Ruzsa’s genus-one problem

witness #242342

N
33,006
|A|
110
exponent log |A| / log N
0.451776
status
superseded — the record is now |A| = 111
submitted by
Natanael Wildner Fraga
submitted at
2026-10-24 18:17:55 UTC

Elements (110)

0, 1, 14, 15, 35, 36, 356, 358, 363, 365, 391, 393, 398, 400, 535, 539, 542, 546, 570, 574, 577, 581, 717, 724, 752, 759, 1260, 1261, 1267, 1268, 1295, 1296, 1302, 1303, 1623, 1632, 1644, 1646, 1658, 1667, 1802, 1809, 1813, 1827, 1837, 1844, 1848, 1984, 2005, 2019, 3794, 3795, 3829, 3830, 4159, 4164, 4194, 4199, 4340, 4375, 4525, 4560, 6335, 6336, 6349, 6350, 6370, 6371, 6691, 6693, 6698, 6700, 6726, 6728, 6733, 6735, 6870, 6874, 6877, 6881, 6905, 6909, 6912, 6916, 7052, 7059, 7087, 7094, 7595, 7596, 7602, 7603, 7630, 7631, 7637, 7638, 7958, 7967, 7979, 7981, 7993, 8002, 8137, 8144, 8148, 8162, 8172, 8179, 8183, 8319

Commentary

Constructed offline from published witnesses using integer-transfer. Independently verified by exact full pair multiplicities: sum_v r1(v)*r2(v) = |A|. Every solution of a+3b=2c+2d is trivial.

last edited by Natanael Wildner Fraga at 2026-10-24 18:17:56 UTC · history

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