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Elementary Proof of Beal’s Conjecture
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The 6 variable general equation of Beal’s conjecture equation xa + by = zc, where x,y,z,a,b , and c are positive integers, and a,b,c≥3, is identified as an identity made by expansion of powers of binomials of integers c and y ; where x, y and z have common prime factor. Here, a proof of the conjecture is presented in two folds: First, powers of binomials of integers and expand to all integer solutions of Beal’s equation if they have common prime factor. Second, powers of binomials of coprime integers x, y expand in two terms such that if two of the three terms of the equation are perfect powers the third one is not a perfect power.
Title: Elementary Proof of Beal’s Conjecture
Description:
The 6 variable general equation of Beal’s conjecture equation xa + by = zc, where x,y,z,a,b , and c are positive integers, and a,b,c≥3, is identified as an identity made by expansion of powers of binomials of integers c and y ; where x, y and z have common prime factor.
Here, a proof of the conjecture is presented in two folds: First, powers of binomials of integers and expand to all integer solutions of Beal’s equation if they have common prime factor.
Second, powers of binomials of coprime integers x, y expand in two terms such that if two of the three terms of the equation are perfect powers the third one is not a perfect power.
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