1. In a small bowl, blend together flour, paprika, cayenne pepper, and salt.
2. Place chicken wings in a single layer in a 9x13-inch glass baking dish. Sprinkle the flour mixture over the chicken wings and toss until evenly coated. Cover the wings and refrigerate for 1 to 1½ hours.
3. In a deep, heavy skillet, heat about 1 inch of oil to 375 degrees F (190 degrees C). (The oil should be just enough to cover the wings entirely.)
4. Combine the butter, hot sauce, pepper, and garlic powder in a small saucepan over low heat while the oil reaches temperature. Cook and stir until the butter is melted, and the mixture is thoroughly blended. Set aside for serving.
5. Fry the coated wings in the hot oil for 10 to 15 minutes, or until the wings begin to crisp and turn brown. Maintain a consistent oil temperature while cooking.
6. Remove the wings from the oil and place them on a plate lined with paper towels.
7. Arrange the wings on a platter and drizzle the hot sauce over them, or mix the wings and hot sauce in a bowl until coated. Serve.