A073719 a(n) = floor(prime(2^n)/composite(2^n)).

0, 0, 0, 1, 2, 2, 3, 4, 5, 5, 6, 7, 8, 8, 9, 10, 11, 12, 12, 13, 14, 15, 15, 16, 17, 18, 18, 19, 20, 20, 21, 22, 23, 23, 24, 25, 26, 26, 27, 28, 28, 29, 30, 31, 31, 32, 33, 33, 34, 35, 36, 36, 37, 38, 38, 39, 40, 41, 41, 42, 43, 43, 44, 45, 46, 46, 47, 48, 48, 49, 50

Offset: 0

Author

Labos Elemer, Aug 05 2002

Keywords

• nonn

Crossrefs

Cf. A000040, A000079, A002818, A033844, A065856, A073459.

Programs

Mathematica

c[x_] := FixedPoint[x + PrimePi[#] + 1 &, x]; Table[Floor[Prime[z = 2^n]/c[z]], {n, 40}] (* Jayanta Basu, Jul 08 2013 *)

Formula

a(n) = floor(A000040(A000079(n))/A002818(A000079(n))).

a(n) = floor(A033844(n)/A065856(n)). - Charles R Greathouse IV, Jul 08 2013

Extensions

Offset changed to 0, a(0) prepended and a(41)-a(70) added by Amiram Eldar, Jun 21 2024