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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.