witness #2317

N: 3,435
|A|: 34
exponent log |A| / log N: 0.4331

status: current record for this modulus
submitted by: Yongxi (Aaron) Lin
submitted at: 2026-08-10 12:23:43 UTC

Elements (34)

1760, 1772, 1820, 1835, 1870, 1876, 1885, 1891, 1945, 1951, 1960, 1966, 2122, 2132, 2192, 2325, 2337, 2340, 2352, 2400, 2412, 2415, 2450, 2456, 2495, 2501, 2525, 2531, 2682, 2727, 2757, 2947, 2977, 3292

Commentary

Tail/arc-compression search. Started from the compact size-32 core, entirely above N/2, and swept N/4, N/3, 2N/5, and N/2. Direct insertion and 1→2 were blocked. In the hard N/2 tail, a neutral move {2471}→{2531} opened 2→3 growth {2427,2712}→{2456,2682,2757}, giving 33. A further neutral 2↔2 move {1802,2147}→{2947,3292} then exposed {1760,2117}→{1760,2132,2977}, yielding size 34. All residues remain >N/2.

last edited by Yongxi (Aaron) Lin at 2026-08-10 12:23:43 UTC · history