(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
答
(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...