# Fermat number

This article describes a sequence of natural numbers. The parameter for the sequence is a positive integer (or sometimes, nonnegative integer).
View other one-parameter sequences
This article defines a property that can be evaluated for a natural number, i.e., every natural number either satisfies the property or does not satisfy the property.
View a complete list of properties of natural numbers

## Definition

Let  be a nonnegative integer. The  Fermat number, denoted , is defined as:

.

If it is prime, it is termed a Fermat prime.

## Occurrence

### Initial values

The initial values of  are 3, 5, 17, 257, 65537, 4294967297 View list on OEIS