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The Beal's Conjecture and Fermat's Last Theorem

Journal: International Journal of Science and Research (IJSR) (Vol.10, No. 11)

Publication Date:

Authors : ;

Page : 435-441

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

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Abstract

Aless thansupgreater thanxless than/supgreater than + Bless thansupgreater thanyless than/supgreater than=Cless thansupgreater thanzless than/supgreater than, where A, B, C, x, y and z are non-zero integers with x, y, z and GreaterEqual;3, then A, B and C have a common prime factor equivalently. The equation Aless thansupgreater thanxless than/supgreater than + Bless thansupgreater thanyless than/supgreater than=Cless thansupgreater thanzless than/supgreater than has no solutions in non- zero integers and pairwise coprime integers A, B, C if x, y, z and GreaterEqual;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.

Last modified: 2022-02-15 18:49:35