A059111 a(n) = floor(prime(n) - n*log(n)).

2, 1, 1, 1, 2, 2, 3, 2, 3, 5, 4, 7, 7, 6, 6, 8, 10, 8, 11, 11, 9, 10, 10, 12, 16, 16, 14, 13, 11, 10, 20, 20, 21, 19, 24, 21, 23, 24, 24, 25, 26, 24, 29, 26, 25, 22, 30, 37, 36, 33, 32, 33, 30, 35, 36, 37, 38, 35, 36, 35, 32, 37, 45, 44, 41, 40, 49, 50, 54, 51, 50, 51, 53, 54, 55

Offset: 1

Author

Henry Bottomley, Jan 04 2001

Keywords

• nonn

Links

• Harry J. Smith, Table of n, a(n) for n = 1..1000
• C. K. Caldwell, How Many Primes Are There?
• Eric Weisstein's World of Mathematics, Prime formulas

Crossrefs

Cf. A064658, A064659, A059112.

Programs

Magma

[ Floor(NthPrime(n)-n*Log(n)): n in [1..75] ];  // Bruno Berselli, May 02 2011

Mathematica

Table[Floor[Prime[n]-n Log[n]],{n,100}] (* Harvey P. Dale, May 02 2011 *)

PARI

{ default(realprecision, 100); for (n = 1, 1000, write("b059111.txt", n, " ", floor(prime(n) - n*log(n))); ) } \\ Harry J. Smith, Jun 25 2009

Extensions

Definition corrected by Harry J. Smith, Jun 24 2009