The prosthesis includes, initially, an implant and an angled abutment's stump that is affixed to the implant by threading devices, to which a dental prosthetic piece is then attached. The invention is characterized in that the threading means include a threaded lower piece (4) matched to the angled abutment's stump (6), in which the angled piece (4) and the abutment form one whole piece (5). In this manner unthreading the abutment piece is prevented and the prosthetic dental piece (8) abuts an adjacent dental piece since said unthreading action requires making eccentric circular motions. A special key that couples the angled abutment is intended to effect the turning motion required to tighten the abutment. In addition the invention entails two sets of abutments, each one comprising similar abutments that differ in a slight variation or offset at the beginning of the thread intended to achieve the desired tilt of the abutment
