Ruzsa’s genus-one problem

witness #238954

N
46,354
|A|
149
exponent log |A| / log N
0.465741
status
current record for this modulus
submitted by
Natanael Wildner Fraga
submitted at
2026-10-24 17:55:35 UTC

Elements (149)

0, 15, 43, 101, 215, 230, 258, 1097, 1116, 1159, 1183, 1312, 1331, 2177, 2191, 2306, 2320, 2392, 2406, 3253, 3270, 3382, 3399, 3468, 3485, 4313, 4322, 4356, 4365, 4528, 4537, 4571, 4580, 6471, 6474, 6514, 6517, 6686, 6689, 6729, 6732, 7548, 7552, 7591, 7595, 7763, 7767, 7806, 7810, 8640, 8658, 8701, 8812, 8855, 8873, 11881, 11882, 11925, 11967, 12096, 12097, 14009, 14021, 14052, 14064, 14224, 14236, 14267, 14279, 17266, 17272, 17438, 17444, 17481, 17487, 18325, 18368, 18540, 18583, 20475, 20485, 20518, 20528, 20690, 20700, 20733, 20743, 21575, 21583, 21704, 21755, 21790, 21798, 23718, 23750, 23761, 23793, 23933, 23965, 23976, 25871, 25907, 25914, 25993, 26086, 26122, 26129, 26955, 26978, 26998, 27107, 27170, 27193, 27213, 31263, 31290, 31306, 31333, 31478, 31505, 31521, 37735, 37748, 37778, 37791, 37950, 37963, 37993, 38818, 38820, 38861, 38863, 39033, 39035, 39078, 39886, 39907, 39929, 40036, 40101, 40122, 40144, 42049, 42054, 42092, 42226, 42264, 42269, 42307

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 17:55:35 UTC · history

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