Question

Is the sum of two coprime natural numbers prime?

score 2.4k · Answer 1 · 2018-05-07 10:58:06

2.4k

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Is the sum of two coprime natural numbers prime?

Published on 07 May 2018 - 10:58

score 916 · Answer 2 · 2018-05-29 22:37:15

916

Views

Probability of k random integers being coprimes

Published on 29 May 2018 - 22:37

score 39 · Answer 3 · 2018-06-11 03:27:31

39

Views

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

Published on 11 Jun 2018 - 3:27

score 54 · Answer 4 · 2018-07-15 11:33:29

54

Views

Condition for preserving the order of an element in quotient group

Published on 15 Jul 2018 - 11:33

score 1k · Answer 5 · 2018-07-17 17:31:54

1k

Views

Extended Euclidean Algorithm to find 2 POSITIVE Coefficients?

Published on 17 Jul 2018 - 17:31

score 229 · Answer 6 · 2018-07-19 10:36:00

229

Views

Numbers that add to generate any other number

Published on 19 Jul 2018 - 10:36

score 180 · Answer 7 · 2018-07-28 22:27:41

180

Views

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

Published on 28 Jul 2018 - 22:27

score 802 · Answer 8 · 2018-08-06 18:15:08

802

Views

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

Published on 06 Aug 2018 - 18:15

score 474 · Answer 9 · 2018-08-09 18:37:42

474

Views

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

Published on 09 Aug 2018 - 18:37

score 62 · Answer 10 · 2018-08-18 20:36:46

62

Views

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

Published on 18 Aug 2018 - 20:36

score 553 · Answer 11 · 2018-09-18 18:26:51

553

Views

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 18 Sep 2018 - 18:26

score 620 · Answer 12 · 2018-09-20 22:00:00

620

Views

Power of coprime numbers

Published on 20 Sep 2018 - 22:00

score 77 · Answer 13 · 2018-09-22 22:10:59

77

Views

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

Published on 22 Sep 2018 - 22:10

score 106 · Answer 14 · 2018-10-06 12:18:22

106

Views

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

Published on 06 Oct 2018 - 12:18

score 261 · Answer 15 · 2018-10-08 15:02:00

261

Views

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

Published on 08 Oct 2018 - 15:02

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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