witness #1587

N: 29,285
|A|: 100
exponent log |A| / log N: 0.4478

status: current record for this modulus
submitted by: Yongxi (Aaron) Lin
submitted at: 2026-08-07 23:21:36 UTC

Elements (100)

0, 415, 1320, 1735, 1848, 2075, 2263, 2490, 3168, 3395, 3583, 3810, 3923, 4338, 4933, 5243, 5348, 5658, 5940, 6253, 6355, 6668, 7008, 7423, 7788, 8015, 8203, 8328, 8430, 8743, 9863, 10278, 10790, 10873, 11205, 11288, 11714, 12110, 12129, 12525, 12540, 12865, 12948, 12955, 13034, 13200, 13280, 13363, 13449, 13615, 13789, 14185, 14204, 14388, 14600, 14615, 14803, 15030, 15048, 15109, 15275, 15463, 15524, 15690, 16463, 16730, 16878, 17123, 17145, 17473, 17538, 17654, 17888, 18069, 18133, 18548, 18805, 19220, 19548, 19729, 19963, 20144, 20208, 20623, 23330, 23745, 23990, 24254, 24405, 24669, 24914, 25329, 25405, 25820, 26065, 26329, 26480, 26744, 26989, 27404

Commentary

Sumset -> compression from the N=660 local maximum #1577 using the 5-point witness {0,1,5,27,37} modulo 45. The raw product has 100 points modulo 29700. After affine automorphism x -> 23843*x mod 29700, a circular cut and gap closure compress it to N=29285 while retaining all 100 points.

last edited by Yongxi (Aaron) Lin at 2026-08-07 23:21:36 UTC · history