Question

Find natural numbers $n$ such that $\frac{3n^{3}-11n}{n + 3}$ is a natural number

score 133 · Answer 1 · 2021-05-03 15:35:07

133

Views

Find natural numbers $n$ such that $\frac{3n^{3}-11n}{n + 3}$ is a natural number

Published on 03 May 2021 - 15:35

score 43 · Answer 2 · 2021-05-04 21:47:50

43

Views

$\left|\frac{x^n}{n+1}\right|\leq |x^n|=|x|^n$

Published on 04 May 2021 - 21:47

score 23 · Answer 3 · 2021-05-06 07:31:36

23

Views

Equalities involving power of natural numbers

Published on 06 May 2021 - 7:31

score 43 · Answer 4 · 2021-05-06 16:30:03

43

Views

Proof check about a particular partition of natural numbers

Published on 06 May 2021 - 16:30

score 552 · Answer 5 · 2026-03-26 22:17:49

552

Views

Constructive proof that any two natural numbers are either equal or not equal

Published on 26 Mar 2026 - 22:17

score 317 · Answer 6 · 2021-05-12 14:48:28

317

Views

Find $xy+yz+xz$ given that $x+y+z=xyz$ for $x,y,z \in \mathbb{Z}^{+}$

Published on 12 May 2021 - 14:48

score 19 · Answer 7 · 2026-03-24 20:33:29

19

Views

Proof that for any $n\in\mathbb{N}$, $n\neq0$, $\exists k\in\mathbb{N}|n=S(k)$

Published on 24 Mar 2026 - 20:33

score 301 · Answer 8 · 2021-05-13 18:34:49

301

Views

Finding all functions $f: \mathbb{Z^{+}}\to \mathbb{Z^{+}}$ such that $f(a)| (f(b)+a-b)$ for all $a,b\in \mathbb{Z^{+}}$

Published on 13 May 2021 - 18:34

score 71 · Answer 9 · 2021-05-25 13:57:38

71

Views

Structure of $\Bbb N$ in $\Bbb R$ and substraction in $\Bbb N$.

Published on 25 May 2021 - 13:57

score 69 · Answer 10 · 2021-05-25 16:14:46

69

Views

Subtraction in $\Bbb N$ as an intersection of all inductive sets

Published on 25 May 2021 - 16:14

score 84 · Answer 11 · 2021-05-30 17:37:59

84

Views

In ZFC, do we use the set $\mathbb{N}$ in the definition of $\mathbb{N}$ recursively?

Published on 30 May 2021 - 17:37

score 1.3k · Answer 12 · 2021-06-03 11:26:36

1.3k

Views

To find the sum of first $n$ numbers using the sum of odd numbers and even numbers

Published on 03 Jun 2021 - 11:26

score 72 · Answer 13 · 2021-06-11 00:47:48

72

Views

Build non-decreasing $f$,$g$ from $\Bbb N$ to $\Bbb N$ such that $f$ is not $O(g)$ and $g$ is not $O(f)$

Published on 11 Jun 2021 - 0:47

score 132 · Answer 14 · 2021-06-12 15:00:18

132

Views

How to prove that 3 is divisor of two numbers and their sums?

Published on 12 Jun 2021 - 15:00

score 63 · Answer 15 · 2021-06-13 14:53:11

63

Views

Determine if starting digits of a number repeat later in the same number

Published on 13 Jun 2021 - 14:53

List Question

Find natural numbers $n$ such that $\frac{3n^{3}-11n}{n + 3}$ is a natural number

$\left|\frac{x^n}{n+1}\right|\leq |x^n|=|x|^n$

Equalities involving power of natural numbers

Proof check about a particular partition of natural numbers

Constructive proof that any two natural numbers are either equal or not equal

Find $xy+yz+xz$ given that $x+y+z=xyz$ for $x,y,z \in \mathbb{Z}^{+}$

Proof that for any $n\in\mathbb{N}$, $n\neq0$, $\exists k\in\mathbb{N}|n=S(k)$

Finding all functions $f: \mathbb{Z^{+}}\to \mathbb{Z^{+}}$ such that $f(a)| (f(b)+a-b)$ for all $a,b\in \mathbb{Z^{+}}$

Structure of $\Bbb N$ in $\Bbb R$ and substraction in $\Bbb N$.

Subtraction in $\Bbb N$ as an intersection of all inductive sets

In ZFC, do we use the set $\mathbb{N}$ in the definition of $\mathbb{N}$ recursively?

To find the sum of first $n$ numbers using the sum of odd numbers and even numbers

Build non-decreasing $f$,$g$ from $\Bbb N$ to $\Bbb N$ such that $f$ is not $O(g)$ and $g$ is not $O(f)$

How to prove that 3 is divisor of two numbers and their sums?

Determine if starting digits of a number repeat later in the same number

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