(2+1)(2^2+1)(2^3+1)(2^4+1 - 知识问答

(2+1)(2^2+1)(2^3+1)(2^4+1)+...+(2^128+1)+1怎么算?

1个回答

=(2-1)(2+1)(2^2+1).(2^128+1)+1
=(2^2-1)(2^2+1).(2^128+1)+1
=(2^4-1)(2^4+1)...(2^128+1)+1
=...
=(2^128-1)(2^128+1)+1
=2^256-1+1
=2^256

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