The Reproductive Solution for Fermat’s Last Theorem (Elementary Aspect)

Gandhi, K. Raja Rama; Tint, Reuven

doi:10.18052/www.scipress.com/BMSA.5.5

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The Reproductive Solution for Fermat’s Last Theorem (Elementary Aspect)

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Abstract:

We give a proof of the solvability in a natural numbers for Fermat’s Last theorem and the equations a^x+b^y=c^zand Xⁿ¹₁ + X^_n2₂ + ... + X^n_k-1_k-1 = X^n_k_khas not been found earlier, significantly different from known, and allow us to obtain infinite set of solutions in natural numbers, and examples.

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Periodical:

Bulletin of Mathematical Sciences and Applications (Volume 5)

Pages:

5-11

DOI:

https://doi.org/10.18052/www.scipress.com/BMSA.5.5

Citation:

K. R. R. Gandhi and R. Tint, "The Reproductive Solution for Fermat’s Last Theorem (Elementary Aspect)", Bulletin of Mathematical Sciences and Applications, Vol. 5, pp. 5-11, 2013

Online since:

August 2013

Authors:

K. Raja Rama Gandhi, Reuven Tint

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Open Access

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Creative Commons Attribution 4.0 International License

References:

H. Davenport, The Higher Arithmetic, Moscow, (1965).

V. Sierpiński, 250 Problems in Elementary Number Theory, Moscow, (1968).

U. Davidov, Problems and exercises in theoretical arithmetic of whole numbers , Minsk, (1963).

A. Kurosh, Higher Algebra", " Science, Fizmatgiz, Moscow, (1971).

Н.Н. Воробьев, Признаки делимости", " Science, Fizmatgiz, Moscow, (1974).

V. Sierpiński, О решении уравнений в целых числах, , Fizmatgiz, Moscow, (1961).

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