An endo-osseous implant has a roughly cylindrical shape with a threaded exterior surface and an internal cavity at the apical end. The internal cavity is open toward the apical end and it has threaded walls that taper toward the exterior surface of the implant to form an apical cutting edge where they meet the threads of the outer surface. A drill shorter in length than the implant, is used to form an osseous cavity in which the longer implant is secured. The implant threads may be self-taping. As a result, upon securing the implant to the osseous tissue, bone fragments and shavings are directed into the internal cavity. When the implant reaches the base of the cavity the cutting edge cuts into the base and further anchors the implant in place.