Is it permissible to eat eggs boiled in water in which it is probable that pork has been cooked?

There is no harm in eating eggs boiled in impure water, as long as their shells are intact, preventing the impurity from entering. This is the view of the majority of scholars. As for utensils in which impure substances are cooked, it is not permissible to use them until they have been washed, due to the Prophet's (peace and blessings be upon him) saying: "If you find other [utensils], do not eat in them. But if you do not find [any other], then wash them and eat in them."