Generalized Fermat number

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 $n$ be a nonnegative integer and $b$ be any natural number. The generalized Fermat number with parameters $b$ and $n$ is the number:

$b^{2^{n}}+1$.

Relation with other properties

Stronger properties

• Fermat number

Weaker properties

• Generalized Cullen number