Question

Any general hints on how to prove that two functions$\ f(n)$ and$\ g(m_1,m_2,...,m_{28})$ never have a common natural divisor?

score 80 · Answer 1 · 2026-03-29 21:14:48

80

Views

Any general hints on how to prove that two functions$\ f(n)$ and$\ g(m_1,m_2,...,m_{28})$ never have a common natural divisor?

Published on 29 Mar 2026 - 21:14

score 49 · Answer 2 · 2014-10-11 17:41:08

49

Views

Finding the set {$ a\ |\ \mathrm{gcd}(a, b) = 1$}

Published on 11 Oct 2014 - 17:41

score 46 · Answer 3 · 2014-10-11 21:50:45

46

Views

Greatest common divisor of a number and the same number multiple of some rational

Published on 11 Oct 2014 - 21:50

score 517 · Answer 4 · 2026-03-30 23:55:32

517

Views

Prove that $\gcd(abc + abd + acd + bcd, abcd) = 1$

Published on 30 Mar 2026 - 23:55

score 80 · Answer 5 · 2014-10-12 23:19:02

80

Views

Prove that $10 | (n^a - n^b)$.

Published on 12 Oct 2014 - 23:19

score 529 · Answer 6 · 2014-10-13 14:35:05

529

Views

Divisibility of polynomials in a subfield of a field.

Published on 13 Oct 2014 - 14:35

score 89 · Answer 7 · 2014-10-13 22:55:12

89

Views

Quick way to find the GCD of 7602 and 7710

Published on 13 Oct 2014 - 22:55

score 1.6k · Answer 8 · 2014-10-14 02:50:49

1.6k

Views

Proving that if $p$ is a prime number then $gcd (p, (p-1)!) =1$

Published on 14 Oct 2014 - 2:50

score 1.3k · Answer 9 · 2014-10-14 03:54:29

1.3k

Views

If $(a,b)=1$, prove that $(a^2+b^2,a+b)=1$ or $2$.

Published on 14 Oct 2014 - 3:54

score 111 · Answer 10 · 2014-10-14 04:39:23

111

Views

Is $\frac{4n^2+4n+1}{8}$ an integer for any $n\in \mathbb{N}$?

Published on 14 Oct 2014 - 4:39

score 82 · Answer 11 · 2014-10-14 21:11:53

82

Views

$a^n\mid b^n$ if and only if $a\mid b$.

Published on 14 Oct 2014 - 21:11

score 978 · Answer 12 · 2014-10-14 22:00:45

978

Views

$\gcd(p, (p-1)!) = 1$?

Published on 14 Oct 2014 - 22:00

score 534 · Answer 13 · 2014-10-14 22:02:43

534

Views

Show some polynomial is irreducible over the field of 7 elements.

Published on 14 Oct 2014 - 22:02

score 209 · Answer 14 · 2014-10-15 02:45:53

209

Views

If (a,b) = 1 and c|(a+b), show that (a,c) = (b,c) = 1

Published on 15 Oct 2014 - 2:45

score 518 · Answer 15 · 2014-10-15 21:56:26

518

Views

Show that $\gcd(3n,3n+ 2) = 1$ when $n$ is odd

Published on 15 Oct 2014 - 21:56

List Question

Any general hints on how to prove that two functions$\ f(n)$ and$\ g(m_1,m_2,...,m_{28})$ never have a common natural divisor?

Finding the set {$ a\ |\ \mathrm{gcd}(a, b) = 1$}

Greatest common divisor of a number and the same number multiple of some rational

Prove that $\gcd(abc + abd + acd + bcd, abcd) = 1$

Prove that $10 | (n^a - n^b)$.

Divisibility of polynomials in a subfield of a field.

Quick way to find the GCD of 7602 and 7710

Proving that if $p$ is a prime number then $gcd (p, (p-1)!) =1$

If $(a,b)=1$, prove that $(a^2+b^2,a+b)=1$ or $2$.

Is $\frac{4n^2+4n+1}{8}$ an integer for any $n\in \mathbb{N}$?

$a^n\mid b^n$ if and only if $a\mid b$.

$\gcd(p, (p-1)!) = 1$?

Show some polynomial is irreducible over the field of 7 elements.

If (a,b) = 1 and c|(a+b), show that (a,c) = (b,c) = 1

Show that $\gcd(3n,3n+ 2) = 1$ when $n$ is odd

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