

A091635


Number of primes less than 10^n which do not contain the digit 1.


10



4, 17, 101, 670, 4675, 34425, 262549, 2051466, 16312743, 131464721, 1071368863, 8809580516, 72986908554
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OFFSET

1,1


LINKS

Table of n, a(n) for n=1..13.


FORMULA

Number of primes less than 10^n after removing any primes with at least one digit 1.
a(n) = A006880(n)  A091645(n).


EXAMPLE

a(2) = 17 because of the 25 primes less than 10^2, 8 have at least one digit 1; 258 = 17.


MATHEMATICA

NextPrim[n_] := Block[{k = n + 1}, While[ !PrimeQ[k], k++ ]; k]; c = 0; p = 1; Do[ While[ p = NextPrim[p]; p < 10^n, If[ Position[ IntegerDigits[p], 1] == {}, c++ ]]; Print[c]; p, {n, 1, 8}] (* Robert G. Wilson v, Feb 02 2004 *)


CROSSREFS

Cf. A091634, A091636, A091637, A091638, A091639, A091640, A091641, A091642, A091643.
Sequence in context: A123750 A024052 A128321 * A127676 A232211 A122940
Adjacent sequences: A091632 A091633 A091634 * A091636 A091637 A091638


KEYWORD

more,nonn,base


AUTHOR

Enoch Haga, Jan 30 2004


EXTENSIONS

Edited and extended by Robert G. Wilson v, Feb 02 2004
a(9)a(12) from Donovan Johnson, Feb 14 2008
a(13) from Robert Price, Nov 08 2013


STATUS

approved



