In the center of a 450°F (230°C) oven, bake prime rib 20 minutes. Excellent exterior scorching. Cook another five minutes if not. 1.5 hours at 325°F (160°C) for medium-rare. Heat prime rib by temperature, not time, depending on oven type and size.
Wait 20–30 minutes after removing the prime rib from the oven. For warmth, tent it with aluminum foil. Remove string and bones, then slice into ½-inch thick slices.
After you've removed the fat from the pan, add up to ¼ cup of drippings back in along with the beef broth and red wine. If you have leftover herbs, you can toss those in as well.
Simmer for 15 minutes to halve the liquid. Your sauce should be thin, but you can thicken it. Strain onion and brown particles from the au jus and pour over prime rib.