The process involves collecting implant position data defining a position and alignment of a dental implant (2) inserted in a jaw (3), and determining prosthesis position data defining a target position and target alignment of a prosthesis attachment structure (13) of a connector (1). The connector is formed using the implant and prosthesis position data, where a body portion (11) is configured such that the prosthesis attachment structure is arranged in the target position and target alignment when the connector is attached to the dental implant by an implant attachment structure (12). The prosthesis attachment structure is configured as part of a snap-engagement connection when forming the connector. Independent claims are also included for the following: (1) a milling device for producing a connector for connecting a dental implant with a dental prosthesis, comprising an interface structure (2) a computer program for controlling a milling device (3) a connector for connecting a dental implant with a dental prosthesis, comprising a body portion.