# Factorial!

Number Theory Level pending

Let $$m$$ and $$n$$ be positive integers satisfying $n! + 76 = m^2.$

If all the solutions of $$(m,n)$$ are $$(m_1, n_1) , (m_2, n_2) , \ldots , (m_k , n_k )$$, submit your answer as $$\displaystyle \sum_{j=1}^k (m_j + n_j)$$.


Notation: $$!$$ is the factorial notation. For example, $$8! = 1\times2\times3\times\cdots\times8$$.

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