2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/222654In this short paper we propose four conjectures in synthetic geometry that generalize Erdos-Mordell Theorem, and three conjectures in number theory that generalize Fermat Numbers.2 pagesGeneral Mathematics11A41, 51F20Seven Conjectures in Geometry and Number Theorytext