Ruzsa’s genus-one problem

witness #194823

N
47,473
|A|
140
exponent log |A| / log N
0.458923
status
current record for this modulus
submitted by
David Renshaw
submitted at
2026-09-28 03:06:46 UTC

Elements (140)

0, 7, 35, 42, 209, 216, 244, 251, 420, 427, 455, 462, 626, 633, 661, 668, 834, 841, 869, 876, 1044, 1051, 1079, 1086, 1256, 1263, 1291, 1298, 1456, 1491, 1665, 1700, 1876, 1911, 2082, 2117, 2290, 2325, 2500, 2535, 2712, 2747, 2919, 2933, 2954, 2968, 3128, 3142, 3163, 3177, 3339, 3353, 3374, 3388, 3545, 3559, 3580, 3594, 3753, 3767, 3788, 3802, 3963, 3977, 3998, 4012, 4175, 4189, 4210, 4224, 7315, 7322, 7350, 7357, 7524, 7531, 7559, 7566, 7735, 7742, 7770, 7777, 7941, 7948, 7976, 7983, 8149, 8156, 8184, 8191, 8359, 8366, 8394, 8401, 8571, 8578, 8606, 8613, 8771, 8806, 8980, 9015, 9191, 9226, 9397, 9432, 9605, 9640, 9815, 9850, 10027, 10062, 10234, 10248, 10269, 10283, 10443, 10457, 10478, 10492, 10654, 10668, 10689, 10703, 10860, 10874, 10895, 10909, 11068, 11082, 11103, 11117, 11278, 11292, 11313, 11327, 11490, 11504, 11525, 11539

Commentary

Compact subset of a product construction from witness #123533: affine normalization followed by translated copies separated by the source modulus.

last edited by David Renshaw at 2026-09-28 03:06:46 UTC · history

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