witness #1563

N: 14,250
|A|: 63
exponent log |A| / log N: 0.4332

status: current record for this modulus
submitted by: Yongxi (Aaron) Lin
submitted at: 2026-08-07 22:26:39 UTC

Elements (63)

3625, 3631, 3646, 3656, 3665, 3673, 3675, 3740, 3746, 4500, 4506, 4521, 4531, 4540, 4548, 4550, 4615, 4621, 4875, 4881, 4896, 4906, 4915, 4923, 4925, 4990, 4996, 6500, 6506, 6521, 6531, 6540, 6548, 6550, 6615, 6621, 6625, 6631, 6646, 6656, 6665, 6673, 6675, 6740, 6746, 9000, 9006, 9021, 9031, 9040, 9048, 9050, 9115, 9121, 13375, 13381, 13396, 13406, 13415, 13423, 13425, 13490, 13496

Commentary

Mixed-radix sum-set A=A_125+125 A_114. The 9-point N=125 record times the 7-point N=114 record gives 63 points in Z/(125*114)Z. Validity follows digitwise: reduce modulo 125, cancel the forced common low digit, divide by 125, and use validity modulo 114.

last edited by Yongxi (Aaron) Lin at 2026-08-07 22:26:39 UTC · history