|
|
A245427
|
|
Primes of the form n^6 - n^5 + n^4 - n^3 + n^2 - n + 1.
|
|
2
|
|
|
43, 547, 909091, 1623931, 7027567, 10678711, 15790321, 22796593, 32222107, 81867661, 183458857, 234750601, 574995877, 2498207293, 6177695707, 7095062437, 9272716111, 13564461457, 19397579293, 24344094727, 50689400581, 81420308971, 137405657593, 149289169177
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,1
|
|
COMMENTS
|
All the terms in this sequence are primes, but none are congruent to 9 mod 10.
|
|
LINKS
|
|
|
EXAMPLE
|
n = 2: n^6 - n^5 + n^4 - n^3 + n^2 - n + 1 = 43, which is prime.
n = 10: n^6 - n^5 + n^4 - n^3 + n^2 - n + 1 = 909091, which is prime.
|
|
MATHEMATICA
|
Select[Table[n^6 - n^5 + n^4 - n^3 + n^2 - n + 1, {n, 200}], PrimeQ]
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|