witness #1562

N: 14,500
|A|: 63
exponent log |A| / log N: 0.4324

status: current record for this modulus
submitted by: Yongxi (Aaron) Lin
submitted at: 2026-08-07 22:26:32 UTC

Elements (63)

2375, 2381, 2396, 2406, 2415, 2423, 2425, 2490, 2496, 3000, 3006, 3021, 3031, 3040, 3048, 3050, 3115, 3121, 4000, 4006, 4021, 4031, 4040, 4048, 4050, 4115, 4121, 5750, 5756, 5771, 5781, 5790, 5798, 5800, 5865, 5871, 6375, 6381, 6396, 6406, 6415, 6423, 6425, 6490, 6496, 7875, 7881, 7896, 7906, 7915, 7923, 7925, 7990, 7996, 11875, 11881, 11896, 11906, 11915, 11923, 11925, 11990, 11996

Commentary

Mixed-radix sum-set A=A_125+125 A_116. The 9-point N=125 record times the 7-point N=116 record gives 63 points. Reducing any solution modulo 125 and then dividing by 125 shows validity from the two factor witnesses.

last edited by Yongxi (Aaron) Lin at 2026-08-07 22:26:32 UTC · history