$\Bbb F_p$ where $p$ is an odd prime has exactly half the non-zero elements as a square
129050
Find the number of non-zero squares in the field $Zp$
106716
The sum of square roots of non-perfect squares is never integer
35821
Infinitely many primes for quadratic residues
84746
elementary proof that infinite primes quadratic residue modulo $p$
51697
Additive group contains exactly three elements of the set $\{p,p+q,pq,p^q,q^p\}$
30511
Monic $f(x)\in\Bbb Z[x]$ has no rational root if $f(0)\ \&\ f(1)$ odd [Parity Root Test, Modular Root Test]
42932
Prove that $p^j q^i$ cannot be a perfect number for $p, q$ odd, distinct primes.
80188
There are infinitely many irreducible polynomials in $\Bbb{F}_p[X]$
4105
Irreducible but not prime in $\mathbb{Z}[\sqrt{-5}] $
120774
Show that $f$ has exactly one zero on the square $Q =$ {$x + iy ∈ \Bbb C : |x| < 1, |y| < 1$}.
152231
Computing the product of p/(p - 2) over the odd primes
83721
If a prime $p\mid ab$, then $p\mid a$ or $p\mid b\ $ [Euclid's Lemma]
50781
$(n+1)$th prime $p_{n+1}$ less than or equal to $p_1p_2\dots p_n+1$
125702
There is a square $Q$ consisting of $(0,0), (2,0), (0,2), (2,2)$
92537
Prove that $f(x)\in \mathbb{Z}[x]$ such that $f(0)$ and $f(1)$ are odd has no integer roots
48787
A number is a perfect square if and only if it has odd number of positive divisors
150064
Cardinality of "$x-y\in\Bbb Q$"-equivalence class of $1/\sqrt2$