A095007 - OEIS

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A095007

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

3

0, 1, 1, 2, 4, 6, 10, 21, 38, 66, 127, 233, 432, 805, 1511, 2837, 5378, 10186, 19294, 36827, 70157, 133975, 256852, 492882, 946848, 1823129, 3513599, 6780412, 13103462, 25348870, 49090415, 95167380, 184662052, 358630671, 697097364, 1356051342, 2639870329, 5142823877

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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) - A095008(n) = A095009(n) + A095011(n).

CROSSREFS

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

Sequence in context: A256056 A293281 A164143 * A005194 A171447 A207667

Adjacent sequences: A095004 A095005 A095006 * A095008 A095009 A095010

KEYWORD

nonn

AUTHOR

Antti Karttunen and Labos Elemer, Jun 01 2004

EXTENSIONS

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

STATUS

approved