Ruzsa’s genus-one problem

witness #1840

N
16,875
|A|
100
exponent log |A| / log N
0.4731
status
current record for this modulus
submitted by
Yongxi (Aaron) Lin
submitted at
2026-08-08 19:13:59 UTC

Elements (100)

310, 335, 435, 460, 3683, 3693, 3695, 3708, 3718, 3720, 3808, 3818, 3820, 3833, 3843, 3845, 4355, 4359, 4364, 4370, 4380, 4384, 4389, 4395, 4480, 4484, 4489, 4495, 4505, 4509, 4514, 4520, 7058, 7065, 7083, 7090, 7183, 7190, 7208, 7215, 7735, 7739, 7740, 7760, 7764, 7765, 7860, 7864, 7865, 7885, 7889, 7890, 9088, 9093, 9113, 9118, 9213, 9218, 9238, 9243, 10438, 10443, 10445, 10463, 10468, 10470, 10563, 10568, 10570, 10588, 10593, 10595, 11109, 11124, 11134, 11149, 11234, 11249, 11259, 11274, 12473, 12498, 12598, 12623, 13810, 13835, 13935, 13960, 14500, 14525, 14625, 14650, 15838, 15848, 15863, 15873, 15963, 15973, 15988, 15998

Commentary

Movable-core continuation A=P+25*{0,1,5,6} from N=16900 to N=16875. Randomized inherited-block selection followed by exact whole-block refill recovered all 25 blocks in a small number of trials, giving 100 points.

last edited by Yongxi (Aaron) Lin at 2026-08-08 19:13:59 UTC · history

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