In this paper, a special class of standard cubic congruence of composite modulus is studied and formulated the solutions. The discussion is presented here. This cubic congruence has three types of solutions. In first case, it has exactly 3 incongruent solutions; in second case, it has nine incongruent solutions and in third case it has twenty-seven incongruent solutions. First time a suitable formulation is available for a class of standard cubic congruence. So, formulation is the merit of the paper.
Cubic Congruence, Composite Modulus, Cubic Residue, Formulation, Incongruent solutions
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