
Number Theory Number Theory Math Forum 
 LinkBack  Thread Tools  Display Modes 
April 24th, 2017, 12:18 AM  #1 
Newbie Joined: Apr 2011 Posts: 20 Thanks: 0  What is the most motivating way to introduce Wilson's Theorem?
What is the most motivating way to introduce Wilson’s Theorem? Why is Wilson’s theorem useful? With Fermat’s little Theorem we can say that working with residue 1 modulo prime p makes life easier but apart from working with a particular (p1) factorial of a prime what other reasons are there for Wilson’s theorem to be useful? Are there any good resources on this topic? 
April 25th, 2017, 07:52 AM  #2 
Senior Member Joined: Dec 2012 Posts: 942 Thanks: 23 
Because is the grandpa of the most simple formula that describe all the Odd Primes: $z= (n1)!/n$ (with n=Even it fails just in the case n=4) ...and because this $z$ is obviously connected to the Riemann's one since also here we can see trivial zeros (in case $z\in \mathbb{R}$), and non trivial ones (in case $z\in \mathbb{Q}$) so having a "Rest" (the non integer part of $z$). ...it's enough ? 

Tags 
introduce, motivating, theorem, wilson 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
wilson theorem  agustin975  Number Theory  15  April 8th, 2013 05:44 AM 
Wilson's Theorem  Scooter  Number Theory  9  October 21st, 2010 12:10 PM 
Wilson's theorem proof  Ben92  Number Theory  1  July 15th, 2009 11:01 AM 
Wilson theorem new formulation?  momo  Number Theory  1  April 11th, 2009 09:49 PM 
Wilson's theorem question  mathsss22  Number Theory  1  November 8th, 2008 08:26 PM 