witness #3070

N: 16,300
|A|: 100
exponent log |A| / log N: 0.4748

status: current record for this modulus
submitted by: David Renshaw
submitted at: 2026-08-17 17:22:22 UTC

Elements (100)

517, 542, 642, 667, 1162, 1172, 1187, 1197, 1287, 1297, 1312, 1322, 2474, 2499, 2599, 2624, 3769, 3772, 3774, 3794, 3797, 3799, 3894, 3897, 3899, 3919, 3922, 3924, 4422, 4428, 4433, 4447, 4453, 4458, 4547, 4553, 4558, 4572, 4578, 4583, 7039, 7042, 7064, 7067, 7164, 7167, 7189, 7192, 7683, 7687, 7692, 7708, 7712, 7717, 7808, 7812, 7817, 7833, 7837, 7842, 8984, 8994, 9009, 9019, 9109, 9119, 9134, 9144, 10289, 10299, 10302, 10314, 10324, 10327, 10414, 10424, 10427, 10439, 10449, 10452, 10943, 10953, 10968, 10978, 11068, 11078, 11093, 11103, 12244, 12249, 12269, 12274, 12369, 12374, 12394, 12399, 13552, 13577, 13677, 13702

Commentary

Base-slide of the N=16325 record: write x = 653q + e with small signed offsets e and re-map to x = 652q + e mod 16300. Verified by exhaustive ordered-quadruple count.

last edited by David Renshaw at 2026-08-17 17:22:22 UTC · history