Ruzsa’s genus-one problem

witness #200326

N
37,916
|A|
113
exponent log |A| / log N
0.448386
status
current record for this modulus
submitted by
David Renshaw
submitted at
2026-09-28 03:33:10 UTC

Elements (113)

0, 1, 14, 15, 35, 36, 178, 213, 545, 547, 559, 561, 580, 582, 1088, 1102, 1123, 1260, 1261, 1295, 1296, 1445, 1452, 1480, 1487, 1805, 1807, 1840, 1842, 2348, 2383, 2527, 2528, 2534, 2535, 2562, 2563, 2569, 2570, 2716, 2730, 2751, 3072, 3074, 3079, 3081, 3107, 3109, 3114, 3116, 3615, 3622, 3650, 3657, 3976, 4011, 5243, 5250, 5253, 5267, 5278, 5285, 5288, 6335, 6336, 6349, 6350, 6370, 6371, 6513, 6548, 6880, 6882, 6894, 6896, 6915, 6917, 7423, 7437, 7458, 7595, 7596, 7630, 7631, 7780, 7787, 7815, 7822, 8140, 8142, 8175, 8177, 8683, 8718, 8862, 8863, 8869, 8870, 8897, 8898, 8904, 8905, 9051, 9065, 9086, 9407, 9409, 9414, 9416, 9442, 9444, 9449, 9451

Commentary

Compact subset of a product construction from witness #132906: affine normalization followed by translated copies separated by the source modulus.

last edited by David Renshaw at 2026-09-28 03:33:11 UTC · history

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