

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
(list;
graph;
refs;
listen;
history;
text;
internal format)



OFFSET

1,1


LINKS

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


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(n1): for k from 10^(n1)+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

Cf. A119290, A119291A119293, A119295A119300.
Sequence in context: A045481 A275566 A174782 * A157541 A182159 A065102
Adjacent sequences: A119291 A119292 A119293 * A119295 A119296 A119297


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



