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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.
Cooking times for a prime rib vary depending on how big the prime rib is and how well done one likes one's meat cooked. For rare meat cook for 12-13 minutes per pound.For me â¦ dium rare meat cook for 14-16 minutes per pound. For medium meat, cook for 17-20 minutes per pound. To calculate your cooking time, multiply the weight of the prime rib by the number of minutes needed to cook to one's preferred wellness.ooking times for a prime rib vary depending on how big the prime rib is and how well done one likes one's meat cooked. For rare meat cook for 12-13 minutes per pound.