Goldbach's strong conjecture is one of the oldest and best-known unsolved problems in number theory and all of mathematics. It states: Every even integer greater than 2 can be expressed as the sum of two primes". The conjecture has been shown to hold for all integers less than 4 10 18, but remains unproven despite considerable effort. As we know there are two conjectures, the weak and the strong conjecture. Many mathematicians have obtained important...