[seqfan] Re: amicable numbers - Conjecture

[Max Alekseyev]

On Fri, Aug 14, 2009 at 1:46 PM, Richard Guy<rkg at cpsc.ucalgary.ca> wrote:
> I'm copying this to the number theory
> list, to see if this is well-known to
> those who well know it.
>
> It appears to work for
>
> 2^4 = 4, p = 5, b = 11, c = 71
> 2^n = 16, p = 41, b = 83, c = 3527
>
> Are there other examples?   R.

A quote from http://en.wikipedia.org/wiki/Amicable_number#Rules_for_generating

"This formula gives the pairs (220, 284) (n=2), (17296, 18416) (n=4),
and (9363584, 9437056) (n=7), but no (other) such pairs are known."

Regards,
Max