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A113609 Number of prime powers q<=n such that also q+2 is a prime power. +0
1
1, 2, 3, 3, 4, 4, 5, 5, 6, 6, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 9, 9, 10, 10, 11, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 13, 13, 13, 13, 13, 13, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 16, 16, 16, 16, 16, 16, 16 (list; graph; listen)
OFFSET

1,2

COMMENT

a(n) > A071538(n);

(25,27) is the samallest pair of prime powers (q,q+2) such that both q and q+2 are not primes, conjecture: there are more (but not < 10^6).

LINKS

Eric Weisstein's World of Mathematics, Prime Power

Index entries for sequences related to numbers of primes in various ranges

EXAMPLE

a(10) = #{(p^0,3),(2,2^2),(3,5),(5,7),(7,3^2),(3^2,11)} = 6.

CROSSREFS

Cf. A000961.

Sequence in context: A137687 A024745 A030581 this_sequence A067086 A005410 A120835

Adjacent sequences: A113606 A113607 A113608 this_sequence A113610 A113611 A113612

KEYWORD

nonn

AUTHOR

Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Jan 14 2006

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Last modified December 19 21:04 EST 2009. Contains 171054 sequences.


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