Proof of Goldbach’s Conjecture
Introduction Goldbach’s Conjecture is one of the most enduring and challenging problems in mathematics, first proposed by Christian Goldbach in a letter to Leonhard Euler in 1742. The conjecture states that every even integer greater than 2 can be expressed as the sum of two prime numbers. Formally, the conjecture can be written as: Conjecture: For every even integer n > 2, there exist prime numbers p and q such that n = p + q. n > 2: n is an integer greater than 2. p, q: Prime numbers. n = p + q: The even integer n is the sum of the two primes p and q. Despite the simplicity and elegance of its statement, Goldbach’s Conjecture has defied proof for nearly three centuries. It lies at the intersection of number theory and analytic techniques, making it one of the central and most challenging problems in the study of primes. While the conjecture has been verified for extraordinarily large values...