(2+1)(2^2+1)(2^4+1)(2^8+1)(2^16+1)(2^32+1)+1 (2^64+1)+1的个位数字是什么

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(2+1)(2^2+1)(2^4+1)(2^8+1)(2^16+1)(2^32+1)+1 (2^64+1)+1的个位数字是什么
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(2+1)(2^2+1)(2^4+1)(2^8+1)(2^16+1)(2^32+1)+1 (2^64+1)+1的个位数字是什么
(2+1)(2^2+1)(2^4+1)(2^8+1)(2^16+1)(2^32+1)+1 (2^64+1)+1的个位数字是什么

(2+1)(2^2+1)(2^4+1)(2^8+1)(2^16+1)(2^32+1)+1 (2^64+1)+1的个位数字是什么
(2+1)(2^2+1)(2^4+1)(2^8+1)(2^16+1)(2^32+1)+1 (2^64+1)+1
=(2-1)(2+1)(2^2+1).(2^32+1)+1
=(2^2-1)(2^2+1).(2^32+1)+1
=(2^4-1).(2^32+1)+1
=.
=(2^32-1)(2^32+1)+1
=2^64-1+1
=2^64
2^n的个位上是以:2、4、8、6循环
64/4=16,余数为0说明个位上是6
即原式的个位上是:6

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