A231795 Count of the first 10^n primes containing at least one 8's digit.

0, 8, 184, 3288, 39133, 444122, 4973204, 56589762, 604756122, 6423638745, 67538009241

Offset: 1

Author

Robert Price, Nov 13 2013

Keywords

• more
• nonn
• base

Examples

			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.
		

Crossrefs

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

Programs

Mathematica

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 *)

Formula

a(n) ~ 10^n. - Charles R Greathouse IV, May 21 2014