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A050499 Nearest integer to n/ln(n). +0
8
3, 3, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 11, 11, 11, 11, 11, 12, 12, 12, 12, 12, 13, 13, 13, 13, 13, 14, 14, 14, 14, 14, 14, 15, 15, 15, 15, 15, 16, 16, 16, 16, 16, 16, 17, 17, 17, 17 (list; graph; listen)
OFFSET

2,1

COMMENT

The prime number theorem states that the number of primes <= x is asymptotic to x/ln(x).

n/ln(n)=n/log(n) * 1/ln(10)=n*log(e)/log(n)=n*A002285/log(n) [From Eric Desbiaux (moongerms(AT)wanadoo.fr), Jun 27 2009]

REFERENCES

Cf. G. H. Hardy and E. M. Wright, An Introduction to the Theory of Numbers, 5th ed., Oxford Univ. Press, 1979, Theorem 6.

CROSSREFS

Cf. A000720, A050500, A050501.

Sequence in context: A081168 A111233 A105159 this_sequence A147752 A114227 A112593

Adjacent sequences: A050496 A050497 A050498 this_sequence A050500 A050501 A050502

KEYWORD

nonn

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com), Dec 27 1999

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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