Cook the pasta in a pot of salted boiling water until al dente or according to the package directions. Do not use more than 1 tablespoon of salt.
While the pasta is cooking, prepare the rest of the recipe.
Cook the pancetta:
Heat olive oil in a large skillet over medium heat. Add pancetta and cook, stirring, until the fat renders the edge of crispiness but not hard. Remove from the heat and set aside.
Prepare the sauce:
Whisk eggs, egg yolks, Parmesan cheese, and salt and pepper to taste in a bowl until smooth. Set aside.
Assemble the pasta:
At this point, the pasta is cooked. Drain the pasta, reserving 1 cup of the pasta water.
Add the drained pasta to the skillet with the cooked pancetta. Set it over medium heat and stir for a minute.
Remove the skillet from the heat and stir in the egg-Parmesan mixture. Gradually add the pasta water until the desired consistency is reached. I have not used all the pasta water, but around ¾ of a cup. That is my preference.
Serve:
Serve pasta warm, garnished with chopped parsley.
Notes
Choose the type of pasta you like, but spaghetti remains the iconic pasta shape for this recipe. Tagliatelle or bucatini are great long-pasta options, or for short pasta, I recommend penne, rigatoni, or fusilli.
If you can't find pancetta or don't want to purchase it, you can substitute bacon in its place