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Number of 4k+1 primes (A002144) in range ]2^n,2^(n+1)].
3

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

%S 0,1,1,2,4,6,10,21,38,66,127,233,432,805,1511,2837,5378,10186,19294,

%T 36827,70157,133975,256852,492882,946848,1823129,3513599,6780412,

%U 13103462,25348870,49090415,95167380,184662052,358630671,697097364,1356051342,2639870329,5142823877

%N Number of 4k+1 primes (A002144) 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) - A095008(n) = A095009(n) + A095011(n).

%Y Cf. A002144, A036378, A095008, A095009, A095011.

%K nonn

%O 1,4

%A _Antti Karttunen_ and _Labos Elemer_, Jun 01 2004

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