A050503 Nearest integer to n*log(n).

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, 230, 236, 241

Offset

1,3

Comments

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

References

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

Links

Table of n, a(n) for n=1..59.

Mathematica

Table[Round[n Log[n]], {n, 100}] (* Harvey P. Dale, Sep 27 2023 *)

Crossrefs

Cf. A000040, A050502, A050504.

Sequence in context: A087068 A022851 A325946 * A265899 A362882 A265898

Adjacent sequences: A050500 A050501 A050502 * A050504 A050505 A050506

Keyword

nonn

Author

N. J. A. Sloane, Dec 27 1999

Status

approved