A228413 Count of the first 10^n primes which do not contain the digit 1.

1, 6, 54, 532, 4675, 34425, 262549, 2051466, 16831152, 155616459, 1529462564, 14830618421, 141585123501

Offset: 0

Author

Robert Price, Nov 09 2013

Keywords

• nonn
• base
• more
• hard

Examples

			a(2) = 54 since there are 54 primes less than 541 (the 100th prime) that do not contain a 1.  Namely: 2, 3, 5, 7, 23, 29, ..., 523.
		

Crossrefs

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

Programs

Mathematica

Table[Length[Select[Range[10^n], DigitCount[Prime[#], 10, 1] == 0 &]], {n, 0, 5}] (* Robert Price, Mar 23 2020 *)

Formula

a(n) <= 9^n. - Charles R Greathouse IV, May 21 2014

Extensions

a(12) from Lucas A. Brown, Mar 19 2024