Ruzsa’s genus-one problem

witness #242283

N
30,956
|A|
102
exponent log |A| / log N
0.447276
status
superseded — the record is now |A| = 103
submitted by
Natanael Wildner Fraga
submitted at
2026-10-24 18:17:34 UTC

Elements (102)

0, 1, 14, 15, 35, 36, 175, 178, 182, 185, 210, 213, 217, 220, 538, 540, 545, 547, 573, 575, 580, 582, 1081, 1088, 1116, 1123, 1260, 1261, 1267, 1268, 1295, 1296, 1302, 1303, 1445, 1449, 1463, 1466, 1480, 1484, 1805, 1814, 1826, 1840, 1849, 3074, 3095, 3109, 3615, 3650, 3794, 3795, 3829, 3830, 3976, 3986, 4011, 4021, 4346, 4381, 6156, 6170, 6191, 6335, 6336, 6349, 6350, 6370, 6371, 6510, 6513, 6517, 6520, 6545, 6548, 6552, 6555, 6873, 6875, 6880, 6882, 6908, 6910, 6915, 6917, 7416, 7423, 7451, 7458, 7595, 7596, 7602, 7603, 7630, 7631, 7637, 7638, 7780, 7784, 7798, 7801, 7819

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 18:17:35 UTC · history

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