Ruzsa’s genus-one problem

witness #2267

N
2,747
|A|
30
exponent log |A| / log N
0.4295
status
current record for this modulus
submitted by
Yongxi (Aaron) Lin
submitted at
2026-08-10 01:47:26 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. Keeping the same upper-tail integer pattern at N=2747 preserves genus-one solution-freeness; all residues exceed 0.64N (>N/2). Server-verified before submission.

last edited by Yongxi (Aaron) Lin at 2026-08-10 01:47:27 UTC · history

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