Cook the potatoes in salted water for approx. 20 minutes, then drain. Press through a potato press and let cool.
Beat the butter until frothy. Gradually stir in the potatoes, egg yolks, cheese, salt and nutmeg. Finally fold in the egg whites.
Grease a pudding form and sprinkle with breadcrumbs, fill 3/4 of the way with the potato mixture, close with the lid and place in a saucepan with boiling water. Cook for approx. 1 1/4 hours over low heat. Then turn the pudding out onto a preheated plate and pour browned butter over it.
Tip: If no pudding form is available, the potato mixture can also be put in a baking dish, sprinkled with grated cheese and covered with flakes of butter and baked in the oven.