No, these would be too old to eat and should be thrown out. Once eggs are hard-boiled, you can enjoy them for up to 7 days as long as they're kept in the fridge during that time. If you're unsure of the date of an egg, don't take the risk of eating it. It's better to be safe than sorry.  This timespan is also true if you hard boil your egg and don't peel it right away as well. Boiled eggs can stay in their shell for consumption later for up to a 7 day time period, too.