计算:3×(2^2+1)(2^4+1)(2^8+1)(2^16+1)+1

问题描述:

计算:3×(2^2+1)(2^4+1)(2^8+1)(2^16+1)+1

3×(2^2+1)(2^4+1)(2^8+1)(2^16+1)+1=(2^2-1)×(2^2+1)(2^4+1)(2^8+1)(2^16+1)+1=(2^4-1)(2^4+1)(2^8+1)(2^16+1)+1=(2^8-1)(2^8+1)(2^16+1)+1=(2^16-1)(2^16+1)+1=2^32-1+1=2^32