{ "id": "1906.12184", "version": "v1", "published": "2019-06-28T12:54:44.000Z", "updated": "2019-06-28T12:54:44.000Z", "title": "A note on odd perfect numbers", "authors": [ "Tomohiro Yamada" ], "comment": "7 pages", "categories": [ "math.NT" ], "abstract": "We show that there is no odd perfect number of the form $2^n+1$ or $n^n+1$.", "revisions": [ { "version": "v1", "updated": "2019-06-28T12:54:44.000Z" } ], "analyses": { "subjects": [ "11A05", "11A25" ], "keywords": [ "odd perfect number" ], "note": { "typesetting": "TeX", "pages": 7, "language": "en", "license": "arXiv", "status": "editable" } } }