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On the cardinality of solution sets of $φ(x)=n$

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#totient-function
61
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Prove that if $e.d \equiv 1 \bmod (p-1)(q-1)$ then it’s impossible to have $e.d \equiv 1 \bmod pq$

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#modular-arithmetic #gcd-and-lcm #cryptography #totient-function
77
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On the number of divisors of $φ(n)$

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#totient-function
118
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Prime numbers which end with $59$ or $79$

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#elementary-number-theory #prime-numbers #totient-function #divisor-sum
154
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Prime numbers which end with 03, 23, 43, 63 or 83

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#number-theory #prime-numbers #totient-function #divisor-sum
470
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Square of prime numbers

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#number-theory #prime-numbers #totient-function #divisor-sum
32
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My idea about the number of coprime pairs up to $N$.

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#elementary-number-theory #totient-function #coprime
87
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Prove (or disprove) for any $k \ge n!$, $\phi(k) \ge \phi(n!)$

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#elementary-number-theory #prime-numbers #totient-function
85
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An inequality on Euler totient function

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#totient-function
96
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Explaining the irregularities of the number of Goldbach pairs

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#number-theory #prime-numbers #analytic-number-theory #totient-function #goldbachs-conjecture
98
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Computing $f,g$ such that $f(n)=\sum_{d|n}d\varphi(d)$ and $g(n)=\sum_{d|n}\frac{\varphi(d)}{d}$?

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#number-theory #prime-numbers #divisibility #totient-function
143
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Can $\phi(n) = \sqrt{\frac{n}{2}}$ for any natural number other than $2$?

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#number-theory #totient-function
143
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New conjecture? $(\varphi(n))! = -1 \pmod n \iff n$ is prime (nearly the same as Wilson's)

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#prime-numbers #modular-arithmetic #totient-function #conjectures #primality-test
107
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What is this proof in a number theory video?

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#elementary-number-theory #functions #prime-numbers #proof-explanation #totient-function
66
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identity of Euler's totient function

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#elementary-number-theory #totient-function

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