(2^2+1)(2^4+1)(2^8+1)(2^16+1)(2^32+1)用幂的形式表示

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(2^2+1)(2^4+1)(2^8+1)(2^16+1)(2^32+1)用幂的形式表示(2^2+1)(2^4+1)(2^8+1)(2^16+1)(2^32+1)用幂的形式表示(2^2+1)(2^4+

(2^2+1)(2^4+1)(2^8+1)(2^16+1)(2^32+1)用幂的形式表示
(2^2+1)(2^4+1)(2^8+1)(2^16+1)(2^32+1)用幂的形式表示

(2^2+1)(2^4+1)(2^8+1)(2^16+1)(2^32+1)用幂的形式表示
(2^2+1)(2^4+1)(2^8+1)(2^16+1)(2^32+1)
=(2²-1)(2^2+1)(2^4+1)(2^8+1)(2^16+1)(2^32+1)/(2²-1)
=(2^4-1)(2^4+1)(2^8+1)(2^16+1)(2^32+1)/(2²-1)
=(2^8-1)(2^8+1)(2^16+1)(2^32+1)/(2²-1)
=(2^16-1)(2^16+1)(2^32+1)/(2²-1)
=(2^64-1)/3