Why does $p$ divide $\binom{p}{k}$ where $p$ is prime?
5841
Proving prime $p$ divides $\binom{p}{k}$ for $k\in\{1,\ldots,p-1\}$
113612
Why does $P(\theta_1\mid D, \theta_2) \propto P(D \mid \theta_1, \theta_2)P(\theta_1)$ hold?
111505
Proof $\binom{p-1}{k}\equiv (-1)^k \mod{p}$
124116
What does the notation $\binom{n}{i}$ mean?
31312
If a prime divides a product then it must divide a factor of the product [Euclid's Lemma]
152084
Binomial-Theorem proof
80502
$p(x)$ divided by $x-c$ has remainder $p(c)$? [Polynomial Remainder Theorem]
117761
When is $\binom{n}{k}$ divisible by $n$?
98871
How to prove that if a prime divides a Fermat Number then $p=k\cdot 2^{n+2}+1$?
50596
$p_1p_2...p_n +1$ is not square for $p_k = k$'th prime
834
If $p$ is a prime and $p \mid ab$, then $p \mid a$ or $p \mid b$.
105244
Use inclusion-exclusion to find explicit formula for $P(A_k)$. Where is independence used?
136844
Mathematical induction question: why can we "assume $P(k)$ holds"?
5206
Highest power of a prime $p$ dividing $N!$
27292
Why do primes other than 2 and 5 divide infinitely many repunits?
113994
Let $p$ be a prime of the form $3k+2$ that divides $a^2+ab+b^2$ for some integers $a,b$. Prove that $a,b$ are both divisible by $p$.
62996
A problem regarding the proof of ${p^nk\choose p^n}\equiv k\mod p$, where $p\nmid k$.