Is Goldbach Conjecture true?

Abstract

We answer the question positively. In fact, we believe to have proved that every even integer $2N\ge 3\times 10^6$ is the sum of two odd distinct primes. Numerical calculations extend this result for $2N$ in the range $8-3\times 10^6$. So, a fortiori, it is shown that every even integer $2N>2$ is the sum of two primes (Goldbach conjecture). Of course, we would be grateful for comments and objections.

7 pages