Preheat oven to 500°F.
Mix minced garlic, olive oil, kosher salt, thyme leaves, rosemary leaves, and black pepper in a bowl.
Rub the herb mixture over the prime rib roast.
Place roast on a rack in a roasting pan, bone side down.
Roast at 500°F for 30 minutes, then reduce heat to 325°F for about 2 hours for medium-rare.
Check internal temperature with a meat thermometer; it should be 135-140°F for medium-rare.
Rest the roast for at least 15 minutes before carving.
Carve the roast into slices, cut against the grain for tenderness, and serve with your favorite side.