Piece sweet potato with a fork a few times and cook in the microwave on high power for about 8 minutes, or until sweet potato is soft and done.
While potato is cooking, preheat broiler to high setting and place oven rack on the highest or second highest level.
Slice potato horizontally into thin rounds, about ¼-inch thick. I keep the skin on, remove it if preferred.
Spray a non-stick skillet or enameled cast iron skillet with cooking spray and place potato rounds in the skillet in an even flat layer; some gaps are okay.
Evenly crack the eggs over the potatoes.
Evenly sprinkle with cheese.
Evenly sprinkle with paprika, salt, and pepper.
Place skillet under broiler and broil for about 3 minutes, or until eggs are set and cheese is as browned as desired. I keep the door close the first 2 minutes and in the final minute, I keep the door open and am constantly readjusting the position of the skillet so that I can control what parts are getting the most intense heat from the broiler. Make sure to use a very trusty hot mitt.
Remove from oven and serve immediately. Eggs are best warm and fresh. I serve with ketchup.
