SILVA, I. P.; http://lattes.cnpq.br/0225210127220282; SILVA, Iranir Pontes.
Abstract:
The present work is characterized as an exploratory bibliographical research on the Theory of
Numbers, especially with regard to modular congruence and its applications. Among them, we
will approach some criteria of divisibility, content seen with students of the 6th grade of Elementary
School II; encryption based on the Cipher of Caesar and the RSA encryption which
is one of the cryptographic systems currently used in business transactions as a method considered
secure; how to apply congruence in the generation of the CPF verification digits, credit
card and in calculations involving calendars for obtaining the day of the week of any date from
1600. The text in which we present our research begins with some basic concepts indispensable
to the development of the work and then the above mentioned applications are presented, accompanied
by a brief historical context and its relation with congruences. The present research
allowed us to observe that there are several studies focused on Number Theory, with special
focus on modular congruence. However, it is not very common to study its applications, which
are numerous.