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Search: id:A073340
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| A073340 |
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Fibonacci prime pairs: the indices of each pair differ by two, and the relevant Fibonacci numbers are both prime. |
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+0
1
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OFFSET
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0,1
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COMMENT
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There are no other Fibonacci prime pairs up to Fibonacci[104911]. (See A001605.) Are there any larger terms?
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REFERENCES
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David Wells, The Penguin Dictionary of Curious and Interesting Numbers, p. 46 (Rev. ed. 1997)
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EXAMPLE
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The 431st Fibonacci number and the 433rd Fibonacci number are both prime, and their indices differ by 2.
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MATHEMATICA
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Flatten[Select[Partition[Select[Range[3000], PrimeQ[Fibonacci[ # ]]&], 2, 1], #[[2]] - #[[1]] == 2 &]]
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CROSSREFS
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Cf. A001605.
Sequence in context: A135774 A135930 A136055 this_sequence A125293 A098243 A037141
Adjacent sequences: A073337 A073338 A073339 this_sequence A073341 A073342 A073343
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KEYWORD
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nonn
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AUTHOR
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Harvey P. Dale (hpd1(AT)nyu.edu), Aug 25 2002
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