List questions from prime-factorization

Published on 29 Apr 2026 - 12:44

227

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Is there always a prime having only one prime above it?

Published on 14 Apr 2026 - 4:47

55

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Fast way to calculate $\lceil\sqrt{nk}\rceil$ given $\lceil\sqrt{n(k-1)}\rceil$

Published on 29 Apr 2026 - 12:26

188

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Relationship between the number of digits of a natural number and that of its factors

Published on 29 Apr 2026 - 12:44

116

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If 13 does not divide m, then prove that $m^4+8$ is not a cube of an integer

Published on 15 Apr 2026 - 6:08

84

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Can at most $3$ distinct primes divide $n^3-n$, for infinitely many $n$?

Published on 29 Apr 2026 - 12:44

219

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Counting by prime factors and "base prime" notation

Published on 29 Apr 2026 - 12:44

62

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Set of $K$-primes over $p$ bijective with double quotient

Published on 16 Apr 2026 - 6:36

280

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What about the equation $\sigma(2n)=2\left(n+\sigma(n)\right),$ involving the sum of divisor function?

Published on 07 May 2026 - 7:35

492

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Using factorization to solve modulo arithmetic involving big numbers.

Published on 29 Apr 2026 - 12:05

294

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Repeated prime factors

Published on 29 Apr 2026 - 12:44

146

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The Chinese hypothesis revisited

Published on 29 Apr 2026 - 12:44

65

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What are the primes of $\mathbb{Z}[\sqrt{-p}\colon \text{$p$ prime}]$?

Published on 29 Apr 2026 - 12:44

74

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Find all $x \in \mathbb Z_{360}$ such that $x^2 ≡ 0 \pmod{360}$

Published on 29 Apr 2026 - 12:44

86

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Arithmetics: Number of divisors of an positive integer, their sum and product

Published on 10 May 2026 - 9:56

List Question

Prime factors of $5 n^4 - 70 n^3 + 380 n^2 - 945 n + 911 $

Is there always a prime having only one prime above it?

Fast way to calculate $\lceil\sqrt{nk}\rceil$ given $\lceil\sqrt{n(k-1)}\rceil$

Relationship between the number of digits of a natural number and that of its factors

If 13 does not divide m, then prove that $m^4+8$ is not a cube of an integer

Can at most $3$ distinct primes divide $n^3-n$, for infinitely many $n$?

Counting by prime factors and "base prime" notation

Set of $K$-primes over $p$ bijective with double quotient

What about the equation $\sigma(2n)=2\left(n+\sigma(n)\right),$ involving the sum of divisor function?

Using factorization to solve modulo arithmetic involving big numbers.

Repeated prime factors

The Chinese hypothesis revisited

What are the primes of $\mathbb{Z}[\sqrt{-p}\colon \text{$p$ prime}]$?

Find all $x \in \mathbb Z_{360}$ such that $x^2 ≡ 0 \pmod{360}$

Arithmetics: Number of divisors of an positive integer, their sum and product

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