Question

Inverse factorial summation

score 434 · Answer 1 · 2019-12-19 11:19:32

434

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Inverse factorial summation

Published on 19 Dec 2019 - 11:19

score 346 · Answer 2 · 2019-12-19 15:31:20

346

Views

Does $\ln (1! \ln (2! \ln (3! \ln (4! \ln (5! \ln (6!\ldots)))))) $ have a finite value and if so what is it?

Published on 19 Dec 2019 - 15:31

score 98 · Answer 3 · 2019-12-19 18:01:25

98

Views

Where does Stirling series come from?

Published on 19 Dec 2019 - 18:01

score 228 · Answer 4 · 2019-12-20 12:56:44

228

Views

Does every solution of $x^2 = y^2 - z^2$ where $y$ and $z$ are primes $> 5000$ has a prime factor greater than $17$.

Published on 20 Dec 2019 - 12:56

score 753 · Answer 5 · 2019-12-22 00:41:25

753

Views

$16!$ without calculator

Published on 22 Dec 2019 - 0:41

score 97 · Answer 6 · 2026-03-25 07:45:47

97

Views

Evaluate $\lim_{n \to \infty} \frac{n \# \cdot n!}{p_{n}\#}$ and estimate the area under $f(x)=\frac{x \# \cdot x!}{p_{x}\#}$

Published on 25 Mar 2026 - 7:45

score 177 · Answer 7 · 2026-03-26 23:09:33

177

Views

How to evaluate $\sum_{n=0}^\infty {\frac {\sin \left( n! \right) }{n!}}$

Published on 26 Mar 2026 - 23:09

score 84 · Answer 8 · 2019-12-26 21:14:42

84

Views

Difficulties to understand why $a_n= \frac{n!}{n^n}$ does converge

Published on 26 Dec 2019 - 21:14

score 107 · Answer 9 · 2019-12-27 01:31:00

107

Views

Expression for the $\Gamma(\frac{m+n}{2}+1)$

Published on 27 Dec 2019 - 1:31

score 48 · Answer 10 · 2026-03-28 12:02:25

48

Views

What is n, in this product involving the floor function and lcm

Published on 28 Mar 2026 - 12:02

score 3.1k · Answer 11 · 2019-12-27 07:49:25

3.1k

Views

Define the triple factorial, $n!!!$, as a continuous function for $n \in \mathbb{C}$

Published on 27 Dec 2019 - 7:49

score 43 · Answer 12 · 2019-12-29 04:40:37

43

Views

Convergence of Sequence $\sum_{i=0}^\infty \frac{{(-1)}^n n! {x}^n}{10^n}$

Published on 29 Dec 2019 - 4:40

score 40 · Answer 13 · 2026-03-25 23:51:49

40

Views

Rewriting $B(n+1/2,l+1)$ using factorials of integers

Published on 25 Mar 2026 - 23:51

score 138 · Answer 14 · 2020-01-02 06:46:58

138

Views

Is this a legitimate way to prove $0!=1$?

Published on 02 Jan 2020 - 6:46

score 251 · Answer 15 · 2020-01-05 07:14:39

251

Views

Proof that the power of $2$ in $(3n)!$ is greater than or equals to the power of $2$ in $n!(n+1)!(n+2)!$

Published on 05 Jan 2020 - 7:14

List Question

Inverse factorial summation

Does $\ln (1! \ln (2! \ln (3! \ln (4! \ln (5! \ln (6!\ldots)))))) $ have a finite value and if so what is it?

Where does Stirling series come from?

Does every solution of $x^2 = y^2 - z^2$ where $y$ and $z$ are primes $> 5000$ has a prime factor greater than $17$.

$16!$ without calculator

Evaluate $\lim_{n \to \infty} \frac{n \# \cdot n!}{p_{n}\#}$ and estimate the area under $f(x)=\frac{x \# \cdot x!}{p_{x}\#}$

How to evaluate $\sum_{n=0}^\infty {\frac {\sin \left( n! \right) }{n!}}$

Difficulties to understand why $a_n= \frac{n!}{n^n}$ does converge

Expression for the $\Gamma(\frac{m+n}{2}+1)$

What is n, in this product involving the floor function and lcm

Define the triple factorial, $n!!!$, as a continuous function for $n \in \mathbb{C}$

Convergence of Sequence $\sum_{i=0}^\infty \frac{{(-1)}^n n! {x}^n}{10^n}$

Rewriting $B(n+1/2,l+1)$ using factorials of integers

Is this a legitimate way to prove $0!=1$?

Proof that the power of $2$ in $(3n)!$ is greater than or equals to the power of $2$ in $n!(n+1)!(n+2)!$

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