A119292 Total number of 1's digits in the first 10^n primes.

5, 55, 574, 7043, 102370, 1222003, 13896979, 152844768, 1611113572, 16626301609, 171878734261, 1781706224877

Offset: 1

Author

Enoch Haga, May 13 2006

Keywords

• more
• nonn
• base

Examples

			At a(1)=5 there are 5 1's digits in the first 10^1 primes.
		

Crossrefs

Cf. A119290, A119291, A119293-A119300.

Programs

Maple

A119292 := 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("1",convert(ithprime(k),string))]): od: return s: end: seq(A119292(n),n=1..4); # Nathaniel Johnston, May 09 2011

Mathematica

Table[Count[IntegerDigits[Prime[Range[10^n]]], 1, 2], {n, 6}] (* Robert Price, May 02 2019 *)

PARI

my(x=10, i=0, j=0); forprime(p=1, , j++; my(d=digits(p)); i+=#setintersect(vecsort(d), vector(#d, t, 1)); if(j==x, print1(i, ", "); x=10*x)) \\ Felix Fröhlich, May 02 2019

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