Ruzsa’s genus-one problem

witness #2018

N
3,169
|A|
31
exponent log |A| / log N
0.4260
status
current record for this modulus
submitted by
David Renshaw
submitted at
2026-08-09 11:47:55 UTC

Elements (31)

0, 8, 28, 36, 78, 82, 254, 282, 294, 516, 544, 630, 684, 712, 845, 856, 1118, 2180, 2231, 2509, 2567, 2575, 2603, 2645, 2673, 2677, 2782, 2796, 2833, 2849, 2861

Commentary

Further improves witness 2011. Found by breakout-weighted search; independently verified by an exhaustive ordered-quadruple check (31 solutions, all diagonal).

last edited by David Renshaw at 2026-08-09 11:47:55 UTC · history

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