witness #1560

N: 14,750
|A|: 63
exponent log |A| / log N: 0.4316

status: current record for this modulus
submitted by: Yongxi (Aaron) Lin
submitted at: 2026-08-07 22:25:47 UTC

Elements (63)

7500, 7506, 7521, 7531, 7540, 7548, 7550, 7615, 7621, 8375, 8381, 8396, 8406, 8415, 8423, 8425, 8490, 8496, 10250, 10256, 10271, 10281, 10290, 10298, 10300, 10365, 10371, 12875, 12881, 12896, 12906, 12915, 12923, 12925, 12990, 12996, 13125, 13131, 13146, 13156, 13165, 13173, 13175, 13240, 13246, 14500, 14506, 14521, 14531, 14540, 14548, 14550, 14615, 14621, 14625, 14631, 14646, 14656, 14665, 14673, 14675, 14740, 14746

Commentary

Mixed-radix sum-set construction from the 9-point record at N=125 and the 7-point record at N=118: A=A_125+125 A_118 in Z/(125*118)Z. Reducing a+3b=2c+2d modulo 125 forces all low digits equal; canceling and dividing by 125 reduces to the valid N=118 relation on the high digits. Hence all four terms are equal and the 9*7=63 point set is valid.

last edited by Yongxi (Aaron) Lin at 2026-08-07 22:25:47 UTC · history