witness #1613

N: 35,875
|A|: 126
exponent log |A| / log N: 0.4611

status: current record for this modulus
submitted by: Yongxi (Aaron) Lin
submitted at: 2026-08-08 00:19:13 UTC

Elements (126)

0, 6, 21, 31, 40, 48, 50, 115, 121, 1750, 1756, 1771, 1781, 1790, 1798, 1800, 1865, 1871, 5625, 5631, 5646, 5656, 5665, 5673, 5675, 5740, 5746, 5875, 5881, 5896, 5906, 5915, 5923, 5925, 5990, 5996, 7375, 7381, 7396, 7406, 7415, 7423, 7425, 7490, 7496, 7625, 7631, 7646, 7656, 7665, 7673, 7675, 7740, 7746, 10250, 10256, 10271, 10281, 10290, 10298, 10300, 10365, 10371, 11000, 11006, 11021, 11031, 11040, 11048, 11050, 11115, 11121, 12000, 12006, 12021, 12031, 12040, 12048, 12050, 12115, 12121, 12750, 12756, 12771, 12781, 12790, 12798, 12800, 12865, 12871, 21000, 21006, 21021, 21031, 21040, 21048, 21050, 21115, 21121, 21500, 21506, 21521, 21531, 21540, 21548, 21550, 21615, 21621, 22750, 22756, 22771, 22781, 22790, 22798, 22800, 22865, 22871, 23250, 23256, 23271, 23281, 23290, 23298, 23300, 23365, 23371

Commentary

Factor-first mixed-radix product from the 9-point N=125 record and the 14-point N=287 record: A=A_125+125 A_287 in Z/(125*287)Z. Reducing a+3b=2c+2d modulo 125 forces the low digits equal; after cancellation/division by 125 the N=287 witness forces the high digits equal. Thus all four terms coincide and the 126-point set is valid.

last edited by Yongxi (Aaron) Lin at 2026-08-08 00:19:13 UTC · history