3(2^2+1)(2^4+1)(2^8+1)……(2^32+1)+1的个位数是____

来源:学生作业帮助网 编辑:六六作业网 时间:2024/05/17 07:01:18
3(2^2+1)(2^4+1)(2^8+1)……(2^32+1)+1的个位数是____3(2^2+1)(2^4+1)(2^8+1)……(2^32+1)+1的个位数是____3(2^2+1)(2^4+1

3(2^2+1)(2^4+1)(2^8+1)……(2^32+1)+1的个位数是____
3(2^2+1)(2^4+1)(2^8+1)……(2^32+1)+1的个位数是____

3(2^2+1)(2^4+1)(2^8+1)……(2^32+1)+1的个位数是____
3(2^2+1)(2^4+1)(2^8+1)……(2^32+1)+1
=(2^2-1)(2^2+1)(2^4+1)(2^8+1)……(2^32+1)+1
=(2^4-1)(2^4+1)(2^8+1)……(2^32+1)+1
=(2^32-1)(2^32+1)+1
=(2^64-1)+1
=2^64
个位数是6