Prove this statement: If $m$ and $n$ are relatively prime, then for any $x$ that is an integer, there are integers such that $x = ma + nb$
56803
Finding solutions to congruence equations
37947
Prove that if a number $n > 1$ is not prime, then it has a prime factor $\le \sqrt{n}$.
46383
If $x$ divides $z$, $y$ divides $z$ and $x$ and $y$ are relatively prime, then $xy$ divides $z$.
39391
IMO 2005 No 4. : All integers relatively prime to terms of infinite sequence
23879
If $m$ and $n$ are distinct positive integers, then $m\mathbb{Z}$ is not ring-isomorphic to $n\mathbb{Z}$
144836
How to prove that $\frac{(mn)!}{m!(n!)^m}$ is an integer?
4141
Prove: If $a\mid m$ and $b\mid m$ and $\gcd(a,b)=1$ then $ab\mid m$
37330
Prove that any two consecutive terms of the Fibonacci sequence are relatively prime
140294
prove that $n >2$ and $n$ is a prime then $n$ is odd
110383
How many numbers less than $m$ and relatively prime to $n$, where $m>n$?
102979
If $[G:H]$ and $[G:K]$ are relatively prime, then $G=HK$
90962
For positive integers $m,n$ if $\sqrt 7 - \frac{m}{n} > 0$ then prove that $\sqrt 7 - \frac{m}{n} > \frac{1}{{mn}}$
75516
Relatively Prime Numbers and Number of Divisors of n
154305
Let $\pi$ denote a prime element in $\mathbb Z[i], \pi \notin \mathbb Z, i \mathbb Z$. Prove that $N(\pi)=2$ or $N(\pi)=p$, $p \equiv 1 \pmod 4$
108450
Prove that $\gcd(a, b) = \gcd(a, b + ma)$?
108746
Prove that there exist two integers such that i - j is divisible by n.
2884
$m,n>1$ are relatively prime integers , then are there at-least four idempotent (w.r.t. multiplication) elements in $\mathbb Z_{mn}$ ?