Bado, Idriss, Olivier2024-03-212024-03-212019-04-03https://doi.org/10.31730/osf.io/3gysdhttps://africarxiv.ubuntunet.net/handle/1/1191https://doi.org/10.60763/africarxiv/1143https://doi.org/10.60763/africarxiv/1143https://doi.org/10.60763/africarxiv/1143Goldbach's famous conjecture has always fascinated eminent mathematicians. In this paper we give a rigorous proof based on a new formulation, namely, that every even integer has a primo-raduis. Our proof is mainly based on the application of Chebotarev-Artin's theorem, Mertens' formula and the Principle exclusion-inclusion of Moivre.Goldbach conjectureChebotarev-Artin theoremMertens formulaMoivre