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

%I #11 May 21 2014 17:09:31

%S 0,9,181,2878,38298,442776,4937680,54997237,604120810,6420599395,

%T 67512632285

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

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

%e 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.

%t 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 *)

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

%K more,nonn,base

%O 1,2

%A _Robert Price_, Nov 12 2013

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Last modified April 16 07:05 EDT 2024. Contains 371697 sequences. (Running on oeis4.)