(2+1)(2^2+1)(2^4+1)(2^8+1)(2^16+1)(2^32+1)+1求解
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(2+1)(2^2+1)(2^4+1)(2^8+1)(2^16+1)(2^32+1)+1
= (2-1)(2+1)(2^2+1)(2^4+1)(2^8+1)(2^16+1)(2^32+1)+1
=(2^2-1)(2^2+1)(2^4+1)(2^8+1)(2^16+1)(2^32+1)+1
= ...
=(2^64-1) + 1
= 2^64
= (2-1)(2+1)(2^2+1)(2^4+1)(2^8+1)(2^16+1)(2^32+1)+1
=(2^2-1)(2^2+1)(2^4+1)(2^8+1)(2^16+1)(2^32+1)+1
= ...
=(2^64-1) + 1
= 2^64
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