{ "id": "1903.04577", "version": "v1", "published": "2019-03-11T20:14:19.000Z", "updated": "2019-03-11T20:14:19.000Z", "title": "Brazilian Primes Which Are Also Sophie Germain Primes", "authors": [ "Jon Grantham", "Hester Graves" ], "categories": [ "math.NT" ], "abstract": "We disprove a conjecture of Schott that no Brazilian primes are Sophie Germain primes. We enumerate all counterexamples up to $10^{44}$.", "revisions": [ { "version": "v1", "updated": "2019-03-11T20:14:19.000Z" } ], "analyses": { "subjects": [ "11A41", "11A63" ], "keywords": [ "sophie germain primes", "brazilian primes", "conjecture" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }