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 $$13$$.

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