This course aims to construct the bases of the elementary number theory. For this reason, it is aim to give the students solving ability for some number problems, Linear Diophantine Equations and Congruences which can be met in daily life frequently being profited by some main results such as fundamental theorem of arithmetics, Fermat’s Little Theorem and Wilson’s Theorem. Afterwards, it is aimed to give the thinking ability creatively and independently on advanced number problems being introduced to students some main concepts and results such as arithmetic functions, Mobius Inversion Formulae, primitive roots, quadratic residues, Legendre symbol, and the Quadratic Reciprocity Law.

Divisibility. Prime numbers. Congruences. Congruence equations. Quadratic residues. Primitive roots and indices. Arithmetic functions.