List questions from prime-factorization

Published on 23 Apr 2026 - 2:30

58

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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 10 May 2026 - 15:47

165

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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 10 May 2026 - 17:01

226

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

Published on 11 Apr 2026 - 1:00

156

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

Published on 10 May 2026 - 17:00

111

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Average Kolmogorov complexity of an integer factorization

Published on 25 Apr 2026 - 19:47

327

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Markov triples that survive Euler's totient function

Published on 10 May 2026 - 15:42

364

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How many solutions does a quadratic congruence have?

Published on 10 May 2026 - 11:19

601

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Generalizing a unique prime factorisation with specific pattern

Published on 12 Apr 2026 - 11:07

74

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On miscellaneous questions about perfect numbers II

Published on 10 May 2026 - 14:05

111

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On miscellaneous questions about perfect numbers III

Published on 03 May 2026 - 13:51

164

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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 15 Apr 2026 - 18:54

57

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

Published on 12 Apr 2026 - 11:44

33

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Factorisation of a not straight-forward expression

Published on 08 Apr 2026 - 8:55

94

Views

confusion on factoring a number into it's prime factors

Published on 13 Apr 2026 - 20:22

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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