# Fermat's little theorem

This English edition is an AI candidate and does not yet have an OCME Atlas (GPT-6) Twin closure receipt.

[Catalogue presentation and source-binding data](https://ocme.evemisslab.com/data/i18n/catalogue.en.json)



## [Fermat's little theorem](https://ocme.evemisslab.com/en/atlas/atlas-fermat-little-theorem/)

For a prime p, a^p is congruent to a modulo p; if p does not divide a, a^(p−1) is congruent to1 modulo p. The converse fails.

atlas-fermat-little-theorem · canonical_mko

[Fermat's little theorem](https://ocme.evemisslab.com/en/mko/mko-fermat-little-theorem/)

## Prerequisite nodes


- [Prime natural number](https://ocme.evemisslab.com/en/atlas/atlas-prime-number/)
- [Natural-number congruence modulo a positive modulus](https://ocme.evemisslab.com/en/atlas/atlas-modular-congruence/)
- [Natural-number powers and principal square roots](https://ocme.evemisslab.com/en/atlas/atlas-power-root/)






