[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,

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