Difference between revisions of "Euler's Totient Theorem"
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* [[Euler's totient function]] | * [[Euler's totient function]] | ||
* [[Carmichael function]] | * [[Carmichael function]] | ||
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| + | [[Category:Number Theory]] | ||
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| + | [[Category:Theorems]] | ||
Revision as of 21:38, 14 October 2007
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.
