Fermat last theorem
= Fermat last theorem
{c}
{title2=$x^n+y^n=z^n,\qquad n>2$}
= Fermat's last theorem
{c}
{synonym}
There are no positive <integer> solutions to the displayed equation when the exponent is an <integer> greater than two. Homogeneity means that any hypothetical solution would give infinitely many common multiples; statements bounding solutions by arithmetic height must therefore first distinguish primitive solutions from their multiples.