Sierpinski number
From Number
This article defines a property that can be evaluated for a natural number, i.e., every natural number either satisfies the property or does not satisfy the property.
View a complete list of properties of natural numbers
Definition
A Sierpinski number is a natural number 
such that, for all natural numbers 
, the number 
is composite.
It is known that 
is a Sierpinski number. The Sierpinski problem asks whether this is the smallest Sierpinski number.
Relation with other properties
- Riesel number: The analogue of Sierpinski number for the expression
.
