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### RP-144: Formulation of Solutions of a Very Special Class of Standard Quadratic Congruence of Composite Modulus modulo a Multiple of Powered Even Prime by a Powered Odd Prime

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RP-144: Formulation of Solutions of a Very Special Class of Standard Quadratic Congruence of Composite Modulus modulo a Multiple of Powered Even Prime by a Powered Odd Prime

Prof B M Roy

Prof B M Roy "RP-144: Formulation of Solutions of a Very Special Class of Standard Quadratic Congruence of Composite Modulus modulo a Multiple of Powered Even Prime by a Powered Odd Prime" Published in International Journal of Trend in Scientific Research and Development (ijtsrd), ISSN: 2456-6470, Volume-4 | Issue-6, October 2020, pp.1661-1663, URL: https://www.ijtsrd.com/papers/ijtsrd35718.pdf

In this paper, the author considered a very special type of standard quadratic congruence of composite modulus for its formulation of solutions. It is found that such a congruence has exactly 4p- solutions, p being an odd prime present in the modulus of the congruence. These solutions are formulated by the author. First time a formula is derived and hence the solutions can be obtained orally. The literature of mathematics remains silent in case of formulation of such congruence. Formulation is the merit of the paper.

Chinese Remainder Theorem, Powered odd prime, Quadratic congruence

IJTSRD35718
Volume-4 | Issue-6, October 2020
1661-1663
IJTSRD | www.ijtsrd.com | E-ISSN 2456-6470
Copyright © 2019 by author(s) and International Journal of Trend in Scientific Research and Development Journal. This is an Open Access article distributed under the terms of the Creative Commons Attribution License (CC BY 4.0) (http://creativecommons.org/licenses/by/4.0)

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