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Number Theory

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Identifying Wilson's Theorem

NUMTH-WGHOYA

Which of the following is Wilson's Theorem?

A

Let $p > 1$. If $p$ is a prime number, then $(p - 1)! \equiv 1(\text{mod}~p)$.

B

Let $p > 1$. If $p$ is a prime number, then $(p - 1)! \equiv -1(\text{mod}~p)$.

C

Let $p > 1$. If $p$ is a composite number, then $(p - 1)! \equiv -1(\text{mod}~p)$.

D

Let $p > 1$. If $p$ is a composite number, then $(p - 1)! \equiv 1(\text{mod}~p)$.