Rinse the potatoes in a large bowl of water and drain well. Transfer to a dish towel and wring dry. If necessary, wring again in a second towel. Place in a large bowl and add the remaining ingredients. Stir to mix well.
Heat 3 tablespoons of the oil in a medium skillet. Divide the potato mixture into fourths. Form each portion into a 4-inch round cake, about 1/2-inch thick, squeezing out the excess moisture. Place 2 cakes in the hot pan and cook until golden brown, 5 to 6 minutes per side, turning several times. Remove from the pan and drain on paper towels. Wipe the pan clean with a paper towel and repeat with the remaining ingredients.
Yield: 4 cakes