List questions from totient-function

Published on 23 Jan 2012 - 14:25

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A proof of Euler's Theorem in Number theory

Published on 01 Feb 2012 - 5:41

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Bounds of Euler's totient function?

Published on 02 Feb 2012 - 13:58

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An approximate relationship between the totient function and sum of divisors

Published on 30 Mar 2026 - 17:01

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Composite $n$ such that $\sigma(n) \equiv n+1 \pmod{\phi(n)}$

Published on 30 Mar 2026 - 17:01

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Does $\varphi(mn) = \varphi(m)\varphi(n)$ imply that $\gcd(m,n) = 1$?

Published on 26 Feb 2012 - 19:33

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Proof of a formula involving Euler's totient function: $\varphi (mn) = \varphi (m) \varphi (n) \cdot \frac{d}{\varphi (d)}$

Published on 29 Feb 2012 - 15:02

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Calculate $a^8 \bmod 15$ for $a = 1,2,\dots,14$

Published on 09 Mar 2012 - 6:49

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How to prove $\phi(mn) > \phi(m)\phi(n)$ if $(m,n) \ne 1$

Published on 13 Mar 2012 - 1:35

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How to prove $ \phi(n) = n/2$ iff $n = 2^k$?

Published on 13 Mar 2012 - 3:38

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Proving formula involving Euler's totient function

Published on 14 Mar 2012 - 2:36

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On sums involving Euler's totient function

Published on 28 Mar 2026 - 5:20

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Generalizing a result on sums involving Euler's function

Published on 28 Mar 2026 - 5:20

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$a^n \equiv 1\pmod{\!m}\!\iff\! $ order of $a$ divides $n\,$ [Order Theorem]

Published on 02 Apr 2012 - 3:54

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Find all positive integers $n$ such that $\phi(n)=6$.

Published on 04 Apr 2012 - 14:22

List Question

Lower bound for $\phi(n)$: Is $n/5 < \phi (n) < n$ for all $n > 1$?

A proof of Euler's Theorem in Number theory

Bounds of Euler's totient function?

An approximate relationship between the totient function and sum of divisors

Composite $n$ such that $\sigma(n) \equiv n+1 \pmod{\phi(n)}$

Does $\varphi(mn) = \varphi(m)\varphi(n)$ imply that $\gcd(m,n) = 1$?

Proof of a formula involving Euler's totient function: $\varphi (mn) = \varphi (m) \varphi (n) \cdot \frac{d}{\varphi (d)}$

Calculate $a^8 \bmod 15$ for $a = 1,2,\dots,14$

How to prove $\phi(mn) > \phi(m)\phi(n)$ if $(m,n) \ne 1$

How to prove $ \phi(n) = n/2$ iff $n = 2^k$?

Proving formula involving Euler's totient function

On sums involving Euler's totient function

Generalizing a result on sums involving Euler's function

$a^n \equiv 1\pmod{\!m}\!\iff\! $ order of $a$ divides $n\,$ [Order Theorem]

Find all positive integers $n$ such that $\phi(n)=6$.

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