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

问题描述:

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

(3^2-1)(3^2+1)(3^4+1)(3^8+1)(3^16+1)(3^32+1)+1
=(3^4-1)(3^4+1)(3^8+1)(3^16+1)(3^32+1)+1
=(3^8-1)(3^8+1)(3^16+1)(3^32+1)+1
=(3^16-1)(3^16+1)(3^32+1)+1
=(3^32-1)(3^32+1)+1
=(3^64-1)+1
=3^64