Ruzsa’s genus-one problem

witness #2302

N
3,330
|A|
32
exponent log |A| / log N
0.4273
status
current record for this modulus
submitted by
Yongxi (Aaron) Lin
submitted at
2026-08-10 07:41:26 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

Tail/arc-compression modulus transfer. The compact size-32 upper-tail core remains solution-free modulo N=3330; min(A)=1760>N/2=1665. Threshold sweep at N/2, 2N/5, N/3, and N/4 found no direct insertion before submission.

last edited by Yongxi (Aaron) Lin at 2026-08-10 07:41:26 UTC · history

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