A119296 Total number of 5's digits in the first 10^n primes.

1, 15, 327, 3904, 47525, 590450, 7087898, 79504457, 887852429, 9862623240, 110885914721, 1199346258292

Offset: 1

Author

Enoch Haga, May 13 2006

Keywords

• more
• nonn
• base

Examples

			At a(2)=15 there are 15 5's digits in the first 10^2 primes.
		

Crossrefs

Cf. A119290, A119291, A119292, A119293, A119294, A119295, A119297, A119298, A119299, A119300.

Programs

Maple

A119296 := 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("5",convert(ithprime(k),string))]): od: return s: end: seq(A119296(n),n=1..4); # Nathaniel Johnston, May 09 2011

Mathematica

Table[Total[DigitCount[#, 10, 5]&/@Prime[Range[10^n]]], {n, 7}] (* Vincenzo Librandi, Sep 09 2015 *)

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