A set of prostheses of different sizes comprises in each case a pair of prostheses (10, 10*), which apart from the clear external contour of their anchoring sections (20, 20*) have the same geometry. The anchoring section (20) of a first prosthesis (10) of the pair is constructed as an anchoring section with a cage structure which can be implanted in a cement-free manner, whilst the anchoring section (20*) of the second prosthesis of the pair is constructed as an anchoring section with smooth bo...