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A085581 a(n) = floor( prime(n)/log(n) ). 4
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; refs; listen; history; text; internal format)
OFFSET

2,1

COMMENTS

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

Table of n, a(n) for n=2..73.

Chris K. Caldwell, How Many Primes Are There?

MATHEMATICA

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

CROSSREFS

Sequence in context: A202151 A120197 A243427 * A137902 A019527 A062836

Adjacent sequences:  A085578 A085579 A085580 * A085582 A085583 A085584

KEYWORD

easy,nonn

AUTHOR

Carlos Alves, Jul 06 2003

STATUS

approved

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Last modified June 30 19:12 EDT 2022. Contains 354945 sequences. (Running on oeis4.)