Boil the potatoes in their skins until tender. Let them cool slightly, then peel and mash them using a potato ricer or masher until completely smooth.
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, as this will result in tough gnocchi.
Divide the dough into four portions. Roll each portion into a long rope about 2 cm in diameter. Cut the ropes into 2 cm pieces.
You can 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 in the gnocchi and cook until they float to the surface (about 2-3 minutes). Drain well.
In a skillet, melt the butter over medium heat. Sauté the finely chopped garlic until fragrant.
Pour in the heavy cream and let it simmer over low heat, stirring constantly, until slightly thickened.
Stir in the grated Parmesan cheese and continue stirring until it is completely melted into the sauce.
Add the cooked gnocchi and gently toss to coat them evenly with the creamy sauce.
Serve garnished with fresh chopped parsley and extra Parmesan cheese.
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