Combine the flour, paprika, cayenne pepper, and salt in a small bowl and set aside. Put the wings into a large bowl and sprinkle the flour mixture over them, coating each wing evenly. Put the wings in the refrigerator for 60 to 90 minutes. (This will help the breading to stick to the wings when fried.)
Heat the oil in a deep fryer to 375 degrees. You want just enough oil to cover the wings entirely, 1 ½ to 2 inches or so deep at least.
Combine the hot sauce, butter, ground pepper, and garlic powder in a small saucepan over low heat. Heat until the butter is melted and the ingredients are well blended.
Put all the wings into the hot oil and fry them for 10 to 15 minutes or until some parts of the wings begin to turn dark brown. Remove the wings from the oil to a paper towel to drain. But don't let them sit too long, because you want to serve the wings hot. Quickly put the wings into a large bowl. Add the hot sauce and stir, coating all the wings evenly. Serve with Bleu cheese dressing and celery sticks.