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A050503 Nearest integer to n*ln(n). +0
4
0, 1, 3, 6, 8, 11, 14, 17, 20, 23, 26, 30, 33, 37, 41, 44, 48, 52, 56, 60, 64, 68, 72, 76, 80, 85, 89, 93, 98, 102, 106, 111, 115, 120, 124, 129, 134, 138, 143, 148, 152, 157, 162, 167, 171, 176, 181, 186, 191, 196, 201, 205, 210, 215, 220, 225 (list; graph; listen)
OFFSET

1,3

COMMENT

The prime number theorem states that the n-th prime is asymptotic to n*ln(n).

REFERENCES

Cf. G. H. Hardy and E. M. Wright, An Introduction to the Theory of Numbers, 5th ed., Oxford Univ. Press, 1979, Theorem 8.

CROSSREFS

Cf. A000040, A050502, A050504.

Sequence in context: A057349 A087068 A022851 this_sequence A133869 A085197 A164910

Adjacent sequences: A050500 A050501 A050502 this_sequence A050504 A050505 A050506

KEYWORD

nonn

AUTHOR

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

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Last modified November 29 12:46 EST 2009. Contains 167659 sequences.


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