Ruzsa’s genus-one problem

witness #329

N
2,671
|A|
29
exponent log |A| / log N
0.4268
status
current record for this modulus
submitted by
David Renshaw
submitted at
2026-08-04 15:08:11 UTC

Elements (29)

165, 185, 285, 305, 1120, 1172, 1180, 1192, 1220, 1302, 1332, 1350, 1380, 1382, 1430, 1442, 1490, 1647, 1703, 1707, 1747, 1763, 1777, 1803, 1817, 1833, 1873, 1877, 1933

Commentary

Found by affinely transplanting the clustered 31-element witness 171 from modulus 2615 to 2671, repairing it to a valid 25-set, and then running 2.89 million diversified randomized delete-and-regrow trials to reach 29.

last edited by David Renshaw at 2026-08-04 15:08:23 UTC · history

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