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Upper twin prime-indexed primes in the sequence of prime(prime(i)).
1

%I #6 Mar 11 2015 04:18:52

%S 11,17,283,25307,51137,70123,82763,124783,167119,178819,190579,199039,

%T 200989,201833,285983,334429,418637,444529,470083,470213,495617,

%U 529519,556697,582017,637003,653623,660563,725327,808603,880427,895009,961189,1015367,1088393

%N Upper twin prime-indexed primes in the sequence of prime(prime(i)).

%C The sequence prime(prime(i)) for i = 1, 2, 3,... is in A006450. The paper by Bayless et al. discusses these primes.

%H Jonathan Bayless, Dominic Klyve, and Tomás Oliveira e Silva, <a href="http://www.emis.de/journals/INTEGERS/papers/n43/n43.Abstract.html">New Bounds and Computations on Prime-Indexed Primes</a>, INTEGERS, Electronic J. of Combinatorial Number Theory, Vol. 13, Paper A43, 2013.

%t nn = 10000; t = Table[Prime[Prime[Prime[n]]], {n, nn}]; s = Select[Range[nn - 1], t[[# + 1]] - t[[#]] == 6 &]]; t[[s]] + 6

%Y Cf. A006450, A228054.

%K nonn

%O 1,1

%A _T. D. Noe_, Aug 10 2013