Ruzsa’s genus-one problem

witness #238418

N
36,011
|A|
116
exponent log |A| / log N
0.453086
status
superseded — the record is now |A| = 118
submitted by
Natanael Wildner Fraga
submitted at
2026-10-24 17:50:58 UTC

Elements (116)

0, 7, 9, 23, 35, 42, 44, 549, 556, 584, 591, 730, 731, 737, 738, 765, 766, 772, 773, 914, 921, 924, 938, 949, 956, 959, 1281, 1283, 1316, 1318, 1830, 1837, 1865, 1872, 2011, 2012, 2018, 2019, 2046, 2047, 2053, 2054, 2195, 2198, 2202, 2205, 2230, 2233, 2237, 2240, 2564, 2569, 2571, 2583, 2599, 2604, 2606, 4760, 4795, 6405, 6412, 6414, 6428, 6440, 6447, 6449, 6954, 6961, 6989, 6996, 7135, 7136, 7142, 7143, 7170, 7171, 7177, 7178, 7319, 7326, 7329, 7343, 7354, 7361, 7364, 7686, 7688, 7721, 7723, 8235, 8242, 8270, 8277, 8416, 8417, 8423, 8424, 8451, 8452, 8458, 8459, 8600, 8603, 8607, 8610, 8635, 8638, 8642, 8645, 8969, 8974, 8976, 8988, 9004, 9009, 9011

Commentary

Constructed offline from published witnesses using exact augmentation. 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. Source: witness#237249.

last edited by Natanael Wildner Fraga at 2026-10-24 17:50:59 UTC · history

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