(2+1)(2^2+1)(2^4+1)...(2^2n+1)+1=(2-1)(2+1)(2^2+1)(2^4+1)...(2^2n+1)+1=(2^2-1)(2^2+1)(2^4+1)...(2^2n+1)+1=(2^4-1)(2^4+1)...(2^2n+1)+1...=2^4n-1+1=2^4n如果不懂,祝学习愉快!