Question

On questions involving the radical of an integer and different number theoretic functions: the Euler's totient function

score 294 · Answer 1 · 2026-04-14 20:57:11

294

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On questions involving the radical of an integer and different number theoretic functions: the Euler's totient function

Published on 14 Apr 2026 - 20:57

score 278 · Answer 2 · 2026-05-10 11:15:09

278

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Equations involving the Euler's totient function and Mersenne primes

Published on 10 May 2026 - 11:15

score 8.3k · Answer 3 · 2026-04-16 17:04:29

8.3k

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$n \phi (m) = m\phi (n)$ implies $n=m$ (Euler totient)

Published on 16 Apr 2026 - 17:04

score 157 · Answer 4 · 2026-04-17 03:36:17

157

Views

On Euler phi function

Published on 17 Apr 2026 - 3:36

score 30 · Answer 5 · 2026-05-10 15:09:00

30

Views

Questions regarding equations that involve arithmetic functions, and odd integers being deficient or perfect

Published on 10 May 2026 - 15:09

score 151 · Answer 6 · 2026-05-10 16:58:18

151

Views

Primitive Roots and their orders

Published on 10 May 2026 - 16:58

score 556 · Answer 7 · 2026-04-11 03:57:42

556

Views

Euler's totient function - prove the product formula

Published on 11 Apr 2026 - 3:57

score 63 · Answer 8 · 2026-04-11 00:49:49

63

Views

Trying to understand the proof of Eulers generalisation of Fermat's theorem

Published on 11 Apr 2026 - 0:49

score 4.5k · Answer 9 · 2026-04-13 08:37:42

4.5k

Views

How do I show that $n$ is prime if and only if $\phi(n) = n − 1$?

Published on 13 Apr 2026 - 8:37

score 522 · Answer 10 · 2026-04-14 21:26:16

522

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Are there infinitely many numbers such that $ \phi(n)=\phi(n-1)+\phi(n-2)$?

Published on 14 Apr 2026 - 21:26

score 146 · Answer 11 · 2026-04-16 05:13:46

146

Views

Euler's Totient Function: $\phi(n)\geq n\cdot 2^{-r}$.

Published on 16 Apr 2026 - 5:13

score 166 · Answer 12 · 2026-04-14 20:52:07

166

Views

About the solutions of $x^{\varphi(yz)}+y^{\varphi(xz)}=z^{\varphi(xy)}$, being $\varphi(n)$ the Euler's totient

Published on 14 Apr 2026 - 20:52

score 96 · Answer 13 · 2026-04-15 12:15:28

96

Views

Can we find all solutions to the equation $\frac{\phi(n)}{\phi(n-1)}=5$, where $\phi(n)$ denotes the totient function?

Published on 15 Apr 2026 - 12:15

score 77 · Answer 14 · 2026-04-11 14:48:36

77

Views

Is there a nice formula for $\prod_{j=1}^n \phi(j)\ $?

Published on 11 Apr 2026 - 14:48

score 560 · Answer 15 · 2026-04-14 20:33:14

560

Views

Has $\phi(n)=\phi(n+1)=\phi(n+2)$ the only solution $n=5186\ $?

Published on 14 Apr 2026 - 20:33

List Question

On questions involving the radical of an integer and different number theoretic functions: the Euler's totient function

Equations involving the Euler's totient function and Mersenne primes

$n \phi (m) = m\phi (n)$ implies $n=m$ (Euler totient)

On Euler phi function

Questions regarding equations that involve arithmetic functions, and odd integers being deficient or perfect

Primitive Roots and their orders

Euler's totient function - prove the product formula

Trying to understand the proof of Eulers generalisation of Fermat's theorem

How do I show that $n$ is prime if and only if $\phi(n) = n − 1$?

Are there infinitely many numbers such that $ \phi(n)=\phi(n-1)+\phi(n-2)$?

Euler's Totient Function: $\phi(n)\geq n\cdot 2^{-r}$.

About the solutions of $x^{\varphi(yz)}+y^{\varphi(xz)}=z^{\varphi(xy)}$, being $\varphi(n)$ the Euler's totient

Can we find all solutions to the equation $\frac{\phi(n)}{\phi(n-1)}=5$, where $\phi(n)$ denotes the totient function?

Is there a nice formula for $\prod_{j=1}^n \phi(j)\ $?

Has $\phi(n)=\phi(n+1)=\phi(n+2)$ the only solution $n=5186\ $?

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