If $x^3$ is a multiple of 2, then that $x$ is a multiple of 2.
40269
Proving if $x^3$ is even, then $x$ is even.
62485
How can I prove $\sqrt{2}^{\sqrt{2}^{\sqrt{2}^{\sqrt{2}^{\sqrt{2}...}}}}=2$
85525
Prove that $x^3+x+1$ splits in $Z_2[x]/(x^3+x+1)$
134765
Is an integer a sum of two rational squares iff it is a sum of two integer squares?
127183
Proof: For all integers $x$ and $y$, if $x^3+x = y^3+y$ then $x = y$
51804
How to show that a root of the equation $x (x+1)(x+2) ....... (x+2009) = c $ can have multiplicity at most 2?
22742
Prove that if $p$ and $p^2+2$ are prime then $p^3+2$ is prime too
33998
Show that given seven real numbers, it is always possible take two of them, such that $\left\vert\frac{a-b}{1+ab}\right\vert<\frac{1}{\sqrt{3}}$
63478
Is $\mathbb{Q}(\sqrt{2}) \cong \mathbb{Q}(\sqrt{3})$?
152436
Are $(x^3)^{1/3} $ and $\sqrt{x^2}$ monomials?
44307
Prove $\sqrt[3]{3} \notin \mathbb{Q}(\sqrt[3]{2})$
50534
Prove that if $n^2$ is divided by 3, then also $n$ can also be divided by 3.
60842
if $a^2+b^2=c^2$ then $gcd(a,b)=gcd(a,c)=gcd(b,c)$.
88036
Prove that if $p \equiv 3 \pmod{4}$ then $x^2+y^2 \not \equiv 0 \pmod{p}$
94516
If $3$ divides $a^2 + b^2$, then $3$ divides $a$ and $3$ divides $b$
4396
If $A^2\succ B^2$, then necessarily $A\succ B$
103496
Show that $3p^2=q^2$ implies $3|p$ and $3|q$