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Numbers n such that A174008(k)=n-th prime.
1

%I #7 Apr 16 2014 00:46:37

%S 1,4,5,11,13,16,18,19,20,25,33,37,38,39,40,48,52,59,60,69,72,73,76,79,

%T 84,85,86,87,96,98,104,110,117,122,135,136,140,142,145,151,153,160,

%U 162,173,179,183,186,191,192,199,200,206,214,218,221,226,232,234,239,242

%N Numbers n such that A174008(k)=n-th prime.

%C n-th prime in sequence A174008.

%e a(1)=1 because A174008(1)=2=1st prime;

%e a(2)=4 because A174008(2)=7=4th prime;

%e a(3)=5 because A174008(3)=11=5th prime;

%e a(4)=11 because A174008(7)=31=11th prime.

%p From _R. J. Mathar_, Apr 28 2010: (Start)

%p A163300 := proc(n) option remember ; if n = 1 then 0; else for a from procname(n-1)+2 by 2 do if not isprime(a) then return a ; end if; end do; end if; end proc:

%p A174008 := proc(n) ithprime(n)+A163300(n) ; end proc:

%p A174009 := proc(k) p := A174008(k) ; if isprime(p) then printf("%d,", numtheory[pi](p) ) ; end if; return ; end proc:

%p seq(A174009(k),k=1..400 ) ; (End)

%Y Cf. A000040, A001477, A078916, A163300, A174008.

%K nonn

%O 1,2

%A _Juri-Stepan Gerasimov_, Mar 05 2010

%E More terms from _R. J. Mathar_, Apr 28 2010