A231795 - OEIS

%I #9 May 21 2014 17:10:48

%S 0,8,184,3288,39133,444122,4973204,56589762,604756122,6423638745,

%T 67538009241

%N Count of the first 10^n primes containing at least one 8's digit.

%F a(n) ~ 10^n. - _Charles R Greathouse IV_, May 21 2014

%e a(2)=8 because there are 8 primes not greater than 541 (the 100th prime) that contain a 8's digit.  Namely: 83, 89, 181, 281, 283, 383, 389, 487.

%t cnt = 0; Table[Do[p = Prime[k]; If[MemberQ[IntegerDigits[p], 8], cnt++], {k, 10^(n - 1) + 1, 10^n}]; cnt, {n, 5}] (* _T. D. Noe_, Nov 13 2013 *)

%Y Cf. A231726-A231790, A231792-A231796, A091634-A091643, A231412, A228413-A228421.

%K more,nonn,base

%O 1,2

%A _Robert Price_, Nov 13 2013