

A231412


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


20



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

0,2


LINKS

Table of n, a(n) for n=0..11.


FORMULA

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


EXAMPLE

a(2) = 91 = 1009 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, A228413A228421, A097952, A091634A091643.
Sequence in context: A244203 A002739 A079928 * A002452 A096261 A015455
Adjacent sequences: A231409 A231410 A231411 * A231413 A231414 A231415


KEYWORD

nonn,base,more


AUTHOR

Robert Price, Nov 08 2013


STATUS

approved



