(2+1)(2^2+1)(2 ^4+1 )(2 ^8+1)…(2 ^256+1)=?

问题描述:

(2+1)(2^2+1)(2 ^4+1 )(2 ^8+1)…(2 ^256+1)=?

(2+1)(2^2+1)(2 ^4+1 )(2 ^8+1)…(2 ^256+1)
=(2-1)(2+1)(2^2+1)(2 ^4+1 )(2 ^8+1)…(2 ^256+1)
=2 ^512-1