On Fri, 17 Dec 1999, Griffith, Shaun wrote:
> Ian McLoughlin wrote:
> > Since the list is quiet...
> > Does a Fibonnacci series contain a finite or an infinite number of primes?
> > From what I understand..
> > In a gen.F sequence if the first two numbers are divisible by a prime all
> > its numbers are divisible by the same prime, if the first two numbers are
> > co-prime is there a generalised sequence that contains NO PRIMES....
>
> The generalized Fibonacci sequence seems to generate at least one prime
> regardless of the values assigned to Fib(1), Fib(2), *unless* Fib(1) and
> Fib(2) are even. Then there is never an odd number, and never a chance for a
If they are both even they aren't coprime. :)
> prime after Fib(2) (though Fib(1) or Fib(2) may be =2, but that seems
> trivial).
>
> I tried it with composite odd numbers, such as 15,77, which happen to be
> coprime. The first 3 primes generated are Fib(7)=691, Fib(14)=20101, and
> Fib(28)=16945081.
>
> -Shaun
> Quantum Mechanics: The dreams stuff is made of
>
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--
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