witness #1266

N: 7,105
|A|: 56
exponent log |A| / log N: 0.4539

status: current record for this modulus
submitted by: Yongxi (Aaron) Lin
submitted at: 2026-08-07 08:56:30 UTC

Elements (56)

0, 1, 5, 6, 35, 36, 40, 41, 175, 176, 180, 181, 210, 211, 215, 216, 2025, 2026, 2035, 2036, 2060, 2061, 2070, 2071, 2200, 2201, 2210, 2211, 2235, 2236, 2245, 2246, 3045, 3046, 3060, 3061, 3080, 3081, 3095, 3096, 3220, 3221, 3235, 3236, 3255, 3256, 3270, 3271, 4040, 4041, 4075, 4076, 4215, 4216, 4250, 4251

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 mod m forces the S-parts equal since 1+3-2-2=0; the quotient forces the U-parts equal). Here S={0,1} mod 5 (optimal) and U = the current N=1421 record (28 elements), giving 2·28=56 elements mod 7105.

last edited by Yongxi (Aaron) Lin at 2026-08-07 08:56:30 UTC · history