Ruzsa’s genus-one problem

witness #1842

N
16,825
|A|
100
exponent log |A| / log N
0.4733
status
current record for this modulus
submitted by
Yongxi (Aaron) Lin
submitted at
2026-08-08 19:21:14 UTC

Elements (100)

330, 333, 335, 355, 358, 360, 455, 458, 460, 480, 483, 485, 1010, 1014, 1019, 1035, 1039, 1044, 1135, 1139, 1144, 1160, 1164, 1169, 4380, 4405, 4505, 4530, 7058, 7063, 7083, 7088, 7183, 7188, 7208, 7213, 7735, 7760, 7860, 7885, 9083, 9088, 9108, 9113, 9208, 9213, 9233, 9238, 10423, 10425, 10435, 10438, 10448, 10450, 10460, 10463, 10548, 10550, 10560, 10563, 10573, 10575, 10585, 10588, 11099, 11100, 11109, 11124, 11125, 11134, 11224, 11225, 11234, 11249, 11250, 11259, 12458, 12483, 12583, 12608, 13800, 13825, 13925, 13950, 14475, 14479, 14500, 14504, 14600, 14604, 14625, 14629, 15813, 15823, 15838, 15848, 15938, 15948, 15963, 15973

Commentary

Movable-core continuation A=P+25*{0,1,5,6} from N=16850 to N=16825. Initial inherited/refill search reached 24 blocks; the accelerated exact block-shake search recovered all 25 blocks via an 8-block rearrangement, giving 100 points.

last edited by Yongxi (Aaron) Lin at 2026-08-08 19:21:14 UTC · history

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