据说数学大师欧拉十分喜欢“农妇卖鸡蛋”问题:一农妇去市场卖鸡蛋,第一次卖去全部鸡蛋的一半又半个;第二次又卖去剩下鸡蛋的一半又半个;第三次卖去前两次卖后所剩下鸡蛋的一半又半个,最后又卖去所剩下鸡蛋的一半又半个,这时鸡蛋恰好卖完,问农妇原有 It is said that mathematician Euler was very fond of the problem of “peasant women selling eggs”: a peasant woman went to the market to sell eggs and sold her eggs for half and a half for the first time; the second time she sold half and half of the remaining eggs; Two and a half of the remaining eggs sold three times before the sale, and then sold half and half of the remaining eggs. At this time, the eggs were sold out.