做2给个启发
(3+1)(3^2+1)(3^4+1)(3^8+1)
=(3-1)(3+1)(3^2+1)(3^4+1)(3^8+1) /(3-1)
=(3^2-1)(3^2+1)(3^4+1)(3^8+1) /(3-1)
=(3^4-1)(3^4+1)(3^8+1) /(3-1)
=(3^8-1)(3^8-1)/(3-1)
=(2^16-1)/2
=2^15-1/2
∴(3+1)*(3^2+1)*(3^4+1)*(3^8+1)*……*(3^32+1) =3^63 - 0.5
做2给个启发
(3+1)(3^2+1)(3^4+1)(3^8+1)
=(3-1)(3+1)(3^2+1)(3^4+1)(3^8+1) /(3-1)
=(3^2-1)(3^2+1)(3^4+1)(3^8+1) /(3-1)
=(3^4-1)(3^4+1)(3^8+1) /(3-1)
=(3^8-1)(3^8-1)/(3-1)
=(2^16-1)/2
=2^15-1/2
∴(3+1)*(3^2+1)*(3^4+1)*(3^8+1)*……*(3^32+1) =3^63 - 0.5