Does Euclid's Lemma apply to squared numbers?
834
If $p$ is a prime and $p \mid ab$, then $p \mid a$ or $p \mid b$.
1020
Proving that $\mathbb{Z}[\sqrt{2}]$ is a Euclidean domain
79677
Difference of squares - number of representations
63547
Euclid's Lemma and $\gcd(a,b)=1\Rightarrow \gcd(a^n,b^k)= 1$
117320
Why is this true: $\|x\|_1 \le \sqrt n \cdot \|x\|_2$?
89716
Is there a proof of the irrationality of $\sqrt{2}$ that involves modular arithmetic?
22800
Can $\sqrt{n} + \sqrt{m}$ be rational if neither $n,m$ are perfect squares?
9092
What is special about square numbers here?
55357
Why does drawing $\square$ mean the end of a proof?
8087
Algebraic integers of $\mathbb{Q}(\sqrt{m})$ for $m$ a squarefree integer
24301
Can a finite sum of square roots be an integer?
25623
Does $\sqrt{a+b} \le \sqrt a + \sqrt b$ hold for all positive real numbers a and b?
103550
Multiplicative Euclidean Function for an Euclidean Domain
109900
Why is $e^{\pi \sqrt{163}}$ almost an integer?
20548
General formula to obtain triangular-square numbers
144568
How closely can we estimate $\sum_{i=0}^n \sqrt{i}$
70620
From $n=2$ to $n$-ary Euclid lemma $\ p\mid a_1\cdots a_n\Rightarrow\ p\mid a_1\,$ or $\,\cdots\, p\mid a_n$