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Search: id:A088875
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| A088875 |
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Cyclotomic(n,-n) is prime. |
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+0
3
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| 1, 3, 4, 5, 6, 9, 12, 14, 17, 82, 86, 157, 158, 180, 210, 236, 245, 368, 462, 842, 1034, 3512, 3977, 8636
(list; graph; listen)
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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. See A088817 for another generalization. Note that (n^n+1)/(n+1) = cyclotomic(n,-n) when n is prime. Also note that, for odd n>1, cyclotomic(n,-n) = cyclotomic(2n,n) and for n a multiple of 4, cyclotomic(n,-n) = cyclotomic(n,n).
Some of the larger entries may only correspond to probable primes.
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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[n, -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), A088817 (cyclotomic(2n, n) is prime).
Sequence in context: A136681 A104373 A047427 this_sequence A022884 A105857 A103055
Adjacent sequences: A088872 A088873 A088874 this_sequence A088876 A088877 A088878
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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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