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Find all number $n\in \mathbb N$ such that $\varphi (n)=14$

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#elementary-number-theory #divisibility #totient-function
1.6k
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Find the sum of all positive rational numbers that are less than 10 and that have denominator 30 when written in lowest terms.

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#totient-function
400
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Asymptotic behavior $\sum_{n=1}^x\phi_k(n)$, a variant of Euler's Totient function

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#number-theory #asymptotics #totient-function #divisor-sum
41
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What am I doing wrong decrypting this RSA message?

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#modular-arithmetic #cryptography #totient-function
231
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The first digit and the last three digits of tower of exponents

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#number-theory #elementary-number-theory #totient-function #chinese-remainder-theorem
41
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Question on the Euler phi funtion.

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#totient-function
238
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Mobius Function over Euler Totient Function

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#totient-function #mobius-function
159
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A bridge between the sum of the divisors and the Totient function

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#number-theory #asymptotics #totient-function #divisor-sum
198
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Find all values of $n$ such that $\varphi(n) = n/6$.

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#number-theory #elementary-number-theory #prime-numbers #diophantine-equations #totient-function
161
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Is it possible to evaluate the summation $x=\sum_{n=1}^\infty \frac{\phi(n)}{n^2}$?

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#sequences-and-series #summation #totient-function
835
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Is there a canonical extension of Euler's totient function to the reals?

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#real-analysis #complex-analysis #number-theory #totient-function
104
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find the smallest $N$ that $\varphi(n)\ge5$ for every $n\ge N$

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#elementary-number-theory #totient-function
52
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Looking for the name and properties of ${\varphi}_{2} (r, N) = \sum_{- N \le s, t \le N, (r, s, t) = 1} 1$ and $\sum_{d \mid r} \mu (d)/d^2$

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#elementary-number-theory #summation #totient-function #mobius-function
38
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Find the number of elements in set $A=\{1,2,\ldots, N\}$ such that the element has multiples in each row of a $N \times N$ square matrix.

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#alternative-proof #totient-function
178
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Odd numbers with $\varphi(n)/n < 1/2$

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#elementary-number-theory #prime-numbers #prime-factorization #totient-function

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