Prove p-adic valuation is completely additive for prime p
132714
Properties of p-adic valuations
30630
Proving ${n \choose p} \equiv \Bigl[\frac{n}{p}\Bigr] \ (\text{mod} \ p)$
67705
Square roots in the $p$-adics
83050
Show that $P[x]+\langle x\rangle $ is a prime ideal of $R[x]$.
66851
If $p,q$ are primes $(pq,a)=1$ and $p-1|q-1$ then prove $a^{q-1}\equiv 1\pmod{pq}$
70463
Let $p$ be prime and $a$ be a natural not divisible by $p$. Then, $\exists$ integers $x,y$ such that $ax\equiv y \pmod{p}$ with $0<|x|,|y|<\sqrt{p}$
121479
Why is $X^4+1$ reducible over $\mathbb F_p$ with $p \geq 3,$ prime
141331
What is a $p$-adic group
61429
Is the algebraic closure of a $p$-adic field complete
23544
Complete induction proof that every $n > 1$ can be written as a product of primes
151985
If $p$ is a prime and $x,y \in \mathbb{Z}$, then $(x+y)^p \equiv x^p+y^p \pmod{p}$
127816
Number theory proof mod p
84746
elementary proof that infinite primes quadratic residue modulo $p$
25139
P-adic expansion construction
21862
Proof of lack of pure prime producing polynomials.
71788
Prove existence of multiplicative inverse modulo p when p is prime
106401
Prove: $p-mq | f(m)$ where $m$ is any integer