Potatoes should not be stored in the refrigerator, as their starch content will turn to sugar, giving them an undesirable taste. Also, try not to store potatoes near onions, as the gases that they each emit will cause each other's degradation. If stored properly, potatoes can keep for up to two months.
Check on the potatoes frequently, removing any that have sprouted or shriveled, as spoiled ones can quickly affect the quality of the others. New potatoes are much more perishable and will keep for only one week. Cooked potatoes will keep fresh in the refrigerator for several days; however, potatoes do not freeze well.