# Fermat's theorem

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The works of the 17th-century mathematician [Pierre de Fermat](/source/Pierre_de_Fermat) engendered many [theorem](/source/theorem)s. '''Fermat's theorem''' may refer to one of the following theorems:

* [Fermat's Last Theorem](/source/Fermat's_Last_Theorem), about integer solutions to ''a''<sup>''n''</sup>&nbsp;+&nbsp;''b''<sup>''n''</sup>&nbsp;=&nbsp;''c''<sup>''n''</sup>
* [Fermat's little theorem](/source/Fermat's_little_theorem), a property of prime numbers
* [Fermat's theorem on sums of two squares](/source/Fermat's_theorem_on_sums_of_two_squares), about primes expressible as a sum of squares
* [Fermat's theorem (stationary points)](/source/Fermat's_theorem_(stationary_points)), about local maxima and minima of differentiable functions
* [Fermat's principle](/source/Fermat's_principle), about the path taken by a ray of light
* [Fermat polygonal number theorem](/source/Fermat_polygonal_number_theorem), about expressing integers as a sum of polygonal numbers
* [Fermat's right triangle theorem](/source/Fermat's_right_triangle_theorem), about squares not being expressible as the difference of two fourth powers

==See also==
* [List of things named after Pierre de Fermat](/source/List_of_things_named_after_Pierre_de_Fermat)

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Category:Set index articles on mathematics

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Adapted from the Wikipedia article [Fermat's theorem](https://en.wikipedia.org/wiki/Fermat's_theorem) by Wikipedia contributors ([contributor history](https://en.wikipedia.org/wiki/Fermat's_theorem?action=history)). Available under [Creative Commons Attribution-ShareAlike 4.0 International](https://creativecommons.org/licenses/by-sa/4.0/). Changes may have been made.