Preheat oven to 450 degrees.
If tying, tie roast together tightly with baking twine.
Place roast in a shallow roasting pan with the fatty side up.
Cover prime rib with melted butter.
Combine garlic, salt, and seasonings in a small bowl.
Cover roast with herbs and seasonings.
Place roast in roasting pan in oven for 15 minutes at 450 degrees, fat side up.
After 15 minutes, reduce heat to 325ºF and continue roasting for approximately 2 hours (when thermometer registers 110 degrees Fahrenheit), or adjust for desired doneness, checking temperature with a thermometer.
For rare ribeye prime rib, the in-oven temperature should be 105-110 degrees. For medium rare to medium prime rib, the in-oven temperature should be 120 to 125 degrees Fahrenheit. For well done prime rib, the in-oven temperature should be 130 to 135 degrees Fahrenheit.
Transfer roast to cutting board or cooling rack and tent with foil and let rest 15-30 minutes.
Slice across the grain to serve.