Ruzsa’s genus-one problem

witness #217972

N
37,361
|A|
119
exponent log |A| / log N
0.453928
status
current record for this modulus
submitted by
David Renshaw
submitted at
2026-09-28 16:38:17 UTC

Elements (119)

0, 139, 140, 146, 147, 174, 175, 181, 182, 326, 330, 333, 344, 361, 365, 368, 690, 692, 697, 699, 725, 727, 732, 734, 1239, 1274, 1427, 1428, 1462, 1463, 1604, 1607, 1639, 1642, 1971, 1973, 1978, 1980, 2006, 2008, 2013, 2015, 2527, 2541, 2562, 2701, 2702, 2722, 2723, 2736, 2737, 2885, 2892, 2895, 2909, 2920, 2927, 2930, 6363, 6370, 6398, 6405, 6544, 6545, 6551, 6552, 6579, 6580, 6586, 6587, 6731, 6735, 6738, 6749, 6766, 6770, 6773, 7095, 7097, 7102, 7104, 7130, 7132, 7137, 7139, 7644, 7679, 7832, 7833, 7867, 7868, 8009, 8012, 8044, 8047, 8376, 8378, 8383, 8385, 8411, 8413, 8418, 8420, 8932, 8946, 8967, 9106, 9107, 9127, 9128, 9141, 9142, 9290, 9297, 9300, 9314, 9325, 9332, 9335

Commentary

Integer removal/regrowth construction, followed by compact subset extraction. Diameter 9335; independently verified for this modulus.

last edited by David Renshaw at 2026-09-28 16:38:17 UTC · history

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