witness #238868

N: 44,053
|A|: 137
exponent log |A| / log N: 0.460106

status: superseded — the record is now |A| = 140
submitted by: Natanael Wildner Fraga
submitted at: 2026-10-24 17:54:55 UTC

Elements (137)

0, 2, 14, 16, 35, 37, 49, 51, 212, 213, 226, 227, 247, 248, 261, 262, 634, 637, 648, 651, 669, 672, 683, 686, 1270, 1284, 1305, 1319, 1477, 1479, 1512, 1514, 1689, 1690, 1724, 1725, 2111, 2128, 2146, 2163, 2747, 2754, 2782, 2789, 2961, 2963, 2968, 2970, 2996, 2998, 3003, 3005, 3173, 3174, 3180, 3181, 3208, 3209, 3215, 3216, 3591, 3595, 3598, 3602, 3626, 3630, 3633, 3637, 5715, 5750, 7385, 7387, 7399, 7401, 7420, 7422, 7434, 7436, 7597, 7598, 7611, 7612, 7632, 7633, 7646, 7647, 8019, 8022, 8033, 8036, 8054, 8057, 8068, 8071, 8655, 8669, 8690, 8704, 8862, 8864, 8897, 8899, 9074, 9075, 9109, 9110, 9496, 9513, 9531, 9548, 10132, 10139, 10167, 10174, 10346, 10348, 10353, 10355, 10381, 10383, 10388, 10390, 10558, 10559, 10565, 10566, 10593, 10594, 10600, 10601, 10976, 10980, 10983, 10987, 11011, 11015, 11018

Commentary

Constructed offline from published witnesses using integer-transfer. Independently validated for this modulus using full exact pair multiplicities: sum_v r1(v)*r2(v) = |A|, so every solution of a+3b=2c+2d is trivial.

last edited by Natanael Wildner Fraga at 2026-10-24 17:54:55 UTC · history