The Goldbach Problem

The Goldbach Problem is a famous unsolved question in mathematics, proposed by Christian Goldbach in 1742. It asserts that every even integer greater than two can be expressed as the sum of two prime numbers. For example, the number 10 can be written as 3 + 7 or 5 + 5. Despite extensive testing with large numbers supporting the claim, no one has yet proven it true for all even numbers. The problem remains an intriguing challenge for mathematicians and serves as a cornerstone in the study of number theory.