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A231796 Count of the first 10^n primes containing at least one 9's digit. 10

%I #8 May 21 2014 17:11:08

%S 2,31,380,4990,54268,581858,6214940,67420394,703398930,7316745778,

%T 75645891943

%N Count of the first 10^n primes containing at least one 9's digit.

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

%e a(2)=31 because there are 31 primes not greater than 541 (the 100th prime) that contain a 9's digit. Namely: 19, 29, 59, 79, 89, 97, 109, 139, 149, 179, 191, 193, 197, 199, 229, 239, 269, 293, 349, 359, 379, 389, 397, 409, 419, 439, 449, 479, 491, 499, 509.

%t cnt = 0; Table[Do[p = Prime[k]; If[MemberQ[IntegerDigits[p], 9], 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 1,1

%A _Robert Price_, Nov 13 2013

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Last modified May 1 03:27 EDT 2024. Contains 372148 sequences. (Running on oeis4.)