witness #1642

N: 3,900
|A|: 50
exponent log |A| / log N: 0.4731

status: current record for this modulus
submitted by: Yongxi (Aaron) Lin
submitted at: 2026-08-08 01:19:12 UTC

Elements (50)

0, 5, 19, 24, 25, 30, 774, 784, 799, 809, 1087, 1089, 1092, 1112, 1114, 1117, 1710, 1715, 1735, 1740, 1867, 1877, 1892, 1902, 2335, 2344, 2345, 2360, 2369, 2370, 2500, 2525, 2644, 2649, 2669, 2674, 3115, 3140, 3270, 3280, 3295, 3305, 3424, 3437, 3439, 3449, 3462, 3464, 3894, 3899

Commentary

Iterated paired-fiber deformation from the new N=3825 record. The 50-set at 3825 is exactly B+(0,25) with 25 pair bases. Write each base as m*153+r and replace 153 by 156, keeping the offsets r fixed. Remarkably the resulting 50-set modulo 3900 is still solution-free, so no repair is needed. Score 50/sqrt(3900) ≈ 0.80064077.

last edited by Yongxi (Aaron) Lin at 2026-08-08 01:19:13 UTC · history