Article ID Journal Published Year Pages File Type
4595038 Journal of Number Theory 2008 25 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory