Vipul: Created page with '{{natural number property}} ==Definition== A '''Sierpinski number''' is a natural number $k$ such that, for all natural numbers $n$ , the number $...'$

2009-04-20T21:00:15Z

Created page with '{{natural number property}} ==Definition== A '''Sierpinski number''' is a natural number <math>k</math> such that, for all natural numbers <math>n</math>, the number <math>...'

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{{natural number property}}

==Definition==

A '''Sierpinski number''' is a [[natural number]] <math>k</math> such that, for all natural numbers <math>n</math>, the number <math>k\cdot 2^n + 1</math> is composite.

It is known that <math>78,557</math> 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 <math>k \cdot 2^n - 1</math>.

Sierpinski number - Revision history

Vipul: Created page with '{{natural number property}} ==Definition== A '''Sierpinski number''' is a natural number k such that, for all natural numbers n, the number ...'

Vipul: Created page with '{{natural number property}} ==Definition== A '''Sierpinski number''' is a natural number $k$ such that, for all natural numbers $n$ , the number $...'$