{ "id": "1709.01814", "version": "v1", "published": "2017-09-06T13:27:33.000Z", "updated": "2017-09-06T13:27:33.000Z", "title": "On the Diophantine Equation $p^x + p^y = z^{2n}$", "authors": [ "Dibyajyoti Deb" ], "categories": [ "math.NT" ], "abstract": "In an earlier paper, Tatong and Suvarnamani explores the Diophantine equation $p^x + p^y = z^2$ for a prime number $p$. In that paper they find some solutions to the equation for $p=2, 3$. In this paper, we look at a general version of this equation and solve it completely.", "revisions": [ { "version": "v1", "updated": "2017-09-06T13:27:33.000Z" } ], "analyses": { "keywords": [ "diophantine equation", "earlier paper", "prime number", "general version" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }