International Journal of Science and Research (IJSR)

International Journal of Science and Research (IJSR)
Call for Papers | Fully Refereed | Open Access | Double Blind Peer Reviewed

ISSN: 2319-7064


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Research Paper | Mathematics | Uganda | Volume 10 Issue 11, November 2021 | Popularity: 4.1 / 10


     

The Beal's Conjecture and Fermat's Last Theorem

Adriko Bosco


Abstract: Ax + By=Cz, 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 Ax + By=Cz 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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Adriko Bosco, "The Beal's Conjecture and Fermat's Last Theorem", International Journal of Science and Research (IJSR), Volume 10 Issue 11, November 2021, pp. 435-441, https://www.ijsr.net/getabstract.php?paperid=MR211031162015, DOI: https://www.doi.org/10.21275/MR211031162015