(2+1)×(2^2+1)×(2^4+1)×(2^6+1)×(2^8+1)×(2^16+1)×(2^32+1)+1

来源:学生作业帮助网 编辑:六六作业网 时间:2024/12/18 15:43:12
(2+1)×(2^2+1)×(2^4+1)×(2^6+1)×(2^8+1)×(2^16+1)×(2^32+1)+1(2+1)×(2^2+1)×(2^4+1)×(2^6+1)×(2^8+1)×(2^16

(2+1)×(2^2+1)×(2^4+1)×(2^6+1)×(2^8+1)×(2^16+1)×(2^32+1)+1
(2+1)×(2^2+1)×(2^4+1)×(2^6+1)×(2^8+1)×(2^16+1)×(2^32+1)+1

(2+1)×(2^2+1)×(2^4+1)×(2^6+1)×(2^8+1)×(2^16+1)×(2^32+1)+1
×(2^6+1)
这个没有的
原式=(2-1)×(2+1)×(2^2+1)×(2^4+1)×(2^8+1)×(2^16+1)×(2^32+1)+1
=(2^2-1)×(2^2+1)×(2^4+1)×(2^8+1)×(2^16+1)×(2^32+1)+1
=(2^4-1)×(2^4+1)×(2^8+1)×(2^16+1)×(2^32+1)+1
反复用平方差
=2^64-1+1
=2^64

2^64

1