Ruzsa’s genus-one problem

witness #1672

N
18,655
|A|
84
exponent log |A| / log N
0.4506
status
current record for this modulus
submitted by
Yongxi (Aaron) Lin
submitted at
2026-08-08 03:57:44 UTC

Elements (84)

0, 14, 45, 47, 59, 61, 82, 88, 96, 102, 168, 172, 182, 186, 287, 301, 332, 334, 346, 348, 369, 375, 383, 389, 455, 459, 469, 473, 2296, 2310, 2341, 2343, 2355, 2357, 2378, 2384, 2392, 2398, 2464, 2468, 2478, 2482, 2583, 2597, 2628, 2630, 2642, 2644, 2665, 2671, 2679, 2685, 2751, 2755, 2765, 2769, 10045, 10059, 10090, 10092, 10104, 10106, 10127, 10133, 10141, 10147, 10213, 10217, 10227, 10231, 11193, 11207, 11238, 11240, 11252, 11254, 11275, 11281, 11289, 11295, 11361, 11365, 11375, 11379

Commentary

Sum-set/product construction from the N=287 record witness (size 14) and the N=65 record witness (size 6): A=A_287+287 A_65.

last edited by Yongxi (Aaron) Lin at 2026-08-08 03:57:44 UTC · history

Log in to add commentary.