A046719 Total number of digits in all primes with n digits.

4, 42, 429, 4244, 41815, 413436, 4102567, 40775008, 405774711, 4042049770, 40293025322, 401878286460, 4009949122673, 40024266995482, 399594430078005, 3990300329780096, 39853419882545236, 398095148341559286, 3977036546783471193

Offset

1,1

Links

Table of n, a(n) for n=1..19.

Example

There are 21 2-digit primes, so a(2)=2*21=42.

Mathematica

Flatten[Table[n*Differences[PrimePi[{10^(n - 1), 10^n}]], {n, 13}]] (* Jayanta Basu, Jun 27 2013 *)
With[{nn=14}, Differences[PrimePi[10^Range[0, nn]]]*Range[nn]] (* This program generates only the first 14 terms of the sequence; Mathematica's PrimePi function cannot generate the 15th or higher terms *) (* Harvey P. Dale, Apr 22 2016 *)

Crossrefs

a(n)=n*b(n) where b(n) is A006879.

Sequence in context: A037296 A213103 A085954 * A366819 A335776 A092800

Adjacent sequences: A046716 A046717 A046718 * A046720 A046721 A046722

Keyword

nonn,base

Author

Enoch Haga

Extensions

Corrected by Jud McCranie and N. J. A. Sloane.

Status

approved