In a bowl, mix the kosher salt, black pepper, garlic powder, onion powder, smoked paprika, and chopped rosemary. Add the olive oil and mix until it forms a paste.
Pat the prime rib roast dry with paper towels. Rub the seasoning mixture all over the roast, ensuring it’s evenly coated. Let it sit at room temperature for about 30 minutes for the spices to penetrate the meat.
Preheat your smoker to 225°F (107°C). Soak the wood chips in water for about 30 minutes, then drain. Add the chips to the smoker according to the manufacturer’s instructions.
Place the seasoned prime rib directly on the smoker rack or a grilling tray. Close the lid and smoke the roast until it reaches an internal temperature of 130°F (54°C) for medium-rare, which should take about 3 hours.
Once the desired temperature is reached, remove the roast from the smoker. Tent it loosely with aluminum foil and let it rest for at least 20 minutes. This allows the juices to redistribute.
After resting, carve the prime rib into slices. Serve immediately, allowing guests to enjoy the smoky, succulent flavors.