Category:Definitions/Proth Numbers

This category contains definitions related to Proth Numbers.
Related results can be found in Category: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.