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A065515 Number of prime powers <= n. +0
8
1, 2, 3, 4, 5, 5, 6, 7, 8, 8, 9, 9, 10, 10, 10, 11, 12, 12, 13, 13, 13, 13, 14, 14, 15, 15, 16, 16, 17, 17, 18, 19, 19, 19, 19, 19, 20, 20, 20, 20, 21, 21, 22, 22, 22, 22, 23, 23, 24, 24, 24, 24, 25, 25, 25, 25, 25, 25, 26, 26, 27, 27, 27, 28, 28, 28, 29, 29, 29, 29, 30, 30, 31 (list; graph; listen)
OFFSET

1,2

COMMENT

a(n) > pi(n) = A000720(n).

LINKS

R. Zumkeller, Table of n, a(n) for n = 1..10000

EXAMPLE

There are 9 prime powers <= 12: 1=2^0, 2, 3, 4=2^2, 5, 7, 8=2^3, 9=3^2 and 11, so a(12) = 9.

CROSSREFS

Cf. A000040, A000961, A000720.

A025528 = a(n) - 1.

Sequence in context: A125051 A064067 A020892 this_sequence A070545 A091863 A123731

Adjacent sequences: A065512 A065513 A065514 this_sequence A065516 A065517 A065518

KEYWORD

nice,nonn

AUTHOR

Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Nov 27 2001

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Last modified December 3 16:57 EST 2008. Contains 151279 sequences.


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