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2021•International Journal of Physics and MathematicsOpen access

Solving some special classes of standard congruence of prime modulus of higher degree

B M Roy, Ayesha Asloob Qureshı

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Abstract

In this paper, some special classes of standard congruence of prime modulus of higher degree are considered for study. The main aim was to find a method of finding their solutions. After the rigorous study, it is found that each of the first two congruence have unique solution while the second two have exactly three solutions each. The formula/method for solutions obtained is tested by citing numerical examples and verified true. Now it is possible to solve the said congruence very easily in the least time.

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What this paper is about

In this paper, some special classes of standard congruence of prime modulus of higher degree are considered for study. The main aim was to find a method of finding their solutions. After the rigorous study, it is found that each of the first two congruence have unique solution while the second two have exactly three solutions each. The formula/method for solutions obtained is tested by citing numerical examples and verified true. Now it is possible to solve the said congruence very easily in the least time.

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Available abstract

In this paper, some special classes of standard congruence of prime modulus of higher degree are considered for study. The main aim was to find a method of finding their solutions. After the rigorous study, it is found that each of the first two congruence have unique solution while the second two have exactly three solutions each. The formula/method for solutions obtained is tested by citing numerical examples and verified true. Now it is possible to solve the said congruence very easily in the least time.

Key concepts: Congruence (geometry), Prime (order theory), Degree (music), Mathematics, Modulus, Pure mathematics, Combinatorics, Geometry

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