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 A121534 Lucas-Fibonacci prime twins: Prime Lucas numbers Lucas(k) such that Fibonacci numbers Fibonacci(k) are also prime. 6
 7, 11, 29, 199, 521, 3571, 6643838879 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Indices for Lucas-Fibonacci prime twins are A080327(n). Corresponding Fibonacci-Lucas prime twins are A121533(n). Probable primes Fibonacci(148091) and Lucas(148091) are the next probable Fibonacci-Lucas and Lucas-Fibonacci prime twins. They have 30949 and 30950 digits. LINKS EXAMPLE a(1) = 7 because Lucas(4) = 7 is prime and Fibonacci(4) = 3 is prime too. MATHEMATICA Do[f=Fibonacci[n]; l=Fibonacci[n-1]+Fibonacci[n+1]; If[PrimeQ[f]&&PrimeQ[l], Print[{f, l}]], {n, 10000}] nn=1000; Transpose[Select[Thread[{Fibonacci[Range[nn]], LucasL[ Range[nn]]}], And@@PrimeQ[#]&]][] (* Harvey P. Dale, Jul 08 2011 *) CROSSREFS Cf. A121533, A000045, A005478, A001605, A001606, A000032, A000204, A005479, A080327. Sequence in context: A153867 A153325 A109907 * A083363 A027707 A046861 Adjacent sequences:  A121531 A121532 A121533 * A121535 A121536 A121537 KEYWORD nonn AUTHOR Alexander Adamchuk, Aug 05 2006 EXTENSIONS a(1) and example corrected by Harvey P. Dale, Jul 08 2011 STATUS approved

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Last modified September 16 07:19 EDT 2021. Contains 347469 sequences. (Running on oeis4.)