A095008 - OEIS

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A095008

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

8

1, 1, 1, 3, 3, 7, 13, 22, 37, 71, 128, 231, 440, 807, 1519, 2872, 5371, 10204, 19341, 36759, 70179, 134241, 256856, 492936, 947272, 1822615, 3513691, 6781495, 13103816, 25348667, 49092241, 95168205, 184661253, 358636497, 697094872, 1356052491, 2639893495, 5142817901

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OFFSET

1,4

LINKS

Table of n, a(n) for n=1..38.

Antti Karttunen and John Moyer, C-program for computing the initial terms of this sequence.

Index entries for sequences related to occurrences of various subsets of primes in range ]2^n,2^(n+1)].

FORMULA

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

CROSSREFS

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

Sequence in context: A306665 A065876 A204858 * A214825 A230017 A134346

Adjacent sequences: A095005 A095006 A095007 * A095009 A095010 A095011

KEYWORD

nonn,less

AUTHOR

Antti Karttunen and Labos Elemer, Jun 01 2004

EXTENSIONS

a(34)-a(38) from Amiram Eldar, Jun 12 2024

STATUS

approved