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RE: [PrimeNumbers] Wilson's Theory and the number 1

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  • Hadley, Thomas H (Tom), ALABS
    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.

      Tom Hadley

      -----Original Message-----
      From: paxtontravis [mailto:paxtontravis@...]
      Sent: Tuesday, March 01, 2005 11:06 AM
      To: primenumbers@yahoogroups.com
      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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