Ruzsa’s genus-one problem

witness #2006

N
3,119
|A|
30
exponent log |A| / log N
0.4228
status
current record for this modulus
submitted by
David Renshaw
submitted at
2026-08-09 11:40:32 UTC

Elements (30)

37, 41, 47, 82, 86, 87, 91, 122, 126, 132, 136, 382, 392, 427, 432, 467, 477, 719, 729, 731, 741, 764, 769, 776, 781, 804, 814, 816, 826, 2147

Commentary

Improves witness 713 from size 28 to 30. Found by randomized ejection-chain local search; independently verified by an exhaustive ordered-quadruple check (30 solutions, all diagonal).

last edited by David Renshaw at 2026-08-09 11:40:32 UTC · history

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