Question

Proportionality of a system of polynomials

score 81 · Answer 1 · 2023-12-01 23:34:00

81

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Proportionality of a system of polynomials

Published on 01 Dec 2023 - 23:34

score 34 · Answer 2 · 2023-12-09 23:39:57

34

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What is $N=1,3,5,9,17,77,105,111,429,455\ldots$, where the second player (possibly) always wins in a game involving incrementing to coprime numbers?

Published on 09 Dec 2023 - 23:39

score 31 · Answer 3 · 2024-01-08 05:51:22

31

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My idea about the number of coprime pairs up to $N$.

Published on 08 Jan 2024 - 5:51

score 85 · Answer 4 · 2024-01-13 17:22:00

85

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What is the max value of $|S|$ where $S$ is a set with the following conditions?

Published on 13 Jan 2024 - 17:22

score 103 · Answer 5 · 2024-01-22 14:50:52

103

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Are coprimes to the set of primes less than the $i^{th}$ prime always between one multiple of $p_i$?

Published on 22 Jan 2024 - 14:50

score 80 · Answer 6 · 2024-01-29 15:10:35

80

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Prove that all numbers in the series are relatively prime to each other

Published on 29 Jan 2024 - 15:10

score 70 · Answer 7 · 2024-02-08 17:09:13

70

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Maximum consecutive multiples of coprimes

Published on 08 Feb 2024 - 17:09

score 53 · Answer 8 · 2024-02-23 20:45:08

53

Views

Coprime cycle problem

Published on 23 Feb 2024 - 20:45

score 344 · Answer 9 · 2015-08-11 14:12:19

344

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To show that H,K are sub-groups of G (U36)

Published on 11 Aug 2015 - 14:12

score 660 · Answer 10 · 2015-12-06 20:51:45

660

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(Useful) sufficient criteria to conclude that two numbers are coprime

Published on 06 Dec 2015 - 20:51

score 107 · Answer 11 · 2016-01-15 18:28:46

107

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Find integers $0 < v < u$ that are coprime, yet the Pythagorean triple $(u^2-v^2, 2uv, v^2 + u^2)$ is not primitive

Published on 15 Jan 2016 - 18:28

score 1.1k · Answer 12 · 2016-06-26 19:35:08

1.1k

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Number of pairs of coprime positive integers $(a, b)$ such that $\frac{a}{b} + \frac{14b}{a}$ is an integer?

Published on 26 Jun 2016 - 19:35

score 10.8k · Answer 13 · 2013-06-17 15:16:25

10.8k

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Generating all coprime pairs within limits

Published on 17 Jun 2013 - 15:16

score 32.9k · Answer 14 · 2013-07-16 22:02:50

32.9k

Views

fastest method to determine if two numbers are coprime

Published on 16 Jul 2013 - 22:02

score 75 · Answer 15 · 2013-12-08 21:08:33

Let $a,b\in G$ for a group $G$ with $|a| = m$ and $|b| = n$. Prove that if $(m, n)=1$, then $\langle a\rangle\cap\langle b\rangle = \{e\}$.

List Question

Proportionality of a system of polynomials

What is $N=1,3,5,9,17,77,105,111,429,455\ldots$, where the second player (possibly) always wins in a game involving incrementing to coprime numbers?

My idea about the number of coprime pairs up to $N$.

What is the max value of $|S|$ where $S$ is a set with the following conditions?

Are coprimes to the set of primes less than the $i^{th}$ prime always between one multiple of $p_i$?

Prove that all numbers in the series are relatively prime to each other

Maximum consecutive multiples of coprimes

Coprime cycle problem

To show that H,K are sub-groups of G (U36)

(Useful) sufficient criteria to conclude that two numbers are coprime

Find integers $0 < v < u$ that are coprime, yet the Pythagorean triple $(u^2-v^2, 2uv, v^2 + u^2)$ is not primitive

Number of pairs of coprime positive integers $(a, b)$ such that $\frac{a}{b} + \frac{14b}{a}$ is an integer?

Generating all coprime pairs within limits

fastest method to determine if two numbers are coprime

Let $a,b\in G$ for a group $G$ with $|a| = m$ and $|b| = n$. Prove that if $(m, n)=1$, then $\langle a\rangle\cap\langle b\rangle = \{e\}$.

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