A053620 Nearest integer to R(n) = the Riemann prime number formula.

1, 2, 2, 3, 3, 3, 4, 4, 4, 5, 5, 5, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 9, 9, 9, 9, 10, 10, 10, 10, 11, 11, 11, 11, 12, 12, 12, 12, 13, 13, 13, 13, 14, 14, 14, 14, 14, 15, 15, 15, 15, 16, 16, 16, 16, 17, 17, 17, 17, 17, 18, 18, 18, 18, 19, 19, 19, 19, 19, 20, 20

Offset

2,2

Comments

This is a good approximation to pi(n), the number of prime numbers <= n.

Links

Table of n, a(n) for n=2..72.

Eric Weisstein's World of Mathematics, Riemann Prime Counting Function.

Crossrefs

Cf. A000720, A047784, A052434.

Sequence in context: A054846 A084520 A084510 * A283302 A225593 A057360

Adjacent sequences: A053617 A053618 A053619 * A053621 A053622 A053623

Keyword

nonn

Author

Henry Bottomley, Mar 21 2000

Status

approved