List questions from totient-function

Published on 29 Jun 2017 - 19:15

134

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First step with the equation $\sigma(n)=\phi(n)+\operatorname{rad}(n)$: a first statement

Published on 28 Mar 2026 - 1:48

78

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Relatively prime numbers are prime

Published on 23 Feb 2026 - 17:23

89

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On composite solutions of $\operatorname{rad}(n-1)=\operatorname{rad}(\varphi(n))$

Published on 28 Mar 2026 - 3:27

315

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Euler Totient of Numbers Between Twin Primes.

Published on 26 Mar 2026 - 6:34

51

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Smallest $m$ for which $U_m$ has an element of order x?

Published on 19 Jul 2017 - 16:25

126

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How to reformulate a multiplicative formula (with two primes, perhaps like totient-function)?

Published on 26 Mar 2026 - 2:35

943

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Compute $3^{100} \pmod {9797}$ using Euler's Theorem

Published on 25 Jul 2017 - 22:17

444

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Find all $x$ such that $x^{35} + 5x^{19} + 11x^3$ is divisible by 17.

Published on 26 Mar 2026 - 6:21

732

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Using Euler’s Theorem, prove that if n is a number not divisible by 2 or 5, then n divides a number consisting of all 9’s.

Published on 25 Jul 2017 - 23:16

472

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How to derive the Asymptotic series of sums related to Euler's Summatory Function?

Published on 26 Jul 2017 - 13:13

358

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Sums related to the Euler totient function

Published on 27 Jul 2017 - 11:06

1.6k

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Dirichlet series generating function of Euler totient function

Published on 26 Mar 2026 - 22:19

402

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Find $x^{98}$ congruent to $7$ (mod $18$)

Published on 01 Aug 2017 - 10:16

403

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is there an elementary proof of $\sum\limits_{d|n}\phi(d)=n$?

Published on 11 Aug 2017 - 11:48

List Question

When is $\gcd(\sigma(n),\phi(n))$ is a prime number with $n$ a postive integer?

First step with the equation $\sigma(n)=\phi(n)+\operatorname{rad}(n)$: a first statement

Relatively prime numbers are prime

On composite solutions of $\operatorname{rad}(n-1)=\operatorname{rad}(\varphi(n))$

Euler Totient of Numbers Between Twin Primes.

Smallest $m$ for which $U_m$ has an element of order x?

How to reformulate a multiplicative formula (with two primes, perhaps like totient-function)?

Compute $3^{100} \pmod {9797}$ using Euler's Theorem

Find all $x$ such that $x^{35} + 5x^{19} + 11x^3$ is divisible by 17.

Using Euler’s Theorem, prove that if n is a number not divisible by 2 or 5, then n divides a number consisting of all 9’s.

How to derive the Asymptotic series of sums related to Euler's Summatory Function?

Sums related to the Euler totient function

Dirichlet series generating function of Euler totient function

Find $x^{98}$ congruent to $7$ (mod $18$)

is there an elementary proof of $\sum\limits_{d|n}\phi(d)=n$?

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