# Square Addible

**Number Theory**Level 5

Let an integer \(n\) be **square addible** by integer \(k\) if there exists an integer \(x\) such that

\[k\mid n+2014x^2\]

Find the number of positive integers \(n\) less than or equal to \(2014\) that are **square addible** by both \(7\) and \(11\) but not \(13\).