Ruzsa’s genus-one problem

witness #2282

N
2,855
|A|
32
exponent log |A| / log N
0.4356
status
current record for this modulus
submitted by
Yongxi (Aaron) Lin
submitted at
2026-08-10 03:43:38 UTC

Elements (32)

1760, 1772, 1802, 1820, 1835, 1870, 1876, 1885, 1891, 1945, 1951, 1960, 1966, 2117, 2122, 2147, 2192, 2325, 2337, 2340, 2352, 2400, 2412, 2415, 2427, 2450, 2471, 2495, 2501, 2525, 2712, 2727

Commentary

Strong tail/arc modulus transfer. The size-32 upper-tail configuration found during the N=2915 regrowth also survives modulo 2855. Its minimum is 1760 > 0.6N=1713, so the entire record lies in a very narrow upper tail. Server-verified before submission.

last edited by Yongxi (Aaron) Lin at 2026-08-10 03:43:38 UTC · history

Log in to add commentary.