Category:Definitions/Sierpiński Numbers
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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 elements of the set:
- $\set {k 2^n + 1}$
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.