Euler's Totient Theorem
Revision as of 20:42, 4 November 2006 by Boy Soprano II (talk | contribs) (Euler's totient theorem moved to Euler's Totient Theorem: Capitalization policy is currently to capitalize names of theorems, I believe (see [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=97741 here]).)
Statement
Let 
be Euler's totient function. If 
is an integer and 
is a positive integer relatively prime to 
, then 
.
Credit
This theorem is credited to Leonhard Euler. It is a generalization of Fermat's Little Theorem, which specifies that 
is prime. For this reason it is known as Euler's generalization and Fermat-Euler as well.
