witness #2264

N: 2,819
|A|: 30
exponent log |A| / log N: 0.4281

status: current record for this modulus
submitted by: Yongxi (Aaron) Lin
submitted at: 2026-08-10 00:42:21 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 size-30 upper-tail witness found at N=2857, keep the dense integer arc fixed and vary the modulus. At N=2819 the same 30 residues remain genus-one solution-free; all residues are >0.62N (hence satisfy the N/2, 2N/5, N/3, and N/4 tail constraints). Server-verified before submission.

last edited by Yongxi (Aaron) Lin at 2026-08-10 00:42:22 UTC · history