# Difference between revisions of "Fermat"

(Created page with 'Pierre de Fermat was a French lawyer and amateur mathematician. A number of different mathematical definitions, theorems, conjectures, and methods are named after him. {{:Fermat...') |
|||

Line 1: | Line 1: | ||

Pierre de Fermat was a French lawyer and amateur mathematician. A number of different mathematical definitions, theorems, conjectures, and methods are named after him. | Pierre de Fermat was a French lawyer and amateur mathematician. A number of different mathematical definitions, theorems, conjectures, and methods are named after him. | ||

+ | |||

+ | ==Mathematics== | ||

{{:Fermat (mathematics)}} | {{:Fermat (mathematics)}} |

## Latest revision as of 23:48, 5 May 2009

Pierre de Fermat was a French lawyer and amateur mathematician. A number of different mathematical definitions, theorems, conjectures, and methods are named after him.

## Mathematics

### In number theory

**Fermat's little theorem**: If is a prime number and is an integer that is not a multiple of , then divides .

Primary subject wiki entry: Number:Fermat's little theorem.

**Fermat's last theorem**: The equation:

has no positive integer solutions for with .

Primary subject wiki entry: Number:Fermat's last theorem.

**Fermat number**: This is a natural number of the form where is a nonnegative integer.

Primary subject wiki entry: Number:Fermat number.

Other subject wiki entries: Groupprops:Fermat number.

**Fermat prime**: This is a prime number of the form , where is a nonnegative integer.

Primary subject wiki entry: Number:Fermat prime.

Other subject wiki entries: Groupprops:Fermat prime.

**Fermat pseudoprime**: A composite natural number is termed a Fermat pseudoprime to base , for an integer , if and are relatively prime and is a multiple of .

Primary subject wiki entry: Number:Fermat pseudoprime.

### In geometry

**Fermat point of a triangle**: This is defined as the point that minimizes the sum of distances from all the three vertices of the triangle.