|
Search: id:A097792
|
|
|
| A097792 |
|
Numbers of the form 4k^4 or (kp)^p for prime p>2 and k=1,2,3,.... |
|
+0
4
|
|
| 4, 27, 64, 216, 324, 729, 1024, 1728, 2500, 3125, 3375, 5184, 5832, 9261, 9604, 13824, 16384, 19683, 26244, 27000, 35937, 40000, 46656, 58564, 59319, 74088, 82944, 91125, 100000, 110592, 114244, 132651, 153664, 157464, 185193, 202500, 216000
(list; graph; listen)
|
|
|
OFFSET
|
1,1
|
|
|
COMMENT
|
A result of Vahlen shows that the polynomial x^n + n is reducible over the integers for n in this sequence and no other n.
|
|
LINKS
|
A. Schinzel, Problems and results on polynomials
|
|
MATHEMATICA
|
nMax=500000; lst={}; k=1; While[4k^4<=nMax, AppendTo[lst, 4k^4]; k++ ]; n=2; While[p=Prime[n]; p^p<=nMax, k=1; While[(k*p)^p<=nMax, AppendTo[lst, (k*p)^p]; k++ ]; n++ ]; Union[lst]
|
|
CROSSREFS
|
Cf. A093324 (least k such that n^k+k is prime), A097764 (numbers of the form (kp)^p).
Sequence in context: A051506 A033663 A141091 this_sequence A058067 A158186 A054412
Adjacent sequences: A097789 A097790 A097791 this_sequence A097793 A097794 A097795
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
T. D. Noe (noe(AT)sspectra.com), Aug 24 2004
|
|
|
Search completed in 0.002 seconds
|
