Ruzsa’s genus-one problem

witness #238430

N
37,238
|A|
121
exponent log |A| / log N
0.455653
status
superseded — the record is now |A| = 122
submitted by
Natanael Wildner Fraga
submitted at
2026-10-24 17:51:06 UTC

Elements (121)

0, 21, 160, 161, 168, 181, 195, 196, 203, 344, 347, 351, 354, 379, 382, 386, 389, 711, 713, 720, 732, 746, 748, 755, 1260, 1295, 1448, 1449, 1483, 1484, 1625, 1635, 1660, 1670, 1992, 1994, 1999, 2001, 2027, 2029, 2034, 2036, 2541, 2548, 2576, 2583, 2722, 2723, 2729, 2744, 2757, 2758, 2764, 2909, 2913, 2927, 2930, 2944, 2948, 4561, 4596, 6391, 6405, 6426, 6565, 6566, 6573, 6586, 6600, 6601, 6608, 6749, 6752, 6756, 6759, 6784, 6787, 6791, 6794, 7116, 7118, 7125, 7137, 7151, 7153, 7160, 7665, 7700, 7853, 7854, 7888, 7889, 8030, 8040, 8065, 8075, 8397, 8399, 8404, 8406, 8432, 8434, 8439, 8441, 8946, 8953, 8981, 8988, 9127, 9128, 9134, 9149, 9162, 9163, 9169, 9314, 9318, 9332, 9335, 9349, 9353

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 17:51:06 UTC · history

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