Recent questions tagged euler-phi-function

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Consider the Euler’s phi function given by$$\phi(n) = n \underset{p/n}{\Pi } \bigg( 1 – \frac{1}{p} \bigg)$$where $p$ runs over all the primes dividing $n$. What is the v...
2 2 votes
1 1 answer
2.4k
2.4k views
Consider the following statements:$S_1$: For any integer $n>1, \: a^{\phi(n)} \equiv 1(mod \: n)$ for all $a \in Z_n^*$ , where $\phi(n)$ is Euler’s phi function.$S_2$: I...
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