Rp 27 formulation of solutions of a class of congruence of prime power modulus of higher degree| International Journal of Innovative Science and Research Technology

RP-27: Formulation of Solutions of a Class of Congruence of Prime-Power Modulus of Higher Degree.

Authors : B. M. Roy.

Volume/Issue : Volume 3 - 2018, Issue 4 - April

Google Scholar : https://goo.gl/DF9R4u

Thomson Reuters ResearcherID : https://goo.gl/3bkzwv

Abstract : In this paper, a formula to find the solutions of a congruence of prime power modulus of higher degree the type ??≡ ? (??? ??), where p is an odd positive prime integer and n≥ ?,is any positive integer, is established. The formula is of great merit and of time-saving in calculation.The method found in the Mathematicsliterature is time-consuming. It is also found that such a congruence is solvable if ??≡ ? (??? ??) and each congruence has exactly p solutions and in total, there are (p-1) such congruence.

Keywords : Binomial Expansion; Fermat’s Theorem Primepower modulus.

In this paper, a formula to find the solutions of a congruence of prime power modulus of higher degree the type ??≡ ? (??? ??), where p is an odd positive prime integer and n≥ ?,is any positive integer, is established. The formula is of great merit and of time-saving in calculation.The method found in the Mathematicsliterature is time-consuming. It is also found that such a congruence is solvable if ??≡ ? (??? ??) and each congruence has exactly p solutions and in total, there are (p-1) such congruence.

Keywords : Binomial Expansion; Fermat’s Theorem Primepower modulus.

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