List questions from prime-factorization

Published on 25 Nov 2021 - 20:43

41

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how to denote a number that could be divisible by A but not B, both A and B are large integers

Published on 27 Nov 2021 - 20:20

100

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Prove that if $k\mid q_1...q_n$ then we can find $k_i$ such that $k=k_1...k_n$ and for every $i$, $k_i\mid q_i$

Published on 29 Nov 2021 - 15:59

106

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Properties of $F(p)=p^2+1$, where $p$ is a prime number

Published on 30 Mar 2026 - 4:22

73

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Sum of Prime Factorizations and Primes

Published on 01 Apr 2026 - 21:37

76

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An example showing $\mathbb{Z}[\sqrt[3]{7}]$ is not a UFD

Published on 30 Mar 2026 - 20:52

225

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Finding the prime factors of $2^{14}+3^{14}$ by hand

Published on 08 Dec 2021 - 22:47

94

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Use Fermat-Kraitchik’s factorization to factor $85026567$

Published on 09 Dec 2021 - 18:38

311

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Unique factorisation theorem for $\mathbb{Z} \setminus \{0\}$

Published on 13 Dec 2021 - 22:39

190

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Values of the Liouville function

Published on 26 Mar 2026 - 20:13

220

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Are primes only defined for a specific set?

Published on 18 Dec 2021 - 18:17

131

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Shouldn't the definition of a prime number be changed to account for negative factors?

Published on 21 Dec 2021 - 1:23

95

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Factoring- Pre Algebra Homework question

Published on 23 Dec 2021 - 19:14

616

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$\lim_{n \to \infty}\frac{1}{n}\sum_{k = 1}^nf(k)$ where $f(n)$ is the largest prime factor exponent?

Published on 25 Dec 2021 - 5:18

627

Views

Definition of UFD and the fact that UFDs are integrally closed

Published on 30 Mar 2026 - 20:57

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Why does the exponents of the prime factors of a perfect square have to be even?

how to denote a number that could be divisible by A but not B, both A and B are large integers

Prove that if $k\mid q_1...q_n$ then we can find $k_i$ such that $k=k_1...k_n$ and for every $i$, $k_i\mid q_i$

Properties of $F(p)=p^2+1$, where $p$ is a prime number

Sum of Prime Factorizations and Primes

An example showing $\mathbb{Z}[\sqrt[3]{7}]$ is not a UFD

Finding the prime factors of $2^{14}+3^{14}$ by hand

Use Fermat-Kraitchik’s factorization to factor $85026567$

Unique factorisation theorem for $\mathbb{Z} \setminus \{0\}$

Values of the Liouville function

Are primes only defined for a specific set?

Shouldn't the definition of a prime number be changed to account for negative factors?

Factoring- Pre Algebra Homework question

$\lim_{n \to \infty}\frac{1}{n}\sum_{k = 1}^nf(k)$ where $f(n)$ is the largest prime factor exponent?

Definition of UFD and the fact that UFDs are integrally closed

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