Potatoes should be cured for 1-2 weeks at 50-60°F and high humidity to toughen the skin and heal any wounds. Applying a post-harvest phosphite can improve storage quality.  Store cured potatoes in a cool, dark place with good ventilation, such as a root cellar or cool basement. Avoid storing potatoes near apples or other fruits that release ethylene gas, which can cause potatoes to sprout.