At what temperature do you cook bone in and boneless prime rib and how long per pound
13 - 15 minutes per pound @ 300 - 325 degrees F, pull when meat is 125 F - 130 F (internal temp.) for rare to medium-rare. Err on the low side. Allow to rest; the meat will continue to cook while resting. For example, if you cook it to be medium-rare (130ish F), then pull it out of the oven, and let it rest, it will end up being medium to medium-well (140 - 145 F) once cut. So be aware.
Bone-in, bone-out it doesn't really matter, because the bone is not in the center of the meat. It's best to let the prime warm at room temp for a period of time, before cooking. An hour or so from the refrigerator (not frozen).
Some people like to place the prime into a hot (425 F) oven or grill/smoker for 10 -15 minutes, then turn down to roasting temp. This is done to sear the outside, which will give it a crispy/seared outside. This doesn't "lock in" flavor, juices or anything else, it is more of a visual and texture thing. If you do this, the cooking time will be reduced, because the oven/grill will have to come down in temp over a period of time while the meat is cooking. I don't recommend doing this with prime rib. It ends up being overcooked and tough, due to the fast then slow roasting of the meat.
What you want to keep in mind is: roast the meat low and slow. Check the internal temp, with a meat thermometer, early to avoid overcooking. Don't forget the internal temp of the meat will rise after taking it out of the oven. Let it rest for 10 - 15 minutes before slicing the meat.
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