A Constructive Proof of Beal's Conjecture
Nicholas J. Daras
TL;DR
This paper provides a constructive proof demonstrating that the generalized Fermat equation has no non-trivial positive integer solutions, confirming Beal's Conjecture.
Contribution
It offers a new constructive proof establishing the non-existence of solutions to Beal's Conjecture.
Findings
No non-trivial positive integer solutions to the generalized Fermat equation
Confirmation of Beal's Conjecture
Advancement in number theory proof techniques
Abstract
We prove that there is no non-trivial integral positive solution to the generalized Fermat equation.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Mathematics and Applications · Analytic Number Theory Research