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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 (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(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

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

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

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Last modified December 12 12:30 EST 2019. Contains 329958 sequences. (Running on oeis4.)