The Beal's Conjecture and Fermat's Last Theorem

Adriko Bosco

Abstract: A^x + B^y=C^z, where A, B, C, x, y and z are non-zero integers with x, y, z≥3, then A, B and C have a common prime factor equivalently. The equation A^x + B^y=C^z has no solutions in non- zero integers and pairwise coprime integers A, B, C if x, y, z≥3.The conjecture was formulated in 1993 by Andrew Beal. If proved, $1, 000, 000 prize award. The conjecture was formulated in 1993 by Andrew Beal a banker and amateur Mathematician, while investigating generalization of Fermat's Last theorem. Since 1997, Beal has offered a monetary prize for a peer-reviewed proof of this conjecture or a counter example.

Keywords: Beal's conjecture, non-zero integers, pairwise coprime factor, Boscomplex theorem, Fermat's last theorem