Well, JG, from my experience I'd say about 2 weeks. I always have about half a dozen hard-boiled eggs in my refrigerator. With just the two of us, they are usually gone within two weeks. I have no experience beyond that.
Why on earth did you peel them if you weren't going to eat them right away? They last a lot longer if the shell is left on. I'd give a peeled egg 3 days, max. By then I would expect them to be kind of sucked dry by the auto defrost feature of your refrigerator. I have, however, kept hard boiled eggs in the shell for up to 3 weeks with no ill effects, to me or the eggs.