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15
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Around similar inequalities than an inequality due to Nicolas, that involve products of consecutive Ramanujan primes

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#inequality #prime-numbers #analytic-number-theory #totient-function #conjectures
83
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How far apart can be solutions of $\varphi(m)=\varphi(n)$?

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#elementary-number-theory #totient-function
121
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Conjecture about the totient function

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#number-theory #elementary-number-theory #totient-function
108
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Even more surprising conjecture

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#number-theory #elementary-number-theory #totient-function
120
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Infinite many solutions of $\varphi(2n+1)=\varphi(4n+1)$?

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#number-theory #elementary-number-theory #totient-function #coprime
47
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How to show that any finite Abelian Group with a certain property is cyclic

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#abstract-algebra #group-theory #abelian-groups #totient-function
43
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On solutions of $\varphi(n)=\frac{1}{2n}\sum_{1\leq d\mid n}\varphi(dn)$, where $\varphi(m)$ denotes the Euler's totient function

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#elementary-number-theory #divisibility #totient-function #perfect-numbers #dirichlet-convolution
48
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Can a squarefree composite number $\ n\ $ satisfy $\ n\mid \sigma(n)+\varphi(n)$?

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#totient-function #divisor-sum
566
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Euler Theorem and Modular Inverse for Non Coprime Problem

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#number-theory #modular-arithmetic #totient-function
225
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Another proof of $\phi (p^r) = (p-1)p^{r-1}$

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#elementary-number-theory #ring-theory #prime-numbers #totient-function
88
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Equations with Euler's Totient Function

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#number-theory #totient-function
300
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Is there an odd solution of $\varphi(n)+n=\sigma(n)$?

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#number-theory #elementary-number-theory #totient-function #divisor-sum
48
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Question about $\varphi(n)+n\mid \sigma(n)$

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#divisibility #totient-function #divisor-sum
145
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How to count necklaces with this additional requirement?

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#combinatorics #permutations #totient-function #necklace-and-bracelets
36
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Eulers totient functions

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#totient-function

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