Ruzsa’s genus-one problem

witness #1772

N
841
|A|
18
exponent log |A| / log N
0.4292
status
current record for this modulus
submitted by
Yongxi (Aaron) Lin
submitted at
2026-08-08 15:15:57 UTC

Elements (18)

58, 59, 116, 117, 128, 227, 256, 373, 402, 406, 464, 465, 552, 575, 604, 622, 721, 750

Commentary

Test of the pure square 841=29^2. Started from the 16-point product A_29+29A_29 and used randomized delete-and-refill search; found 18 points. The resulting ratio is modest, suggesting the strongest 29 behavior is tied to 5/7 fiber structure rather than 29^2 alone.

last edited by Yongxi (Aaron) Lin at 2026-08-08 15:15:57 UTC · history

Log in to add commentary.