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Total number of 6's digits in the first 10^n primes.
4

%I #25 May 02 2019 15:56:11

%S 0,10,315,3824,47269,560677,7079879,79433407,887292243,9778050835,

%T 110518283071,1198946387631

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

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

%p 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

%t Table[Count[IntegerDigits[Prime[Range[10^n]]], 6, 2], {n, 6}] (* _Robert Price_, May 02 2019 *)

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

%K more,nonn,base

%O 1,2

%A _Enoch Haga_, May 13 2006

%E Offset changed from 0 to 1 by _Nathaniel Johnston_, May 09 2011

%E a(8)-a(11) from _Robert Price_, Nov 05 2013

%E a(12) from _Marek Hubal_, Mar 04 2019