A064659 a(n) = round(prime(n) - n*log(n)).

2, 2, 2, 1, 3, 2, 3, 2, 3, 6, 5, 7, 8, 6, 6, 9, 11, 9, 11, 11, 9, 11, 11, 13, 17, 16, 14, 14, 11, 11, 21, 20, 22, 19, 25, 22, 23, 25, 24, 25, 27, 24, 29, 26, 26, 23, 30, 37, 36, 33, 32, 34, 31, 36, 37, 38, 39, 35, 36, 35, 32, 37, 46, 45, 42, 40, 49, 50, 55

Offset: 1

Author

N. J. A. Sloane, Oct 10 2001

Keywords

• nonn

Links

• Harry J. Smith, Table of n, a(n) for n = 1..1000

Crossrefs

Cf. A064658, A059111.

Programs

PARI

{ default(realprecision, 100); for (n = 1, 1000, write("b064659.txt", n, " ", round(prime(n) - n*log(n))); ) } \\ Harry J. Smith, Jun 25 2009

Formula

a(n) ~ n*log(log(n)) * (1 + 1/log(n) - 1/log(log(n)) - 2/(log(n)*log(log(n)))). - Vaclav Kotesovec, May 23 2020