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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.
Leave the prime rib in the smoker for about 15 to 20 minutes per lb. at 265 degrees Fahrenheit. Look at the thermometer periodically, so you don't leave it in too long. Rare is 130 degrees Fahrenheit; medium rare is 140 degrees Fahrenheit; and medium is 150 degrees Fahrenheit.