Re: FLTMA: A little group theory

Let me summarize.

The whole point of this thread is to see if we can show that there are
no counterexamples to FLT, because there are no primitive
counterexamples, because there are no candidate counterexamples
(x,y,z,p) with

(1) p odd prime
(2) gcd(x,y,z) =1 or x,y,z pairwise coprime
(3) exactly one of {x,y,z) even
(4) x<y<z<(z+y)
(5) (x^p + y^p) == 0 mod z
(6) (z^p - x^p) == 0 mod y
(7) (z^p - y^p) == 0 mod x

using group theory or whatever we happen to have lying around. :)

I think I left out a condition....there were 8, weren't there? Er....

Doug

.

Relevant Pages

  • Re: FLTMA: A little group theory
    ... no counterexamples to FLT, ... counterexamples, because there are no candidate counterexamples ... using group theory or whatever we happen to have lying around. ... Gerry Myerson ...
    (sci.math)
  • Re: Counterexamples to FLT
    ... dichotomy axioms are false. ... number system FLT remains nonsense and Wiles? ... a natural ordering, namely, its lexicographic ordering. ... The countable counterexamples FLT are as ...
    (sci.math)
  • Re: -- FLTMA and the existing proof
    ... Some are redundant and should be eliminated, ... the prior counterexamples were mixed -- some were case ... It's both confusing and inappropriate to use the FLT statement as part ... of your conjecture. ...
    (sci.math)
  • Re: Order to chaos, new conjecture
    ... > the FLT thing for years to get those expressions I've been posting. ... I expect there are an infinite number of counterexamples to this ... > might disprove a piece of my argument that I call Area Two, ... You should look for counterexamples yourself -- you'd get your fun quicker ...
    (sci.math)
  • Re: Karzeddins evolving conjectures ...
    ... Brute force together with some theoretical bounds and ... There are lots of other counterexamples ... ... FLT and so on is more easy to proof it. ... 5^u and p divides this term so it is ...
    (sci.math)