(2^2+1)×(2^4+1)×(2^8+1)×(2^16+1)X(2^32+1)因式分解,

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(2^2+1)×(2^4+1)×(2^8+1)×(2^16+1)X(2^32+1)因式分解,(2^2+1)×(2^4+1)×(2^8+1)×(2^16+1)X(2^32+1)因式分解,(2^2+1)×

(2^2+1)×(2^4+1)×(2^8+1)×(2^16+1)X(2^32+1)因式分解,
(2^2+1)×(2^4+1)×(2^8+1)×(2^16+1)X(2^32+1)因式分解,

(2^2+1)×(2^4+1)×(2^8+1)×(2^16+1)X(2^32+1)因式分解,
(2+1)(2^2+1)(2^4+1)(2^8+1)……(2^32+1) =(2-1)(2+1)(2^2+1)(2^4+1)(2^8+1)……(2^32+1) =(2^2-1)(2^2+1)(2^4+1)(2^8+1)……(2^32+1) =(2^4-1)(2^4+1)(2^8+1)……(2^32+1) =(2^32-1)(2^32+1) =2^64-1