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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.
The longest I would keep hard boiled eggs in the fridge is one to two days. In my family, children were not allowed hard boiled eggs that were just one day old. It is best to keep hard boiled eggs in the fridge for no more than 2 days unless you're using it for an egg hunt then two weeks is okay. 2-day's for me ! 2-weeks -they're probably all grey and stinky !