Números primos e congruências: tópicos de teoria dos números na educação básica

Abstract

This work proposes the approach of complementary concepts about the numbers’ theory in basic education, as an alternative to corroborate in the resolution of situations involving topics about prime numbers and divisibility of integers, as well as, reaffirm the importance of this branch of Mathematics for the development of basic skills primordial to the study and understanding of essential concepts this science. In this context, the main results will be presented about prime numbers, relevant properties about the divisibility and modular arithmetic, the resolution of linear congruences and diophantine equations. At last, we will search to show results of experimental proposals in classroom with the purpose of verification and practical suggestion the applicability of the theory proposed in this project.