# Category:Definitions/Sierpiński Numbers

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

There are two kinds of Sierpiński number:

### Sierpiński Numbers of the First Kind

The Sierpiński numbers of the first kind are the integers $S_n$ in the form:

$S_n := n^n + 1$

for all integers $n$.

### Sierpiński Numbers of the Second Kind

A Sierpiński number of the second kind is an odd positive integer $k$ such that integers of the form $k2^n + 1$ are composite for all positive integers $n$.

That is, when $k$ is a Sierpiński number of the second kind, all members of the set:

$\left\{{k 2^n + 1}\right\}$

are composite.

## Subcategories

This category has the following 2 subcategories, out of 2 total.

## Pages in category "Definitions/Sierpiński Numbers"

The following 3 pages are in this category, out of 3 total.