List questions from factorial

Published on 06 Dec 2020 - 1:18

99

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Conjecture: any factorial is a sum of two Jordan-Polya numbers.

Published on 02 Apr 2026 - 22:27

210

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Solving limits involving factorials

Published on 11 Apr 2026 - 13:33

130

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There are at least two primes with power 1 in $k!$ for $k>11$

Published on 13 Dec 2020 - 8:47

251

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Ramanujan summation of alternating factorials: why is it $0.596...$?

Published on 25 Mar 2026 - 9:27

127

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On determining the constant term in Stirling's approximation

Published on 25 Mar 2026 - 13:53

134

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How to prove this identity: $4\cdot(\frac12)!=\pi$

Published on 04 Apr 2026 - 6:05

1.1k

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Is the fact that $6!7!=10!$ a pure numerical coincidence?

Published on 22 Dec 2020 - 18:06

132

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$\lim_{n\to\infty} \sqrt[n(n+1)]{ \prod_{r=0}^n {n\choose r}} $

Published on 23 Dec 2020 - 15:25

746

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Is there a mathematical notation for restricting the depth of a factorial?

Published on 12 Apr 2026 - 3:26

367

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Negative Combination

Published on 08 Apr 2026 - 18:52

97

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If $n,m \in \mathbb{N} - \{0\}$ such that $n,m \geq 2$ and $n > m$ then $n^{\frac{1}{n!}} < m^{\frac{1}{m!}}$.

Published on 26 Dec 2020 - 22:53

295

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Factorial as a Integration over a Gaussian

Published on 10 Apr 2026 - 9:15

254

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Why are there factorials in Taylor series?

Published on 12 Apr 2026 - 8:48

97

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$\sum_{n=0}^\infty \frac{1}{(2n)!}=\cosh(1)$

Published on 28 Dec 2020 - 15:40

List Question

How to show $\frac{\sigma(m!)}{m!}>ln(m)$?

Conjecture: any factorial is a sum of two Jordan-Polya numbers.

Solving limits involving factorials

There are at least two primes with power 1 in $k!$ for $k>11$

Ramanujan summation of alternating factorials: why is it $0.596...$?

On determining the constant term in Stirling's approximation

How to prove this identity: $4\cdot(\frac12)!=\pi$

Is the fact that $6!7!=10!$ a pure numerical coincidence?

$\lim_{n\to\infty} \sqrt[n(n+1)]{ \prod_{r=0}^n {n\choose r}} $

Is there a mathematical notation for restricting the depth of a factorial?

Negative Combination

If $n,m \in \mathbb{N} - \{0\}$ such that $n,m \geq 2$ and $n > m$ then $n^{\frac{1}{n!}} < m^{\frac{1}{m!}}$.

Factorial as a Integration over a Gaussian

Why are there factorials in Taylor series?

$\sum_{n=0}^\infty \frac{1}{(2n)!}=\cosh(1)$

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