the Georgia Egg Commission they should be good at least another 2-3 weeks from when they were packed.
If I'm planning on deviled eggs, I always set some aside to "age". The real fresh ones don't peel very well.
Edited to add:
Place the egg into a bowl of water. The water level should be deeper than the egg's length.
Observe what the egg does.
Fresh eggs will sink to the bottom of the bowl and lie on their sides.
Slightly older eggs (about one week) will lie on the bottom but bob slightly.
If the egg balances on its smallest end, with the large end reaching for the sky, it's probably around three weeks old.
Eggs that float at the surface are bad and should not be consumed.