International Journal of Science and Research (IJSR)
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Research Paper | Mathematics | Uganda | Volume 10 Issue 11, November 2021

The Beal's Conjecture and Fermat's Last Theorem

Adriko Bosco ^[5]

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

Edition: Volume 10 Issue 11, November 2021,

Pages: 435 - 441

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