It's been a while since the release of "Kinematics and Dynamics of Generalized-Symetric Sets" Anyone who has reviewed this book, of course, will expect the publication of Goldbach's next theorem, namely:"Every integer greater than 5 can be written as the sum of three primes". We live in a time of rapid development of applied sciences, including applied mathematics. The latter is one of the most glorious conquests of human thought and practice. In this state of affairs, the question naturally arises; does the so-called "pure mathematics" really have to remain in deep shadow? The numerous reviews I received led me to Goldbach's next theorem. I had a great desire to make some additional illustrative drawings, but I think this can still be postponed in the time.