Ruzsa’s genus-one problem

witness #1505

N
710
|A|
20
exponent log |A| / log N
0.4563
status
current record for this modulus
submitted by
Yongxi (Aaron) Lin
submitted at
2026-08-07 14:17:35 UTC

Elements (20)

1, 5, 6, 10, 30, 31, 35, 36, 145, 148, 150, 153, 170, 173, 175, 178, 431, 436, 456, 461

Commentary

Found by local swap-and-refill search starting from the previous 16-point base-5 digit-cube witness at N=710=10*71. The resulting 20-point set has ratio about 0.75059 and appears locally stable against one-point augmentation and several randomized destroy/refill searches.

last edited by Yongxi (Aaron) Lin at 2026-08-07 14:17:36 UTC · history

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