A228724 Difference between pi(10^n) and A226945(n), where pi(x) is the number of primes <= x.

0, 0, 0, 3, 7, -23, -73, -57, 186, 2126, 3161, 3885, 12731, 39462, -13815, -151907, 1117163, 5045162, -19274680, 18700047, 127912738, 252060543, -656184524, 2799754423, 5292148929, 27646015077, 49454963317, 271968742992

Offset

1,4

Links

Eduard Roure Perdices, Table of n, a(n) for n = 1..29 (terms n = 1..24 from Arkadiusz Wesolowski; terms n = 25,26 from David Baugh).

Wikipedia, Prime number theorem

Formula

a(n) = A006880(n) - A226945(n).

Crossrefs

Cf. A006880, A226945, A057794.

Sequence in context: A000229 A133435 A079061 * A191638 A148704 A283109

Adjacent sequences: A228721 A228722 A228723 * A228725 A228726 A228727

Keyword

sign

Author

Arkadiusz Wesolowski, Aug 31 2013

Extensions

a(25)-a(26) added by David Baugh, Mar 17 2015

a(27)-a(28) added using A006880 and A226945, by Eduard Roure Perdices, Apr 16 2021

Status

approved