The main objective of this course is to provide the foundations of elementary Number Theory. It aims to provide the ability to analyze and solve some problems that can be encountered frequently in daily life. In addition, the relationship between Number Theory and Cryptography is explained through basic cryptosystems and this is aimed to form the basis for advanced cryptosystems.

Divisibility. Prime numbers. Congruences. Congruence equations. Polynomial Congruences. Multiplicative functions, Number theory and Cryptology, Primitive roots and applications, Quadratic residues.