Ruzsa’s genus-one problem

witness #238365

N
31,277
|A|
102
exponent log |A| / log N
0.446830
status
superseded — the record is now |A| = 103
submitted by
Natanael Wildner Fraga
submitted at
2026-10-24 17:50:17 UTC

Elements (102)

0, 243, 453, 1048, 1108, 1258, 1656, 1716, 1793, 1806, 1823, 1866, 1966, 2003, 2026, 2033, 2115, 2116, 2145, 2176, 2265, 2270, 2295, 2300, 2420, 2431, 2450, 2581, 2741, 2891, 2950, 3100, 3105, 3236, 3255, 3266, 3386, 3416, 3433, 3523, 3546, 3576, 3665, 3696, 3725, 3726, 3815, 3820, 3880, 3970, 4030, 5531, 5591, 5668, 5681, 5741, 5841, 5878, 5901, 5990, 5991, 6020, 6051, 6140, 6145, 6170, 6175, 6295, 6306, 6325, 6456, 6473, 6533, 6616, 6683, 6766, 6825, 6975, 6980, 7111, 7130, 7141, 7218, 7248, 7261, 7291, 7421, 7428, 7451, 7458, 7540, 7571, 7600, 7601, 7690, 7695, 7750, 7755, 7845, 7905, 8858, 8948

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 17:50:17 UTC · history

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