A: Salmonella won't grow in the refrigerator or the freezer. Once out of the refrigerator is when you need to be careful because bacteria grow rapidly at room temperature.

The Best Way to Store Eggs and Why
Best advice to help you have the freshest eggs for the longest period of time is to put them in the coldest part of the refrigerator in the carton the eggs came in. It not only keeps them fresher but reminds you of the expiration date.
If you throw out the carton in which your eggs were purchased you have nothing with the pack date or expiration date written on it. You will be more likely to combine eggs from different cartons and won't be able to distinguish which eggs are older.
The worst thing you can do is take them out of the carton and store them in the door of the refrigerator. Out of the carton they will absorb odors and flavors from other foods in the refrigerator. The refrigerator door is the warmest part of the refrigerator, not a good place for eggs.
They will also dry out faster outside of the carton.