List questions from prime-factorization

Published on 22 Mar 2026 - 20:44

52

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An integer sequence defined from a variation of the Lucas–Lehmer primality test: the case of the Euler's totient function

Published on 15 Mar 2018 - 16:42

159

Views

On even integers $n\geq 2$ satisfying $\varphi(n+1)\leq\frac{\varphi(n)+\varphi(n+2)}{2}$, where $\varphi(m)$ is the Euler's totient

Published on 17 Mar 2018 - 14:36

222

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Prime ideals in $\mathbb Z[\zeta_{18}]$?

Published on 17 Mar 2018 - 21:01

150

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The arithmetic function $\frac{\operatorname{rad}(2n)}{n+\varphi(n)+1}$ and a characterization of twin primes

Published on 18 Mar 2018 - 19:34

107

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Average Kolmogorov complexity of an integer factorization

Published on 19 Mar 2026 - 15:23

321

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Markov triples that survive Euler's totient function

Published on 22 Mar 2018 - 9:57

360

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How many solutions does a quadratic congruence have?

Published on 25 Mar 2026 - 0:47

598

Views

Generalizing a unique prime factorisation with specific pattern

Published on 25 Mar 2018 - 1:07

69

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On miscellaneous questions about perfect numbers II

Published on 17 Mar 2026 - 6:15

102

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On miscellaneous questions about perfect numbers III

Published on 20 Mar 2026 - 2:59

161

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Suppose n has an odd prime divisor $p$ and $n$ is not of the form $p^k$ or $2p^k$. Show that there is no primitive root mod n.

Published on 26 Mar 2018 - 2:58

54

Views

Adding numbers whose prime factorization is known without a positional base?

Published on 27 Mar 2018 - 5:46

30

Views

Factorisation of a not straight-forward expression

Published on 29 Mar 2018 - 8:51

91

Views

confusion on factoring a number into it's prime factors

Published on 31 Mar 2018 - 19:26

List Question

Sieve of Eratosthenes : why $\sqrt n$ work?

An integer sequence defined from a variation of the Lucas–Lehmer primality test: the case of the Euler's totient function

On even integers $n\geq 2$ satisfying $\varphi(n+1)\leq\frac{\varphi(n)+\varphi(n+2)}{2}$, where $\varphi(m)$ is the Euler's totient

Prime ideals in $\mathbb Z[\zeta_{18}]$?

The arithmetic function $\frac{\operatorname{rad}(2n)}{n+\varphi(n)+1}$ and a characterization of twin primes

Average Kolmogorov complexity of an integer factorization

Markov triples that survive Euler's totient function

How many solutions does a quadratic congruence have?

Generalizing a unique prime factorisation with specific pattern

On miscellaneous questions about perfect numbers II

On miscellaneous questions about perfect numbers III

Suppose n has an odd prime divisor $p$ and $n$ is not of the form $p^k$ or $2p^k$. Show that there is no primitive root mod n.

Adding numbers whose prime factorization is known without a positional base?

Factorisation of a not straight-forward expression

confusion on factoring a number into it's prime factors

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