Difference between revisions of "Fermat"

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

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.