Category:Sierpiński Numbers
Jump to navigation
Jump to search
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 members of the set:
- $\left\{{k 2^n + 1}\right\}$
are composite.
Subcategories
This category has the following 2 subcategories, out of 2 total.