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15
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Closed form for totient related product

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#number-theory #prime-numbers #totient-function #twin-primes
91
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Find other factors of the euler function of $2^k-1$ where $k\ge 2$ is an integer, except $2$.

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#totient-function
92
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Proof that Euler's Totient Theorem is multiplicative using a well defined and bijective function

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#totient-function
263
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Prove that $ \lim_{N\to \infty} \sum_{n=1}^N \frac{1}{\phi(n)} $ exists or does not exist

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#real-analysis #calculus #sequences-and-series #limits #totient-function
675
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Calculate all $n \in \Bbb N \setminus \{41\}$ such that $\phi(n)=40$?

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#totient-function
53
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Totient gap and nontotient-gap

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#elementary-number-theory #totient-function
98
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Why is it that exponents that are divisors of φ(N) capable of generating the identity element as a power when N is prime?

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#modular-arithmetic #divisibility #totient-function #fermat-numbers
128
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Does this iterated sequence always end in a finite number of steps to a number which is divisible by a perfect number?

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#number-theory #fixed-point-theorems #totient-function #divisor-sum #perfect-numbers
31
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Euler's theorem modification?

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#totient-function
869
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Proving that Carmichael function divides Euler's totient function with division

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#divisibility #totient-function #carmichael-function
1k
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Prove that for any odd integer a, $a^{33} \equiv a \pmod {4080}$

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#elementary-number-theory #modular-arithmetic #totient-function
234
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Totient function trick?

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#number-theory #elementary-number-theory #prime-numbers #totient-function
39
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An elaboration of Thm. 8.11(c) proof.

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#number-theory #elementary-number-theory #proof-verification #modular-arithmetic #totient-function
109
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Representation of Euler phi function

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#number-theory #totient-function
118
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If $2^x \equiv 2^4 + 2^4 \pmod 7$, then what is the value of $\mathbf x$?

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#elementary-number-theory #modular-arithmetic #totient-function

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