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Search: id:A070025
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| A070025 |
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At these values of n the first, 2nd, 3rd and 4th cyclotomic polynomials all give prime numbers. |
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+0
5
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| 6, 150, 2730, 9000, 9240, 35280, 41760, 43050, 53280, 65520, 76650, 96180, 111030, 148200, 197370, 207480, 213360, 226380, 254280, 264600, 309480, 332160, 342450, 352740, 375450, 381990, 440550, 458790, 501030, 527070, 552030, 642360, 660810
(list; graph; listen)
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OFFSET
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1,1
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FORMULA
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n-1, n+1, 1+n+n^2 and 1+n^2 are all primes.
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EXAMPLE
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n=6: 5,7,43 and 37 are prime values of first 4 cyclotomic polynomials.
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MATHEMATICA
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lst={}; Do[If[PrimeQ[n-1]&&PrimeQ[n+1]&&PrimeQ[1+n+n^2]&&PrimeQ[1+n^2], AppendTo[lst, n]], {n, 10^6}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Aug 19 2008]
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CROSSREFS
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Cf. A070155-A070157, A000068, A006313-A006316, A056993-A056995, A005574, A057465, A057002, A070020, A070042.
Sequence in context: A089480 A056427 A056418 this_sequence A065946 A013296 A013301
Adjacent sequences: A070022 A070023 A070024 this_sequence A070026 A070027 A070028
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KEYWORD
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easy,nonn
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AUTHOR
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Labos E. (labos(AT)ana.sote.hu), May 07 2002
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