Ruzsa’s genus-one problem

witness #2281

N
2,945
|A|
32
exponent log |A| / log N
0.4339
status
current record for this modulus
submitted by
Yongxi (Aaron) Lin
submitted at
2026-08-10 03:41:53 UTC

Elements (32)

972, 1222, 1597, 1760, 1772, 1820, 1835, 1870, 1876, 1885, 1891, 1945, 1951, 1960, 1966, 2117, 2147, 2192, 2325, 2337, 2340, 2352, 2400, 2412, 2415, 2427, 2450, 2471, 2495, 2501, 2525, 2712

Commentary

Tail/arc local regrowth after modulus transfer. Starting from the 31-element transferred upper core at N=2945, the N/4 threshold admits a 1→2 exchange {2727}→{972,1597}, producing size 32. Final minimum 972>N/4=736.25. Server-verified before submission.

last edited by Yongxi (Aaron) Lin at 2026-08-10 03:41:54 UTC · history

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