A pair of intervertebral prostheses is configured to be implanted above and below a given vertebral body and each has an end plate configured for connection to this vertebral body and a securing flange which is assigned to the end plate and is configured for connection to the vertebral body from the ventral direction in an implanted position. To ensure that the securing flanges also have enough space in front of vertebral bodies of low height, they are offset relative to one another in such a way that one securing flange is arranged centrally, and the other securing flange is arranged eccentrically in a symmetrical configuration. The offset can be provided in the lateral direction and/or in the anterior-posterior direction relative to the implanted position.