1 . 设
,欧拉函数
表示在正整数1,2,3,…,
中与
互质的数的个数,例如1,3都与4互质,2,4与4不互质,所以
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8a6ee507e7f24e01947d6427c785846.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cea4ac187cbb465180e89f38250b3970.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dbc89a53c03cb86fb653bb82128f6cba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39de1bc04496b97dcf401c669e6ab44e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8a6ee507e7f24e01947d6427c785846.png)
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2 . 设
,
,若
,则
的值为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b85319a950bf16b9388aa81a5b36b67e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf27b31754829c0e8317cc065b818375.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7c6c0a39713d7a6e5a7632a9baca161.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fd1f0ace9ca0b79929e73af6c201c2e.png)
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解题方法
3 . 用三个数字“3,1,4”构成一个四位密码,共有___________ 种不同结果.
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