Peel the potatoes and cut them into smaller pieces. Place them in a saucepan, cover with water, add a pinch of salt, and cook until tender, about 20 minutes.
Once the potatoes are cooked, drain them well, then use a potato ricer to mash them into a large bowl. Let them cool down slightly so they're not too hot when you add the other ingredients.
Add the flour, egg yolks, and a pinch of salt to the cooled potatoes. Knead by hand or with a spatula until you have a smooth, soft dough.
Divide the dough into four equal parts, then roll each part into a log about 2 cm thick. Cut into 2 cm pieces, then gently press each piece with a fork to create the characteristic gnocchi pattern.
Bring a large pot of salted water to a boil. Add the gnocchi in smaller batches to the boiling water. As soon as they float to the surface (about 2 minutes), remove them with a slotted spoon and set aside.
In a large skillet, melt the butter over medium heat, then add the cooked gnocchi. Sauté for 2-3 minutes, until lightly golden brown.
Grate the sheep cheese over the gnocchi and sprinkle with freshly ground black pepper. Toss to combine, then garnish with fresh, chopped parsley before serving.
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