login
A231795
Count of the first 10^n primes containing at least one 8's digit.
0
0, 8, 184, 3288, 39133, 444122, 4973204, 56589762, 604756122, 6423638745, 67538009241
OFFSET
1,2
FORMULA
a(n) ~ 10^n. - Charles R Greathouse IV, May 21 2014
EXAMPLE
a(2)=8 because there are 8 primes not greater than 541 (the 100th prime) that contain a 8's digit. Namely: 83, 89, 181, 281, 283, 383, 389, 487.
MATHEMATICA
cnt = 0; Table[Do[p = Prime[k]; If[MemberQ[IntegerDigits[p], 8], cnt++], {k, 10^(n - 1) + 1, 10^n}]; cnt, {n, 5}] (* T. D. Noe, Nov 13 2013 *)
KEYWORD
more,nonn,base
AUTHOR
Robert Price, Nov 13 2013
STATUS
approved