The Math Forum

Search All of the Math Forum:

Views expressed in these public forums are not endorsed by NCTM or The Math Forum.

Math Forum » Discussions » sci.math.* » sci.math

Notice: We are no longer accepting new posts, but the forums will continue to be readable.

Topic: Diophantine FLT similar system -No solution Proof!
Replies: 12   Last Post: Feb 7, 2014 9:24 PM

Advanced Search

Back to Topic List Back to Topic List Jump to Tree View Jump to Tree View   Messages: [ Previous | Next ]
Jimmy Timmermans

Posts: 6
Registered: 2/4/14
Diophantine FLT similar system -No solution Proof!
Posted: Feb 5, 2014 6:16 PM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

Let x,z coprime in N*
a,b in Z*

(I) (1-yb)x^n+by^n = z^n,
(II) x-z=yba

It is slightly modified Fermat equation.

How to proof that this system doesn´t have solution?

I found solutions (n=3) for (I) a(x^n-z^n)/(x-z) = (-y^(n-1)+x^n)]
using mod a(x^n-z^n)/(x-z),

but this doesn´t satisfy x-z=yba.

I didn´t find a contradiction :

(-1)^n = b^(n-1) a^n (mod x)
x=z (mod y)
b^(n-1)a^n(1-yb)=-1 (mod z)


Point your RSS reader here for a feed of the latest messages in this topic.

[Privacy Policy] [Terms of Use]

© The Math Forum at NCTM 1994-2018. All Rights Reserved.