|
|
A062576
|
|
Numbers k such that 10^k - 9^k is prime.
|
|
5
|
|
|
2, 3, 7, 11, 19, 29, 401, 709, 2531, 15787, 66949, 282493
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,1
|
|
COMMENTS
|
Terms > 1000 are often only strong pseudoprimes.
|
|
LINKS
|
|
|
EXAMPLE
|
10^2 - 9^2 = 100 - 81 = 19, which is prime, hence 2 is in the sequence.
10^3 - 9^3 = 1000 - 729 = 271, which is prime, hence 3 is in the sequence.
10^4 - 9^4 = 10000 - 6561 = 3439 = 19 * 181, which is not prime, hence 4 is not in the sequence.
|
|
MATHEMATICA
|
Select[Range[1000], PrimeQ[10^# - 9^#] &] (* Alonso del Arte, Sep 06 2013 *)
|
|
PROG
|
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn,hard
|
|
AUTHOR
|
|
|
EXTENSIONS
|
|
|
STATUS
|
approved
|
|
|
|