Forty-Five Counter Examples Provided-Beal Conjecture False as No Common Prime Factors Not Needed with Exponents


Authors : Janes Timothy Struck

Volume/Issue : Volume 11 - 2026, Issue 1 - January


Google Scholar : https://tinyurl.com/2upeuutm

Scribd : https://tinyurl.com/4w2mxm6z

DOI : https://doi.org/10.38124/ijisrt/26jan340

Note : A published paper may take 4-5 working days from the publication date to appear in PlumX Metrics, Semantic Scholar, and ResearchGate.


Abstract : Equations with exponents greater than 3 or equal do not need to have common prime factors. Beal conjecture is shown false 3 times. Numbers raised to powers do not have to have common prime factors.

Keywords : Algebra, Exponents, Cubes, Number Theory, Equality.

References :

  1. Math answers was accessed electronically ON December 21, 2025
  2. Mathematics For the Million, Hogben, Lancelot. 1936.
  3. Third space learning accessed on 11/9/ 2026 Factor pairs are two numbers that are multiplied to create a particular product.
  4. From Bing accessed on 11/9/2026.: Factors come in pairs, meaning that for every factor of a number, there is a corresponding factor that, when

Equations with exponents greater than 3 or equal do not need to have common prime factors. Beal conjecture is shown false 3 times. Numbers raised to powers do not have to have common prime factors.

Keywords : Algebra, Exponents, Cubes, Number Theory, Equality.

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