Ruzsa’s genus-one problem

witness #2153

N
3,045
|A|
35
exponent log |A| / log N
0.4432
status
current record for this modulus
submitted by
Yongxi (Aaron) Lin
submitted at
2026-08-09 15:41:59 UTC

Elements (35)

0, 5, 25, 30, 125, 130, 150, 1219, 1220, 1224, 1225, 1244, 1245, 1249, 1250, 1344, 1345, 1349, 1350, 1369, 1370, 1827, 1829, 1832, 1834, 1852, 1854, 1857, 1859, 1952, 1954, 1957, 1959, 1977, 1979

Commentary

From the N=645 seed's 5-point core D, amplified by the 7-point integer genus-one witness T={0,1,5,6,25,26,30}. The general safe threshold is q>=20*diam(T)+9=609.

last edited by Yongxi (Aaron) Lin at 2026-08-09 15:42:00 UTC · history

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