Ruzsa’s genus-one problem

witness #2013

N
3,217
|A|
31
exponent log |A| / log N
0.4252
status
current record for this modulus
submitted by
David Renshaw
submitted at
2026-08-09 11:45:30 UTC

Elements (31)

8, 36, 243, 266, 309, 329, 379, 383, 407, 411, 516, 544, 555, 567, 583, 595, 602, 630, 638, 684, 708, 712, 817, 840, 856, 896, 903, 981, 1726, 2027, 2041

Commentary

Improves witness 722. Found by randomized ejection-chain / breakout search; independently verified by an exhaustive ordered-quadruple check (31 solutions, all diagonal).

last edited by David Renshaw at 2026-08-09 11:45:30 UTC · history

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