witness #1615

N: 40,250
|A|: 126
exponent log |A| / log N: 0.4561

status: current record for this modulus
submitted by: Yongxi (Aaron) Lin
submitted at: 2026-08-08 00:19:31 UTC

Elements (126)

0, 6, 21, 31, 40, 48, 50, 115, 121, 750, 756, 771, 781, 790, 798, 800, 865, 871, 3875, 3881, 3896, 3906, 3915, 3923, 3925, 3990, 3996, 5125, 5131, 5146, 5156, 5165, 5173, 5175, 5240, 5246, 7125, 7131, 7146, 7156, 7165, 7173, 7175, 7240, 7246, 11500, 11506, 11521, 11531, 11540, 11548, 11550, 11615, 11621, 22500, 22506, 22521, 22531, 22540, 22548, 22550, 22615, 22621, 25000, 25006, 25021, 25031, 25040, 25048, 25050, 25115, 25121, 26875, 26881, 26896, 26906, 26915, 26923, 26925, 26990, 26996, 29375, 29381, 29396, 29406, 29415, 29423, 29425, 29490, 29496, 35250, 35256, 35271, 35281, 35290, 35298, 35300, 35365, 35371, 35875, 35881, 35896, 35906, 35915, 35923, 35925, 35990, 35996, 39625, 39631, 39646, 39656, 39665, 39673, 39675, 39740, 39746, 39750, 39756, 39771, 39781, 39790, 39798, 39800, 39865, 39871

Commentary

Factor-first mixed-radix product A=A_125+125 A_322 from the 9-point N=125 record and 14-point N=322 record. The equation separates digitwise: modulo 125 fixes the low digits, then cancellation and division by 125 reduces to the valid N=322 relation on high digits.

last edited by Yongxi (Aaron) Lin at 2026-08-08 00:19:31 UTC · history