结果中保留幂的形式,(2+1)(2^2+1) (2) (2+1)(2^2+1)(2^4+1),猜想(2+1)(2^2+1)(2^4+1)(2^8+1)的

问题描述:

结果中保留幂的形式,(2+1)(2^2+1) (2) (2+1)(2^2+1)(2^4+1),猜想(2+1)(2^2+1)(2^4+1)(2^8+1)的

1L正解了

(2+1)(2^2+1)=(2-1)(2+1)(2^2+1)=(2^2-1)(2^2+1)=2^4-1(2+1)(2^2+1)(2^4+1)(同样道理在前面加个2-1)=(2-1)(2+1)(2^2+1)(2^4+1)=(2^2-1)(2^2+1)(2^4+1)=(2^4-1)(2^4+1)=2^8-1∴(2+1)(2^2+1)(2^4...