Number Theory

Basic Applications of Modular Arithmetic

Wilson's Theorem

         

What is 28!(mod29)? 28 ! \pmod{29} ?

What is 59!(mod61)? 59 ! \pmod{61} ?

What is (18!)2(mod19)? (18 !)^2 \pmod{19} ?

What is (10!)84(mod11)? (10 !)^ {84} \pmod{11} ?

If (n1)!1(modn), (n-1)! \equiv -1 \pmod{n} , where nn is an integer larger than one, which of the following is true?

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