The significance of x^n + y^n= z^n if n>2 is in the fact that whether
minor elements that are exponentially advanced can advance beyond
lower elements. Ratioistically this is determinable..but on a
mathematical account of this, where x and y are lim. by 10 and n< 10
then it strikes upon the essence of whether the absurd ratios can
exist in mathematical precision.
About Ratios through Fermat's Last Theorum - by Seung Bum Kim