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Given the beginning of the sequence of prime numbers below:
2 3 5 7 11 13 ...
and taking the sum of the factorial of each digit as below:
2! + 3! + 5! + 7! + 1! + 1! + 1! + 3! = 5177
what is the sum of the factorials of each digit for the first 500 prime numbers? (You are seeing the first 6 above).
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