

A111657


nth composite number appears nth prime times.


1



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
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OFFSET

1,1


REFERENCES

T. M. Apostol, Introduction to Analytic Number Theory, SpringerVerlag, 1976, page 2.
L. Panaitopol, Some Properties of the Series of Composed [Composite] Numbers, J. Inequalities in Pure and Applied Mathematics. 2(2): Article 38, 2000.
J. B. Rosser and L. Schoenfeld, Approximate formulas for some functions of prime numbers, Illinois J. Math. 6: 6494 (1962).


LINKS

Table of n, a(n) for n=1..75.
Eric Weisstein's World of Mathematics, Composite Number."
Eric Weisstein's World of Mathematics, Prime Number."


FORMULA

A002808(n) appears A000040(n) times.


CROSSREFS

Cf. A000040, A002808, A111653, A111654, A111655, A111656.
Sequence in context: A019559 A274636 A198697 * A049751 A196594 A190303
Adjacent sequences: A111654 A111655 A111656 * A111658 A111659 A111660


KEYWORD

easy,nonn


AUTHOR

Jonathan Vos Post, Aug 12 2005


STATUS

approved



