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A038627 Number of solutions to n * pi(x) = x, where pi(x) = number of primes <= x. +0
13
4, 3, 3, 6, 7, 6, 6, 3, 9, 1, 18, 11, 12, 21, 3, 10, 33, 31, 32, 24, 8, 13, 32, 35, 4 (list; graph; listen)
OFFSET

2,1

LINKS

Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics.

EXAMPLE

11*pi(x) = x has only 1 solution, so a(11)=1

CROSSREFS

Cf. A038623-A038627.

Sequence in context: A052360 A006994 A102282 this_sequence A138187 A055525 A007568

Adjacent sequences: A038624 A038625 A038626 this_sequence A038628 A038629 A038630

KEYWORD

nonn

AUTHOR

Jud McCranie (j.mccranie(AT)comcast.net)

EXTENSIONS

Vasiliy Danilov (danilovv(AT)usa.net) proved that solutions exist for each n>1.

One more term from Labos E. (labos(AT)ana.sote.hu), Sep 05 2003

a[24]=32, a[25]=35, a[26]=4 from Labos E. (labos(AT)ana.sote.hu), Sep 12 2003

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Last modified July 25 02:12 EDT 2008. Contains 142294 sequences.


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