What is the logic/theorem/derivation behind finding the exponent of p in n! By [n/p] + [n/p^2] + [n/p^3] + ....?
5206
Highest power of a prime $p$ dividing $N!$
155635
Why is the math for negative exponents so?
85731
Prove by induction that $n! > n^2$
96518
Is the following scheme for generating $p_n=(1/3)^n$ stable or not. $p_n=(5/6)p_{n-1}-(1/6)p_{n-2}$.
21151
$\log(n)$ is what power of $n$?
8676
Is there any "superlogarithm" or something to solve $x^x$?
22073
Prove by induction that $n^2<n!$
51518
Is $\sqrt[3]{p+q\sqrt{3}}+\sqrt[3]{p-q\sqrt{3}}=n$, $(p,q,n)\in\mathbb{N} ^3$ solvable?
131905
Proof for exponentiation in modular arithmetic
37189
Exponent of a number is a square root?
33402
What is wrong with this funny proof that 2 = 4 using infinite exponentiation?
114280
Computing $\sum_{n=1}^∞\frac{1}{(n+1)(n+2)(n+3)....(n+p)}$
38727
Modular Exponentiation and Primes
49217
How do I show that $a^p + b^p > (a + b)^p$ for $a,b>0$ and $0<p<1$?
74081
Find coefficient of $x^{n}$ in $\frac{1}{(1-x)^3(1+x)^2}$
14480
Proving $(P(AB))^2+(P(AB^c))^2+(P(A^cB))^2+(P(A^cB^c))^2\ge\frac{1}{4}$ for any events $A$ and $B$
36361
How to calculate the summation $(\sum_{p = k}^{n} \binom{n}{p}) / 2^n$ quickly?