On powers associated with Sierpiński numbers, Riesel numbers and Polignac's conjecture
type: Item
instance of: scholarly article
title: On powers associated with Sierpiński numbers, Riesel numbers and Polignac's conjecture
zbMATH Open document ID: 1221.11003
author: Michael Filaseta
author: Carrie Finch
author: Mark Kozek
published in: Journal of Number Theory
publication date: 2008-12-08T00:00:00Z
Mathematics Subject Classification ID: 11A07
Mathematics Subject Classification ID: 11B25
Mathematics Subject Classification ID: 11A51
zbMATH DE Number: 5379227
zbMATH Keywords: covering system
zbMATH Keywords: Polignac's conjecture
zbMATH Keywords: Riesel number
zbMATH Keywords: Sierpiński number
MaRDI profile type: Publication
full work available at URL: j.jnt.2008.02.004
OpenAlex ID: W2153972306
Wikidata QID: Q123114511
cites work: Factorizations of 𝑏ⁿ±1, 𝑏=2, 3, 5, 6, 7, 10, 11, 12 Up to High Powers
cites work: On integers of the forms \(k^r-2^n\) and \(k^r2^n+1\).
cites work: On integers of the forms \(k\pm 2^{n}\) and \(k2^{n}\pm 1\)
cites work: On the Equations zm = F (x, y ) and Axp + Byq = Czr
cites work: Q5802215
cites work: Q4431737
cites work: Unsolved problems in number theory
cites work: Q4848398
cites work: Sur un problème concernant les nombres \(k\cdot 2^n + 1\)
cites work: Q3931455
cites work: Q5795579
DOI: 10.1016/J.JNT.2008.02.004
description: scientific article; zbMATH DE number 5379227