Fermat (mathematics)

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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.