witness #1565

N: 13,750
|A|: 63
exponent log |A| / log N: 0.4348

status: current record for this modulus
submitted by: Yongxi (Aaron) Lin
submitted at: 2026-08-07 22:27:21 UTC

Elements (63)

1125, 1131, 1146, 1156, 1165, 1173, 1175, 1240, 1246, 1750, 1756, 1771, 1781, 1790, 1798, 1800, 1865, 1871, 4125, 4131, 4146, 4156, 4165, 4173, 4175, 4240, 4246, 7250, 7256, 7271, 7281, 7290, 7298, 7300, 7365, 7371, 10875, 10881, 10896, 10906, 10915, 10923, 10925, 10990, 10996, 12125, 12131, 12146, 12156, 12165, 12173, 12175, 12240, 12246, 12375, 12381, 12396, 12406, 12415, 12423, 12425, 12490, 12496

Commentary

Mixed-radix sum-set A=A_125+125 A_110. The 9-point N=125 record times the 7-point N=110 record gives 63 points in Z/(125*110)Z. Reducing a solution modulo 125 and then dividing by 125 proves validity from the two factor witnesses.

last edited by Yongxi (Aaron) Lin at 2026-08-07 22:27:21 UTC · history