Question

Is every even square a value of $\varphi(n)$?

score 84 · Answer 1 · 2018-05-20 13:36:54

84

Views

Is every even square a value of $\varphi(n)$?

Published on 20 May 2018 - 13:36

score 2.6k · Answer 2 · 2026-03-25 09:25:28

2.6k

Views

Only finitely many $n$ such that $\phi(n) = m$

Published on 25 Mar 2026 - 9:25

score 37 · Answer 3 · 2026-03-25 03:04:01

37

Views

An artificious equation that is satisfied by even perfect numbers, and a related conjecture

Published on 25 Mar 2026 - 3:04

score 118 · Answer 4 · 2018-05-23 18:28:42

118

Views

A question about Fermat-Euler Theorem restrictions

Published on 23 May 2018 - 18:28

score 45 · Answer 5 · 2026-03-25 13:04:57

45

Views

mod of a number with a really long exponent

Published on 25 Mar 2026 - 13:04

score 190 · Answer 6 · 2026-03-25 09:28:58

190

Views

Finishing the task to find the solutions of $\frac{1}{x}-\frac{1}{y}=\frac{1}{\varphi(xy)},$ where $\varphi(n)$ denotes the Euler's totient function

Published on 25 Mar 2026 - 9:28

score 245 · Answer 7 · 2018-05-27 12:57:16

245

Views

Can I check, whether $n$ with $\frac{n}{\phi(n)}=r$ exists?

Published on 27 May 2018 - 12:57

score 1.4k · Answer 8 · 2018-05-27 17:03:59

1.4k

Views

Modular exponentiation with unknown base using Euler's theorem

Published on 27 May 2018 - 17:03

score 161 · Answer 9 · 2026-03-25 04:43:32

161

Views

On prime-perfect numbers and the equation $\frac{\varphi(n)}{n}=\frac{\varphi(\operatorname{rad}(n))}{\operatorname{rad}(\sigma(n))}$

Published on 25 Mar 2026 - 4:43

score 151 · Answer 10 · 2026-03-25 04:42:50

151

Views

Estimation of the number of solutions for the equation $\sigma(\varphi(n))=\sigma(\operatorname{rad}(n))$

Published on 25 Mar 2026 - 4:42

score 220 · Answer 11 · 2018-06-08 13:41:37

220

Views

Euler function of product of two prime squares

Published on 08 Jun 2018 - 13:41

score 51 · Answer 12 · 2026-03-22 16:37:22

51

Views

Representation of limit of products of the fixed necklaces of length n composed of a types of beads

Published on 22 Mar 2026 - 16:37

score 354 · Answer 13 · 2026-03-25 10:20:25

354

Views

$\phi(n)^{\sigma(n)^{\tau(n)}}=n^2$ find all natural numbers $n$ such that the equality is true

Published on 25 Mar 2026 - 10:20

score 209 · Answer 14 · 2018-06-11 15:28:50

209

Views

Does $\sum\limits_{n=1}^\infty \ln\left(\frac{p_n}{p_n - 1}\right)$ converge?

Published on 11 Jun 2018 - 15:28

score 274 · Answer 15 · 2026-03-25 07:35:41

274

Views

What are amazing results concerning Euler totient function?

Published on 25 Mar 2026 - 7:35

List Question

Is every even square a value of $\varphi(n)$?

Only finitely many $n$ such that $\phi(n) = m$

An artificious equation that is satisfied by even perfect numbers, and a related conjecture

A question about Fermat-Euler Theorem restrictions

mod of a number with a really long exponent

Finishing the task to find the solutions of $\frac{1}{x}-\frac{1}{y}=\frac{1}{\varphi(xy)},$ where $\varphi(n)$ denotes the Euler's totient function

Can I check, whether $n$ with $\frac{n}{\phi(n)}=r$ exists?

Modular exponentiation with unknown base using Euler's theorem

On prime-perfect numbers and the equation $\frac{\varphi(n)}{n}=\frac{\varphi(\operatorname{rad}(n))}{\operatorname{rad}(\sigma(n))}$

Estimation of the number of solutions for the equation $\sigma(\varphi(n))=\sigma(\operatorname{rad}(n))$

Euler function of product of two prime squares

Representation of limit of products of the fixed necklaces of length n composed of a types of beads

$\phi(n)^{\sigma(n)^{\tau(n)}}=n^2$ find all natural numbers $n$ such that the equality is true

Does $\sum\limits_{n=1}^\infty \ln\left(\frac{p_n}{p_n - 1}\right)$ converge?

What are amazing results concerning Euler totient function?

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