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

Artur grafix at csl.pl
Wed Nov 19 09:19:20 CET 2008

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

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