If $z_1, z_2, z_3$ are three distinct complex numbers satisfying
101491
If $\frac{a}{|z_2-z_3|}=\frac{b}{|z_3-z_1|}=\frac{c}{|z_1-z_2|}$, then why is $\frac{a^2}{z_2-z_3}+\frac{b^2}{z_3-z_1}+\frac{c^2}{z_1-z_2}=0$?
64052
Among any three consecutive positive integers one is a multiple of 3
142076
$c$ is a complex number that satisyfing $(c+\frac{1}{c}+1)(c+\frac{1}{c}) = 1$
143100
Identify the plane defined by $|z-2i| = 2|z+3|$
128306
Show that for all $n ∈ Z$, $2n^3 + 3n^2 + n$ is divisible by both 2 and 3.
147986
Prove: if $|z|=1$ than $\frac{z+1}{z-1}$ is an imaginary number
28218
Elementary proof for $\sqrt[3]{xyz} \leq \dfrac{x+y+z}{3}$
17519
Let $z \in\Bbb{C}^{\times}$ such that $|z^3+\frac{1}{z^3}|\leq 2$. Prove that $|z+\frac{1}{z}|\leq 2$.
30126
Linear Diophantine Equations in Three Variables
11564
$\mathbb{Q}(\sqrt{p},\sqrt[3]{q})=\mathbb{Q}(\sqrt{p}\sqrt[3]{q})$ for distinct prime $p,q$
124037
Complex prime numbers
148178
What points in the complex plane satisfy $|z|=arg(z)$.
91105
For every $n\ge3$ there exists $n$ different integers $a_1,...,a_n$ so that $\frac{1}{a_1}+\frac{1}{a_2}+...+\frac{1}{a_n}=1$
19016
Given 3 distinct primes {$p,q,r$}, then $|G|=pqr \implies G$ not simple
138894
Prove that if $3\mid(a^2+b^2)$,then $3\mid a$ and $ 3\mid b$
150528
Pythagorean triples $(a,b,c)$ and divisibility of $a$ or $b$ by $3$.
82636
Maybe is right $\frac{n^2 + 1}{4k + 3} \notin \mathbb{Z}, n, k \in \mathbb{N}^{+}$