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%I #21 Mar 02 2021 06:00:43
%S 3,9,13,17,30,32,35,39,52,55,62,64,69,76,79,81,94,97,103,109,113,119,
%T 132,135,139,154,160,165,170,173,176,185,196,201,208,212,215,220,223,
%U 225,234,239,245,248,253,265,270,277
%N Numbers k such that prime(k) == 5 (mod 9).
%C The asymptotic density of this sequence is 1/6 (by Dirichlet's theorem). - _Amiram Eldar_, Mar 02 2021
%H G. C. Greubel, <a href="/A163595/b163595.txt">Table of n, a(n) for n = 1..5000</a>
%F A000040(a(n)) = A061240(n).
%F a(n) = A000720(A061240(n)).
%p for n from 1 to 300 do p := ithprime(n) ; if (p mod 9 ) = 5 then printf("%d,",n) ; fi; od: # _R. J. Mathar_, Aug 01 2009
%p A163595 := proc(n) option remember ; local a; if n = 1 then 3 ; else for a from procname(n-1)+1 do if ithprime(a) mod 9 = 5 then return(a) ; fi; end do: end if; end proc: seq(A163595(n),n=1..100) ; # _R. J. Mathar_, Oct 10 2009
%t Select[Range[300],Mod[Prime[#],9]==5&] (* _Harvey P. Dale_, Apr 25 2011 *)
%Y Cf. A000040, A000720, A061240, A093012.
%K nonn
%O 1,1
%A _Juri-Stepan Gerasimov_, Aug 01 2009
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