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Number of 4k+3 primes (A002145) in range ]2^n,2^(n+1)].
8

%I #14 Jun 12 2024 03:48:37

%S 1,1,1,3,3,7,13,22,37,71,128,231,440,807,1519,2872,5371,10204,19341,

%T 36759,70179,134241,256856,492936,947272,1822615,3513691,6781495,

%U 13103816,25348667,49092241,95168205,184661253,358636497,697094872,1356052491,2639893495,5142817901

%N Number of 4k+3 primes (A002145) in range ]2^n,2^(n+1)].

%H Antti Karttunen and John 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>.

%F a(n) = A036378(n) - A095007(n) = A095010(n) + A095012(n) = A095092(n) + A095093(n).

%Y Cf. A002145, A036378, A095007, A095010, A095012, A095092, A095093.

%K nonn,less

%O 1,4

%A _Antti Karttunen_ and _Labos Elemer_, Jun 01 2004

%E a(34)-a(38) from _Amiram Eldar_, Jun 12 2024