List questions from totient-function

Published on 06 Jul 2022 - 16:43

102

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Superior limit of sum of iterates of $\phi (n)$

Published on 15 Jul 2022 - 3:04

216

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Is this conjecture related to Euler's totient function known?

Published on 19 Jul 2022 - 11:46

592

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If $p$ and $2p + 1$ are odd primes and $n = 4p$, prove that $φ(n + 2) = φ(n) + 2$.

Published on 29 Mar 2026 - 15:40

70

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Claim: The Euler's totient function is unique with the following property

Published on 26 Mar 2026 - 4:30

36

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Is this proof correct to show that $\text{Im}(\varphi)$ is countably infinite?

Published on 22 Mar 2026 - 1:32

333

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Elementary proof for $\varphi(n)\ge\frac n{2\log(\log(n))}$

Published on 27 Mar 2026 - 3:59

196

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Find all $m\ge 2$ such that $\phi(n,m)\ge (m-n)\phi(1,m)/m$ and $m^2\mid 2022^m+1$

Published on 11 Sep 2022 - 21:24

99

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Are there infinitely many $n$ where the (number of non coprime pairs) $-$ (number of coprime pairs) is 3?

Published on 16 Sep 2022 - 19:52

704

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Question about proving $\phi(mn) = \phi(m)\phi(n)$

Published on 20 Sep 2022 - 6:44

44

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Using E.F. Theorem to reduce exponent

Published on 25 Sep 2022 - 8:29

132

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Questions Related to the Twin-Prime Conjecture

Published on 26 Mar 2026 - 14:20

117

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Show that $\varphi(n^2)=\varphi(k^2)$ if and only if $n=k$, where $\varphi$ is the Euler's function.

Published on 03 Oct 2022 - 4:42

48

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`Fermat-Theorem and Linear equations

Published on 08 Oct 2022 - 5:31

41

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Proving that $\sum_{k\le x}\frac{k}{\varphi(k)}=Ax+O(\log x)$

Published on 27 Mar 2026 - 18:26

List Question

How to read m $\bot$ n in totient function?

Superior limit of sum of iterates of $\phi (n)$

Is this conjecture related to Euler's totient function known?

If $p$ and $2p + 1$ are odd primes and $n = 4p$, prove that $φ(n + 2) = φ(n) + 2$.

Claim: The Euler's totient function is unique with the following property

Is this proof correct to show that $\text{Im}(\varphi)$ is countably infinite?

Elementary proof for $\varphi(n)\ge\frac n{2\log(\log(n))}$

Find all $m\ge 2$ such that $\phi(n,m)\ge (m-n)\phi(1,m)/m$ and $m^2\mid 2022^m+1$

Are there infinitely many $n$ where the (number of non coprime pairs) $-$ (number of coprime pairs) is 3?

Question about proving $\phi(mn) = \phi(m)\phi(n)$

Using E.F. Theorem to reduce exponent

Questions Related to the Twin-Prime Conjecture

Show that $\varphi(n^2)=\varphi(k^2)$ if and only if $n=k$, where $\varphi$ is the Euler's function.

`Fermat-Theorem and Linear equations

Proving that $\sum_{k\le x}\frac{k}{\varphi(k)}=Ax+O(\log x)$

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