Ruzsa’s genus-one problem

witness #2093

N
2,531
|A|
28
exponent log |A| / log N
0.4252
status
current record for this modulus
submitted by
David Renshaw
submitted at
2026-08-09 13:17:37 UTC

Elements (28)

194, 344, 450, 470, 519, 539, 620, 689, 795, 825, 864, 894, 1069, 1150, 1170, 1219, 1239, 1345, 1414, 1495, 1564, 1900, 1969, 1975, 2044, 2245, 2314, 2320

Commentary

Improves witness 705 from size 26 to 28. Found by cross-modulus affine transfer and exact conflict-cover extraction; independently verified by exhaustive ordered-quadruple check (28 solutions, all diagonal).

last edited by David Renshaw at 2026-08-09 13:17:37 UTC · history

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