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Search: id:A088817
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| A088817 |
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Numbers n such that Cyclotomic(2n,n) is prime. |
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+0
4
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| 1, 2, 3, 4, 5, 9, 17, 36, 157, 245, 352, 3977
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OFFSET
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1,2
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COMMENT
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This is a generalization of A056826. Note that (n^n+1)/(n+1) = cyclotomic(2n,n) when n is prime. These are probable primes for n > 352. No others < 4700.
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LINKS
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Eric Weisstein's World of Mathematics, Cyclotomic Polynomial
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MATHEMATICA
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Do[p=Prime[n]; If[PrimeQ[Cyclotomic[2n, n]], Print[p]], {n, 100}]
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CROSSREFS
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Cf. A056826 ((n^n+1)/(n+1) is prime), A070519 (cyclotomic(n, n) is prime), A088875 (cyclotomic(n, -n) is prime).
Sequence in context: A003271 A049796 A106165 this_sequence A018896 A065885 A092233
Adjacent sequences: A088814 A088815 A088816 this_sequence A088818 A088819 A088820
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KEYWORD
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hard,nonn
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AUTHOR
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T. D. Noe (noe(AT)sspectra.com), Oct 20 2003
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