Cook a Small Prime Rib Roast (Closed Oven Method) Rib roasts with au jus are usually saved for special occasions in our house, and of course, we need them to be cooked perfectly! This closed-oven method initially “sears” the roast at a high heat of 500 degrees Fahrenheit, helping it develop an impressive crust, then cooks the roast using the residual heat from the oven until it reaches medium rare. My husband has been cooking our prime rib with this method for quite some time now and is so…