{ "id": "1309.5895", "version": "v2", "published": "2013-09-23T17:50:08.000Z", "updated": "2013-09-27T20:02:38.000Z", "title": "Dealing with prime numbers I.: On the Goldbach conjecture", "authors": [ "Fausto Martelli" ], "comment": "11 pages, 5 figures", "categories": [ "math.NT" ], "abstract": "In this paper we present some observations about the well-known Goldbach conjecture. In particular we list and interpret some numerical results which allow us to formulate a relation between prime numbers and even integers. We can also determine very thin and low diverging ranges in which the probability of finding a prime is one.", "revisions": [ { "version": "v2", "updated": "2013-09-27T20:02:38.000Z" } ], "analyses": { "subjects": [ "11H99" ], "keywords": [ "prime numbers", "well-known goldbach conjecture", "low diverging ranges", "probability", "observations" ], "note": { "typesetting": "TeX", "pages": 11, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2013arXiv1309.5895M" } } }