Second Hardy–Littlewood conjecture

The Second Hardy–Littlewood conjecture, also known as the "2-ary Goldbach conjecture," is an unsolved problem in number theory that is concerned with the representation of even integers as sums of prime numbers. Specifically, it builds upon the ideas found in the original Goldbach conjecture. The conjecture states that every even integer greater than 2 can be expressed as the sum of two prime numbers.