首先:(1+2)(1+2^2)(1+2^4)(1+2^8)(1+2^16)(1+2^32)=(2-1)(2+1)(2^2+1)(2^4+1)((2^8+1)(2^16+1)(2^32+1)=(2^2-1)(2^2+1)(2^4+1)(2^8+1)(2^16+1)(2^32+1)····=(2^64-1)