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I would never store eggs in this manner, because the texture and flavour degradation will make them unpleasant to eat. However, to actually answer your question--and again, I urge you not to do this because stored and reheated eggs will taste like garbage--cooked eggs should keep for up to 72 hours in the refrigerator.
Eggs last about 4-5 weeks in your refrigerator. If you don't know how long the egg has been in the refrigerator, fill a cup with water (enough to cover the egg), and put the egg in the cup. If the egg sinks to the bottom, it is still good to eat, but if the egg floats, it is bad and should be discarded.