Question

Polynomials with nondegenerate critical points and their derivatives

score 73 · Answer 1 · 2020-06-24 10:48:04

73

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Polynomials with nondegenerate critical points and their derivatives

Published on 24 Jun 2020 - 10:48

score 131 · Answer 2 · 2020-06-24 17:47:58

131

Views

coprime terms in the factorization of $x^p + y^p$

Published on 24 Jun 2020 - 17:47

score 65 · Answer 3 · 2020-06-30 04:24:56

65

Views

On the number of invariant Sylow subgroups under coprime action -Antonio Beltrán, Changguo Shao

Published on 30 Jun 2020 - 4:24

score 65 · Answer 4 · 2020-07-02 19:52:43

65

Views

Given that for two naturals $p$ and $q$ are coprime, How to show that two naturals $u$ $v$ exist such as $pu-vq =1$

Published on 02 Jul 2020 - 19:52

score 60 · Answer 5 · 2020-07-05 12:25:29

60

Views

Given that $a,b \in \mathbb{Z}$ and are nonzero. Why is it that $\frac{a}{\gcd(a,b)}$ and $\frac{b}{\gcd(a,b)}$ are coprime?

Published on 05 Jul 2020 - 12:25

score 77 · Answer 6 · 2020-07-13 23:08:58

77

Views

If $ a-b \mid ax-by$, then $\gcd(x,y) \ne1$?

Published on 13 Jul 2020 - 23:08

score 82 · Answer 7 · 2020-07-16 14:18:58

82

Views

Is there a formula for $f(x)$ where $f(x)=$ the sum all simplest fractions with the numerator$+$denominator equals $x$

Published on 16 Jul 2020 - 14:18

score 223 · Answer 8 · 2020-07-22 10:50:25

223

Views

How to prove that there is an infinite number of primitive pythagorean triples such as $b=a+1$ and $2 | a$?

Published on 22 Jul 2020 - 10:50

score 65 · Answer 9 · 2020-07-23 16:13:02

65

Views

is there a function $\gamma(x)$ where when $a$ & $b$ and $a+1$ & $b+1$ are co-prime, $\gamma(\frac{a}{b})>\gamma(\frac{a+1}{b+1})$

Published on 23 Jul 2020 - 16:13

score 122 · Answer 10 · 2020-07-24 23:58:42

122

Views

Prime number checker formula

Published on 24 Jul 2020 - 23:58

score 1.8k · Answer 11 · 2016-07-18 04:20:50

1.8k

Views

Show that for $x,y,z\in\mathbb{Z}$, if $x$ and $y$ are coprime, then $\exists n\in\mathbb{Z}$ such that $z$ and $y+xn$ are coprime.

Published on 18 Jul 2016 - 4:20

score 71 · Answer 12 · 2023-02-07 07:03:56

71

Views

Calculating the nth totative of a large primorial

Published on 07 Feb 2023 - 7:03

score 536 · Answer 13 · 2023-02-23 04:15:31

536

Views

Number of maximal antichains in the set $\{1,2,3,4,5,6,...,120\}$ where the order is by divisibility relation.

Published on 23 Feb 2023 - 4:15

score 78 · Answer 14 · 2023-03-01 02:23:33

78

Views

$7x+5y=12$, so why does its solution will be of the format $(1+5n,1-7n)$

Published on 01 Mar 2023 - 2:23

score 32 · Answer 15 · 2023-03-03 16:20:31

32

Views

What is the Probability that Exactly One Pair among Three Integers is Coprime

Published on 03 Mar 2023 - 16:20

List Question

Polynomials with nondegenerate critical points and their derivatives

coprime terms in the factorization of $x^p + y^p$

On the number of invariant Sylow subgroups under coprime action -Antonio Beltrán, Changguo Shao

Given that for two naturals $p$ and $q$ are coprime, How to show that two naturals $u$ $v$ exist such as $pu-vq =1$

Given that $a,b \in \mathbb{Z}$ and are nonzero. Why is it that $\frac{a}{\gcd(a,b)}$ and $\frac{b}{\gcd(a,b)}$ are coprime?

If $ a-b \mid ax-by$, then $\gcd(x,y) \ne1$?

Is there a formula for $f(x)$ where $f(x)=$ the sum all simplest fractions with the numerator$+$denominator equals $x$

How to prove that there is an infinite number of primitive pythagorean triples such as $b=a+1$ and $2 | a$?

is there a function $\gamma(x)$ where when $a$ & $b$ and $a+1$ & $b+1$ are co-prime, $\gamma(\frac{a}{b})>\gamma(\frac{a+1}{b+1})$

Prime number checker formula

Show that for $x,y,z\in\mathbb{Z}$, if $x$ and $y$ are coprime, then $\exists n\in\mathbb{Z}$ such that $z$ and $y+xn$ are coprime.

Calculating the nth totative of a large primorial

Number of maximal antichains in the set $\{1,2,3,4,5,6,...,120\}$ where the order is by divisibility relation.

$7x+5y=12$, so why does its solution will be of the format $(1+5n,1-7n)$

What is the Probability that Exactly One Pair among Three Integers is Coprime

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