O teorema chinês do resto e seu papel na teoria dos números.

Abstract

The main focus of this work is the resolution of linear congruency systems involving prime numbers. In addressing the issue, the study delves into a detailed historical analysis of the Chinese Remainder Theorem, a powerful mathematical tool with deep historical roots in ancient China. Thus we explore its formulation and properties, emphasizing its application in number theory, practical examples are presented to illustrate how the Chinese Remainder Theorem can be used to solve modular congruence problems. The study contributes to a comprehensive understanding of the meaning of this theorem in mathematical theory and its practical implications.