(2+1)(2^2+1)(2^4+1)x…x(2^2n+1)

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(2+1)(2^2+1)(2^4+1)x…x(2^2n+1)(2+1)(2^2+1)(2^4+1)x…x(2^2n+1)(2+1)(2^2+1)(2^4+1)x…x(2^2n+1)(2-1)×(2+1

(2+1)(2^2+1)(2^4+1)x…x(2^2n+1)
(2+1)(2^2+1)(2^4+1)x…x(2^2n+1)

(2+1)(2^2+1)(2^4+1)x…x(2^2n+1)
(2-1)×(2+1)(2^2+1)(2^4+1)x…x(2^2n+1)连续用平方差公式
=(2的4n次方-1)