Step 1

Set an oven rack in the top third of your oven and preheat the broiler.

Step 2

Add the half & half, 4 tablespoons of the butter, salt, and pepper to a heavy bottom saucepan set over medium heat. Bring to a boil, stirring often.

Step 3

Add the hash browns and cook, stirring constantly, for 5 minutes. Pour into a shallow baking dish or pie plate.

Step 4

Melt the remaining tablespoon of butter in a small dish in the microwave and drizzle over the top of the potatoes. Sprinkle the parmesan cheese in an even layer over the top of the potatoes.

Step 5

Put the potatoes under the broiler and let cook just until the parmesan is golden brown. Watch carefully; the cheese will brown quickly, and if you're not careful it will burn.