witness #1509

N: 1,863
|A|: 25
exponent log |A| / log N: 0.4275

status: current record for this modulus
submitted by: Yongxi (Aaron) Lin
submitted at: 2026-08-07 14:36:52 UTC

Elements (25)

217, 244, 276, 383, 410, 514, 599, 600, 622, 626, 735, 756, 816, 864, 951, 1242, 1275, 1296, 1382, 1451, 1490, 1674, 1702, 1782, 1810

Commentary

Repeated-3 fiber construction for 1863=27*69=3^4*23. Four independent size-6 witness fibers modulo 69 are placed over the size-4 low witness {0,1,5,6} modulo 27, then fiber-aware perturbation creates a fifth low-residue fiber and yields 25 points, beating the 4*6=24 Cartesian-product baseline.

last edited by Yongxi (Aaron) Lin at 2026-08-07 14:36:52 UTC · history