Properties of numbers which are $x^2 + 1$
27287
$-1$ is a quadratic residue modulo $p$ if and only if $p\equiv 1\pmod{4}$
37158
upper limit of $\cos (x^2)-\cos (x+1)^2$ is $2$
3390
finding the real values of $x$ such that : $x=\sqrt{2+\sqrt{2-\sqrt{2+x}}}$
130722
Can you prove this property?
33792
Numbers to the Power of Zero
140198
Let $a$ be a quadratic residue modulo $p$. Prove that the number $b\equiv a^\frac{p+1}{4} \mod p$ has the property that $b^2\equiv a \mod p$.
9217
Find $n$ such that $x^2 + x + 1$ is a factor of $(x+1)^n - x^n - 1$.
63661
integers $n$ such that $(n-1)!+1$ is a power of $n$
147986
Prove: if $|z|=1$ than $\frac{z+1}{z-1}$ is an imaginary number
136933
Which $n$ can be expressed as $x^2 − y^2$?
13572
$x^y+y^x>1$ for all $(x, y)\in \mathbb{R_+^2}$
132470
Does $\mathbb R^2$ contain more numbers than $\mathbb R^1$?
30478
How to prove that a number is irrational
113386
Find all integer roots of: $x^2(y-1)+y^2(x-1)=1$
59475
Show that $\sqrt{n+1}-\sqrt{n}\to0$
158524
Complex numbers $z$ such that $|z|= 1$
39621
Let a, b, c, d be rational numbers...