A231412 Count of the first 10^n primes which do not contain the digit 0.

1, 10, 91, 819, 7122, 61702, 557224, 5062320, 45002763, 395879190, 3579400605, 32487367715, 294505958253

Offset

0,2

Links

Table of n, a(n) for n=0..12.

Formula

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

Example

a(2) = 91 = 100-9 since only 9 primes less than 541 (the 100th prime) contain a zero.  Namely: 101, 103, 107, 109, 307, 401, 409, 503, 509.

Mathematica

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

Crossrefs

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

Sequence in context: A344389 A079928 A346230 * A002452 A096261 A015455

Adjacent sequences: A231409 A231410 A231411 * A231413 A231414 A231415

Keyword

nonn,base,more,hard

Author

Robert Price, Nov 08 2013

Extensions

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

Status

approved