Fermat number

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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


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


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


Initial values

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


Relation with other properties

Weaker properties

Other related properties