A073224 Partial sum of Pi(k) from 1 to 10^n.

27, 1465, 92041, 6554833, 504813055, 40947676475, 3442465670223, 296935715374179, 26108021958592999, 2329702677873323273, 210338403560373373799, 19172323465486902000641, 1761408925012566646647345, 162904914369466264400189781, 15152171905761023446344720303

Offset: 1

Author

Robert G. Wilson v, Jul 20 2002

Keywords

• nonn

Links

• Hiroaki Yamanouchi, Table of n, a(n) for n = 1..20

Crossrefs

Cf. A000720, A006880, A046731.

Programs

Mathematica

s = 0; k = 1; Do[ While[ k <= 10^n, s = s + PrimePi[k]; k++ ]; Print[s], {n, 1, 8}]

Formula

a(n) = (10^n + 1) * A006880(n) - A046731(n). - Hiroaki Yamanouchi, Jul 06 2014

Extensions

a(9)-a(10) from Donovan Johnson, Dec 15 2009

a(11)-a(12) from Donovan Johnson, Mar 19 2011

a(13)-a(14) from Hiroaki Yamanouchi, Jul 06 2014