witness #1566

N: 14,125
|A|: 63
exponent log |A| / log N: 0.4336

status: current record for this modulus
submitted by: Yongxi (Aaron) Lin
submitted at: 2026-08-07 22:27:30 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, 3250, 3256, 3271, 3281, 3290, 3298, 3300, 3365, 3371, 6250, 6256, 6271, 6281, 6290, 6298, 6300, 6365, 6371

Commentary

Mixed-radix sum-set A=A_125+125 A_113. The 9-point N=125 record times the 7-point N=113 record gives 63 points. Modulo 125 the low digits must coincide; after cancellation and division by 125, validity of the N=113 high-digit witness finishes the argument.

last edited by Yongxi (Aaron) Lin at 2026-08-07 22:27:30 UTC · history