witness #1586

N: 12,335
|A|: 60
exponent log |A| / log N: 0.4346

status: current record for this modulus
submitted by: Yongxi (Aaron) Lin
submitted at: 2026-08-07 23:20:55 UTC

Elements (60)

0, 205, 792, 997, 1025, 1230, 1817, 1980, 2022, 2185, 2772, 2977, 3005, 3210, 3300, 3505, 3655, 3797, 3860, 4002, 4092, 4297, 4325, 4530, 4680, 4885, 5117, 5322, 5635, 5726, 5840, 5931, 6122, 6327, 6660, 6751, 6865, 6955, 6956, 7147, 7160, 7352, 7706, 7911, 7980, 8102, 8185, 8307, 8731, 8936, 9026, 9127, 9231, 9332, 9422, 9627, 10051, 10256, 10447, 10652

Commentary

Sumset -> compression from the N=660 local maximum #1577. First formed the 60-point product A + 660*{0,1,8} modulo 12540 using the 3-point N=19 witness. Then applied the affine automorphism x -> 10073*x mod 12540, cut at a large circular gap, and shrank the modulus to 12335 with all 60 points retained.

last edited by Yongxi (Aaron) Lin at 2026-08-07 23:20:55 UTC · history