Do a search on this site. You'll find lots of info and opinions on this matter. I check for eggs at least twice a day and immediately place them in the refrigerator. I DO NOT wash them - if the bloom keeps on them, it will protect the insides much better. Some here leave their eggs on their kitchen counters, I think, for up to 2 weeks. I just like the idea of refrigerating asap to keep the freshness locked in.
Check out Mother Earth News website - they have an article somewhere that talks about how long eggs will last under various conditions.