A095013 - OEIS

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A095013

Number of 8k+-1 primes (A001132) in range [2^n,2^(n+1)].

4

0, 1, 0, 3, 2, 8, 10, 22, 35, 67, 126, 233, 438, 793, 1525, 2825, 5391, 10192, 19332, 36739, 70163, 133983, 256877, 492962, 946938, 1822776, 3513544, 6780795, 13102754, 25349101, 49090527, 95168113, 184659769, 358635803, 697092152, 1356042601, 2639892053, 5142809798

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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) - A095014(n) = A095009(n) + A095012(n).

CROSSREFS

Cf. A001132, A036378, A095009, A095012, A095014.

Sequence in context: A060921 A163356 A209360 * A094188 A088551 A373288

Adjacent sequences: A095010 A095011 A095012 * A095014 A095015 A095016

KEYWORD

nonn

AUTHOR

Antti Karttunen and Labos Elemer, Jun 01 2004

EXTENSIONS

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

STATUS

approved