The Strong Goldbach Conjecture: Proof for All Even Integers Greater than 362

Abstract

The Strong Goldbach conjecture dates back to 1742. It states that every even integer greater than four can be written as the sum of two prime numbers. Since then, no one has been able to prove the conjecture. The only best known result so far is that every sufficiently large even integer N can be written as the sum of a prime number and the product of at most two prime numbers. Additionally, the conjecture has been verified to be true for all even integers up to 4.10^18. In this paper, we prove that the conjecture is true for all even integers greater than 362.