|
|
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
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,2
|
|
LINKS
|
|
|
FORMULA
|
|
|
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 *)
|
|
CROSSREFS
|
|
|
KEYWORD
|
more,nonn,base
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|