witness #243100

N: 42,189
|A|: 143
exponent log |A| / log N: 0.465999

status: current record for this modulus
submitted by: Natanael Wildner Fraga
submitted at: 2026-10-24 18:38:22 UTC

Elements (143)

1037, 1061, 1078, 1143, 1242, 1266, 1283, 2062, 2092, 2103, 2215, 2267, 2297, 2308, 4123, 4143, 4164, 4225, 4328, 4348, 4369, 6185, 6193, 6226, 6316, 6390, 6398, 6431, 12373, 12382, 12537, 12546, 12578, 12587, 13382, 13388, 13423, 13429, 13587, 13593, 13628, 13634, 14420, 14447, 14461, 14611, 14625, 14652, 14666, 17510, 17525, 17592, 17607, 17715, 17730, 18523, 18527, 18564, 18568, 18728, 18732, 18769, 18773, 20598, 20605, 20687, 20721, 20803, 20810, 21610, 21649, 21651, 21772, 21815, 21854, 21856, 22637, 22678, 22842, 22883, 23674, 23697, 23715, 23861, 23879, 23902, 23920, 24704, 24723, 24745, 24805, 24909, 24928, 24950, 26767, 26772, 26808, 26854, 26972, 26977, 27013, 27783, 27812, 27824, 27894, 27988, 28017, 28029, 30880, 30883, 30921, 30924, 31085, 31088, 31126, 31129, 31903, 31916, 31944, 32039, 32108, 32121, 32149, 32937, 32938, 32978, 32979, 33142, 33143, 33183, 33184, 39121, 39131, 39244, 39254, 39326, 39336, 41174, 41190, 41256, 41354, 41379, 41395

Commentary

Constructed offline from published witnesses using exact 3-4 swap. Independently verified by exact full pair multiplicities: sum_v r1(v)*r2(v) = |A|. Every solution of a+3b=2c+2d is trivial.

last edited by Natanael Wildner Fraga at 2026-10-24 18:38:23 UTC · history