How do I combine the congruences $p=\pm 1\mod 8$ and $p=\pm 1\mod 5$
42032
Find all solutions to $x^2\equiv 1\pmod {91},\ 91 = 7\cdot 13$
107990
Does there exist an integer $x$ satisfying the following congruences?
40156
Determine all primes $p$ for which $5$ is a quadratic residue modulo $p$
131941
Solve quadratic congruences.
22029
Solving modular arithmetic questions
40642
Using same modulus for RSA
101057
Show that $1^{p-1} + 2^{p-1} +\ldots + (p-1)^{p-1} \equiv -1 \mod p$
8481
System of congruence relations
108035
solving diophantine equations using congruences
18245
How to check if a system of congruence is solvable?
157771
Nested exponent modulus, $2^{2^{517}} \pmod {23}$
57654
Congruent Modulo $n$: definition
96237
$1^2 + 2^2 + 3^2 + \cdots + (n-1)^2 \equiv 0$ mod n iff $n \equiv \pm 1$ mod 6
94017
If p is a prime and a ∈Z. How do we prove that the congruence x^x ≡ a (mod p) is solvable?
45882
Solving a congruence without Fermat's little theorem
150446
Quadratic Modular Arithmetic
111555
Find $a,b \in \mathbb{N}$ with $\mathrm{lcm}(a,b)=12\gcd(a,b)\,$ and $\,a\bmod b = 5$