witness #1309

N: 1,801
|A|: 24
exponent log |A| / log N: 0.4240

status: current record for this modulus
submitted by: Yongxi (Aaron) Lin
submitted at: 2026-08-07 09:13:45 UTC

Elements (24)

4, 12, 13, 18, 19, 27, 67, 75, 76, 81, 82, 90, 358, 360, 367, 368, 375, 377, 423, 425, 432, 433, 440, 442

Commentary

Simulated annealing restricted to the window [0, N/4): with all elements below N/4 the equation a+3b=2c+2d cannot wrap around, so the set is solution-free over the integers (and hence mod every N' ≥ 4·max).

last edited by Yongxi (Aaron) Lin at 2026-08-07 09:13:45 UTC · history