|
|
A286395
|
|
Numbers k such that (17*10^k + 67)/3 is prime.
|
|
1
|
|
|
1, 3, 7, 8, 9, 11, 15, 19, 29, 55, 76, 159, 266, 311, 394, 908, 1732, 1875, 4335, 6334, 7641, 16421, 33721, 139239, 157705, 160143
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,2
|
|
COMMENTS
|
For k>1, numbers such that the digit 5 followed by k-2 occurrences of the digit 6 followed by the digits 89 is prime (see Example section).
a(27) > 2*10^5.
|
|
LINKS
|
|
|
EXAMPLE
|
3 is in this sequence because (17*10^3 + 67)/3 = 5689 is prime.
Initial terms and primes associated:
a(1) = 1, 79;
a(2) = 3, 5689;
a(3) = 7, 56666689;
a(4) = 8, 566666689;
a(5) = 9, 5666666689; etc.
|
|
MATHEMATICA
|
Select[Range[0, 100000], PrimeQ[(17*10^# + 67)/3] &]
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn,more,hard
|
|
AUTHOR
|
|
|
EXTENSIONS
|
|
|
STATUS
|
approved
|
|
|
|