Mathematics / Mathematik / Matemática

Mathematics / Mathematik / Matemática

Posts 1-3 of 3

Winfried Weber Group moderator
The company name is only visible to registered members.

Problem to solve
Hello!
Let’s start with the following problem I got from a friend. I don’t have the answer yet, so perhaps it will remain unsolved, but I hope somebody is able to solve it.

My friend tries to find all pairs (x,y) of rational numbers, x unequal y, with the property:
x^y = y^x

It sounds a little bit like « Last Fermat’s theorem ».

Example:
4^2 = 2^4 (=16)

Is it the only possibility?
(Why? Why not?)

Best regards,
Winfried Weber
- 21 Jul 2006, 10:24 am
Winfried Weber wrote: > Hello! > Let’s start with the following problem I got from a friend. I don’t > have the answer yet, so perhaps it will remain unsolved, but I hope > somebody is able to solve it. > > My friend tries to find all pairs (x,y) of rational numbers, x > unequal y, with the property: > x^y = y^x > > It sounds a little bit like « Last Fermat’s theorem ». > > Example: > 4^2 = 2^4 (=16) > > Is it the only possibility? > (Why? Why not?) > > > Best regards, > Winfried Weber
Post visible to registered members
Post visible to registered members