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A095012 Number of 8k+7 primes (A007522) in range ]2^n,2^(n+1)]. 4

%I #12 Jul 24 2017 02:03:33

%S 0,1,0,2,1,4,6,12,17,36,62,118,222,395,773,1412,2699,5100,9690,18384,

%T 35074,67076,128446,246483,473737,911126,1757021,3390639,6551367,

%U 12675525,24545392,47584301,92330675

%N Number of 8k+7 primes (A007522) 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] + 7, PrimeQ]; Table[Count[s, _?(2^n < # < 2^(n + 1) &)], {n, nn}]] (* _Michael De Vlieger_, Jul 23 2017 *)

%Y a(n) = A095013(n)-A095009(n). Cf. A091129.

%K nonn

%O 1,4

%A _Antti Karttunen_ and _Labos Elemer_, Jun 01 2004

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Last modified April 24 22:17 EDT 2024. Contains 371964 sequences. (Running on oeis4.)