Primes of the form \([c^ p]\)
type: Item
instance of: scholarly article
title: Primes of the form \([c^ p]\)
zbMATH Open document ID: 0841.11045
DOI: 10.1007/BF02622100
author: Glyn Harman
author: Roger C. Baker
published in: Mathematische Zeitschrift
publication date: 1996-07-16T00:00:00Z
full work available at URL: https://eudml.org/doc/174835
review text: We combine techniques from multiplicative number theory and metrical number theory to prove that for almost all \(c>1\) the sequence \([c^p ]\), where \(p\) denotes a prime and \([\;]\) indicates integer part, contains infinitely many primes. We also show that the set of \(c>1\) for which \([c^n ]\) is never prime is uncountable.
Mathematics Subject Classification ID: 11N05
Mathematics Subject Classification ID: 11K99
zbMATH DE Number: 861935
zbMATH Keywords: distribution of primes in integer part sequences
zbMATH Keywords: prime powers of integers
MaRDI profile type: Publication
cites work: Q3720674
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Wikidata QID: Q126264343
OpenAlex ID: W1986152895
description: scientific article; zbMATH DE number 861935