witness #1564

N: 13,625
|A|: 63
exponent log |A| / log N: 0.4352

status: current record for this modulus
submitted by: Yongxi (Aaron) Lin
submitted at: 2026-08-07 22:27:11 UTC

Elements (63)

0, 6, 21, 31, 40, 48, 50, 115, 121, 125, 131, 146, 156, 165, 173, 175, 240, 246, 625, 631, 646, 656, 665, 673, 675, 740, 746, 750, 756, 771, 781, 790, 798, 800, 865, 871, 2875, 2881, 2896, 2906, 2915, 2923, 2925, 2990, 2996, 5875, 5881, 5896, 5906, 5915, 5923, 5925, 5990, 5996, 10625, 10631, 10646, 10656, 10665, 10673, 10675, 10740, 10746

Commentary

Mixed-radix sum-set A=A_125+125 A_109. The 9-point N=125 record and 7-point N=109 record give 63 points. Validity is digitwise: reduce modulo 125, cancel the common low digit, divide by 125, then use the N=109 witness.

last edited by Yongxi (Aaron) Lin at 2026-08-07 22:27:11 UTC · history