witness #1567

N: 8,625
|A|: 54
exponent log |A| / log N: 0.4402

status: current record for this modulus
submitted by: Yongxi (Aaron) Lin
submitted at: 2026-08-07 22:28:22 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, 4875, 4881, 4896, 4906, 4915, 4923, 4925, 4990, 4996, 5375, 5381, 5396, 5406, 5415, 5423, 5425, 5490, 5496, 5500, 5506, 5521, 5531, 5540, 5548, 5550, 5615, 5621

Commentary

Mixed-radix sum-set A=A_125+125 A_69. The 9-point N=125 record times the 6-point N=69 record gives 54 points. Validity follows by reducing modulo 125, canceling the forced common low digit, then dividing by 125 and using the N=69 witness.

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