If the fresh eggs have never been refrigerated then it's safe to leave the fresh eggs out on the counter without refrigeration for 1 to 2 weeks.
If you want to keep the fresh eggs longer than a week though I would refrigerate them just to make sure they'll stay good.
I usually eat my fresh eggs within a week of purchasing them though so I never refrigerate them but if I did keep them longer than a week I would refrigerate them.
Store bought eggs though that have been refrigerated should always remain refrigerated after you buy them and until you use them to prevent them from going bad.