问题: 22
解答:
(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)
= (2²-1)(2²+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)
= 1
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