(2+1)(2²+1)(2^4+1)(2^8+1)(2^16+1)(2^32+1)的解
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![(2+1)(2²+1)(2^4+1)(2^8+1)(2^16+1)(2^32+1)的解](/uploads/image/z/2114612-44-2.jpg?t=%EF%BC%882%2B1%29%282%26%23178%3B%2B1%29%282%5E4%2B1%29%282%5E8%2B1%EF%BC%89%EF%BC%882%5E16%2B1%EF%BC%89%EF%BC%882%5E32%2B1%EF%BC%89%E7%9A%84%E8%A7%A3)
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(2+1)(2²+1)(2^4+1)(2^8+1)(2^16+1)(2^32+1)的解
(2+1)(2²+1)(2^4+1)(2^8+1)(2^16+1)(2^32+1)的解
(2+1)(2²+1)(2^4+1)(2^8+1)(2^16+1)(2^32+1)的解
(2+1)(2²+1)(2^4+1)(2^8+1)(2^16+1)(2^32+1)
=(2-1)(2+1)(2²+1)(2^4+1)(2^8+1)(2^16+1)(2^32+1)
=2^64-1
(2+1)*(2^2+1)*(2^4+1)*(2^8+1)*(2^16+1)*(2^32+1)
=(2^2-1)*(2^2+1)*(2^4+1)*(2^8+1)*(2^16+1)*(2^32+1)
=(2^4-1)*(2^4+1)*(2^8+1)*(2^16+1)*(2^32+1)
=(2^8-1)*(2^8+1)*(2^16+1)*(2^32+1)
=(2^16-1)*(2^16+1)*(2^32+1)
=(2^32-1)*(2^32+1)
=2^64-1