Boil the potatoes in their skins until tender. Let them cool slightly, then peel and mash them using a potato ricer for a completely smooth texture.
Combine the mashed potatoes with the flour, egg yolks, and salt. Gently knead until you have a soft, non-sticky dough. Be careful not to overwork the dough, or the gnocchi will be tough.
Divide the dough into four portions. Roll each portion into a long rope about 2 cm in diameter. Using a sharp knife, cut the ropes into 2 cm pieces.
Shape the cut pieces with a fork to create a ridged surface, which will help the sauce cling better.
Bring a large pot of salted water to a boil. Drop the gnocchi into the boiling water and cook until they float to the surface (about 2-3 minutes). Drain well.
In a skillet, melt the butter over medium-low heat. Add the heavy cream and warm through.
Add the cream cheese and stir until smooth, creating a silky sauce.
Stir in the grated Parmesan cheese to enrich the sauce.
Add the cooked gnocchi to the creamy cheese sauce and gently toss to coat each piece.
Serve sprinkled with fresh chopped parsley and extra grated Parmesan cheese.
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