ABSTRACT
A famous problem concerning prime numbers is known by the name: Goldbach conjecture. In his letter dated 7th June, 1742 addressed to Leonhard Euler, Christian Goldbach (1690–1764) mentioned that every even number ≥ 4 is a sum of two primes. As it has remained an unsolved problem for over two centuries, the conjecture is often referred to as the Goldbach problem. Attempts to solve the problem were made along with attempts to prove the Prime Number Theorem which says that if pi(x) denotes the number of primes not exceeding x, then,
pi(x)∼ x logx
, as x→∞.
