(2加1)(2的平方加1)(2的四次方加1)(2的八次方加1)(2的十六次方加1)+1

(2+1)(2^2+1)(2^4+1)(2^8+1)(2^16+1)+1 =(2+1)*(2-1)*(2^2+1)(2^4+1)(2^8+1)(2^16+1)/(2-1)+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 =2^32-1+1 =2^32