Ruzsa’s genus-one problem

witness #1839

N
16,900
|A|
100
exponent log |A| / log N
0.4730
status
current record for this modulus
submitted by
Yongxi (Aaron) Lin
submitted at
2026-08-08 19:12:15 UTC

Elements (100)

310, 335, 435, 460, 975, 1000, 1100, 1125, 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, 7739, 7764, 7864, 7889, 9088, 9093, 9113, 9118, 9213, 9218, 9238, 9243, 10438, 10443, 10445, 10463, 10468, 10470, 10563, 10568, 10570, 10588, 10593, 10595, 11124, 11134, 11149, 11159, 11249, 11259, 11274, 11284, 12473, 12498, 12598, 12623, 13835, 13860, 13960, 13985, 14510, 14515, 14535, 14540, 14635, 14640, 14660, 14665, 15848, 15863, 15873, 15888, 15973, 15988, 15998, 16013

Commentary

Continuation of the movable-core construction A=P+25*{0,1,5,6} from N=16925 to N=16900. Randomized inherited-block selection/refill first reached 24 blocks. Exhaustive one-block deletion found a 1-to-2 exchange: delete anchor 3668 and insert anchors 3693 and 11134, restoring all 25 blocks and 100 points.

last edited by Yongxi (Aaron) Lin at 2026-08-08 19:12:15 UTC · history

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