Analytic Number theory is a branch of mathematics that deals with the study of integers and their properties using techniques from mathematical analysis. It is a field that has its roots in ancient times and has continued to evolve and grow in importance in modern mathematics. The main focus of Analytic Number Theory is to understand the distribution of prime numbers among the entire set of integers. A prime number is a number that is only divisible by 1 and itself, such as 2, 3, 5, 7, and so on.