A231726 Count of the first 10^n primes containing at least one 0's digit.

0, 9, 181, 2878, 38298, 442776, 4937680, 54997237, 604120810, 6420599395, 67512632285

Offset: 1

Author

Robert Price, Nov 12 2013

Keywords

• more
• nonn
• base

Examples

			a(2)=9 because there are 9 primes not greater than 547 (the 100th prime) that contain a zero digit.  Namely: 101, 103, 107, 109, 307, 401, 409, 503, 509.
		

Crossrefs

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

Programs

Mathematica

cnt = 0; Table[Do[p = Prime[k]; If[MemberQ[IntegerDigits[p], 0], 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