# Category:Proth Numbers

This category contains results about Proth Numbers.
Definitions specific to this category can be found in Definitions/Proth Numbers.

A Proth number is a natural number of the form:

$N = k \times 2^n + 1$

where:

$k$ is an odd integer
$n$ is a positive integer
$2^n > k$

The condition is included, otherwise every odd integer greater than $1$ would be a Proth number.

## Subcategories

This category has only the following subcategory.