Fermat's Little Theorem: Difference between revisions
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Note: This theorem is a special case of [[Euler's totient theorem]]. | Note: This theorem is a special case of [[Euler's totient theorem]]. | ||
== Corollary == | === Corollary === | ||
A frequently used corolary of Fermat's little theorem is <math> a^p \equiv a \pmod {p}</math>. | A frequently used corolary of Fermat's little theorem is <math> a^p \equiv a \pmod {p}</math>. | ||
Revision as of 11:57, 18 June 2006
Statement
If 
is an integer and 
is a prime number, then 
.
Note: This theorem is a special case of Euler's totient theorem.
Corollary
A frequently used corolary of Fermat's little theorem is 
.
As you can see, it is derived by multipling both sides of the theorem by a.
Credit
This theorem is credited to Pierre Fermat.
