"On powers associated with Sierpiński numbers, Riesel numbers and Polig" by Mark Kozek, Michael Filaseta et al.
 

Publication Title

Journal of Number Theory

Volume

128

Publication Date

2008

Document Type

Article

Issue

7

First and Last Page

1916-1940

Abstract

We address conjectures of P. Erdős and conjectures of Y.-G. Chen concerning the numbers in the title. We obtain a variety of related results, including a new smallest positive integer that is simultaneously a Sierpiński number and a Riesel number and a proof that for every positive integer r, there is an integer k such that the numbers k,k2, k3,...,kr are simultaneously Sierpiński numbers.

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