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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.
Hard-boiled eggs last about a week if they are kept in their shells, and should be refrigerated within two hours of cooking, says the USDA Food Safety and Inspection Service. If they are peeled and then stored, they will stay fresh for only a few days in the fridge, says Hilary Shallo Thesmar, a spokesperson for the Egg Nutrition Center.