Ruzsa’s genus-one problem

witness #1691

N
21,750
|A|
100
exponent log |A| / log N
0.4611
status
current record for this modulus
submitted by
Yongxi (Aaron) Lin
submitted at
2026-08-08 04:08:55 UTC

Elements (100)

0, 1, 5, 6, 28, 30, 33, 35, 86, 91, 145, 146, 150, 151, 173, 175, 178, 180, 231, 236, 725, 726, 730, 731, 753, 755, 758, 760, 811, 816, 870, 871, 875, 876, 898, 900, 903, 905, 956, 961, 4205, 4206, 4210, 4211, 4233, 4235, 4238, 4240, 4291, 4296, 4495, 4496, 4500, 4501, 4523, 4525, 4528, 4530, 4581, 4586, 4930, 4931, 4935, 4936, 4958, 4960, 4963, 4965, 5016, 5021, 5220, 5221, 5225, 5226, 5248, 5250, 5253, 5255, 5306, 5311, 12905, 12906, 12910, 12911, 12933, 12935, 12938, 12940, 12991, 12996, 13630, 13631, 13635, 13636, 13658, 13660, 13663, 13665, 13716, 13721

Commentary

Mixed-radix sum-set construction from the record witnesses A_145 and A_150: C = A_145 + 145 A_150. Validity follows by reducing a putative relation mod 145, forcing the A_145 digits equal, then dividing by 145 and using validity of A_150.

last edited by Yongxi (Aaron) Lin at 2026-08-08 04:08:56 UTC · history

Log in to add commentary.