A119300 Total number of 9's digits in the first 10^n primes.

2, 33, 431, 6318, 72062, 806674, 9004550, 104220797, 1131743629, 12266783460, 131900123107, 1447662128808

Offset

1,1

Links

Table of n, a(n) for n=1..12.

Example

At a(3)=431 there are 431 9's digits in the first 10^3 = 1000 primes.

Maple

A119300 := proc(n) option remember: local k, s, lim: if(n=0)then return 0:fi: lim:=10^n: s:=procname(n-1): for k from 10^(n-1)+1 to lim do s:=s+nops([SearchAll("9", convert(ithprime(k), string))]): od: return s: end: seq(A119300(n), n=1..4); # Nathaniel Johnston, May 09 2011

Mathematica

cnt=0; k=0; Table[While[k++; cnt=cnt+DigitCount[Prime[k], 10, 9]; k < 10^n]; cnt, {n, 5}] (* T. D. Noe, May 10 2011 *)

Crossrefs

Cf. A119290, A119291-A119299.

Sequence in context: A231595 A100023 A336969 * A078262 A118117 A231794

Adjacent sequences: A119297 A119298 A119299 * A119301 A119302 A119303

Keyword

more,nonn,base

Author

Enoch Haga, May 13 2006

Extensions

a(8)-a(11) from Robert Price, Nov 05 2013

a(12) from Marek Hubal, Mar 04 2019

Status

approved