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Count of the first 10^n primes which do not contain the digit 2.
0

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

%S 0,7,77,697,6497,55552,512100,4710641,42205969,341224891,2787791578,

%T 22971326749,190650687957

%N Count of the first 10^n primes which do not contain the digit 2.

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

%e a(1) = 7 since there are 7 primes less than 29 (the 10th prime) that do not contain a 2. Namely: 3, 5, 7, 11, 13, 17, 19.

%t Table[Length[Select[Range[10^n], DigitCount[Prime[#], 10, 2] == 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