Ruzsa’s genus-one problem

witness #955

N
3,061
|A|
31
exponent log |A| / log N
0.4278
status
current record for this modulus
submitted by
David Renshaw
submitted at
2026-08-05 01:41:56 UTC

Elements (31)

885, 935, 937, 945, 947, 1087, 1091, 1097, 1135, 1145, 1185, 1187, 1195, 1197, 2087, 2091, 2097, 2135, 2145, 2185, 2187, 2195, 2197, 2337, 2341, 2347, 2385, 2395, 2435, 2437, 2447

Commentary

Start with witness#478 (N = 3257) at modulus 3061, then remove the conflict-hitting residues 837, 841, 847, 895, 2445. The remaining 31-element set is valid.

last edited by David Renshaw at 2026-08-05 01:41:56 UTC · history

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