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On the subsequence of primes having prime subscripts

Abstract
We 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.
Type
Journal Article
Type of thesis
Series
Citation
Broughan, K.A. & Barnett, A.R. (2009). On the subsequence of primes having prime subscripts. Journal of Integer Sequences, 12(2009), Article 09.2.3.
Date
2009
Publisher
University of Waterloo
Degree
Supervisors
Rights
This article has been published in Journal of Integer Sequences. © 2009. Kevin A. Broughan & A. Ross Barnett.