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A050503
Nearest integer to n*log(n).
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, 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.
MATHEMATICA
Table[Round[n Log[n]], {n, 100}] (* Harvey P. Dale, Sep 27 2023 *)
CROSSREFS
KEYWORD
nonn
AUTHOR
N. J. A. Sloane, Dec 27 1999
STATUS
approved