Number Theory


Proof of Beal Conjecture with Illustrative Examples

Authors: Kamal Barghout

We represent each term of Beal’s conjecture equation as a number in exponential form with unique prime base-unit as its building block and therefore unique discreteness. It will be proven that any two numbers in exponential form to be added together must have a common prime base-unit due to their discreteness property. We represent the solution of Beal’s conjecture equation as an identity that produces the sum of two monomials of common indeterminate. The monomial on the RHS of Beal’s equation can be built from the expression on the LHS. Upon factorization of the GCD of the two monomials on the LHS of Beal’s conjecture solution it must be combined with the sum of the two coefficients of the terms to yield the monomial on the RHS by the power rules based on the identity solution of the equation.

Comments: 35 Pages. The material in this article is copyrighted. Please obtain authorization to use from the author

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Submission history

[v1] 2017-12-05 15:21:45 (removed)
[v2] 2017-12-07 09:57:31 (removed)
[v3] 2017-12-09 13:15:45 (removed)
[v4] 2017-12-12 13:11:08 (removed)
[v5] 2017-12-14 14:10:38 (removed)
[v6] 2017-12-18 06:46:20 (removed)
[v7] 2017-12-30 12:15:53
[v8] 2018-02-05 10:31:56
[v9] 2018-02-20 11:06:15
[vA] 2018-03-13 05:47:37
[vB] 2018-03-17 17:04:34

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