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A095011 Number of 8k+5 primes (A007521) in range ]2^n,2^(n+1)]. 4

%I #12 Jul 24 2017 02:03:25

%S 0,1,1,1,3,2,6,11,20,35,63,118,216,407,759,1424,2686,5094,9652,18472,

%T 35068,67068,128421,246403,473647,911479,1757076,3390256,6552075,

%U 12675294,24545280,47583568,92332958

%N Number of 8k+5 primes (A007521) in range ]2^n,2^(n+1)].

%H A. Karttunen and J. Moyer, <a href="/A095062/a095062.c.txt">C-program for computing the initial terms of this sequence</a>

%H <a href="/index/Pri#primesubsetpop2">Index entries for sequences related to occurrences of various subsets of primes in range ]2^n,2^(n+1)]</a>

%t Module[{nn = 21, s}, s = Select[8 Range[0, 2^nn] + 5, PrimeQ]; Table[Count[s, _?(2^n < # < 2^(n + 1) &)], {n, nn}]] (* _Michael De Vlieger_, Jul 23 2017 *)

%Y a(n) = A095014(n)-A095010(n). Cf. A091128.

%K nonn

%O 1,5

%A _Antti Karttunen_ and _Labos Elemer_, Jun 01 2004

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Last modified May 24 08:42 EDT 2024. Contains 372773 sequences. (Running on oeis4.)