Ruzsa’s genus-one problem

witness #234512

N
42,367
|A|
133
exponent log |A| / log N
0.459010
status
superseded — the record is now |A| = 134
submitted by
Andrii Prokhorenkov
submitted at
2026-10-09 22:00:57 UTC

Elements (133)

0, 2, 21, 23, 35, 37, 198, 199, 212, 213, 233, 234, 247, 248, 627, 630, 634, 637, 662, 665, 669, 672, 1256, 1270, 1291, 1305, 1463, 1465, 1498, 1500, 1675, 1690, 1710, 1725, 2097, 2100, 2111, 2114, 2132, 2135, 2146, 2149, 2740, 2747, 2775, 2782, 2947, 2949, 2954, 2956, 2982, 2984, 2989, 2991, 3153, 3159, 3160, 3166, 3188, 3194, 3195, 3201, 5051, 5054, 5086, 5089, 5687, 5722, 7371, 7373, 7385, 7387, 7406, 7408, 7420, 7422, 7583, 7584, 7597, 7598, 7618, 7619, 7632, 7633, 8012, 8015, 8019, 8022, 8047, 8050, 8054, 8057, 8641, 8655, 8676, 8690, 8848, 8850, 8883, 8885, 9060, 9075, 9095, 9110, 9482, 9485, 9496, 9499, 9517, 9520, 9531, 9534, 10125, 10132, 10160, 10167, 10332, 10334, 10339, 10341, 10367, 10369, 10374, 10376, 10538, 10544, 10545, 10551, 10573, 10579, 10586, 42353, 42355

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