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A073340 Fibonacci prime pairs: the indices of each pair differ by two and the relevant Fibonacci numbers are both prime. +0
1
5, 7, 11, 13, 431, 433, 569, 571 (list; graph; listen)
OFFSET

0,1

COMMENT

There are no other Fibonacci prime pairs up to Fibonacci[104911]. (See A001605.) Are there any larger terms?

REFERENCES

David Wells, The Penguin Dictionary of Curious and Interesting Numbers, p. 46 (Rev. ed. 1997)

EXAMPLE

The 431st Fibonacci number and the 433rd Fibonacci number are both prime and their indices differ by 2.

MATHEMATICA

Flatten[Select[Partition[Select[Range[3000], PrimeQ[Fibonacci[ # ]]&], 2, 1], #[[2]] - #[[1]] == 2 &]]

CROSSREFS

Cf. A001605.

Sequence in context: A135930 A163429 A136055 this_sequence A125293 A098243 A037141

Adjacent sequences: A073337 A073338 A073339 this_sequence A073341 A073342 A073343

KEYWORD

nonn

AUTHOR

Harvey P. Dale (hpd1(AT)nyu.edu), Aug 25 2002

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Last modified December 10 00:48 EST 2009. Contains 170565 sequences.


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