Question

已知M=(2+1)(2^2+1)(2^4+1)(2^8+1) ……(2^16

Answer 1

M=(2+1)(2^2+1)(2^4+1)(2^8+1)

……(2^64+1)(2^128+1)

=（2-1）(2+1)(2^2+1)(2^4+1)(2^8+1)

……(2^64+1)(2^128+1)

=（2^2-1）(2^2+1)(2^4+1)(2^8+1)

……(2^64+1)(2^128+1)

=(2^4-1)(2^4+1)(2^8+1)

……(2^64+1)(2^128+1)

=2^256-1

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