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A085581 Floor( prime(n)/log(n) ) +0
1
4, 4, 5, 6, 7, 8, 9, 10, 12, 12, 14, 15, 16, 17, 19, 20, 21, 22, 23, 23, 25, 26, 28, 30, 30, 31, 32, 32, 33, 36, 37, 39, 39, 41, 42, 43, 44, 45, 46, 48, 48, 50, 51, 51, 51, 54, 57, 58, 58, 59, 60, 60, 62, 64, 65, 66, 66, 67, 68, 68, 70, 74, 74, 74, 75, 78, 79, 81, 82, 82, 83, 85 (list; graph; listen)
OFFSET

2,1

COMMENT

Related to the prime number theorem, Prime[k] ~ k Log[k].

REFERENCES

G. H. Hardy and E. M. Wright, An introduction to the theory of numbers, Oxford University Press, 1979.

LINKS

Author?, How Many Primes Are There?

MATHEMATICA

Table[Floor[Prime[k]/Log[k + 1]], {k, 1, 1000}]

CROSSREFS

Sequence in context: A114884 A132704 A120197 this_sequence A137902 A019527 A062836

Adjacent sequences: A085578 A085579 A085580 this_sequence A085582 A085583 A085584

KEYWORD

easy,nonn

AUTHOR

Carlos Alves (cjsalves(AT)gmail.com), Jul 06 2003

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Last modified November 25 08:46 EST 2009. Contains 167481 sequences.


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