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Search: id:A111656
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| A111656 |
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n-th prime appears n-th composite number times. |
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+0
2
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| 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19
(list; graph; listen)
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OFFSET
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1,1
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REFERENCES
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T. M. Apostol, Introduction to Analytic Number Theory, Springer-Verlag, 1976, page 2.
J. B. Rosser and L. Schoenfeld, Approximate formulas for some functions of prime numbers, Illinois J. Math. 6: 64-94 (1962).
L. Panaitopol, Some Properties of the Series of Composed Numbers, J. Inequalities in Pure and Applied Mathematics. 2(2): Article 38, 2000.
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LINKS
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Eric Weisstein's World of Mathematics, Composite Number."
Eric Weisstein's World of Mathematics, Prime Number."
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FORMULA
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A000040(n) appears A002808(n) times.
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CROSSREFS
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Cf. A000040, A002808, A111653, A111654, A111655, A111657.
Sequence in context: A100617 A076471 A165116 this_sequence A165118 A025423 A087233
Adjacent sequences: A111653 A111654 A111655 this_sequence A111657 A111658 A111659
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KEYWORD
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easy,nonn
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AUTHOR
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Jonathan Vos Post (jvospost3(AT)gmail.com), Aug 12 2005
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