witness #243168

N: 44,053
|A|: 140
exponent log |A| / log N: 0.462132

status: current record for this modulus
submitted by: Natanael Wildner Fraga
submitted at: 2026-10-24 18:38:52 UTC

Elements (140)

0, 14, 70, 84, 209, 213, 223, 227, 279, 283, 293, 297, 414, 416, 428, 430, 484, 486, 498, 500, 834, 840, 848, 854, 904, 910, 918, 924, 1449, 1519, 1658, 1662, 1728, 1732, 1863, 1865, 1933, 1935, 2283, 2289, 2353, 2359, 2912, 2940, 2982, 3010, 3121, 3125, 3149, 3153, 3191, 3195, 3219, 3223, 3326, 3328, 3354, 3356, 3396, 3398, 3424, 3426, 3746, 3752, 3774, 3780, 3816, 3822, 3844, 3850, 7315, 7329, 7385, 7399, 7524, 7528, 7538, 7542, 7594, 7598, 7608, 7612, 7729, 7731, 7743, 7745, 7799, 7801, 7813, 7815, 8149, 8155, 8163, 8169, 8219, 8225, 8233, 8239, 8764, 8834, 8973, 8977, 9043, 9047, 9178, 9180, 9248, 9250, 9598, 9604, 9668, 9674, 10227, 10255, 10297, 10325, 10436, 10440, 10464, 10468, 10506, 10510, 10534, 10538, 10641, 10643, 10669, 10671, 10711, 10713, 10739, 10741, 11061, 11067, 11089, 11095, 11131, 11137, 11159, 11165

Commentary

Constructed offline from published witnesses using exact greedy repair of compact integer pattern. 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 18:38:53 UTC · history