(2+1)(2^2+1)(2^4+1)(2^8+1)-2^16=(2-1)(2+1)(2^2+1)(2^4+1)(2^8+1)-2^16=(2^2-1)(2^2+1)(2^4+1)(2^8+1)-2^16=(2^4-1)(2^4+1)(2^8+1)-2^16=(2^8-1)(2^8+1)-2^16=2^16-1-2^16=-1提示：在前面加2-1,再反复用平方差公式...