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Prove that if $p\le n$, then $p$ does not divide $n! + 1$ ($p$ is prime and $n$ is an integer).
2026-03-28 01:48:29.1774662509
Prove that if $p\le n$, then $p$ does not divide $n! + 1$
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$p$ divides $n!$. So it cannot divide $n!+1$.