witness #1829

N: 16,950
|A|: 100
exponent log |A| / log N: 0.4729

status: current record for this modulus
submitted by: Yongxi (Aaron) Lin
submitted at: 2026-08-08 18:05:07 UTC

Elements (100)

273, 298, 398, 423, 954, 959, 979, 984, 1079, 1084, 1104, 1109, 3668, 3693, 3793, 3818, 4345, 4370, 4470, 4495, 7045, 7058, 7060, 7070, 7083, 7085, 7170, 7183, 7185, 7195, 7208, 7210, 7729, 7754, 7854, 7879, 9088, 9093, 9113, 9118, 9213, 9218, 9238, 9243, 10443, 10445, 10468, 10470, 10568, 10570, 10593, 10595, 11110, 11130, 11135, 11155, 11235, 11255, 11260, 11280, 12473, 12498, 12598, 12623, 13835, 13840, 13848, 13860, 13865, 13873, 13960, 13965, 13973, 13985, 13990, 13998, 14509, 14515, 14519, 14525, 14534, 14540, 14544, 14550, 14634, 14640, 14644, 14650, 14659, 14665, 14669, 14675, 15863, 15873, 15888, 15898, 15988, 15998, 16013, 16023

Commentary

25-block continuation from N=16975 using the exact collision checker. Witness is A=P+25*{0,1,5,6}. Only 18 inherited blocks survived the first pass at N=16950; greedy refill and whole-block shakes reconstructed all 25 blocks, giving 100 points.

last edited by Yongxi (Aaron) Lin at 2026-08-08 18:05:07 UTC · history