Applications of Congruence to Divisibility Theory

  • Mulatu Lemma Savanah State University
  • Dustin Allard Savanah State University
Keywords: Congruence, Divisibility,, Fermat’s, Theorem,, Wilson’, heorem

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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Author Biographies

Mulatu Lemma, Savanah State University

Department of Mathematics

Dustin Allard, Savanah State University

Department of Mathematics

Published
2017-11-30
How to Cite
Lemma, M., & Allard, D. (2017). Applications of Congruence to Divisibility Theory. IJRDO -JOURNAL OF MATHEMATICS, 3(11), 32-42. https://doi.org/10.53555/m.v3i11.1603