Difference between revisions of "Fermat's Little Theorem"
IntrepidMath (talk | contribs) |
|||
| Line 4: | Line 4: | ||
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 == | ||
| + | |||
| + | A frequently used corolary of Fermat's little theorem is <math> a^p \equiv a \pmod {p}</math>. | ||
| + | As you can see, it is derived by multipling both sides of the theorem by a. | ||
=== Credit === | === Credit === | ||
Revision as of 11:57, 18 June 2006
Contents
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.