Peel the potatoes, cut them into smaller pieces, and boil in salted water for about 20 minutes until tender.
Drain the cooked potatoes, mash them in a bowl, and let them cool completely.
Add the flour, egg yolks, and a pinch of salt to the cooled potatoes. Knead until you have a soft, homogenous dough.
Divide the dough into four parts, roll each into a log about 2 cm thick, and cut into small pieces. Gently press each piece with a fork to create the characteristic gnocchi ridges.
Bring a large pot of water to a boil, then add the gnocchi in smaller batches. Once they float to the surface (about 2 minutes), drain and set aside.
Melt the butter in a skillet over medium heat, then sauté the smoked ham for 3-4 minutes until lightly crispy.
Pour in the heavy cream and stir well. Heat for a few minutes to allow the flavors to combine.
Add the cooked gnocchi to the skillet and toss to coat them in the creamy ham sauce.
Before serving, sprinkle with grated Parmesan cheese, fresh parsley, and freshly ground black pepper.
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