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 A111504 Numbers k such that k^5 - k^3 - 1 and k^5 - k^3 + 1 are twin primes. 1
 5, 6, 64, 210, 265, 364, 440, 475, 546, 625, 680, 785, 806, 839, 925, 930, 931, 951, 1044, 1091, 1105, 1224, 1226, 1559, 1636, 1651, 1699, 1835, 1850, 1966, 1995, 2120, 2295, 2309, 2511, 2541, 2655, 2984, 3100, 3501, 3680, 4159, 4444, 4474, 4580, 4606, 4755, 4779 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS Amiram Eldar, Table of n, a(n) for n = 1..10000 EXAMPLE 5^5 - 5^3 - 1 = 2999, 5^5 - 5^3 + 1 = 3001, and 2999 and 3001 are twin primes, so 5 is in the sequence. MATHEMATICA lst={}; Do[If[PrimeQ[n^5-n^3-1]&&PrimeQ[n^5-n^3+1], AppendTo[lst, n]], {n, 10^3}]; lst (* Vladimir Joseph Stephan Orlovsky, Aug 14 2008 *) PROG (Magma) [k: k in [1..4800]| IsPrime(a-1) and IsPrime(a+1) where a is k^5 - k^3]; // Marius A. Burtea, Jan 01 2020 CROSSREFS Cf. A001097, A001359, A006512. Sequence in context: A191557 A223530 A132444 * A041057 A041058 A322844 Adjacent sequences: A111501 A111502 A111503 * A111505 A111506 A111507 KEYWORD nonn AUTHOR Pierre CAMI, Nov 16 2005 EXTENSIONS 3 missing terms added by Amiram Eldar, Jan 01 2020 STATUS approved

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Last modified June 12 18:11 EDT 2024. Contains 373359 sequences. (Running on oeis4.)