Boil the potatoes in their skins until tender. Let them cool slightly, then peel and mash them using a potato ricer until smooth.
Combine the mashed potatoes with the flour, egg yolk, and salt. Gently knead until a soft, non-sticky dough forms. 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. Use a sharp knife to cut the ropes into 2 cm pieces.
You can shape the cut pieces with a fork to create ridges, which will help the sauce cling to the gnocchi.
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-low heat. Add the heavy cream and warm through.
Crumble in the blue cheese and stir until it is completely melted and incorporated into the sauce.
Stir in the grated Parmesan cheese until the sauce is smooth.
Add the cooked gnocchi and gently toss to coat them evenly with the creamy blue cheese sauce.
Serve immediately, garnished with fresh chopped parsley, toasted walnuts, and extra Parmesan cheese.
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