When it comes to fresh eggs, the shelf life tends to be pretty short. To avoid wasting a perfectly good batch, blog Preparedness Pro suggests you coat them in mineral oil:
All you have to do is warm a quarter cup of mineral oil (just about 10 seconds in the microwave will do). Set your eggs outside of the carton (because it will be hard to get them out one you start using the mineral oil). Put on some food handling gloves (I buy this at one of the warehouses)... Dab a little bit of the warmed mineral oil on your hands and then pick up an egg. Run your oiled hands all over the eggs, making sure to cover it completely with the mineral oil. Don't worry if you're putting it on too thick or thin, just so long as every part of it is covered. When you're finished with an egg, put it in the egg carton, small pointed side down.
Once done, store the eggs in a cool, dry place and they should stay fresh for at least a couple more weeks. Of course, it would be troublesome to do this with every pack of eggs,
but it can come in handy and save you some money if you happen to have any extras leftover .