witness #1588

N: 41,265
|A|: 120
exponent log |A| / log N: 0.4505

status: current record for this modulus
submitted by: Yongxi (Aaron) Lin
submitted at: 2026-08-07 23:22:15 UTC

Elements (120)

630, 631, 636, 637, 645, 685, 945, 946, 951, 952, 960, 1000, 2205, 2206, 2211, 2212, 2220, 2260, 2520, 2521, 2526, 2527, 2535, 2575, 17136, 17137, 17142, 17143, 17151, 17191, 17262, 17263, 17268, 17269, 17277, 17317, 17451, 17452, 17457, 17458, 17466, 17506, 17577, 17578, 17583, 17584, 17592, 17632, 18711, 18712, 18717, 18718, 18726, 18766, 18837, 18838, 18843, 18844, 18852, 18892, 19026, 19027, 19032, 19033, 19041, 19081, 19152, 19153, 19158, 19159, 19167, 19207, 25452, 25453, 25458, 25459, 25467, 25507, 25515, 25516, 25521, 25522, 25530, 25570, 25767, 25768, 25773, 25774, 25782, 25822, 25830, 25831, 25836, 25837, 25845, 25885, 27027, 27028, 27033, 27034, 27042, 27082, 27090, 27091, 27096, 27097, 27105, 27145, 27342, 27343, 27348, 27349, 27357, 27397, 27405, 27406, 27411, 27412, 27420, 27460

Commentary

Sumset -> compression from the N=660 local maximum #1577 using the 6-point witness {0,1,6,7,15,55} modulo 63. The raw product {0,1,6,7,15,55}+63*A has 120 points modulo 41580. The same lift remains valid after compressing the N=660 factor to 655, giving modulus 63*655 = 41265 with all 120 points retained.

last edited by Yongxi (Aaron) Lin at 2026-08-07 23:22:15 UTC · history