

A228416


Count of the first 10^n primes which do not contain the digit 4.


0



1, 10, 75, 721, 6637, 60605, 514809, 4730382, 43254591, 392344689, 3421561753, 31049600245
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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(1) = 10 since there are 10 primes in the first 10 (through 29) that do not contain a 4. Namely: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29.


MATHEMATICA

Table[Length[Select[Range[10^n], DigitCount[Prime[#], 10, 4] == 0 &]], {n, 0, 5}] (* Robert Price, Mar 23 2020 *)


CROSSREFS

Cf. A231412, A228413A228421, A097952, A091634A091643.
Sequence in context: A238987 A271476 A025015 * A049392 A136869 A108277
Adjacent sequences: A228413 A228414 A228415 * A228417 A228418 A228419


KEYWORD

more,nonn,base


AUTHOR

Robert Price, Nov 09 2013


STATUS

approved



