A progress on the binary Goldbach conjecture

Abstract

In this paper, we develop the method of circle of partitions and associated statistics. As an application we prove conditionally the binary Goldbach conjecture. We develop a series of steps to prove the binary Goldbach conjecture in full. We end the paper by proving the binary Goldbach conjecture for all sufficiently large even numbers.

20 pages; the paper has been reformatted and introduction expanded; ideas remain unchanged