List questions from natural-numbers

Published on 10 May 2026 - 19:58

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What would the 3D graph of GCD(x, y) and LCM(x, y) look like?

Published on 15 Apr 2026 - 5:54

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Prove that for each natural number n, any set with n elements has $\frac{n(n-1)}{2}$ two-element subsets

Published on 16 Apr 2026 - 3:39

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Find the natural numbers such that a number is a prime number.

Published on 15 Apr 2026 - 21:09

203

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$\sqrt{2016n}$. Solve for $n$

Published on 14 Apr 2026 - 21:43

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What is the least prime factor of $n^i \cdot m^j$, for prime numbers $n, m$ such that $n < m$?

Published on 16 Apr 2026 - 12:24

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Possible Mistake in Hrbacek's "Introduction to Set Theory"

Published on 10 Apr 2026 - 18:53

691

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Proof that for all natural numbers $a,b$ if $a>b$ then $a-b$ is natural number

Published on 16 Apr 2026 - 9:53

335

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Set Theory In Construction of Naturals

Published on 12 Apr 2026 - 18:14

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Parasitic number, where does their name come from?

Published on 12 Apr 2026 - 17:30

98

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Countability of a nonincreasing set

Published on 11 Apr 2026 - 15:06

57

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Efficient algorithm: $(y+1)^n$

Published on 15 Apr 2026 - 10:41

2.8k

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Notion of "closeness of two numbers", made precise

Published on 12 Apr 2026 - 2:25

208

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Prove $\left(1-\frac{1}{n^2}\right)^n\times\left(1+\frac 1n\right)<1$ for every natural $n > 0$ by induction

Published on 16 Apr 2026 - 0:31

84

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Question about an inequality.

Published on 30 Apr 2026 - 10:22

List Question

If $x,y \in \mathbb{N}$ then $x+y=0 \iff x=y=0$

What would the 3D graph of GCD(x, y) and LCM(x, y) look like?

Prove that for each natural number n, any set with n elements has $\frac{n(n-1)}{2}$ two-element subsets

Find the natural numbers such that a number is a prime number.

$\sqrt{2016n}$. Solve for $n$

What is the least prime factor of $n^i \cdot m^j$, for prime numbers $n, m$ such that $n < m$?

Possible Mistake in Hrbacek's "Introduction to Set Theory"

Proof that for all natural numbers $a,b$ if $a>b$ then $a-b$ is natural number

Set Theory In Construction of Naturals

Parasitic number, where does their name come from?

Countability of a nonincreasing set

Efficient algorithm: $(y+1)^n$

Notion of "closeness of two numbers", made precise

Prove $\left(1-\frac{1}{n^2}\right)^n\times\left(1+\frac 1n\right)<1$ for every natural $n > 0$ by induction

Question about an inequality.

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