# Factoring

Computer Science Level 4

Let $$x$$ and $$y$$ be prime numbers such that both $$x! + 1$$ and $$y! + 1$$ are prime numbers as well. If the product $$(x! + 1)(y! + 1)$$ is a 93-digit long number as shown below,

460432316581264925060046564429192334437963296857959039928362776676511162585133246054400000001

Find $$x + y$$.

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