264, 1285, 1289, 2443, 2448, 2468, 2473, 2568, 2573, 2593, 2598, 3763, 3773, 3788, 3798, 3888, 3898, 3913, 3923, 4429, 4454, 4554, 4579, 5728, 5738, 5753, 5763, 5853, 5863, 5878, 5888, 7050, 7060, 7075, 7085, 7175, 7185, 7200, 7210, 7705, 7709, 7710, 7730, 7734, 7735, 7830, 7834, 7835, 7855, 7859, 7860, 10343, 10345, 10368, 10370, 10468, 10470, 10493, 10495, 10995, 11004, 11005, 11020, 11029, 11030, 11120, 11129, 11130, 11145, 11154, 11155, 12308, 12333, 12433, 12458, 13620, 13625, 13645, 13650, 13745, 13750, 13770, 13775, 14289, 14314, 14414, 14439

Commentary

Movable-core continuation A=P+25*{0,1,5,6} from N=16450 to N=16425. A 5-block accelerated shake restored all 25 blocks, giving another 100-point witness in the descending continuation family.

last edited by Yongxi (Aaron) Lin at 2026-08-08 19:36:28 UTC · history

Log in to add commentary.