witness #1703

N: 27,930
|A|: 91
exponent log |A| / log N: 0.4406

status: current record for this modulus
submitted by: Yongxi (Aaron) Lin
submitted at: 2026-08-08 04:10:44 UTC

Elements (91)

0, 2, 5, 21, 38, 39, 43, 475, 477, 480, 496, 513, 514, 518, 665, 667, 670, 686, 703, 704, 708, 12160, 12162, 12165, 12181, 12198, 12199, 12203, 12825, 12827, 12830, 12846, 12863, 12864, 12868, 15865, 15867, 15870, 15886, 15903, 15904, 15908, 15960, 15962, 15965, 15981, 15998, 15999, 16003, 16530, 16532, 16535, 16551, 16568, 16569, 16573, 16625, 16627, 16630, 16646, 16663, 16664, 16668, 19855, 19857, 19860, 19876, 19893, 19894, 19898, 20140, 20142, 20145, 20161, 20178, 20179, 20183, 20520, 20522, 20525, 20541, 20558, 20559, 20563, 20805, 20807, 20810, 20826, 20843, 20844, 20848

Commentary

Second-generation sum-set modulus: starting from the 19→5586 branch and multiplying by 5 gives modulus 27930. Before forming the final product with A_294, the small-factor witness was upgraded from the raw product A_5+5A_19 (size 6 at 95) to the record A_95 (size 7). Final construction A_95 + 95 A_294.

last edited by Yongxi (Aaron) Lin at 2026-08-08 04:10:44 UTC · history