3/4 cup plus 2 tablespoons all-purpose flour, plus more for sprinkling
4 tablespoons unsalted butter
In a large bowl, combine the ricotta with the egg yolks and salt until blended. Add the 3/4 cup plus 2 tablespoons of flour and stir until a very soft, sticky dough forms. Turn the dough out onto a work surface and sprinkle with flour. Wrap the dough in plastic and let rest for 30 minutes.
On a lightly floured work surface, roll the dough into 2 ropes that are each about 1 inch in diameter. Using a floured knife, cut the ropes into 1/2-inch slices. Transfer the gnocchi to a baking sheet lined with wax paper and sprinkle with flour.
Bring a large pot of salted water to a boil. Add the gnocchi and cook until they rise to the surface, then simmer the gnocchi until firm, about 2 minutes. Using a slotted spoon, transfer the gnocchi to a bowl of ice water to cool them quickly and stop the cooking. Drain and gently pat dry.
In a large nonstick skillet, melt the butter. Add the gnocchi and cook over high heat, turning once, until golden brown, about 4 minutes. Serve right away.
The uncooked gnocchi can be refrigerated for up to 1 day.