Quadratic congruences equivalent statements
111967
Let $p$ be a prime number. Prove that there exists $x∈Z$ for which $p|x^2−x+ 3$ if and only if there exists $y∈Z$ for which $p|y^2−y+ 25$.
73238
Show that $a^{q-1} \equiv 1 \pmod{pq}$
45882
Solving a congruence without Fermat's little theorem
33735
The square of an integer is congruent to 0 or 1 mod 4
34323
Prove that $a^{(p-1)/2} \equiv 1$ (mod p) and $a^{(p-1)/2} \equiv -1 \pmod p$
94017
If p is a prime and a ∈Z. How do we prove that the congruence x^x ≡ a (mod p) is solvable?
87267
Conjecture similar to Fermat's Theorem.
148954
Understanding a statement about equivalent norms ($||\cdot ||_2 \sim||\cdot||_1 $)
42810
Is $(\mathbb{Q},+)$ isomorphic to $(\mathbb{Q}^n,+)$?
115976
$\mathbf{Q}[\sqrt 5+\sqrt[3] 2]=\mathbf{Q}[\sqrt 5,\sqrt[3] 2]$?
135465
Group theory proof of existence of a solution to $x^2\equiv -1\pmod p$ iff $p\equiv 1 \pmod 4$
127901
If $x^2+y^2 \equiv 0\pmod{p}$, then $p \equiv 1 \pmod{4}$
122741
$x^2$ is congruent to $-1 \bmod p$
127457
What are some equivalent statements of (strong) Goldbach Conjecture?
108045
Show that are logically equivalent
25910
Product of Quadratic Residues
91935
If $x \equiv a \pmod {p_1}$ and $x\equiv a \pmod{p_2}$, then is it true that $x\equiv a \pmod{p_1p_2} ?$