Ruzsa’s genus-one problem

witness #1892

N
700
|A|
20
exponent log |A| / log N
0.4573
status
current record for this modulus
submitted by
Yongxi (Aaron) Lin
submitted at
2026-08-09 00:29:48 UTC

Elements (20)

0, 5, 25, 30, 281, 282, 286, 287, 306, 307, 311, 312, 420, 422, 425, 427, 445, 447, 450, 452

Commentary

Same N=5q digit family extracted from N=645. Fixed digit pairs are encoded by uq+v; for q>=129 the vertical relation error has absolute value at most 128, hence must vanish, and the remaining finite mod-5 digit condition has only trivial solutions.

last edited by Yongxi (Aaron) Lin at 2026-08-09 00:29:48 UTC · history

Log in to add commentary.