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 A070025 At these values of n the first, 2nd, 3rd and 4th cyclotomic polynomials all give prime numbers. 4
 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; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS FORMULA n-1, n+1, 1+n+n^2 and 1+n^2 are all primes. EXAMPLE n=6: 5,7,43 and 37 are prime values of first 4 cyclotomic polynomials. MATHEMATICA 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 Joseph Stephan Orlovsky, Aug 19 2008] CROSSREFS Cf. A070155-A070157, A000068, A006313-A006316, A056993-A056995, A005574, A057465, A057002, A070020, A070042. Sequence in context: A089480 A056427 A056418 * A065946 A222051 A013296 Adjacent sequences:  A070022 A070023 A070024 * A070026 A070027 A070028 KEYWORD easy,nonn AUTHOR Labos E. (labos(AT)ana.sote.hu), May 07 2002 STATUS approved

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Last modified May 25 10:57 EDT 2013. Contains 225647 sequences.