Question

(2+1) X（2^2+1)X(2^4+1)X.X(2^32+1)+1

Answer 1

设M=(2+1) X（2^2+1)X(2^4+1)X.X(2^32+1)+1

M=(2-1)M=(2-1)(2+1) X（2^2+1)X(2^4+1)X.X(2^32+1)+1

=(2^2-1) X（2^2+1)X(2^4+1)X.X(2^32+1)+1

=(2^4-1)(2^4+1)X.X(2^32+1)+1

=(2^8-1)X.X(2^32+1)+1

=(2^64-1)+1

=2^64