Difference between revisions of "Euler's Totient Theorem"
(headers) |
(correct category) |
||
| Line 15: | Line 15: | ||
* [[Carmichael function]] | * [[Carmichael function]] | ||
| − | [[Category:Number | + | [[Category:Number theory]] |
[[Category:Theorems]] | [[Category:Theorems]] | ||
Revision as of 19:31, 4 September 2008
Euler's Totient Theorem is a theorem closely related to his function of the same name.
Theorem
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.
