Is there any theorem related to this statement that $ac= qn +1$ is true for some $q \in \mathbb{Z}?$
35034
Multiplicative inverses for $Z_n$
40162
Prove that the set $\mathbb{Q}[\alpha] = \{a+b\alpha+c\alpha^2 \mid a, b, c \in\mathbb{Q}\}$ is closed under addition and multiplication.
95459
$\mathbb{Q}(\sqrt{2+\sqrt{2}})$ is Galois over $\mathbb{Q}$?
49768
If Gal(K,Q) is abelian then |Gal(K,Q)|=n
10348
Prove that if the $\gcd(a,b)=1$, then $\gcd(a+b,ab)=1$
21788
Proving that if $ad-bc = \pm 1$, then $\gcd(x,y) = \gcd(ax +by, cx + dy)$
95240
Show that $({\mathbb{Q}},+)$ is not finitely generated using the Fundamental Theorem of Finitely Generated Abelian Groups.
130297
$A$ be a subset of $[0,1]$ with non-empty interior ; then is it true that $\mathbb Q+A=\mathbb R$?
54430
For $a,b$ coprime, there exists positive integers $x,y$ such that $ax-by=1$
39492
Finding $z\in \mathbb C$ with $\sin z = 2$?
128820
Prove that if $\gcd(a,b)=1$ then $\gcd(ab,c) = \gcd(a,c) \gcd(b,c)$
83291
Prove that $p(x)=(x-a)q(x)$ for some $q(x)\in R[x]$ of degree= (degree of $p)-1$.
122932
When $(\mathbb{Q}(\zeta_n) : \mathbb{Q}) = 2$?
46730
How to show $\mathbb{Q}(\alpha^{4})=\mathbb{Q}(\alpha)$?
146439
Is every sufficiently large positive integer of the form $ab + ac + bc + 1$?
145752
Aut $\mathbb Z_p\simeq \mathbb Z_{p-1}$
158161
$\mathbb{Q}(\sqrt p_{1}+\sqrt p_{2})=\mathbb{Q}(\sqrt p_{1},\sqrt p_{2})$ for $p_{1},p_{2}$ primes.