Is the modular multiplicative inverse $2^{-1}$ a special case in $\mathbb{Z}_p$ for prime $p > 2$?
43683
Finding Inverse of 2 (mod m)
38498
Find all primes $p$ such that $(2^{p-1}-1)/p$ is a perfect square
94017
If p is a prime and a ∈Z. How do we prove that the congruence x^x ≡ a (mod p) is solvable?
127764
Showing that $\mathbb{Q}[\sqrt{2}, \sqrt{3}]$ contains multiplicative inverses
118305
Let $p$ be an odd prime. $p$ and $(1-\zeta_p)^{p-1}$ are associates in $\mathbb{Z}[\zeta_p]$.
76644
For any odd prime $p$, a quadratic is solvable mod $p^2$ if it is solvable mod $p$, and $p$ does not divide the discriminant and leading coefficient.
99815
Dividing versus multiplying by inverse in modular arithmetic
380
Bijection from modular multiplication?
96398
An integer $a \pmod m$ has inverse if and only if $\gcd(a,m)=1$?
145752
Aut $\mathbb Z_p\simeq \mathbb Z_{p-1}$
4972
Mod of numbers with large exponents [modular order reduction]
83753
Why $\,p \cdot (p^{-1} \mod q) + q \cdot (q^{-1} \mod p) = pq + 1$?
158863
How to prove $\sum_p p^{-2} < \frac{1}{2}$?
60305
Proving the congruence $p^{q-1}+q^{p-1} \equiv 1 \pmod{pq}$
34430
Why does $(\frac{p-1}{2}!)^2 = (-1)^{\frac{p+1}{2}}$ mod $p$?
19968
Describe all $p^{n}$ (in terms of congruence conditions of $p$ and $n$) for which $x^{2}+1$ irreducible over $\mathbb{F}_{p^{n}}$.
134348
When is $(p - 1)! + 1$ a power of $p$?