List questions from totient-function

Published on 17 Apr 2026 - 1:13

72

Views

A question concerning higher residues (quadratic and so on)

Published on 12 Apr 2026 - 14:09

1.2k

Views

Expression for the inverse of Euler's totient function $\phi^{-1}$

Published on 24 Apr 2026 - 2:43

92

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Direct passage from $n$ prime to $n$ non-prime in Euler Totient Function $\Phi$

Published on 14 Apr 2026 - 14:13

1.1k

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Which of these numbers could be the exact number of elements of order $21$ in a group?

Published on 10 May 2026 - 16:20

522

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Is the multiplicative group $\Bbb Z_{36}^\times$ cyclic?

Published on 11 Apr 2026 - 23:17

170

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Is the function $f(n)=\varphi(n)+\varphi(n+1)-n$ surjective?

Published on 19 Apr 2026 - 8:06

94

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For which even integers $k$ has $\varphi(n+1)-\varphi(n)=k$ a solution?

Published on 16 Apr 2026 - 5:48

591

Views

How do I find the last digit of a large exponent?

Published on 10 Apr 2026 - 0:07

277

Views

Are these limits correct? $\lim_{n\to \infty}\text{sup} \frac{\lambda (n)}{n}=1$ and $\lim_{n\to \infty}\text{inf} \frac{\lambda (n)}{n}=0$ exist?

Published on 10 May 2026 - 12:12

227

Views

Asymptotic formula for $\sum_{k=1}^n \frac{1}{\varphi(k)}$?

Published on 12 Apr 2026 - 19:17

86

Views

Lower bounds for totient function of a Carmichael number

Published on 09 Apr 2026 - 4:31

49

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Question about conservation( unchangingness ) of order of modular multiplicative cycle when cycle is multiplied by relatively prime number.

Published on 11 Apr 2026 - 15:12

436

Views

Euler's Totient Function and Residue Classes

Published on 14 Apr 2026 - 14:24

189

Views

Regarding square-free integers and Euler's function

Published on 13 Apr 2026 - 21:49

List Question

On numbers with small $\varphi(n)/n$

A question concerning higher residues (quadratic and so on)

Expression for the inverse of Euler's totient function $\phi^{-1}$

Direct passage from $n$ prime to $n$ non-prime in Euler Totient Function $\Phi$

Which of these numbers could be the exact number of elements of order $21$ in a group?

Is the multiplicative group $\Bbb Z_{36}^\times$ cyclic?

Is the function $f(n)=\varphi(n)+\varphi(n+1)-n$ surjective?

For which even integers $k$ has $\varphi(n+1)-\varphi(n)=k$ a solution?

How do I find the last digit of a large exponent?

Are these limits correct? $\lim_{n\to \infty}\text{sup} \frac{\lambda (n)}{n}=1$ and $\lim_{n\to \infty}\text{inf} \frac{\lambda (n)}{n}=0$ exist?

Asymptotic formula for $\sum_{k=1}^n \frac{1}{\varphi(k)}$?

Lower bounds for totient function of a Carmichael number

Question about conservation( unchangingness ) of order of modular multiplicative cycle when cycle is multiplied by relatively prime number.

Euler's Totient Function and Residue Classes

Regarding square-free integers and Euler's function

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