No, but they should be stored in a cool, dark place. The optimum temperature range is 45-55 degrees F, which allows potatoes to last for several weeks, depending on storage conditions.

Refrigerator temperatures are too low and allow starches in the potatoes to break down into sugars. This can change the flavor of the potatoes. If you must refrigerate them, try to use them up within a few weeks to get the best flavor possible before the sugars take hold.