witness #1570

N: 11,125
|A|: 54
exponent log |A| / log N: 0.4281

status: current record for this modulus
submitted by: Yongxi (Aaron) Lin
submitted at: 2026-08-07 22:28:49 UTC

Elements (54)

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, 3125, 3131, 3146, 3156, 3165, 3173, 3175, 3240, 3246, 8750, 8756, 8771, 8781, 8790, 8798, 8800, 8865, 8871

Commentary

Mixed-radix sum-set A=A_125+125 A_89. The 9-point N=125 record times the 6-point N=89 record gives 54 points. Validity follows digitwise: modulo 125 fixes the low digits, and after cancellation/division by 125 the N=89 witness fixes the high digits.

last edited by Yongxi (Aaron) Lin at 2026-08-07 22:28:49 UTC · history