Question

Show that $\gcd(a, 0)$ exists and equals $|a|$ for all $a$ in $\mathbb Z$

score 3.8k · Answer 1 · 2026-04-12 22:55:58

3.8k

Views

Show that $\gcd(a, 0)$ exists and equals $|a|$ for all $a$ in $\mathbb Z$

Published on 12 Apr 2026 - 22:55

score 103 · Answer 2 · 2026-04-15 14:55:46

103

Views

Solution for $46x + 10y=2$ for $\{ x,y\} \in \mathbb{Z}$

Published on 15 Apr 2026 - 14:55

score 117 · Answer 3 · 2026-04-10 16:27:19

117

Views

Is this "basic" principle of recursion for the natural numbers identical to addition?

Published on 10 Apr 2026 - 16:27

score 3.9k · Answer 4 · 2026-05-11 00:48:26

3.9k

Views

Numbers such that they equal the product of their own digits

Published on 11 May 2026 - 0:48

score 200 · Answer 5 · 2026-04-16 17:40:32

200

Views

What's $1^3+2^3+3^3+\cdots+99^3$ modulo $3$?

Published on 16 Apr 2026 - 17:40

score 350 · Answer 6 · 2026-04-12 11:44:45

350

Views

Adding and subtracting negative numbers

Published on 12 Apr 2026 - 11:44

score 137 · Answer 7 · 2026-04-17 06:54:11

137

Views

Integer solutions to $x^2(y-1)+y^2(x-1)=1$

Published on 17 Apr 2026 - 6:54

score 873 · Answer 8 · 2026-04-29 19:07:54

873

Views

What is wrong with my proof by contradiction that if $n^2$ is divisible by 3, then $n^2$ is divisible by 9?

Published on 29 Apr 2026 - 19:07

score 139 · Answer 9 · 2026-05-10 20:40:36

139

Views

Are there infinite many perfect powers consisting of at most two decimal digits?

Published on 10 May 2026 - 20:40

score 111 · Answer 10 · 2026-05-10 20:04:00

111

Views

Prove that $\eta - \omega \notin \mathbb{Q}$ where $\omega$ and $\eta$ are two differents n-th primitive roots $\in \mathbb{C}$

Published on 10 May 2026 - 20:04

score 632 · Answer 11 · 2026-04-11 01:43:41

632

Views

Modular Arithmetic: solving a quadratic equation with a variable in the modulus

Published on 11 Apr 2026 - 1:43

score 39 · Answer 12 · 2026-04-15 05:23:13

39

Views

Is it true that $a^{360m + 1} + b^{360n + 1} \equiv 0 (\mod 475) \Leftrightarrow a + b \equiv 0 (\mod 475)$?

Published on 15 Apr 2026 - 5:23

score 111 · Answer 13 · 2026-05-11 10:11:40

111

Views

exist $x$ such that $x^k \equiv m$ mod $(p_1\cdot p_2) \Leftrightarrow $ exists $x_1,x_2$ : $x_1^k\equiv m(p_1)$ and $x_2^k\equiv m(p_2)$

Published on 11 May 2026 - 10:11

score 62 · Answer 14 · 2026-05-10 14:49:00

62

Views

Density of integers represented by norm form (cyclotomic field)

Published on 10 May 2026 - 14:49

score 491 · Answer 15 · 2026-04-16 02:38:14

491

Views

Prove $\sum_{n = 1}^{p - 1} n^{p - 1} \equiv (p - 1)! + p \pmod {p^2}$ for $p$ being an odd prime

Published on 16 Apr 2026 - 2:38

List Question

Show that $\gcd(a, 0)$ exists and equals $|a|$ for all $a$ in $\mathbb Z$

Solution for $46x + 10y=2$ for $\{ x,y\} \in \mathbb{Z}$

Is this "basic" principle of recursion for the natural numbers identical to addition?

Numbers such that they equal the product of their own digits

What's $1^3+2^3+3^3+\cdots+99^3$ modulo $3$?

Adding and subtracting negative numbers

Integer solutions to $x^2(y-1)+y^2(x-1)=1$

What is wrong with my proof by contradiction that if $n^2$ is divisible by 3, then $n^2$ is divisible by 9?

Are there infinite many perfect powers consisting of at most two decimal digits?

Prove that $\eta - \omega \notin \mathbb{Q}$ where $\omega$ and $\eta$ are two differents n-th primitive roots $\in \mathbb{C}$

Modular Arithmetic: solving a quadratic equation with a variable in the modulus

Is it true that $a^{360m + 1} + b^{360n + 1} \equiv 0 (\mod 475) \Leftrightarrow a + b \equiv 0 (\mod 475)$?

exist $x$ such that $x^k \equiv m$ mod $(p_1\cdot p_2) \Leftrightarrow $ exists $x_1,x_2$ : $x_1^k\equiv m(p_1)$ and $x_2^k\equiv m(p_2)$

Density of integers represented by norm form (cyclotomic field)

Prove $\sum_{n = 1}^{p - 1} n^{p - 1} \equiv (p - 1)! + p \pmod {p^2}$ for $p$ being an odd prime

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