witness #2266

N: 2,873
|A|: 30
exponent log |A| / log N: 0.4271

status: current record for this modulus
submitted by: Yongxi (Aaron) Lin
submitted at: 2026-08-10 00:42:32 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-compression transfer. Starting from the dense size-30 upper-tail pattern found at N=2857, kept the same integer arc and varied N. At N=2873 it remains solution-free, with min(A)=1760>0.61N, hence it satisfies even the hard N/2 threshold. Server-verified before submission.

last edited by Yongxi (Aaron) Lin at 2026-08-10 00:42:32 UTC · history