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A080327 Numbers n for which Lucas(n) and Fibonacci(n) are both prime. 5
4, 5, 7, 11, 13, 17, 47, 148091 (list; graph; refs; listen; history; internal format)
OFFSET

1,1

COMMENTS

The intersection of A001605 and A001606. Fibonacci(148091) and Lucas(148091) are probable primes.

Corresponding Fibonacci-Lucas prime twins are A121533[n] = {3,5,13,89,233,1597,2971215073,...}. Corresponding Lucas-Fibonacci prime twins are A121534[n] = {5,11,29,199,521,3571,6643838879,...}. Probable primes Fibonacci[148091] and Lucas[148091] are the next probable Fibonacci-Lucas and Lucas-Fibonacci prime twins. They have 30949 and 30950 digits. - Alexander Adamchuk (alex(AT)kolmogorov.com), Aug 05 2006

Heuristically, this sequence is finite. It is quite probable, but presently unprovable, that it is now complete. - David Broadhurst (D.Broadhurst(AT)open.ac.uk), Jun 25 2008

LINKS

Prime Curio

CROSSREFS

Cf. A001605, A001606.

Cf. A121533, A121534, A000045, A005478, A000032, A000204, A005479, A080327.

Sequence in context: A005487 A084087 A175903 * A184778 A062709 A129302

Adjacent sequences:  A080324 A080325 A080326 * A080328 A080329 A080330

KEYWORD

hard,nonn

AUTHOR

T. D. Noe (noe(AT)sspectra.com), Feb 15 2003

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Last modified February 17 23:08 EST 2012. Contains 206085 sequences.