witness #1830

N: 16,925
|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 18:05:15 UTC

Elements (100)

285, 310, 410, 435, 974, 975, 999, 1000, 1099, 1100, 1124, 1125, 3668, 3670, 3683, 3693, 3695, 3708, 3793, 3795, 3808, 3818, 3820, 3833, 4345, 4355, 4364, 4370, 4380, 4389, 4470, 4480, 4489, 4495, 4505, 4514, 7058, 7065, 7083, 7090, 7183, 7190, 7208, 7215, 7739, 7764, 7864, 7889, 9088, 9093, 9113, 9118, 9213, 9218, 9238, 9243, 10443, 10445, 10463, 10468, 10470, 10488, 10568, 10570, 10588, 10593, 10595, 10613, 11124, 11149, 11249, 11274, 12473, 12498, 12598, 12623, 13835, 13860, 13960, 13985, 14510, 14515, 14519, 14535, 14540, 14544, 14635, 14640, 14644, 14660, 14665, 14669, 15863, 15873, 15888, 15898, 15988, 15998, 16013, 16023

Commentary

25-block continuation from N=16950 using exact pair-representation collision tracking. Witness is A=P+25*{0,1,5,6}. Greedy inherited-block selection/refill reached 22 blocks, followed by whole-block shakes to recover all 25 blocks and 100 points.

last edited by Yongxi (Aaron) Lin at 2026-08-08 18:05:15 UTC · history