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International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 64 | Number 2 | Year 2018 | Article Id. IJMTT-V64P512 | DOI : https://doi.org/10.14445/22315373/IJMTT-V64P512

Early Proofs of Fermat‟s Little Theorem and Applications


R.P.Sah, U.N.Roy, A.K.Sah, S.K.Sourabh
Abstract

In this paper we study some of the early proofs of Fermat’s Little Theorem. Many of the original sources to the proofs of these theorems are obscure. The sequence of the proofs appears chronologically, in order to display how the proofs involved throughout the 17th -21th centuries.

Keywords
Fermat, Little,terminology, emphasize, sketchy
References

[1] Hardy, G. H. and Wright, E. M. An Introduction to the Theory of Numbers, 5th ed. Oxford, England: Clarendon Press, 1979.
[2] Nagell, T. "Fermat's Theorem and Its Generalization by Euler." Introduction to Number Theory. New York: Wiley, pp. 71-73, 1951.
[3] Springer Science+BusineHazewinkel, Michiel, ed. (2001) [1994], "Fermat's little theorem", Encyclopedia of Mathematics Séroul, R. "The Theorems of Fermat and Euler." Programming for Mathematicians. Berlin:
[4] Edwards, Harold M., Fermat‟s Last Theorem (A Genetic Introduction to Algebraic Number Theory). Springer-Verlag (1977).
[5] Media B.V. / Springer-Verlag, p. 15, 2000.
[6] Dickson, Leonard E. D., History of the Theory of Numbers, Volume 1 (First published in 1919). Chelsea Publishing Company (1971).
[7] Kluwer Academic Publishers, ISBN 978-1-55608-010-4
[8] Albert, A. Adrian (2015) [1938], Modern higher algebra, Cambridge University Press, ISBN 978-1-107-54462-8.
[9] Burton, David M. (2011), The History of Mathematics / An Introduction (7th ed.), McGraw-Hill, ISBN 978-0-07-338315-6.

Citation :

R.P.Sah, U.N.Roy, A.K.Sah, S.K.Sourabh, "Early Proofs of Fermat‟s Little Theorem and Applications," International Journal of Mathematics Trends and Technology (IJMTT), vol. 64, no. 2, pp. 74-79, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V64P512

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