Newsgroups: sci.math
From: hoey@AIC.NRL.Navy.Mil (Dan Hoey)
Date: Thu, 19 May 1994 15:48:52 GMT
Subject: Re: Is a gross the largest square Fibonacci number?

tycc...@banach.mit.edu (Timothy Y. Chow) quotes
membrillo@vax.oxford.ac.uk (Fausto H. Membrillo):

> The square Fibonacci numbers are {0,1,144}....
> Moreover Ray Steiner proved in 1967 that the cube Fibonacci numbers
> are {0,1,8}

When this was posted two years ago, I mentioned that we might want
to consider the cubes F[-2]=-1 and F[-6]=-8 as well.  Of course,
F[-12]=-144 doesn't count because it isn't a square.  We may wish to
count F[-1]=F[1]=F[2]=1 three times.  Or not.

Is it known if there are other Fibonacci numbers the Nth power of an
integer, N>1?  I still haven't heard.

Dan Hoey
Hoey@AIC.NRL.Navy.Mil