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Search: id:A111657
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| A111657 |
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n-th composite number appears n-th prime times. |
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+0
2
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| 4, 4, 6, 6, 6, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15
(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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A002808(n) appears A000040(n) times.
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CROSSREFS
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Cf. A000040, A002808, A111653, A111654, A111655, A111656.
Adjacent sequences: A111654 A111655 A111656 this_sequence A111658 A111659 A111660
Sequence in context: A016710 A121064 A019559 this_sequence A049751 A113523 A132882
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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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