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• For those not familiar with Wilson s Theory: P is a prime number if, and only if, (P-1)! + 1 is divisible by P. Now take the number 1, (1-1)! + 1 = 0! + 1 = 2.
Message 1 of 2 , Mar 1, 2005
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For those not familiar with Wilson's Theory: P is a prime number if,
and only if, (P-1)! + 1 is divisible by P.

Now take the number 1, (1-1)! + 1 = 0! + 1 = 2.
2 is divisible by 1, so why isn't 1 prime?
• Here is the definition of Wilson s Theorem from the Prime Pages: http://www.utm.edu/research/primes/notes/proofs/Wilsons.html Wilson s Theorem. Let p be an
Message 1 of 2 , Mar 1, 2005
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Here is the definition of Wilson's Theorem from the Prime Pages:
http://www.utm.edu/research/primes/notes/proofs/Wilsons.html

Wilson's Theorem.
Let p be an integer greater than one. p is prime if and only if (p-1)! = -1 (mod p).

You seem to have left out the first part.

-----Original Message-----
From: paxtontravis [mailto:paxtontravis@...]
Sent: Tuesday, March 01, 2005 11:06 AM
Subject: [PrimeNumbers] Wilson's Theory and the number 1

For those not familiar with Wilson's Theory: P is a prime number if,
and only if, (P-1)! + 1 is divisible by P.

Now take the number 1, (1-1)! + 1 = 0! + 1 = 2.
2 is divisible by 1, so why isn't 1 prime?

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