login
This site is supported by donations to The OEIS Foundation.
Logo

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A073340 Fibonacci prime pairs: the indices of each pair differ by two and the relevant Fibonacci numbers are both prime. 0
5, 7, 11, 13, 431, 433, 569, 571 (list; graph; refs; listen; history; internal format)
OFFSET

0,1

COMMENTS

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: A163429 A136055 A181494 * A125293 A098243 A037141

Adjacent sequences:  A073337 A073338 A073339 * A073341 A073342 A073343

KEYWORD

nonn

AUTHOR

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

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Transforms | Puzzles | Hot | Classics
Recent Additions | More pages | Superseeker | Maintained by The OEIS Foundation Inc.

Content is available under The OEIS End-User License Agreement .

Last modified February 17 16:39 EST 2012. Contains 206058 sequences.