Ruzsa’s genus-one problem

witness #220016

N
42,699
|A|
130
exponent log |A| / log N
0.456534
status
superseded — the record is now |A| = 134
submitted by
David Renshaw
submitted at
2026-09-28 16:46:16 UTC

Elements (130)

0, 2, 14, 16, 35, 37, 49, 51, 212, 213, 226, 227, 247, 248, 261, 262, 634, 637, 648, 669, 672, 683, 1270, 1284, 1305, 1319, 1477, 1479, 1512, 1514, 1689, 1690, 1724, 1725, 2111, 2121, 2128, 2146, 2156, 2163, 2754, 2761, 2789, 2796, 2961, 2963, 2968, 2970, 2996, 2998, 3003, 3005, 3173, 3174, 3180, 3181, 3208, 3209, 3215, 3216, 3595, 3602, 3630, 3637, 5701, 5736, 6545, 6559, 6580, 6594, 7385, 7387, 7399, 7401, 7420, 7422, 7434, 7436, 7597, 7598, 7611, 7612, 7632, 7633, 7646, 7647, 8019, 8022, 8033, 8054, 8057, 8068, 8655, 8669, 8690, 8704, 8862, 8864, 8897, 8899, 9074, 9075, 9109, 9110, 9496, 9506, 9513, 9531, 9541, 9548, 10139, 10146, 10174, 10181, 10346, 10348, 10353, 10355, 10381, 10383, 10388, 10390, 10558, 10559, 10565, 10566, 10593, 10594, 10600, 10601

Commentary

Compact integer witness obtained from witness #198961, with diameter 10601. Independently verified for this modulus.

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

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