List questions from natural-numbers

Published on 18 May 2020 - 19:41

122

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Prove that, for every natural number, their factorization as primes is unique

Published on 19 May 2020 - 11:43

124

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Given just a $4$-distinct-digit number. What are the odds that randomly chosen number has digit $1$ and digit $2$?

Published on 19 May 2020 - 12:13

2.2k

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How to write numbers in the language of first-order set theory.

Published on 24 May 2020 - 5:48

101

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Proof by induction that $2^{n+4}<3^n$ for large n

Published on 28 May 2020 - 14:20

126

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Find $n$ and $m$, if $n,m$ are natural numbers, such that $m^6 + 279 = 2^n$.

Published on 30 May 2020 - 6:07

186

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Proving that some integer multiple of a real number is within $\frac{1}{k}$ of an integer.

Published on 30 May 2020 - 7:39

34

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Examples of basis

Published on 30 May 2020 - 12:57

103

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we want to prove that $(n,n+1) \cap \mathbb{N}$ is empty

Published on 31 May 2020 - 19:48

84

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well founded induction / difference to strong induction

Published on 01 Jun 2020 - 20:11

35

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Basic problems with model theoretic relations

Published on 27 Mar 2026 - 6:06

64

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It is true that $1 \leq k \leq n$ then $k^2+n+1 \leq 2k(n+1)$?

Published on 10 Jun 2020 - 8:19

65

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What is pebble-method of counting?

Published on 26 Mar 2026 - 10:58

135

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Modulus operation to find unknown

Published on 13 Jun 2020 - 19:16

489

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Find the flaw in this proof that $1$ is the greatest natural number

Published on 27 Mar 2026 - 2:37

List Question

Can natural number be an ordered pair?

Prove that, for every natural number, their factorization as primes is unique

Given just a $4$-distinct-digit number. What are the odds that randomly chosen number has digit $1$ and digit $2$?

How to write numbers in the language of first-order set theory.

Proof by induction that $2^{n+4}<3^n$ for large n

Find $n$ and $m$, if $n,m$ are natural numbers, such that $m^6 + 279 = 2^n$.

Proving that some integer multiple of a real number is within $\frac{1}{k}$ of an integer.

Examples of basis

we want to prove that $(n,n+1) \cap \mathbb{N}$ is empty

well founded induction / difference to strong induction

Basic problems with model theoretic relations

It is true that $1 \leq k \leq n$ then $k^2+n+1 \leq 2k(n+1)$?

What is pebble-method of counting?

Modulus operation to find unknown

Find the flaw in this proof that $1$ is the greatest natural number

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