问题标题:
(1)计算:(2+1)(2^2+1)(2^4+1)……(2^32+1)(2)试求(1)中结果的个位数字
问题描述:
(1)计算:(2+1)(2^2+1)(2^4+1)……(2^32+1)(2)试求(1)中结果的个位数字
刘迁回答:
(2+1)(2^2+1)(2^4+1)(2^8+1)(2^16+1)(2^32+1)
=(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
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