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 A006489 n-6, n, n+6 are primes. (Formerly M4770) 14
 11, 13, 17, 23, 37, 47, 53, 67, 73, 103, 107, 157, 173, 233, 257, 263, 277, 353, 373, 563, 593, 607, 613, 647, 653, 733, 947, 977, 1097, 1103, 1123, 1187, 1223, 1283, 1297, 1367, 1433, 1453, 1487, 1493, 1607, 1613, 1663, 1747, 1753, 1783, 1867, 1873 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Solutions of the equation (n-6)'+n'+(n+6)'=3, where n' is the arithmetic derivative of n. - Paolo P. Lava, Nov 08 2012 REFERENCES N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence). LINKS T. D. Noe, Table of n, a(n) for n = 1..1000 Joseph Hirsch, Prime Triplets, Mathematics Teacher, 62 (1969), 467ff (see p. 471). D. S. Kluk and N. J. A. Sloane, Correspondence, 1979 MATHEMATICA q=6*1; lst={}; Do[p=Prime[n]; If[PrimeQ[p-q]&&PrimeQ[p+q], AppendTo[lst, p]], {n, 7!}]; lst (* Vladimir Joseph Stephan Orlovsky, Jun 17 2009 *) Select[Prime[Range[300]], And@@PrimeQ[#+{6, -6}]&] (* Harvey P. Dale, May 21 2012 *) PROG (Haskell) a006489 n = a006489_list !! (n-1) a006489_list = filter    ((== 1) . a010051 . (subtract 6)) \$ dropWhile (<= 6) a023201_list -- Reinhard Zumkeller, Feb 25 2013 (PARI) is(n)=isprime(n-6) && isprime(n) && isprime(n+6) \\ Charles R Greathouse IV, Feb 07 2017 CROSSREFS Subsequence of A023201. Sequence in context: A048058 A048059 A106076 * A032621 A289701 A250402 Adjacent sequences:  A006486 A006487 A006488 * A006490 A006491 A006492 KEYWORD nonn,nice,easy AUTHOR EXTENSIONS More terms from James A. Sellers, Dec 24 1999 STATUS approved

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Last modified September 24 07:01 EDT 2020. Contains 337317 sequences. (Running on oeis4.)