Preheat the oven to 375 degrees F.
Wash the potatoes under cold running water and pat dry.
Use a large knife and make a deep incision length-wise into each potato.
Place the potatoes on a cookie sheet and bake until they are tender, for about 1 hour.
Let potatoes cool a little but do peel them while they are still a bit warm.
Put them through a potato ricer. Alternately you can use a potato masher or a fork.
Place the mashed potatoes in a large bowl.
Add in the salt, 1 tablespoon of beaten egg and 1 and 1/2 cups of flour.
Using your hands, mix well just until the flour and potatoes stick together forming a rough looking dough.
Transfer the dough to a wooden board or work surface.
Knead the dough lightly, gradually adding a little bit of the remaining flour if the dough is sticking too heavily on your work surface. (I did not need all of the remaining 1/2 cup more of flour)
Knead for 2 to 3 minutes.
The dough should be smooth, pliable and just a little bit sticky.
Cut off a section of dough at a time.
Roll the piece of dough with a back and forth motion until you get the thickness of your index finger.
Cut the roll into 1 inch pieces.
Repeat with the remaining dough.
To shape the gnocchi, I used my little wooden gnocchi board with ridges.
Alternately, you can use the back of a fork .
Hold the fork at 45 degree angle, with the tines down on the work surface with its' inside curve towards you.
Take a gnocchi role and press it with your index finger against the tip end of the fork while quickly sliding it up along the length of the fork tins.
Or simply use your index and middle fingers by pressing both fingers down into the gnocchi and rolling quickly towards you. The gnocchi will flip over and have a pretty indentation.
Repeat with the remaining pieces of dough.
Transfer the gnocchi on a lightly floured cookie sheet and cover with a clean dish towel.
Set aside while you prepare the sauce.