There are other "more technical" references on the net at various agriculture schools/colleges, etc. and they all generally say the same thing... this one is simple
How to Store Potatoes
Potatoes are pickier than most other vegetables about how they are stored. If you're not careful, they can sprout, sweeten or shrivel.
1. Avoid rinsing potatoes before storing.
2. Place potatoes in a brown paper, burlap or plastic bag with holes in it.
3. Store in a cool, dark, dry place. A root cellar, if you have one, is the best storage option.
4. Make sure the temperature in the area is about 45 to 50 degrees F. Don't store potatoes in the refrigerator, or they will become too sweet.
5. Avoid storing potatoes with onions because, when close together, they produce gases that spoil both.
6. Store potatoes no longer than two months if mature. If they are new, store no longer than one week.
7. Check on them occasionally and remove those that have become soft or shriveled, as well as those that have sprouted.
Potatoes sprout as a result of exposure to light or warm temperatures. Avoid freezing uncooked potatoes.
Put an apple with your potatoes, no matter where you store them. It will keep them from growing "eyes".