...mathematicians for many centuries. Number theory is also one of the oldest branches of pure mathematics, it is concerned with the properties of numbers, particularly integers and the wider range of issues that arise with their study. Number theory can also be sub divided into many different areas according to the type of problem under investigations and the way the investigation is taking place.
The beginning of modern number theory is seen in the eighteenth century with theorists such as Legendre and Gauss and the publication and the publication of Gauss’s Disquisitiones Arithmeticae in 1801 (Dedekind, 1983, Hardy and Wright, 1980).
Disquisitiones Arithmeticae was one of the most important publications in terms of number theory and the way in which integers are dealt with. Gauss saw this as the most important area of aromatic. Stating that Mathematics is the...