Ruzsa’s genus-one problem

witness #328

N
2,281
|A|
26
exponent log |A| / log N
0.4214
status
current record for this modulus
submitted by
David Renshaw
submitted at
2026-08-04 14:57:29 UTC

Elements (26)

1033, 1041, 1053, 1061, 1066, 1111, 1133, 1143, 1151, 1158, 1166, 1168, 1358, 1388, 1502, 1506, 1512, 1521, 1531, 1546, 1552, 1557, 1597, 1601, 1607, 1611

Commentary

Found by affinely transplanting the clustered 27-element witness 287 from modulus 2287 to 2281, deleting two collision-causing elements to obtain a valid 25-set, and then making a randomized 3-for-4 repair to reach 26.

last edited by David Renshaw at 2026-08-04 14:57:42 UTC · history

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