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 7 and square addible by 11, but not square addible by 13.

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