计算(2+1)(2^2+1)(2^4+1)(2^8+1)·····(2^64+1)+1

来源:学生作业帮助网 编辑:六六作业网 时间:2024/12/25 22:07:25
计算(2+1)(2^2+1)(2^4+1)(2^8+1)·····(2^64+1)+1计算(2+1)(2^2+1)(2^4+1)(2^8+1)·····(2^64+1)+1计算(2+1)(2^2+1)

计算(2+1)(2^2+1)(2^4+1)(2^8+1)·····(2^64+1)+1
计算(2+1)(2^2+1)(2^4+1)(2^8+1)·····(2^64+1)+1

计算(2+1)(2^2+1)(2^4+1)(2^8+1)·····(2^64+1)+1
(2+1)(2^2+1)(2^4+1)(2^8+1)……(2^64+1)+1
=(2-1)(2+1)(2^2+1)(2^4+1)(2^8+1)……(2^64+1)+1
=(2^2-1)(2^2+1)(2^4+1)(2^8+1)……(2^64+1)+1
=(2^4-1)(2^4+1)(2^8+1)……(2^64+1)+1
=(2^8-1)(2^8+1)……(2^64+1)+1
=(2^16-1)……(2^64+1)+1
=(2^64-1)(2^64+1)+1
=2^128-1+1
=2^128