求(2+1)(2²+1)(2^4+1)(2^8+1)(2^16+1)+1 的结果
问题描述:
求(2+1)(2²+1)(2^4+1)(2^8+1)(2^16+1)+1 的结果
答
23622025216
答
(2+1)(2^2+1)(2^4+1)(2^8+1)(2^16+1)=1×(2+1)(2^2+1)(2^4+1)(2^8+1)(2^16+1)=(2-1)×(2+1)(2^2+1)(2^4+1)(2^8+1)(2^16+1)=(2^2-1)(2^2+1)(2^4+1)(2^8+1)(2^16+1)=(2^4-1)(2^4+1)(2^8+1)(2^16+1)=(2^8-1)(2^8...