Re: FLT an incurable, unending addiction

In article <22906013.1133464326523.JavaMail.jakarta@xxxxxxxxxxxxxxxxxxxxxx> "Roman B. Binder" <rbinder@xxxxxxxxxxxxxxxx> writes:
> FLT: There is really big mistery, but for to
> brake the point of this "ring" it is necessary
> to recognize the difference of pythagorean
> parameters and of these providing solution to
> ax1^2 +y^2 = z^2 once a enters to a=a1^2.

I do not exactly understand what you wish, but when a is an arbitrary
integer, not equal to 1, a.x^n + y^n = z^n *can* have solutions in the
integers. And indeed for some a there are solutions.

When you have a proof that x^n + y^n = z^n has no solution, make
sure that your proof does not also show that a.x^n + y^n = z^n
has no solution for arbitrary integer n. If such is also shown
by the proof, the proof is wrong. (There are many solutions with
n = 5 and a = 68101.)
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