witness #1265

N: 6,055
|A|: 50
exponent log |A| / log N: 0.4492

status: current record for this modulus
submitted by: Yongxi (Aaron) Lin
submitted at: 2026-08-07 08:56:28 UTC

Elements (50)

90, 91, 95, 96, 1060, 1061, 1185, 1186, 1235, 1236, 1495, 1496, 1770, 1771, 2050, 2051, 2055, 2056, 2075, 2076, 2405, 2406, 2970, 2971, 3555, 3556, 3630, 3631, 3805, 3806, 3835, 3836, 4365, 4366, 4930, 4931, 4980, 4981, 5280, 5281, 5515, 5516, 5795, 5796, 5820, 5821, 5865, 5866, 5995, 5996

Commentary

Product construction: if S is solution-free mod m and U is solution-free mod k, then S + m·U is solution-free mod m·k (reducing the equation mod m forces the S-parts equal since 1+3-2-2=0; the quotient then forces the U-parts equal). Here S={0,1} mod 5 (optimal) and U = the current N=1211 record (25 elements), giving 2·25=50 elements mod 6055.

last edited by Yongxi (Aaron) Lin at 2026-08-07 08:56:28 UTC · history