数(2+1)(2^2+1)(2^4+1).(2^6 - 知识问答

数(2+1)(2^2+1)(2^4+1).(2^64+1)的个位数是多少?

3个回答

(2+1)(2^2+1)(2^4+1).(2^64+1)
=(2-1)(2+1)(2^2+1)(2^4+1).(2^64+1)
=(2^2-1)(2^2+1)(2^4+1).(2^64+1)
=(2^4-1)(2^4+1).(2^64+1)
……
=2^128-1
=16^32-1
16^32个位数是6,16^32-1个位数是5

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