Sift flour onto the work surface and make a well in the center. Add the egg yolks into the well, then slowly incorporate them into the flour with a fork. Keep going until the dough is smooth.
When the dough comes together into a ball, knead it for about 10 minutes until it’s a cohesive, smooth mass. Cover with a damp towel, and let it rest for half an hour.
Divide the dough into two balls. Flatten them slightly and dust with flour. Using a pasta machine on the widest setting, feed the dough through three times. Adjust to the lowest setting and put the dough through again. The sheet should be thin.
Fold the sheet over three or four times for cutting, then slice by hand to inch-wide noodles. Unroll to separate and loosen before cooking.