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A119294
Total number of 3's digits in the first 10^n primes.
7
3, 54, 569, 6500, 72717, 880415, 9616078, 105052677, 1139295891, 12676601300, 135996846047, 1450287630358
OFFSET
1,1
EXAMPLE
At a(1)=3 there are 3 3's digits in the first 10^1 primes.
MAPLE
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
MATHEMATICA
Accumulate@Table[Count[IntegerDigits[Prime[Range[10^(n - 1) + 1, 10^n]]], 3, 2], {n, 6}] (* Robert Price, Jun 16 2019 *)
CROSSREFS
KEYWORD
nonn,base,more
AUTHOR
Enoch Haga, May 13 2006
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
STATUS
approved