Factoring

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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