(2²+1)(2的四次方+1)(2的八次方+1)(2的16次方+1)
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![(2²+1)(2的四次方+1)(2的八次方+1)(2的16次方+1)](/uploads/image/z/392640-24-0.jpg?t=%282%26%23178%3B%2B1%29%282%E7%9A%84%E5%9B%9B%E6%AC%A1%E6%96%B9%2B1%29%282%E7%9A%84%E5%85%AB%E6%AC%A1%E6%96%B9%2B1%29%282%E7%9A%8416%E6%AC%A1%E6%96%B9%2B1%29)
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(2²+1)(2的四次方+1)(2的八次方+1)(2的16次方+1)
(2²+1)(2的四次方+1)(2的八次方+1)(2的16次方+1)
(2²+1)(2的四次方+1)(2的八次方+1)(2的16次方+1)
(2²+1)(2^4+1)(2^8+1)(2^16+1)
=(2²-1)(2²+1)(2^4+1)(2^8+1)(2^16+1)/(2²-1)
=(2^4-1)(2^4+1)(2^8+1)(2^16+1)/3
=(2^8-1)(2^8+1)(2^16+1)/3
=(2^16-1)(2^16+1)/3
=(2^32-1)/3