Can anyone explain Fermats little theorem ?

Dear Sathyaram,

Fermats little theorem (so named to distinguish it from Fermats last theorem) states that if p is a prime number, then for any integer a, a ^p − a will be evenly divisible by p. This can be expressed in the notation of modular arithmetic as follows:

A variant of this theorem is stated in the following form: if p is a prime and a is an integer coprime to p, then a ^p−1 − 1 will be evenly divisible by p. In the notation of modular arithmetic:

Fermats little theorem is the basis for the Fermat primality test. The theorem is named after Pierre de Fermat.

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