I'm a big fan of the wife's new cooking method for the last 3 years during the holidays for prime rib roast.
There are a few steps she follows (sorry I don't know) and I think there are a couple of variations to this cooking method.
But in a nut shell it's cooking the roast at 500 degrees F for 5 minutes per pound (5 lb. roast x 5 minutes = 25 minutes at 500F), then she turns OFF the oven and "keeps the oven door closed" for another 2 hours.
The roast is great !
KC
Here's a link I found about one of these recipes:
Chef John'''s Perfect Prime Rib | Allrecipes