@article{202309.1012, doi = {10.20944/preprints202309.1012.v1}, url = {https://doi.org/10.20944/preprints202309.1012.v1}, year = 2023, month = {September}, publisher = {Preprints}, author = {Samuel Buya and John Bezaleel Nchima}, title = {A necessary and sufficient condition for proof of the Binary Goldbach conjecture. Proofs of Binary Goldbach, Andrica and Legendre conjectures. Notes on the Riemann hypothesis. (Edition 8D)}, journal = {Preprints} }