Heat some butter in a small coated pan and fry the potato halves on the underside until golden. Then turn the potatoes over on the flat cut side, push them all around to the edge of the pan and place the fried egg in the middle. Potatoes should be enclosed with egg white that everything is nicely connected. Fry on medium heat until the fried egg is ready. Season with salt and a little paprika powder and remove with a pan lifter.