# Category:Fermat Numbers

This category contains results about Fermat Numbers.

Definitions specific to this category can be found in Definitions/Fermat Numbers.

A **Fermat number** is a natural number of the form $2^{\paren {2^n} } + 1$, where $n = 0, 1, 2, \ldots$.

The number $2^{\paren {2^n} } + 1$ is, in this context, often denoted $F_n$.

## Subcategories

This category has the following 5 subcategories, out of 5 total.

### F

### P

## Pages in category "Fermat Numbers"

The following 17 pages are in this category, out of 17 total.

### F

### P

- Prime Decomposition of 5th Fermat Number
- Prime Decomposition of 6th Fermat Number
- Prime Decomposition of 7th Fermat Number
- Prime Decomposition of 8th Fermat Number
- Prime Decomposition of 8th Fermat Number/Historical Note
- Prime Decomposition of 9th Fermat Number
- Primes of form Power of Two plus One
- Product of Sequence of Fermat Numbers plus 2
- Pépin's Test