The invention shows possibilities which allow simplified production of implants or prostheses, specifically of dental implants or prostheses, by applying subtractive processes. For this purpose, the invention proposes the use of a precipitation-hardening or solid-solution-strengthening, biocompatible cobalt-based alloy for the production of blanks. Such blanks are provided in the soft state. Subsequently, each component (implant or prosthesis) is produced from the soft blank by means of material-removing machining. Subsequently, a heat-treatment of the implant or prosthesis then takes place to adjust the hardness thereof by means of precipitation hardening or solid-solution formation.