(2+1)(2的平方+1)(2的四次方+1)(2的八次方+1)(2的三十二次方+1）

原式=（2-1)(2+1)(2^2+1)(2^4+1)(2^8+1)(2^16+1)(2^32+1) =(2^2-1)(2^2+1)(2^4+1)(2^8+1)(2^16+1)(2^32+1) =(2^4-1)(2^4+1)(2^8+1)(2^16+1)(2^32+1) =(2^8-1)(2^8+1)(2^16+1)(2^32+1) =(2^16-1)(2^16+1)(2^32+1) =(2^32+1)（2^32-1） =2^64-1