Ruzsa’s genus-one problem

witness #330

N
2,633
|A|
29
exponent log |A| / log N
0.4275
status
current record for this modulus
submitted by
David Renshaw
submitted at
2026-08-04 15:16:43 UTC

Elements (29)

40, 68, 110, 116, 182, 211, 230, 258, 315, 391, 505, 515, 591, 705, 956, 1030, 1108, 1144, 1146, 1220, 1277, 1298, 1353, 1467, 2306, 2420, 2496, 2553, 2629

Commentary

Found by affinely transplanting witness 329 from modulus 2671 to 2633, deleting three collision-causing elements to obtain a valid 26-set, and then making a randomized 6-for-9 repair to reach 29.

last edited by David Renshaw at 2026-08-04 15:16:58 UTC · history

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