African Journal of
Mathematics and Computer Science Research

  • Abbreviation: Afr. J. Math. Comput. Sci. Res.
  • Language: English
  • ISSN: 2006-9731
  • DOI: 10.5897/AJMCSR
  • Start Year: 2008
  • Published Articles: 254

Full Length Research Paper

Proof of Beal’s conjecture

Samuel Bonaya Buya
  • Samuel Bonaya Buya
  • Ngao Girls’ Secondary School, Kenya.
  • Google Scholar

  •  Received: 06 October 2018
  •  Accepted: 07 November 2018
  •  Published: 30 November 2018


In this research, a proof of Beal’s conjecture is presented. A possible Pythagorean algebraic relationship between the terms of the conjecture problem will be proposed and used to arrive at the proof results. In the process of seeking the proof the solution of the congruent number problem through a family of cubic curves will be discussed.

Key words: Proof of Beal’s conjecture, proof of ABC conjecture, algebraic proof of Fermat’s last theorem, the congruent number problem, rational points on the elliptic curve, Pythagorean triples