Remove the prime rib from the refrigerator 1 to 2 hours before cooking so it loses some of its chill. Do not leave raw meat at room temperature for more than 2 hours total.
Preheat the oven to 500°F to 550°F, using the highest normal baking temperature your oven safely supports.
Pat the roast dry with paper towels. Mix the kosher salt, black pepper, and garlic powder, then season the roast evenly on all sides.
Place the roast fat-side up in a shallow roasting pan. If boneless, set it on a roasting rack; the bones can act as the rack for a bone-in roast.
For the initial high-heat phase, multiply the exact roast weight in pounds by 5 minutes. Use this only as a timing guide, not as a doneness test.
Roast uncovered at the preheated high temperature for the calculated time.
When the timer ends, turn the oven off and keep the door closed for 2 hours. This method works best in an oven that holds residual heat well; ovens with aggressive cooling fans may lose heat faster.
After 2 hours, check the thickest part of the roast with a food thermometer, avoiding the bone. For USDA food-safety guidance, the roast should reach at least 145°F before it is removed from the heat source. If it is below 145°F, heat the oven to 325°F and continue cooking until it reaches 145°F.
Once the roast has reached at least 145°F, let it rest for at least 3 minutes before carving. Slice against the grain and serve.