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A097792
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Numbers of the form 4k^4 or (kp)^p for prime p>2 and k=1,2,3,....
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3
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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; refs; listen; history; internal format)
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OFFSET
| 1,1
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COMMENTS
| 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.
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LINKS
| A. Schinzel, Problems and results on polynomials
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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]
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CROSSREFS
| Cf. A093324 (least k such that n^k+k is prime), A097764 (numbers of the form (kp)^p).
Sequence in context: A190403 A141091 A186882 * A058067 A175701 A158186
Adjacent sequences: A097789 A097790 A097791 * A097793 A097794 A097795
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KEYWORD
| nonn
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AUTHOR
| T. D. Noe (noe(AT)sspectra.com), Aug 24 2004
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