the Goldbach Conjecture

The Goldbach Conjecture is a famous unsolved problem in mathematics that suggests every even number greater than 2 can be expressed as the sum of two prime numbers. For example, 8 can be written as 3 + 5, both primes. Despite extensive testing and partial proofs confirming it for very large numbers, mathematicians haven't yet proven that this pattern holds for all even numbers. The conjecture remains a central question in number theory, illustrating the deep and unpredictable nature of prime numbers and their relationships.