kidzsearch.com > wiki Explore:images videos games

# Fermat's little theorem

KidzSearch Safe Wikipedia for Kids.

**Fermat's little theorem** is a theorem from number theory. It is named after Pierre de Fermat who found it in the 17th century. It is about the properties of primes. It says that if *a* is a number, and *p* is a prime, then

- [math]a^p \equiv a\,(\mathrm{mod}\,p),[/math]

If a is not a multiple of p, then the following is often used:

- [math]a^{p-1} \equiv 1\,(\mathrm{mod}\,p)[/math]