Cubic residues for primes congruent to 2 mod 3
36941
If $p$ is congruent to $2 \pmod 3$, how can I prove that all $a$, $1 \le a \le p-1$ are cubic residues $\mod p$?
115834
Cubic polynomial with three (distinct) irrational roots
94017
If p is a prime and a ∈Z. How do we prove that the congruence x^x ≡ a (mod p) is solvable?
96326
Number of $q$-th residues modulo $n$
110809
What can primes, except 2, 3, and 5, be congruent to $\pmod {30}$?
84746
elementary proof that infinite primes quadratic residue modulo $p$
73607
Find the residue at $z=-2$ for $g(z) = \frac{\psi(-z)}{(z+1)(z+2)^3}$
96816
The residue at $\infty$
102234
Show $a^p \equiv a \mod 2p$
16700
Modular reduction of fractions
74214
Prove that there are $p+1$ points on the elliptic curve $y^2 = x^3 + 1$ over $\mathbb{F}_p$, where $p > 3$ is a prime such that $p \equiv 2 \pmod 3$.
128584
Sum of squared quadratic non-residues
68252
Chinese Remainder Theorem solvability for non-coprime moduli
36713
Solving multiple congruences by CRT = Chinese Remainder Theorem
9787
Primitive roots modulo primes congruent to n!
35821
Infinitely many primes for quadratic residues
157884
For any prime $p>3$ show that 3 divides $2p^2+1$