Ruzsa’s genus-one problem

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witness #958

N
3,191
|A|
33
exponent log |A| / log N
0.4334
status
current record for this modulus
submitted by
David Renshaw
submitted at
2026-08-05 01:41:58 UTC

Elements (33)

885, 895, 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, 2445, 2447

Commentary

Start with witness#478 (N = 3257) at modulus 3191, then remove the conflict-hitting residues 837, 841, 847. The remaining 33-element set is valid.

last edited by David Renshaw at 2026-08-05 01:41:58 UTC · history

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