A049998

Dean Hickerson dean at math.ucdavis.edu
Fri Dec 16 07:52:23 CET 2005


Ralf Stephan wrote:

> Conjecture:
> Differences of products F(k)F(l)F(m), regardless of order,
> are either Fibonacci numbers, Lucas numbers, or products of both.

No, 1375 = 5*5*55 and 1398 = 2*3*233 are consecutive products of 3 Fibonaccis,
but their difference, 23, is not a product of Fibonacci and Lucas numbers.

Dean Hickerson
dean at math.ucdavis.edu





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