Question

Is the sum of two coprime natural numbers prime?

score 2.4k · Answer 1 · 2026-04-07 21:21:05

2.4k

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Is the sum of two coprime natural numbers prime?

Published on 07 Apr 2026 - 21:21

score 919 · Answer 2 · 2026-04-09 00:10:06

919

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Probability of k random integers being coprimes

Published on 09 Apr 2026 - 0:10

score 41 · Answer 3 · 2026-03-17 18:50:23

41

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Prove that $(m,n) = (s,n) = 1$ if and only if $(ms,n)=1$

Published on 17 Mar 2026 - 18:50

score 56 · Answer 4 · 2026-03-17 15:51:53

56

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Condition for preserving the order of an element in quotient group

Published on 17 Mar 2026 - 15:51

score 1k · Answer 5 · 2026-03-17 21:42:49

1k

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Extended Euclidean Algorithm to find 2 POSITIVE Coefficients?

Published on 17 Mar 2026 - 21:42

score 231 · Answer 6 · 2026-03-17 04:26:09

231

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Numbers that add to generate any other number

Published on 17 Mar 2026 - 4:26

score 181 · Answer 7 · 2026-02-22 23:10:47

181

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Disprove: If $\gcd(n,2^n-1)=1$, then $2^n-1$ is squarefree.

Published on 22 Feb 2026 - 23:10

score 803 · Answer 8 · 2026-02-22 23:10:47

803

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If $2$ numbers are co-prime, does it imply that their difference is also prime to those numbers?

Published on 22 Feb 2026 - 23:10

score 476 · Answer 9 · 2026-03-17 17:33:17

476

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Greatest number that divides $x$ and is coprime with $y$

Published on 17 Mar 2026 - 17:33

score 63 · Answer 10 · 2026-02-22 23:12:15

63

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The expected value of $C$ is equal to $\frac{a}{b}$ for coprime positive integers $a$ and $b.$ What is $a+b?$

Published on 22 Feb 2026 - 23:12

score 554 · Answer 11 · 2026-02-22 23:12:33

554

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Consider the equation $a_n +b_n\sqrt{2} = (1+\sqrt{2})^n$ where $a_n, b_n \in \mathbb{Z} \ge 1$. Prove that $\gcd(a_n, b_n) = 1$.

Published on 22 Feb 2026 - 23:12

score 623 · Answer 12 · 2026-03-31 15:52:15

623

Views

Power of coprime numbers

Published on 31 Mar 2026 - 15:52

score 78 · Answer 13 · 2026-02-22 23:11:39

78

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Can i find largest sequence of multiples of given n positive greater than 1 integers?

Published on 22 Feb 2026 - 23:11

score 107 · Answer 14 · 2026-02-22 23:10:58

107

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Probability that $n$ integers sampled from $\{0,1,\dotsc,p-1\}$ are coprime is at least $1-p/2^n$.

Published on 22 Feb 2026 - 23:10

score 262 · Answer 15 · 2026-02-22 23:12:32

262

Views

Partitioning a number into set of coprimes such that their product is maximum and sum of partition is the number itself

Published on 22 Feb 2026 - 23:12

List Question

Is the sum of two coprime natural numbers prime?

Probability of k random integers being coprimes

Prove that $(m,n) = (s,n) = 1$ if and only if $(ms,n)=1$

Condition for preserving the order of an element in quotient group

Extended Euclidean Algorithm to find 2 POSITIVE Coefficients?

Numbers that add to generate any other number

Disprove: If $\gcd(n,2^n-1)=1$, then $2^n-1$ is squarefree.

If $2$ numbers are co-prime, does it imply that their difference is also prime to those numbers?

Greatest number that divides $x$ and is coprime with $y$

The expected value of $C$ is equal to $\frac{a}{b}$ for coprime positive integers $a$ and $b.$ What is $a+b?$

Consider the equation $a_n +b_n\sqrt{2} = (1+\sqrt{2})^n$ where $a_n, b_n \in \mathbb{Z} \ge 1$. Prove that $\gcd(a_n, b_n) = 1$.

Power of coprime numbers

Can i find largest sequence of multiples of given n positive greater than 1 integers?

Probability that $n$ integers sampled from $\{0,1,\dotsc,p-1\}$ are coprime is at least $1-p/2^n$.

Partitioning a number into set of coprimes such that their product is maximum and sum of partition is the number itself

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