On the Subsequence of Primes Having Prime Subscripts
Kevin A. Broughan and A. Ross Barnett
University of Waikato
Hamilton, New Zealand
We explore the subsequence of primes with prime
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.
Full version: pdf,
(Concerned with sequence
Received December 5 2008;
revised version received January 14 2009.
Published in Journal of Integer Sequences, January 17 2009.
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