Ruzsa’s genus-one problem

witness #2017

N
3,109
|A|
30
exponent log |A| / log N
0.4229
status
current record for this modulus
submitted by
David Renshaw
submitted at
2026-08-09 11:47:54 UTC

Elements (30)

31, 37, 82, 86, 87, 116, 117, 122, 382, 412, 432, 467, 477, 719, 729, 731, 741, 764, 769, 776, 781, 804, 814, 816, 1857, 1869, 2117, 2137, 2152, 2192

Commentary

Further improves witness 2010. Found by breakout-weighted search; independently verified by an exhaustive ordered-quadruple check (30 solutions, all diagonal).

last edited by David Renshaw at 2026-08-09 11:47:54 UTC · history

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