A119294 - OEIS

%I #20 Jun 16 2019 18:23:43

%S 3,54,569,6500,72717,880415,9616078,105052677,1139295891,12676601300,

%T 135996846047,1450287630358

%N Total number of 3's digits in the first 10^n primes.

%e At a(1)=3 there are 3 3's digits in the first 10^1 primes.

%p A119294 := 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("3",convert(ithprime(k),string))]): od: return s: end: seq(A119294(n),n=1..4); # _Nathaniel Johnston_, May 09 2011

%t Accumulate@Table[Count[IntegerDigits[Prime[Range[10^(n - 1) + 1, 10^n]]], 3, 2], {n, 6}] (* _Robert Price_, Jun 16 2019 *)

%Y Cf. A119290, A119291-A119293, A119295-A119300.

%K nonn,base,more

%O 1,1

%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