Question

Any pattern for when the ring $\mathbb{Z}_m$ has units? ($m$ is any integer)

score 110 · Answer 1 · 2020-03-12 16:14:59

110

Views

Any pattern for when the ring $\mathbb{Z}_m$ has units? ($m$ is any integer)

Published on 12 Mar 2020 - 16:14

score 102 · Answer 2 · 2020-03-14 14:04:50

102

Views

Multivariate, One-to-One, $\mathbb{Z}^2 \rightarrow \mathbb{R}$ Function

Published on 14 Mar 2020 - 14:04

score 76 · Answer 3 · 2026-03-27 02:02:45

76

Views

A specific partition of the interval $[1,n]$ of $\mathbb{N}$

Published on 27 Mar 2026 - 2:02

score 36 · Answer 4 · 2020-03-18 17:20:00

36

Views

There's a formula for the order of the elements in $\mathbb{Z}/(n)\times \mathbb{Z}/(m)$?

Published on 18 Mar 2020 - 17:20

score 807 · Answer 5 · 2020-03-23 10:06:11

807

Views

How to prove that the sum and product of algebraic integers is an algebraic integer?

Published on 23 Mar 2020 - 10:06

score 981 · Answer 6 · 2020-03-23 11:46:48

981

Views

Is it true that for all real numbers, there exists an integer smaller than it?

Published on 23 Mar 2020 - 11:46

score 12 · Answer 7 · 2020-03-24 17:34:20

Is a + or - if the sign of numbers $(-5)^{4n+2}a^{2n+5}b^{2n+1}c^{n+3}$ and $(-6)^{2n+3}a^nb^{2n-1}c^{n-5}$ is the same?

score 51 · Answer 8 · 2020-03-26 04:58:34

51

Views

Given 3 integers a, b, c that satisfies a + b - c = 1 and a^2 + b^2 - c^2 = -1. Find a^2 + b^2 + c^2

Published on 26 Mar 2020 - 4:58

score 40 · Answer 9 · 2020-03-26 18:44:15

40

Views

Prove if $(a+b)$ divides $(a^2+ab+b^2)$ then $(a+b)^2$ divides $(a^4+b^4)$?

Published on 26 Mar 2020 - 18:44

score 43 · Answer 10 · 2020-03-26 20:38:49

43

Views

How to prove that for $p=2n+1$ the expression $3^p+1$ is divisible by 4?

Published on 26 Mar 2020 - 20:38

score 94 · Answer 11 · 2020-03-27 08:53:09

94

Views

Number of solutions of $|x|+|y|+|z|=10$ where $x,y,z\in\mathbb{Z}$

Published on 27 Mar 2020 - 8:53

score 94 · Answer 12 · 2020-03-27 14:12:53

94

Views

For which $n\in\mathbb{N}$ is $(n+2)\mid(n^3+14)$ true?

Published on 27 Mar 2020 - 14:12

score 227 · Answer 13 · 2020-03-28 08:26:52

let $a,b,c\in \mathbb{N} $ and Quadratic equations $x^2-2ax+b=0,x^2-2bx+c=0,x^2-2cx+a=0$ has positive integer roots. find $a,b,c$

score 90 · Answer 14 · 2020-03-30 19:23:50

90

Views

why a³+b³+c³ is never 4 or 5 modulo 9 ? (all integers)

Published on 30 Mar 2020 - 19:23

score 69 · Answer 15 · 2020-03-31 00:04:38

69

Views

Why the sum of the digits of $9k+a$ (where $k,a\in \mathbb{N}$, and $0<a<8$) is equal to $9l+a$ (where $\mathbb{N}\ni l< k$)?

Published on 31 Mar 2020 - 0:04

List Question

Any pattern for when the ring $\mathbb{Z}_m$ has units? ($m$ is any integer)

Multivariate, One-to-One, $\mathbb{Z}^2 \rightarrow \mathbb{R}$ Function

A specific partition of the interval $[1,n]$ of $\mathbb{N}$

There's a formula for the order of the elements in $\mathbb{Z}/(n)\times \mathbb{Z}/(m)$?

How to prove that the sum and product of algebraic integers is an algebraic integer?

Is it true that for all real numbers, there exists an integer smaller than it?

Is a + or - if the sign of numbers $(-5)^{4n+2}a^{2n+5}b^{2n+1}c^{n+3}$ and $(-6)^{2n+3}a^nb^{2n-1}c^{n-5}$ is the same?

Given 3 integers a, b, c that satisfies a + b - c = 1 and a^2 + b^2 - c^2 = -1. Find a^2 + b^2 + c^2

Prove if $(a+b)$ divides $(a^2+ab+b^2)$ then $(a+b)^2$ divides $(a^4+b^4)$?

How to prove that for $p=2n+1$ the expression $3^p+1$ is divisible by 4?

Number of solutions of $|x|+|y|+|z|=10$ where $x,y,z\in\mathbb{Z}$

For which $n\in\mathbb{N}$ is $(n+2)\mid(n^3+14)$ true?

let $a,b,c\in \mathbb{N} $ and Quadratic equations $x^2-2ax+b=0,x^2-2bx+c=0,x^2-2cx+a=0$ has positive integer roots. find $a,b,c$

why a³+b³+c³ is never 4 or 5 modulo 9 ? (all integers)

Why the sum of the digits of $9k+a$ (where $k,a\in \mathbb{N}$, and $0<a<8$) is equal to $9l+a$ (where $\mathbb{N}\ni l< k$)?

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