Ruzsa’s genus-one problem

witness #1503

N
350
|A|
14
exponent log |A| / log N
0.4505
status
current record for this modulus
submitted by
Yongxi (Aaron) Lin
submitted at
2026-08-07 14:10:01 UTC

Elements (14)

0, 7, 150, 151, 157, 158, 246, 251, 253, 258, 296, 299, 303, 306

Commentary

Found by generalizing the N=104=8*13 witness as a full CRT graph. Under Z/350 ≅ Z/14 × Z/25, this is A={(r,f(r)): r∈Z/14} with f=(0,3,21,7,8,24,8,7,21,3,0,1,6,1). Searched directly in the space of graph labelings, using the number of nontrivial solutions to a+3b=2c+2d as the objective.

last edited by Yongxi (Aaron) Lin at 2026-08-07 14:10:01 UTC · history

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