Farm eggs have a long shelf life, refrigerated or not, but you can have a bad egg sneak in on you from time to time. To check, just cover your eggs in cool water. If the egg stay at the bottom it is fresh as it can be! If it stands on its bottom straight up it is still good but should be eaten soon. If the egg floats then ditch it.
We pick our eggs fresh daily here at Cool Breeze Farm and check for duds when we give the eggs a rinse off but if you are ever in doubt at home just give them a dunk!