(2+1)(2^2+1)(2^4+1)……（2^32+1）+1
=(2-1)(2+1)(2^2+1)(2^4+1)……（2^32+1）+1
=(2^2-1)(2^2+1)(2^4+1)……(2^32+1)+1
=(2^4-1)(2^4+1)+……(2^32+1)+1
……
=2^64-1+1
=2^64
应该是这一类题目.