Question

Sequence of N numbers

score 499 · Answer 1 · 2026-03-26 19:23:07

499

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Sequence of N numbers

Published on 26 Mar 2026 - 19:23

score 412 · Answer 2 · 2026-02-23 03:01:19

412

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$\frac{7x+1}2, \frac{7x+2}3, \frac{7x+3}4, \ldots ,\frac{7x+2016}{2017}$ are reduced fractions for integers $x\in(0,301)$.

Published on 23 Feb 2026 - 3:01

score 118 · Answer 3 · 2026-02-23 02:58:31

118

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Let $n\in \mathbb{N}, n > 1$ Show that some numbers are coprimes.

Published on 23 Feb 2026 - 2:58

score 221 · Answer 4 · 2026-02-23 03:01:18

221

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Stapled sequences- set of consecutive positive integers such that no one of them is relatively prime with all of the others

Published on 23 Feb 2026 - 3:01

score 101 · Answer 5 · 2026-02-23 03:01:17

If $x^3, y^3$ commute for all $x, y\in G$, show that $H=\{h\in G|(|h|,3)=1\}$ is an abelian subgroup of $G$. What happens if $3\mapsto n\in\Bbb N$?

score 255 · Answer 6 · 2026-02-23 02:57:44

255

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Proving that the elements of a sequence will always be co-prime to each other.

Published on 23 Feb 2026 - 2:57

score 52 · Answer 7 · 2026-02-23 03:00:57

52

Views

Extension on my one of previous questions about each element in a sequence being coprime.

Published on 23 Feb 2026 - 3:00

score 71 · Answer 8 · 2026-02-23 03:01:20

71

Views

Show that there exist $a,b \in K [X_1,X_2,\cdots,X_n]$ and $d \in K[X_1,X_2,\cdots,X_{n-1}]$ such that $aF+bG = d.$

Published on 23 Feb 2026 - 3:01

score 303 · Answer 9 · 2026-02-23 02:58:28

303

Views

Number of integers coprime to a given integer $q$ in some range $[x, x+y]$

Published on 23 Feb 2026 - 2:58

score 124 · Answer 10 · 2026-02-23 02:59:28

124

Views

Proving that $5^n+6^n$ and $5^{n+1}+6^{n+1}$ are coprime for all $n \in \mathbb{N}^*$

Published on 23 Feb 2026 - 2:59

score 41 · Answer 11 · 2026-02-23 02:54:22

41

Views

A not very obvious question about $\{h+tk\}$ sequence.

Published on 23 Feb 2026 - 2:54

score 113 · Answer 12 · 2026-03-27 03:32:03

113

Views

Calculate the sum of fractionals

Published on 27 Mar 2026 - 3:32

score 274 · Answer 13 · 2026-02-23 02:56:04

274

Views

coprime divisibility: is $ax-1$ divisible by $n$?

Published on 23 Feb 2026 - 2:56

score 57 · Answer 14 · 2026-02-23 02:59:20

57

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What happens to $n^{\phi(p)} \equiv 1$ when $n$ and $p$ are not co-prime?

Published on 23 Feb 2026 - 2:59

score 38 · Answer 15 · 2026-03-27 12:48:18

38

Views

Complexity of finding a common coprime element

Published on 27 Mar 2026 - 12:48

List Question

Sequence of N numbers

$\frac{7x+1}2, \frac{7x+2}3, \frac{7x+3}4, \ldots ,\frac{7x+2016}{2017}$ are reduced fractions for integers $x\in(0,301)$.

Let $n\in \mathbb{N}, n > 1$ Show that some numbers are coprimes.

Stapled sequences- set of consecutive positive integers such that no one of them is relatively prime with all of the others

If $x^3, y^3$ commute for all $x, y\in G$, show that $H=\{h\in G|(|h|,3)=1\}$ is an abelian subgroup of $G$. What happens if $3\mapsto n\in\Bbb N$?

Proving that the elements of a sequence will always be co-prime to each other.

Extension on my one of previous questions about each element in a sequence being coprime.

Show that there exist $a,b \in K [X_1,X_2,\cdots,X_n]$ and $d \in K[X_1,X_2,\cdots,X_{n-1}]$ such that $aF+bG = d.$

Number of integers coprime to a given integer $q$ in some range $[x, x+y]$

Proving that $5^n+6^n$ and $5^{n+1}+6^{n+1}$ are coprime for all $n \in \mathbb{N}^*$

A not very obvious question about $\{h+tk\}$ sequence.

Calculate the sum of fractionals

coprime divisibility: is $ax-1$ divisible by $n$?

What happens to $n^{\phi(p)} \equiv 1$ when $n$ and $p$ are not co-prime?

Complexity of finding a common coprime element

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