A092850 Number of primes between A092800(n) and 10^n.

2, 12, 81, 598, 4708, 38622, 327823, 2847315, 25163920, 225457188, 2042143752, 18663517814, 171846353051, 1592315669558, 14834375047080, 138850713196545, 1305003833233144, 12309801809090282, 116490773908518079, 1105570064097792198, 10519869248735544757, 100335959685809643520

Offset

1,1

Links

Table of n, a(n) for n=1..22.

Formula

a(n) = PrimePi(10^n) - PrimePi(A092800(n)) = PrimePi(10^n) - PrimePi(A046731(n)/A006880(n)). - Robert G. Wilson v, Jan 19 2007

a(n) = A006880(n) - A092849(n). - Amiram Eldar, Jun 14 2024

Example

Below 10^1 there are 4 primes: 2 + 3 + 5 + 7 = 17. The rounded mean is 17/4 =~ 4. There are 2 primes > 4: 5 and 7, so a(1) = 2.

Crossrefs

Cf. A006880, A092800, A092849, A092851.

Sequence in context: A058872 A340103 A055548 * A199420 A235348 A052864

Adjacent sequences: A092847 A092848 A092849 * A092851 A092852 A092853

Keyword

nonn

Author

Enoch Haga, Mar 07 2004

Extensions

a(9)-a(13) from Robert G. Wilson v, Jan 19 2007

a(14)-a(22) from Amiram Eldar, Jun 14 2024

Status

approved