The invention relates to a dental prosthesis (1) provided with an angled inner passage (2) formed by a first hole (7) and a second hole (26) that are connected by an angled joining area (29) formed with an angle between 0 and 180º. An external area (31) and lateral areas (32) of the angled joining area (29) form an elbow (40) without edges that protrude towards the inside of the inner passage (2). The elbow (40) facilitates the insertion and removal of a screw through the inner passage (2) during the mounting of the dental prosthesis (1) on an dental implant or the removal thereof from the dental implant. The invention also relates to methods for producing the dental prosthesis (1).