A Proof to Beal’s Conjecture

Thiagarajan, Raj C.

doi:10.18052/www.scipress.com/BMSA.8.66

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A Proof to Beal’s Conjecture

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Abstract:

In this paper, we provide computational results and a proof for Beal’s conjecture. We demonstrate that the common prime factor is intrinsic to this conjecture using the laws of powers. We show that the greatest common divisor is greater than 1 for the Beal’s conjecture.

Info:

Periodical:

Bulletin of Mathematical Sciences and Applications (Volume 8)

Pages:

66-69

DOI:

https://doi.org/10.18052/www.scipress.com/BMSA.8.66

Citation:

R. C. Thiagarajan, "A Proof to Beal’s Conjecture", Bulletin of Mathematical Sciences and Applications, Vol. 8, pp. 66-69, 2014

Online since:

May 2014

Authors:

Raj C. Thiagarajan

Keywords:

Beal’s Conjecture, Conjecture, Diophantine Equations, Laws of Powers, Number Theory, Proof, Sum of Perfect Powers

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Distribution:

Open Access

This work is licensed under a
Creative Commons Attribution 4.0 International License

References:

[1] Mordell, L. J, Diophantine equations, Series: Pure & Applied Mathematics, Academic Press Inc, July 1969, 312 pages.

[2] Chena, I and Siksekb, S, Perfect powers expressible as sums of two cubes, Journal of Algebra, Volume 322, Issue 3, 1 August 2009, Pages 638–656.

DOI: https://doi.org/10.1016/j.jalgebra.2009.03.010

[3] Mauldin, R.D, A Generalization of Fermat's Last Theorem: The Beal Conjecture and Prize Problem, AMS Notices 44, No 11, December 1997, 1436–1437.

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