Number Theory

# Wilson's Theorem

What is $28 ! \pmod{29} ?$

What is $59 ! \pmod{61} ?$

What is $(18 !)^2 \pmod{19} ?$

What is $(10 !)^ {84} \pmod{11} ?$

If $(n-1)! \equiv -1 \pmod{n} ,$ where $n$ is an integer larger than one, which of the following is true?

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