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.
by
Daniel Liu