Category:Sierpiński Numbers

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This category contains results about Sierpiński Numbers.
Definitions specific to this category can be found in Definitions/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 elements of the set:

$\set {k 2^n + 1}$

are composite.


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