Sierpinski number

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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 .