(1+2)*(1+4)*(1+16)*...*(1+2^32)=?
问题描述：
(1+2)*(1+4)*(1+16)*...*(1+2^32)=?
我实在算不出,最多能用完全平方算出,但太麻烦.
无聊者请别乱吵.
答
(1+2)*(1+4)*(1+16)*...*(1+2^32)
=-(1-2)*(1+2)*(1+4)*(1+16)*...*(1+2^32)
=-(1-4)*(1+4)*(1+16)*...*(1+2^32)
=-(1-2^64)
=2^64-1