List questions from totient-function

Published on 30 Mar 2026 - 10:21

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Calculating $\phi(63)$

Published on 21 May 2017 - 19:00

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If $x \geq 2$ prove that $\sum_{ n \leq x} \frac{1}{\phi(n)} = \mathcal{O}(\log(x))$

Published on 27 May 2017 - 18:07

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How many numbers less than $m$ and relatively prime to $n$, where $m>n$?

Published on 23 Feb 2026 - 17:26

1.3k

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Euler's totient function of a product for arbitrary n and m

Published on 28 Mar 2026 - 1:48

167

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A simpler proof that if $m \mid 2^n+1$, then $m \mid 2^m+1$

Published on 31 May 2017 - 19:49

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Inverse of Euler's phi (totient) function

Published on 31 May 2017 - 20:54

763

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Euler's Totient Function as a multiplication of terms

Published on 26 Mar 2026 - 2:35

134

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Equation $x = \varphi(x) + \varphi(x + 1) – 1$

Published on 08 Jun 2017 - 12:48

739

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Euler's totient function of $n^2$

Published on 17 Jun 2017 - 19:19

420

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What is $1111^{2222}\pmod9$?

Published on 21 Jun 2017 - 0:13

332

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Interesting question about Euler's Phi function

Published on 21 Jun 2017 - 3:48

553

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Find remainder using Euler's totient function

Published on 21 Jun 2017 - 10:44

180

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Does $\sum_{n=1}^\infty \frac{1}{n!}{n\brace \varphi(n)}$ converge, where ${n\brace m}$ are Stirling numbers of second kind?

Published on 29 Mar 2026 - 3:36

171

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If $h|mn$ and $\gcd(m, n)=1$ then $h=dd^\prime$ where $d|m$ and $d^\prime|n$

Published on 21 Jun 2017 - 21:15

List Question

On odd integers $n\geq 1$ that satisfy $2n\varphi(\sigma(n))=\sigma(n)\varphi(n)$

Calculating $\phi(63)$

If $x \geq 2$ prove that $\sum_{ n \leq x} \frac{1}{\phi(n)} = \mathcal{O}(\log(x))$

How many numbers less than $m$ and relatively prime to $n$, where $m>n$?

Euler's totient function of a product for arbitrary n and m

A simpler proof that if $m \mid 2^n+1$, then $m \mid 2^m+1$

Inverse of Euler's phi (totient) function

Euler's Totient Function as a multiplication of terms

Equation $x = \varphi(x) + \varphi(x + 1) – 1$

Euler's totient function of $n^2$

What is $1111^{2222}\pmod9$?

Interesting question about Euler's Phi function

Find remainder using Euler's totient function

Does $\sum_{n=1}^\infty \frac{1}{n!}{n\brace \varphi(n)}$ converge, where ${n\brace m}$ are Stirling numbers of second kind?

If $h|mn$ and $\gcd(m, n)=1$ then $h=dd^\prime$ where $d|m$ and $d^\prime|n$

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