List questions from prime-factorization

Published on 31 Mar 2026 - 17:50

365

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Finding the $18$th cyclotomic polynomial $\phi_{18}(X))$.

Published on 27 Mar 2026 - 2:34

101

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Calculating the difference of the factors of a semiprime

Published on 04 Apr 2016 - 16:41

939

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A very nice pattern involving prime factorization

Published on 06 Apr 2016 - 21:17

1.3k

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Sum of all numbers less than equal to X relatively prime to all number less than Y

Published on 09 Apr 2016 - 17:42

1.1k

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What's problematic about finding out if a large number is Prime or not?

Published on 10 Apr 2016 - 4:35

1k

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Algebraic number theory, Marcus, Chapter 3, Question 9

Published on 10 Apr 2016 - 19:42

695

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$2^{61}$ as a multiple of 3... is that possible?

Published on 11 Apr 2016 - 14:36

50

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Prime and Unique Factorization Proof

Published on 29 Mar 2026 - 15:51

52

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Properties involving prime factorization and divisibility

Published on 29 Mar 2026 - 15:53

83

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Exponent of x in the prime factorization of y?

Published on 13 Apr 2016 - 4:44

277

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How many numbers $m$ satisfy $1 ≤ m ≤ n$ and $\gcd (m, n) = 1$?

Published on 13 Apr 2016 - 11:56

2.4k

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How to prove that the g.c.d is equal to the prime factorization raised to the minimum of two powers

Published on 13 Apr 2016 - 21:41

1.1k

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Proof that $\sum_{d|m} |\mu(d)|=2^n$, where $n$ is the number of distinct prime divisors of $m$?

Published on 27 Mar 2026 - 1:00

41

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Factorising into Gaussian primes $4+3i$

Published on 17 Apr 2016 - 9:44

List Question

Is $every$ prime factor of $\frac{n^{163}-1}{n-1}$ either $163$ or $1\;\text{mod}\;163$?

Finding the $18$th cyclotomic polynomial $\phi_{18}(X))$.

Calculating the difference of the factors of a semiprime

A very nice pattern involving prime factorization

Sum of all numbers less than equal to X relatively prime to all number less than Y

What's problematic about finding out if a large number is Prime or not?

Algebraic number theory, Marcus, Chapter 3, Question 9

$2^{61}$ as a multiple of 3... is that possible?

Prime and Unique Factorization Proof

Properties involving prime factorization and divisibility

Exponent of x in the prime factorization of y?

How many numbers $m$ satisfy $1 ≤ m ≤ n$ and $\gcd (m, n) = 1$?

How to prove that the g.c.d is equal to the prime factorization raised to the minimum of two powers

Proof that $\sum_{d|m} |\mu(d)|=2^n$, where $n$ is the number of distinct prime divisors of $m$?

Factorising into Gaussian primes $4+3i$

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