(2+1)(2-1)(2²+1)(2的四次幂+1)······(2的三十二次幂+1)+1

问题描述:

(2+1)(2-1)(2²+1)(2的四次幂+1)······(2的三十二次幂+1)+1

(2+1)(2-1)(2²+1)(2的四次幂+1)······(2的三十二次幂+1)+1
=(2²-1)(2²+1)(2^4+1)......(2的三十二次幂+1)+1
=(2^4-1)(2^4+1)....(2的三十二次幂+1)+1
=......
=2^64-1+1
=2^64

2的六十四次方

(2+1)(2-1)(2²+1)(2的四次幂+1)······(2的三十二次幂+1)+1=(2²-1)(2²+1)(2^4+1)……(2^32+1)+1=(2^4-1)(2^4+1)……(2^32+1)+1……=(2^32-1)(2^32+1)+1=2^64-1=2^64...