List questions from natural-numbers

Published on 11 Oct 2018 - 20:52

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

Published on 13 Oct 2018 - 13:56

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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 14 Oct 2018 - 1:02

84

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

Published on 17 Oct 2018 - 2:53

200

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

Published on 19 Oct 2018 - 7:09

190

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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 19 Oct 2018 - 13:02

34

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

Published on 20 Oct 2018 - 8:56

688

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

Published on 26 Oct 2018 - 20:13

332

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Set Theory In Construction of Naturals

Published on 28 Oct 2018 - 14:16

135

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Parasitic number, where does their name come from?

Published on 28 Oct 2018 - 15:09

95

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Countability of a nonincreasing set

Published on 29 Oct 2018 - 22:27

54

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

Published on 01 Nov 2018 - 12:28

2.8k

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Notion of "closeness of two numbers", made precise

Published on 02 Nov 2018 - 5:11

205

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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 03 Nov 2018 - 5:14

80

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Question about an inequality.

Published on 16 Nov 2018 - 9:26

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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