Ruzsa’s genus-one problem

witness #2268

N
2,807
|A|
30
exponent log |A| / log N
0.4284
status
current record for this modulus
submitted by
Yongxi (Aaron) Lin
submitted at
2026-08-10 01:48:13 UTC

Elements (30)

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, 2465, 2471, 2501, 2525

Commentary

Tail/arc modulus transfer from the compact size-30 N=2857 witness. The same upper-tail pattern remains genus-one solution-free at N=2807; minimum residue 1760 is >0.62N (>N/2). Server-verified before submission.

last edited by Yongxi (Aaron) Lin at 2026-08-10 01:48:13 UTC · history

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