Grate the potatoes. Let them sit in a colander for a while, if you can, and squeeze out as much liquid as possible. 

Mix together the eggs, salt and pepper, and flour. Stir into the potato mixture and mix well. 

Turn the oven on to 350 and put a paper-lined pan in the oven to receive the latkes and keep them warm while you're frying. 

Put 1/4 to 1/2 and inch of oil in your frying pan and heat it up until a drop of batter will bubble.  

Take a handful of the potato mixture, flatten it slightly, and lay it in the pan, leaving room between latkes. Repeat with the rest of the mixture, making several batches to leave room in between latkes. Fry until golden brown on both sides, turning once. Eat right away or keep warm in oven, but not too long. 

Serve with sour cream and/or applesauce or apple slices.