Question

Reciprocal-totient function, in term of the totient function?

score 218 · Answer 1 · 2026-03-21 16:06:59

218

Views

Reciprocal-totient function, in term of the totient function?

Published on 21 Mar 2026 - 16:06

score 481 · Answer 2 · 2026-03-17 13:41:05

481

Views

A congruence with the Euler's totient function and sum of divisors function

Published on 17 Mar 2026 - 13:41

score 65 · Answer 3 · 2026-03-22 06:41:57

65

Views

Identify sequences from OEIS or the literature, or find examples of odd integers $n\geq 1$ satisfying these equations related to odd perfect numbers

Published on 22 Mar 2026 - 6:41

score 622 · Answer 4 · 2026-03-22 02:52:41

622

Views

For which natural numbers are $\phi(n)=2$?

Published on 22 Mar 2026 - 2:52

score 152 · Answer 5 · 2026-03-24 07:36:54

152

Views

A congruence with the Euler's totient function and number of divisors function

Published on 24 Mar 2026 - 7:36

score 54 · Answer 6 · 2026-03-17 08:32:45

54

Views

Does converge $\sum_{n=2}^\infty\frac{1}{\varphi(p_n-2)-1+p_n}$, where $\varphi(n)$ is the Euler's totient function and $p_n$ the $n$th prime number?

Published on 17 Mar 2026 - 8:32

score 107 · Answer 7 · 2026-03-17 18:38:17

107

Views

On the behaviour of $\frac{1}{N}\sum_{k=1}^N\frac{\pi(\varphi(k)+N)}{\varphi(\pi(k)+N)}$ as $N\to\infty$

Published on 17 Mar 2026 - 18:38

score 178 · Answer 8 · 2026-03-19 18:04:57

178

Views

On the solutions of an equation involving the Euler's totient function that is solved by the primes of Rassias' conjecture

Published on 19 Mar 2026 - 18:04

score 47 · Answer 9 · 2026-03-19 18:45:30

Are there any known methods for finding Upper/Lower bounds on the number of Totients of x less than another number y?

score 1.3k · Answer 10 · 2026-03-20 02:50:47

1.3k

Views

How is Carmichael's function subgroup of Euler's Totient function?

Published on 20 Mar 2026 - 2:50

score 758 · Answer 11 · 2026-03-19 23:07:27

758

Views

How to solve $\phi(n)=78$?

Published on 19 Mar 2026 - 23:07

score 75 · Answer 12 · 2026-03-22 21:36:30

75

Views

On the equation $\varphi(2+\varphi(x))=2^{y-1}$, where $\varphi(n)$ denotes the Euler's totient function

Published on 22 Mar 2026 - 21:36

score 55 · Answer 13 · 2026-03-22 11:38:31

55

Views

Order of the number of solution to the equation $\phi(x) = n$

Published on 22 Mar 2026 - 11:38

score 2.5k · Answer 14 · 2026-03-17 05:55:28

2.5k

Views

Solve congruence with large exponents

Published on 17 Mar 2026 - 5:55

score 45 · Answer 15 · 2026-03-22 08:32:49

45

Views

Prove for non prime $n$ there exists $m \in \mathbb{Z}/n\mathbb{Z} \setminus \{0\}: m^{n-1} \neq 1 \mod n$

Published on 22 Mar 2026 - 8:32

List Question

Reciprocal-totient function, in term of the totient function?

A congruence with the Euler's totient function and sum of divisors function

Identify sequences from OEIS or the literature, or find examples of odd integers $n\geq 1$ satisfying these equations related to odd perfect numbers

For which natural numbers are $\phi(n)=2$?

A congruence with the Euler's totient function and number of divisors function

Does converge $\sum_{n=2}^\infty\frac{1}{\varphi(p_n-2)-1+p_n}$, where $\varphi(n)$ is the Euler's totient function and $p_n$ the $n$th prime number?

On the behaviour of $\frac{1}{N}\sum_{k=1}^N\frac{\pi(\varphi(k)+N)}{\varphi(\pi(k)+N)}$ as $N\to\infty$

On the solutions of an equation involving the Euler's totient function that is solved by the primes of Rassias' conjecture

Are there any known methods for finding Upper/Lower bounds on the number of Totients of x less than another number y?

How is Carmichael's function subgroup of Euler's Totient function?

How to solve $\phi(n)=78$?

On the equation $\varphi(2+\varphi(x))=2^{y-1}$, where $\varphi(n)$ denotes the Euler's totient function

Order of the number of solution to the equation $\phi(x) = n$

Solve congruence with large exponents

Prove for non prime $n$ there exists $m \in \mathbb{Z}/n\mathbb{Z} \setminus \{0\}: m^{n-1} \neq 1 \mod n$

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