Posted by caa on December 04, 2002 at 16:08:01

In Reply to: Fermat posted by ben ito on December 03, 2002 at 14:49:02:

>>>When the value of n increase the length of Z decreases.<<<

You probably misunderstand the so-called Fermat Last Theorem. While your statement is true, it does not imply that there exist no integers x,y,z,n with given restrictions such that your equation 1 satisfies.

>>>Dipthantus problem, that Fermat's theorem is written next to, does not use integer solutions of x and Fermat's theorem,in Latin text, does not use the word integer.<<<

real number solutions for equation 1 is trivial. If there's a solution containing rational numbers, then there's a solution containing integer solutions. So that's also trivial. So when Fermat didn't mention integers, he didn't have to.

Strange place for the post, though ;-)