(2+1)×(2平方+1)×(2的四次方+1)×······×(2的32次方+1)

显示全部楼层 · 2012-7-17 10:06:16

(2+1)×(2^2+1)×(2^4+1)×(2^8+1)×(2^16+1)×(2^32+1)=(2-1)(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 ^表示指数。提示：就是反复利用平方差公式。...

千问 · 2012-7-17 10:06:16

(2 + 1)(2^2 + 1)(2^4 + 1) ... ( 2^32 + 1)= ( 2 - 1 ) (2 + 1)(2^2 + 1)(2^4 + 1) ... ( 2^32 + 1)= (2^2 - 1)(2^2 + 1)(2^4 + 1) ... ( 2^32 + 1)= (2^4 - 1)(2^4 + 1) ... ( 2^32 + 1...