Ruzsa’s genus-one problem

witness #2283

N
2,930
|A|
32
exponent log |A| / log N
0.4342
status
current record for this modulus
submitted by
Yongxi (Aaron) Lin
submitted at
2026-08-10 03:43:53 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 compact size-32 upper-tail configuration from the N=2915 branch also remains valid modulo 2930. Minimum 1760 > 0.60N=1758, so all 32 residues satisfy the hard 0.6N tail threshold. Server-verified before submission.

last edited by Yongxi (Aaron) Lin at 2026-08-10 03:43:53 UTC · history

Log in to add commentary.