A119297 Total number of 6's digits in the first 10^n primes.

0, 10, 315, 3824, 47269, 560677, 7079879, 79433407, 887292243, 9778050835, 110518283071, 1198946387631

Offset: 1

Author

Enoch Haga, May 13 2006

Keywords

• more
• nonn
• base

Examples

			At a(2)=10 there are 10 6's digits in the first 10^2 primes.
		

Crossrefs

Cf. A119290, A119291, A119292, A119293, A119294, A119295, A119296, A119298, A119299, A119300.

Programs

Maple

A119297 := 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("6",convert(ithprime(k),string))]): od: return s: end: seq(A119297(n),n=1..4); # Nathaniel Johnston, May 09 2011

Mathematica

Table[Count[IntegerDigits[Prime[Range[10^n]]], 6, 2], {n, 6}] (* Robert Price, May 02 2019 *)

Extensions

Offset changed from 0 to 1 by Nathaniel Johnston, May 09 2011

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

a(12) from Marek Hubal, Mar 04 2019