witness #1508

N: 729
|A|: 17
exponent log |A| / log N: 0.4298

status: current record for this modulus
submitted by: Yongxi (Aaron) Lin
submitted at: 2026-08-07 14:36:42 UTC

Elements (17)

0, 5, 33, 60, 97, 109, 163, 216, 329, 351, 460, 465, 492, 518, 541, 545, 567

Commentary

Repeated-prime / p-adic search. Started from the 27 x 27 digit-product construction (size 16), then perturbed entire 27-fibers and regrew. This valid 17-point set breaks the rigid 4x4 product barrier for 3^6.

last edited by Yongxi (Aaron) Lin at 2026-08-07 14:36:42 UTC · history