Preheat the oven to 400°F and line a baking sheet with parchment paper.
Scrub the potatoes well and prick them with a fork. Bake for about 45 minutes until tender.
Let potatoes cool slightly, then slice them in half lengthwise. Scoop out the centers, leaving enough around the edges to keep shape.
Brush the insides with olive oil, then sprinkle with salt, pepper, and paprika.
Crack an egg into each potato half and place them back on the baking sheet.
Bake another 12–15 minutes until egg whites are set and yolks are cooked to your liking.
Sprinkle with parsley and serve warm.