Fresh eggs will last several months. I keep mine about 3 months at a time. (I know others who keep theirs much longer, but the whites will thicken). Hard boiled eggs usually last 5-7 days if you keep the shells on.
http://www.livinghomegrown.com/day-13-must-fresh-eggs-be-refrigerated/
Everyone has their own level of comfort on room temp eggs. I have many friends who leave their eggs out for a month. But for me, 1 week is the end of my comfort zone. A lot of it has to do with your confidence in where the eggs came from.
http://www.livinghomegrown.com/day-13-must-fresh-eggs-be-refrigerated/
My eggs usually stay in a basket on the counter for a few days (because I’m lazy) before I put them in the fridge. And in the past I’ve found nests with a bunch of eggs in it that were 3 or 4 days old… in 90 F heat… and they were fine. I think people get scared about eggs because they are unfamiliar with HOW chickens reproduce in a natural environment. A chicken lays 1 egg a day until her nest has 10 to 12 eggs in it.
http://www.livinghomegrown.com/day-13-must-fresh-eggs-be-refrigerated/
Great information piece re: eggs.Also neat that the hens are that productive to get 12 eggs a week. Two of my hens lay 5-6 times a week, and the other one lays 3 times a week, so often we get more than a dozen. I love when I open the coop and see 3 little eggs waiting for me! That’s cool that they keep that long.
http://www.gardenbetty.com/2012/04/eggs-to-chill-or-not-to-chill/
After eggs are refrigerated, they need to stay that way. A cold egg left out at room temperature can sweat, facilitating the movement of bacteria into the egg and increasing the growth of bacteria. Refrigerated eggs should not be left out more than 2 hours. (They also say some very sad things about Easter egg hunts.). So if you're being strict, three days would be way too long. In reality, you'd probably be okay. The chances of getting salmonella are definitely higher, but are presumably still small (though I can't say exactly how small, of course). Personally, given the price of a dozen eggs, I'd probably play it safe.
http://cooking.stackexchange.com/questions/14775/how-long-can-eggs-be-unrefrigerated-before-becoming-unsafe-to-eat
However, if you’re at all like me, sometimes ya just get the urge to bake something without a plan in place. I often find myself in this situation and it can be a real bummer if the recipe you’re using calls for room temperature items such as butter, eggs, and cream cheese.
http://www.mybakingaddiction.com/how-to-bring-butter-and-eggs-to-room-temperature/
The cloudiness indicates the carbon dioxide present in a fresh egg; the older the egg, the more gas that escapes, making the white more transparent (and thus more watery or runny). If you have backyard eggs, the ideal method of storing them is in a dry place at room temperature, around 65°F to 70°F. This could be a pantry, a cupboard, or in my case, the counter. There is no need to refrigerate your eggs, assuming you’ll eat them within a couple of months (and even then, months-old eggs are still safe to eat, as long as they were properly stored; they just won’t cook as well).
http://www.gardenbetty.com/2012/04/eggs-to-chill-or-not-to-chill/
How long can hard-boiled eggs stay out at room temperature? The Easter basket looks empty without them. Your friendly U.S. Department of Agriculture says you can keep those colorful eggs in the Easter basket or out for an Easter egg hunt for absolutely as long as you like  as long as it's not more than two hours. Otherwise, it says, they should be kept in the refrigerator.
http://www.ochef.com/1099.htm
The agency promotes a one-size-fits-all rule for all foods that are perishable: they should be unrefrigerated for no longer than two hours (one hour if the temperature is above 90°F (32°C). From time to time, we take issue with that rule.
http://www.ochef.com/1099.htm
1 Keep in mind that a room temperature egg will go bad faster than a refrigerated one. 2  I believe a counter egg will keep well past 2 weeks, but for me, if it looks like it is going to be longer than 1 week before use, I refrigerate.
http://www.livinghomegrown.com/day-13-must-fresh-eggs-be-refrigerated/
how long can eggs be left at room temp
Eggs can leave for 2 hours at room temperature. Eggs can be left for 2 hours at room temperature.