A228415 - OEIS

%I #23 Mar 19 2024 12:29:10

%S 1,7,54,534,4909,45405,385008,3539880,32260781,294001190,2564080248,

%T 23271246324,211753431947

%N Count of the first 10^n primes which do not contain the digit 3.

%F a(n) <= 9^n. - _Charles R Greathouse IV_, May 21 2014

%e a(1) = 7 since there are 7 primes in the first 10 (through 29) that do not contain a 3.  Namely: 2, 5, 7, 11, 17, 19, 29.

%t Table[Length[Select[Range[10^n], DigitCount[Prime[#], 10, 3] == 0 &]], {n, 0, 5}] (* _Robert Price_, Mar 23 2020 *)

%Y Cf. A231412, A228413-A228421, A097952, A091634-A091643.

%K more,nonn,base,hard

%O 0,2

%A _Robert Price_, Nov 09 2013

%E a(12) from _Lucas A. Brown_, Mar 19 2024