|
|
A194155
|
|
Primes of the form k^8 + (k+1)^8.
|
|
12
|
|
|
257, 2070241, 17995718017, 188386299457, 2505920246017, 3192202523137, 5072985298081, 11905609260481, 21370852274017, 766108283826337, 970961614082017, 2348771079002657, 2887223180589697, 9007197376151521, 55110306149736577, 77802445498340417
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,1
|
|
COMMENTS
|
Prime 8-dimensional centered cube numbers. This is to dimension 8 as A152913 is to dimension 4.
|
|
LINKS
|
|
|
EXAMPLE
|
a(2) = 5^8 + (5+1)^8 = 2070241 is prime.
a(3) = 17^8 + (17+1)^8.
a(4) = 23^8 + (23+1)^8.
a(5) = 32^8 + (32+1)^8.
a(6) = 33^8 + (33+1)^8.
|
|
MATHEMATICA
|
|
|
PROG
|
(Magma) [ a: n in [0..200] | IsPrime(a) where a is n^8+(n+1)^8 ]; // Vincenzo Librandi, Dec 07 2011
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn,easy
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|