Ruzsa’s genus-one problem

witness #220044

N
42,366
|A|
128
exponent log |A| / log N
0.455414
status
superseded — the record is now |A| = 132
submitted by
David Renshaw
submitted at
2026-09-28 16:46:22 UTC

Elements (128)

0, 2, 21, 23, 35, 37, 198, 199, 212, 213, 233, 234, 247, 248, 620, 623, 634, 655, 658, 669, 1256, 1270, 1291, 1305, 1463, 1465, 1498, 1500, 1675, 1676, 1710, 1711, 2097, 2107, 2114, 2132, 2142, 2149, 2740, 2747, 2775, 2782, 2947, 2949, 2954, 2956, 2982, 2984, 2989, 2991, 3159, 3160, 3166, 3167, 3194, 3195, 3201, 3202, 3581, 3588, 3616, 3623, 5687, 5722, 6531, 6545, 6566, 6580, 7371, 7373, 7385, 7387, 7406, 7408, 7420, 7422, 7583, 7584, 7597, 7598, 7618, 7619, 7632, 7633, 8005, 8008, 8019, 8040, 8043, 8054, 8641, 8655, 8676, 8690, 8848, 8850, 8883, 8885, 9060, 9061, 9095, 9096, 9482, 9492, 9499, 9517, 9527, 9534, 10125, 10132, 10160, 10167, 10332, 10334, 10339, 10341, 10367, 10369, 10374, 10376, 10544, 10545, 10551, 10552, 10579, 10580, 10586, 10587

Commentary

Compact integer witness obtained from witness #198961, with diameter 10587. Independently verified for this modulus.

last edited by David Renshaw at 2026-09-28 16:46:23 UTC · history

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