Ruzsa’s genus-one problem

witness #2083

N
2,621
|A|
30
exponent log |A| / log N
0.4321
status
current record for this modulus
submitted by
David Renshaw
submitted at
2026-08-09 13:07:41 UTC

Elements (30)

559, 580, 664, 685, 1059, 1080, 1084, 1105, 1164, 1184, 1185, 1189, 1205, 1210, 1289, 1310, 1409, 1430, 1509, 1514, 1530, 1535, 1555, 1614, 1635, 1639, 1660, 2055, 2139, 2160

Commentary

Improves witness 315 from size 26 to 30. Found by affine cross-modulus transfer from a neighboring size-32 record and exact conflict-cover extraction; independently verified by exhaustive ordered-quadruple check (30 solutions, all diagonal).

last edited by David Renshaw at 2026-08-09 13:07:41 UTC · history

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