On the diophantine equation \(1+p^ a=2^ b+2^ c\,p^ d\)
type: Item
instance of: scholarly article
title: On the diophantine equation \(1+p^ a=2^ b+2^ c\,p^ d\)
zbMATH Open document ID: 0589.10017
DOI: 10.1216/RMJ-1985-15-3-739
author: Leo J. Alex
author: Lorraine L. Foster
published in: Rocky Mountain Journal of Mathematics
publication date: 1985-01-01T00:00:00Z
review text: The exponential diophantine equation \(1+p^ a=2^ b+2^ c p^ d\), where a,b,c,d are nonnegative integers and p is an odd prime, is studied. All solutions to the equation are found when \(p\leq 499\). This work extends earlier work of the authors and J. L. Brenner.
Mathematics Subject Classification ID: 11D61
zbMATH DE Number: 3946219
zbMATH Keywords: exponential diophantine equation
reviewed by: Edward L. Cohen
MaRDI profile type: Publication
Wikidata QID: Q60174248
full work available at URL: rmj-1985-15-3-739
OpenAlex ID: W2072152981
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description: scientific article; zbMATH DE number 3946219