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Sear the rib roast (prime rib) for 15 minutes at the higher oven temperature (450 degrees F.), then turn the oven to the lower temperature (325 degrees F.) for the rest of the cooking time. Every 1/2 hour, baste the cut ends of the roast with the fat accumulated in the roasting pan. Do Not Cover the roast.rime Rib Roast (standing rib roast), at room temperature (very important) 2 tablespoons butter, room temperature. Preparation: Preheat oven to 450 degrees F. Pat the room-temperature standing rib roast (prime rib roast) dry with paper towels or napkins.
1 --------------------------------------------. APPROXIMATE COOKING TIMES for the prime rib cooked at 350Â°F after the 20 minute cooking time at 450Â°F. 2  Rare; cook 12-13 minutes per pound or to 130Â°F. Rare; cook 12-13 minutes per pound or to 130Â°F. 2  Medium-rare; cook 14-16 minutes per pound or to 140Â°F (I would not recommend cooking a prime rib any more than medium-rare). 3  Since every oven cooks differently cooking times are only approximate.