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dc.contributor.authorBroughan, Kevin A.
dc.contributor.authorBarnett, A. Ross
dc.date.accessioned2009-02-18T02:16:28Z
dc.date.available2009-02-18T02:16:28Z
dc.date.issued2009
dc.identifier.citationBroughan, K.A. & Barnett, A.R. (2009). On the subsequence of primes having prime subscripts. Journal of Integer Sequences, 12(2009), Article 09.2.3.en
dc.identifier.urihttps://hdl.handle.net/10289/2031
dc.description.abstractWe explore the subsequence of primes with prime subscripts, (qn), and derive its density and estimates for its counting function. We obtain bounds for the weighted gaps between elements of the subsequence and show that for every positive integer m there is an integer arithmetic progression (an+b : n ∈ ℕ) with at least m of the (qn) satisfying qn = an+b.en
dc.format.mimetypeapplication/pdf
dc.language.isoen
dc.publisherUniversity of Waterlooen_NZ
dc.relation.urihttp://www.emis.de/journals/JIS/VOL12/Broughan/broughan16.htmlen
dc.rightsThis article has been published in Journal of Integer Sequences. © 2009. Kevin A. Broughan & A. Ross Barnett.en
dc.subjectprime-primeen
dc.subjectprime-prime number theoremen
dc.subjectprime-prime gapsen
dc.subjectprime-primes in progressionsen
dc.titleOn the subsequence of primes having prime subscriptsen
dc.typeJournal Articleen
dc.relation.isPartOfJournal of Integer Sequencesen_NZ
pubs.begin-page1en_NZ
pubs.editionArticle 09.2.3en_NZ
pubs.elements-id33640
pubs.end-page12en_NZ
pubs.issue2en_NZ
pubs.volume12en_NZ


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