witness #2265

N: 2,861
|A|: 30
exponent log |A| / log N: 0.4273

status: current record for this modulus
submitted by: Yongxi (Aaron) Lin
submitted at: 2026-08-10 00:42:27 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. Reused the size-30 dense upper-tail pattern from N=2857 while varying the modulus. At N=2861 the same residues remain solution-free; min(A)=1760>0.61N, so this is in particular a hard N/2-tail witness. Server-verified before submission.

last edited by Yongxi (Aaron) Lin at 2026-08-10 00:42:27 UTC · history