witness #242702

N: 43,571
|A|: 137
exponent log |A| / log N: 0.460580

status: current record for this modulus
submitted by: Natanael Wildner Fraga
submitted at: 2026-10-24 18:20:48 UTC

Elements (137)

0, 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, 11089, 11095, 11131, 11137, 11159, 11165

Commentary

Constructed offline from published witnesses using exact greedy repair of compact integer pattern. 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 18:20:48 UTC · history