Question

Amount of terminal zeroes in factorials in different bases

score 18 · Answer 1 · 2026-04-11 17:36:05

Amount of terminal zeroes in factorials in different bases

Published on 11 Apr 2026 - 17:36

score 149 · Answer 2 · 2020-10-28 13:42:14

How to find $n \in \mathbb{N}$ such that, for some $m \in \mathbb{N}$, $n!$ is the largest factorial less than or equal to $m$

score 48 · Answer 3 · 2020-10-29 11:16:31

48

Views

Use stirlings approximation to find $\binom{m+n}{n}$ when $m$ and $n$ are both large

Published on 29 Oct 2020 - 11:16

score 421 · Answer 4 · 2026-04-12 07:07:58

421

Views

Why is the factorial function always nonzero?

Published on 12 Apr 2026 - 7:07

score 73 · Answer 5 · 2026-04-10 19:14:47

73

Views

Simplify this summation

Published on 10 Apr 2026 - 19:14

score 365 · Answer 6 · 2020-11-02 06:53:36

365

Views

Derivatives or Integrals of Factorials

Published on 02 Nov 2020 - 6:53

score 98 · Answer 7 · 2026-04-04 05:15:37

98

Views

prove that $(n!)^{(n-1)!}$ divides (n!)!

Published on 04 Apr 2026 - 5:15

score 60 · Answer 8 · 2020-11-06 15:11:47

60

Views

A problem on number theory involving concepts of primes, divisibility and factorials

Published on 06 Nov 2020 - 15:11

score 310 · Answer 9 · 2020-11-07 15:34:22

310

Views

The Product of Consecutive Integers is Never a Power: Lemma 2 (Research Paper Study)

Published on 07 Nov 2020 - 15:34

score 52 · Answer 10 · 2020-11-08 01:22:30

52

Views

Factorial simplification help; how did wolfram get this?

Published on 08 Nov 2020 - 1:22

score 74 · Answer 11 · 2026-04-09 15:01:01

74

Views

Is it possible to sharpen and turn this heuristic argument into a proof of Stirling's formula?

Published on 09 Apr 2026 - 15:01

score 170 · Answer 12 · 2026-04-10 16:20:33

170

Views

Exponent of prime $p$ in $n!$

Published on 10 Apr 2026 - 16:20

score 215 · Answer 13 · 2026-04-06 09:07:35

215

Views

Proving Riordan's identity that $\sum_{k=1}^{n} {n-1 \choose k-1} \frac{k!}{n^k}=1$

Published on 06 Apr 2026 - 9:07

score 52 · Answer 14 · 2026-04-12 07:09:00

52

Views

Calculate $\sup \{r \in \mathbb{R} : \lim_{n \to \infty} \frac{r^n n!}{n^n} = 0\}$

Published on 12 Apr 2026 - 7:09

score 59 · Answer 15 · 2020-11-15 19:19:20

59

Views

Why can we say that $n! = 1 \cdot 2 \cdot... \cdot \frac{n}{2} \cdot ... \cdot n$?

Published on 15 Nov 2020 - 19:19

List Question

Amount of terminal zeroes in factorials in different bases

How to find $n \in \mathbb{N}$ such that, for some $m \in \mathbb{N}$, $n!$ is the largest factorial less than or equal to $m$

Use stirlings approximation to find $\binom{m+n}{n}$ when $m$ and $n$ are both large

Why is the factorial function always nonzero?

Simplify this summation

Derivatives or Integrals of Factorials

prove that $(n!)^{(n-1)!}$ divides (n!)!

A problem on number theory involving concepts of primes, divisibility and factorials

The Product of Consecutive Integers is Never a Power: Lemma 2 (Research Paper Study)

Factorial simplification help; how did wolfram get this?

Is it possible to sharpen and turn this heuristic argument into a proof of Stirling's formula?

Exponent of prime $p$ in $n!$

Proving Riordan's identity that $\sum_{k=1}^{n} {n-1 \choose k-1} \frac{k!}{n^k}=1$

Calculate $\sup \{r \in \mathbb{R} : \lim_{n \to \infty} \frac{r^n n!}{n^n} = 0\}$

Why can we say that $n! = 1 \cdot 2 \cdot... \cdot \frac{n}{2} \cdot ... \cdot n$?

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