On the conjecture of Je\'smanowicz

Alain Togb\'e; G\"okhan Soydan; Ismail Naci Cangul; Musa Dem\.irc\.i

arxiv: 1706.05480 · v1 · pith:Z53VT6SKnew · submitted 2017-06-17 · 🧮 math.NT

On the conjecture of Je\'smanowicz

G\"okhan Soydan , Musa Dem\.irc\.i , Ismail Naci Cangul , Alain Togb\'e This is my paper

classification 🧮 math.NT

keywords conjecturesmanowiczsurveyconcerningconcludecoveringdiophantineequation

0 comments

read the original abstract

We give a survey on some results covering the last 60 years concerning Je\'smanowicz' conjecture. Moreover, we conclude the survey with a new result by showing that the special Diophantine equation $$(20k)^x+(99k)^y=(101k)^z$$ has no solution other than $(x,y,z)=(2,2,2)$.

This paper has not been read by Pith yet.

On the conjecture of Je\'smanowicz

discussion (0)