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

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A178762 Prime numbers that are Fibonacci integers. 4
2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 41, 47, 61, 89, 107, 199, 211, 233, 281, 421, 521, 1103, 1597, 2161, 2207, 2521, 3001, 3571, 5779, 9349, 9901, 14503, 19801, 28657, 90481, 103681, 109441, 135721, 141961, 514229, 3010349, 6376021, 11128427 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

A Fibonacci integer is a number that can be written as the product and/or quotient of Fibonacci numbers (A000045). For example, 107 is a Fibonacci integer because Fib(36)/(Fib(18)*Fib(3)*Fib(4)^3) = 107. Observe that the prime Fibonacci numbers (A005478) are a subset of these primes. Luca, Pomerance, and Wagner conjecture that this sequence is infinite. The paper's Remark 2 and sequences A152012, A178763, and A178764 are useful in finding these primes.

LINKS

Table of n, a(n) for n=1..44.

Florian Luca, Carl Pomerance, and Stephan Wagner, Fibonacci Integers (preprint)

CROSSREFS

Sequence in context: A222566 A299171 A002267 * A051750 A268109 A283225

Adjacent sequences:  A178759 A178760 A178761 * A178763 A178764 A178765

KEYWORD

nonn

AUTHOR

T. D. Noe, Jun 10 2010

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified February 17 17:27 EST 2019. Contains 320222 sequences. (Running on oeis4.)