Add to ORKGAbstract: For two millennia, the prime numbers have continued to fascinate mathematicians. Indeed, a conjecture which dates back to this period states that the number of twin primes is infinite. In 1949 Clement showed a theorem on twin primes. For the record, the theorem of Clement has quickly been known to be ineffective in the development of twin primes because of the factorial. This is why I thought of using the additive theory of numbers to find pairs of twin primes from the first two pairs of twin primes. What I have formulated as a conjecture. In same time i present my idea about the solution of the Goldbach’s weak conjecture. Or (p, q) a pair of integers such that p and q are both prime and p <q. We say that (p, q) form a pair of ...