ABSTRACT
Number theory evolved as a branch of mathematics from the findings of Eratosthenes, Pythagoras and Euclid. Theorems of Fermat, Euler, Lagrange and Lucas are pointed out. The methods of proof are based on a counting principle of Melvin Hausner and techniques used by D. Zagier [ 18 ] and M. Newman [ 16 ]. Worked-out examples are shown, followed by a set of exercises.
