Fermat's Last Theorem
Fermat's Last Theorem established that formula_16 has no solutions for "n" &gt; 2 for positive integers "A", "B", and "C". If any solutions had existed to Fermat's Last Theorem, then by dividing out every common factor, there would also exist solutions with "A", "B", and "C" coprime. Hence, Fermat's Last Theorem can be seen as a special case of the Beal conjecture restricted to "x" = "y" = "z".