Fermat number

Definition

Let $n$ be a nonnegative integer. The $n^{th}$ Fermat number, denoted $F_n$, is defined as:

$F_n:=2^{2^n}+1$.

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

Relation with other properties

Weaker properties

• Proth number

Testing

The ID of the sequence in the Online Encyclopedia of Integer Sequences is A000215