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(2+1)(2^2+1)(2^4+1)…………(2^64+1)

来源:学生作业帮 编辑:搜搜做题作业网作业帮 分类:数学作业 时间:2024/06/15 19:41:58
(2+1)(2^2+1)(2^4+1)…………(2^64+1)
(2+1)(2^2+1)(2^4+1)…………(2^64+1)
(2+1)(2^2+1)(2^4+1)(2^8+1)(2^16+1)(2^32+!)(2^64+1)
=(2-1)(2+1)(2^2+1)(2^4+1)(2^8+1)(2^16+1)(2^32+!)(2^64+1)
=(2^2-1)(2^2+1)(2^4+1)(2^8+1)(2^16+1)(2^32+!)(2^64+1)
=(2^4-1)(2^4+1)(2^8+1)(2^16+1)(2^32+!)(2^64+1)
=(2^8-1)(2^8+1)(2^16+1)(2^32+!)(2^64+1)
=(2^16-1)(2^16+1)(2^32+!)(2^64+1)
=(2^32-1)(2^32+!)(2^64+1)
=(2^64-1)(2^64+1)
=2^128-1