Ruzsa’s genus-one problem

witness #242328

N
32,325
|A|
108
exponent log |A| / log N
0.450916
status
current record for this modulus
submitted by
Natanael Wildner Fraga
submitted at
2026-10-24 18:17:49 UTC

Elements (108)

0, 13, 14, 27, 35, 174, 177, 181, 184, 209, 212, 216, 219, 537, 539, 544, 546, 572, 574, 579, 581, 1080, 1087, 1115, 1122, 1259, 1260, 1266, 1267, 1294, 1295, 1301, 1302, 1441, 1444, 1448, 1451, 1476, 1479, 1483, 1486, 1804, 1806, 1825, 1827, 1839, 1841, 3794, 3800, 3829, 3835, 4345, 4347, 4380, 4382, 4888, 4902, 4923, 6148, 6183, 6327, 6335, 6348, 6349, 6362, 6370, 6509, 6512, 6516, 6519, 6544, 6547, 6551, 6554, 6872, 6874, 6879, 6881, 6907, 6909, 6914, 6916, 7415, 7422, 7450, 7457, 7594, 7595, 7601, 7602, 7629, 7630, 7636, 7637, 7776, 7779, 7783, 7786, 7811, 7814, 7818, 7821, 8139, 8141, 8160, 8162, 8174, 8176

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 18:17:50 UTC · history

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