# Divisibility of sum of factorials

Does $$p \mid 1! + 2! + 3! + 4! + \cdots + (p-1)!$$ ever occur for any prime $p$?

My friend told me about this problem, but I don't know the source.

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It happens when $p=3$, but fails when $p=2$, so it only works for some primes.