Question

Rate of change of a function defined on natural numbers

score 20 · Answer 1 · 2020-02-23 21:03:10

20

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Rate of change of a function defined on natural numbers

Published on 23 Feb 2020 - 21:03

score 41 · Answer 2 · 2026-03-27 04:18:46

41

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How can I find the number of bell tollings when the time elapsed has powers?

Published on 27 Mar 2026 - 4:18

score 253 · Answer 3 · 2020-02-26 10:48:37

253

Views

Suppose $p, q$ ∈ N are prime numbers so that $x^3 −px+q$ has only integer roots. Solve for p and q

Published on 26 Feb 2020 - 10:48

score 299 · Answer 4 · 2026-03-29 06:47:37

299

Views

Does $\operatorname{product-of-digits}(n)=n/3$ have at least one solution in any bases except for the power of $3$?

Published on 29 Mar 2026 - 6:47

score 36 · Answer 5 · 2020-02-29 15:15:21

36

Views

Proving a system does not have any integer solution

Published on 29 Feb 2020 - 15:15

score 82 · Answer 6 · 2020-02-29 17:08:06

82

Views

Sum of two integer is given. What will be the product?

Published on 29 Feb 2020 - 17:08

score 66 · Answer 7 · 2020-03-04 14:49:59

66

Views

A sum is in $\mathbb Z$ implies its last term is also an integer

Published on 04 Mar 2020 - 14:49

score 633 · Answer 8 · 2020-03-04 20:14:30

633

Views

IMO 2019: Find all functions $f: \mathbb Z \to \mathbb Z$ such that $f(2a) + 2\, f(b) = f \big( f (a+b)\big)$.

Published on 04 Mar 2020 - 20:14

score 279 · Answer 9 · 2020-03-05 21:15:11

279

Views

Determine if integer contains another integer

Published on 05 Mar 2020 - 21:15

score 79 · Answer 10 · 2020-03-06 18:45:43

79

Views

Integers that fit for $x$ and $y$: $x^3 + x^2 + x + 1 = y^3$

Published on 06 Mar 2020 - 18:45

score 137 · Answer 11 · 2020-03-07 22:40:44

137

Views

What would this evaluate to?

Published on 07 Mar 2020 - 22:40

score 142 · Answer 12 · 2020-03-08 22:19:10

142

Views

Let $x$ and $y$ be integers such that $xy = 0$. Then either $x = 0$ or $y = 0$

Published on 08 Mar 2020 - 22:19

score 56 · Answer 13 · 2020-03-09 01:39:35

56

Views

Let $a,b,c$ be integers, then exactly one of the statements $a > b$, $a < b$ or $a = b$ is true.

Published on 09 Mar 2020 - 1:39

score 47 · Answer 14 · 2020-03-10 05:43:18

47

Views

About rational root theorem in factoring

Published on 10 Mar 2020 - 5:43

score 49 · Answer 15 · 2020-03-10 14:20:53

49

Views

Given this axioms, prove: for $a, b \in \mathbb{Z}$ there is one and only one $c \in \mathbb{Z}$ such that $(a+b)c=a^2-b^2$

Published on 10 Mar 2020 - 14:20

List Question

Rate of change of a function defined on natural numbers

How can I find the number of bell tollings when the time elapsed has powers?

Suppose $p, q$ ∈ N are prime numbers so that $x^3 −px+q$ has only integer roots. Solve for p and q

Does $\operatorname{product-of-digits}(n)=n/3$ have at least one solution in any bases except for the power of $3$?

Proving a system does not have any integer solution

Sum of two integer is given. What will be the product?

A sum is in $\mathbb Z$ implies its last term is also an integer

IMO 2019: Find all functions $f: \mathbb Z \to \mathbb Z$ such that $f(2a) + 2\, f(b) = f \big( f (a+b)\big)$.

Determine if integer contains another integer

Integers that fit for $x$ and $y$: $x^3 + x^2 + x + 1 = y^3$

What would this evaluate to?

Let $x$ and $y$ be integers such that $xy = 0$. Then either $x = 0$ or $y = 0$

Let $a,b,c$ be integers, then exactly one of the statements $a > b$, $a < b$ or $a = b$ is true.

About rational root theorem in factoring

Given this axioms, prove: for $a, b \in \mathbb{Z}$ there is one and only one $c \in \mathbb{Z}$ such that $(a+b)c=a^2-b^2$

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