# Fermat prime

From Number

This article defines a property that can be evaluated for a prime number. In other words, every prime number either satisfies this property or does not satisfy this property.

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## Definition

A **Fermat prime** is a Fermat number that is also a prime number. In other words, it is a prime number of the form , where is a nonnegative integer.

It turns out that if is prime for a natural number, then for some nonnegative integer . Thus, a Fermat prime can also be defined as a prime of the form for some natural number .