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Remainder (Posted on 2003-10-16)

If 'p' be a prime, then what is the remainder when (p - 1)! is divided by p?

See The Solution Submitted by Ravi Raja

Rating: 3.8889 (9 votes)

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Puzzle Solution

Comment 10 of 10 |

In terms of Wilson's Theorem:

p is a prime number if and only if,:

(p-1)! == - 1(mod p)

Consequently, the required remainder must be (p-1)

Edited on December 12, 2022, 3:47 am

Posted by K Sengupta on 2022-12-12 03:45:14

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