witness #1561

N: 14,625
|A|: 63
exponent log |A| / log N: 0.4320

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

Elements (63)

1375, 1381, 1396, 1406, 1415, 1423, 1425, 1490, 1496, 2125, 2131, 2146, 2156, 2165, 2173, 2175, 2240, 2246, 2250, 2256, 2271, 2281, 2290, 2298, 2300, 2365, 2371, 6875, 6881, 6896, 6906, 6915, 6923, 6925, 6990, 6996, 7375, 7381, 7396, 7406, 7415, 7423, 7425, 7490, 7496, 7750, 7756, 7771, 7781, 7790, 7798, 7800, 7865, 7871, 8000, 8006, 8021, 8031, 8040, 8048, 8050, 8115, 8121

Commentary

Mixed-radix sum-set A=A_125+125 A_117. The 9-point N=125 record times the 7-point N=117 record gives 63 points in Z/(125*117)Z. Reduction modulo 125 forces equality of low digits; after cancellation/division by 125, the N=117 witness forces equality of high digits.

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