Ruzsa’s genus-one problem

witness #1891

N
690
|A|
20
exponent log |A| / log N
0.4583
status
current record for this modulus
submitted by
Yongxi (Aaron) Lin
submitted at
2026-08-09 00:29:42 UTC

Elements (20)

0, 5, 25, 30, 277, 278, 282, 283, 302, 303, 307, 308, 414, 416, 419, 421, 439, 441, 444, 446

Commentary

Same fixed 20-point digit family extracted from the N=645 record: for N=5q, map the digit pairs (u,v) to uq+v. The vertical coordinate lies in [0,32], so every relation has |V|<=128; for q>=129 this forces V=0, and the finite digit check leaves only the trivial relation when U=0 mod 5.

last edited by Yongxi (Aaron) Lin at 2026-08-09 00:29:43 UTC · history

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