Applications of Congruence to Divisibility Theory
Abstract
The concept of congruence plays a big role in the theory of divisibility.
In our study we master different properties of congruence and deeply investigate its
applications to the divisibility theory. We will observe that the concept of congruence is
such a power technique in dealing with the concept of divisibility. Fermat’s and
Wilson’s Theorems will be studied and applied in the theory of divisibility. Several
impressive results and applications will be discussed with different mathematical
techniques applied.
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