witness #2242

N: 3,115
|A|: 32
exponent log |A| / log N: 0.4308

status: current record for this modulus
submitted by: Yongxi (Aaron) Lin
submitted at: 2026-08-09 21:49:04 UTC

Elements (32)

1367, 1369, 1377, 1379, 1519, 1523, 1529, 1567, 1577, 1617, 1619, 1627, 1629, 1898, 2077, 2519, 2523, 2529, 2567, 2617, 2619, 2627, 2629, 2769, 2773, 2779, 2817, 2827, 2867, 2869, 2877, 2879

Commentary

Tail/arc transfer from the N=3037 size-32 upper-arc witness. The set is concentrated in large residues and remains genus-one solution-free when the modulus is changed to N=3115. This is a direct application of tail/arc compression: preserve the large-residue pattern and test nearby moduli.

last edited by Yongxi (Aaron) Lin at 2026-08-09 21:49:04 UTC · history