[seqfan] Re: Possible solutions of 3^x+5^y=2^z

[Max Alekseyev]

It's worth to mention that the paper of Darmon and Granville is
available for free at
http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.25.2773

Regards,
Max


On Wed, Nov 19, 2008 at 12:19 AM, Artur <grafix at csl.pl> wrote:
> Dear Seqfans,
> I was meet yesterday with one of the best World specialists from Number
> Theory Prof. Andrzej Schonzel and ask them about number of possible
> solutions of equation 3^x+5^y=2^z.
> My problem was formulated as conjuncture by Fermat and later refolumlated on
> much genaral case by Catalan and was prooved by Darmon and Granville in 1995
> (Bull.London.Math.Society 27 pp.513-543) that each Dipohantine equation type
> p^x+q^y=r^z and 1/x+1/y+1/z<1 have only finite number of solutions. This
> article have many other very interesting ideas!
> Best wishes
> Artur
>