[seqfan] Re: Conjectures relating to twin primes and Lucas numbers
Creighton Kenneth Dement
creighton.k.dement at mail.uni-oldenburg.de
Fri Jan 1 23:25:09 CET 2010
Farideh wrote:
> The smallest counterexample for Conjecture III :
>
> n = 2465 is prime, n|L(n)-1 and n+2 is prime so n+2|L(n+2)-1
> but obviously n, n+2 aren't twin primes.
>
> L(2465)-1=2465*t
>
> t =
Thanks you very much (and to Andrew as well)- it's clear you meant n =
2465 isn't prime, above.
Those rather large counterexamples have reduced my confidence in
Conjecture I: a(n+4) = A001359(n+2) for all n.
for sequence http://www.research.att.com/~njas/sequences/A113910
Happy 2010,
Creighton
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