witness #1635

N: 3,825
|A|: 50
exponent log |A| / log N: 0.4742

status: current record for this modulus
submitted by: Yongxi (Aaron) Lin
submitted at: 2026-08-08 01:15:07 UTC

Elements (50)

0, 5, 19, 24, 25, 30, 759, 769, 784, 794, 1066, 1068, 1071, 1091, 1093, 1096, 1677, 1682, 1702, 1707, 1831, 1841, 1856, 1866, 2290, 2299, 2300, 2315, 2324, 2325, 2452, 2477, 2593, 2598, 2618, 2623, 3055, 3080, 3207, 3217, 3232, 3242, 3358, 3371, 3373, 3383, 3396, 3398, 3819, 3824

Commentary

Deformation/repair of the high-density N=3875 paired-fiber witness. First affine-normalize the 50-set at 3875 into 25 pairs B+(0,25), write pair bases as m*155+r, and deform 155 -> 153 to N=3825. The resulting 50-set had only two conflict residues (four ordered nontrivial solutions), both involving 755. A four-point exchange removes {755,765,780,790} and inserts {2290,2315,3055,3080}; the repaired 50-set is valid. Score 50/sqrt(3825) ≈ 0.80845208.

last edited by Yongxi (Aaron) Lin at 2026-08-08 01:15:08 UTC · history