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Median factor of factorials

score 90 · Answer 1 · 2026-04-11 23:36:26

90

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Median factor of factorials

Published on 11 Apr 2026 - 23:36

score 704 · Answer 2 · 2026-04-12 16:18:27

704

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Why is $n!$ so close to linear when plotted on a log scale?

Published on 12 Apr 2026 - 16:18

score 165 · Answer 3 · 2026-04-13 03:28:03

165

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Combinatorial Proof regarding Falling Factorials and sums of Falling Factorials

Published on 13 Apr 2026 - 3:28

score 50 · Answer 4 · 2026-04-13 00:20:18

50

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Ask for a proof of an inequality bounding the ratio of two consecutive geometric means of the first finitely many natural numbers

Published on 13 Apr 2026 - 0:20

score 3.4k · Answer 5 · 2026-04-12 15:12:08

3.4k

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Reducing download time using prime numbers

Published on 12 Apr 2026 - 15:12

score 52 · Answer 6 · 2026-04-11 07:24:35

52

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Alternating summation identity for $m!$ in terms of two variables

Published on 11 Apr 2026 - 7:24

score 67 · Answer 7 · 2026-03-26 14:34:21

67

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Prove that: $r^{\underline{k}}\:\cdot \:\left(r-\frac{1}{2}\right)^{\underline{k}}\:=\:\frac{\left(2r\right)^{\underline{2k}}}{2^{2k}}$

Published on 26 Mar 2026 - 14:34

score 78 · Answer 8 · 2026-04-11 01:29:03

78

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Is this identity known and if so, does it have a name?

Published on 11 Apr 2026 - 1:29

score 276 · Answer 9 · 2026-04-09 16:46:03

276

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Computing zillions of digits of the "derangement constant"

Published on 09 Apr 2026 - 16:46

score 201 · Answer 10 · 2026-04-12 20:24:59

201

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limit of factorial divided by sum of factorials

Published on 12 Apr 2026 - 20:24

score 63 · Answer 11 · 2021-09-16 17:28:13

63

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Tips to demonstrate for that $x^{\underline{n+p}}=n^{\underline{n}}\:\left(x-n\right)^{\underline{p}}$

Published on 16 Sep 2021 - 17:28

score 88 · Answer 12 · 2026-04-12 19:44:02

88

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The sum $\sum_{i=1}^\infty \frac{1}{i!i}$

Published on 12 Apr 2026 - 19:44

score 66 · Answer 13 · 2026-04-12 23:31:05

66

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If n is a positive integer that is four digits long and is relatively prime to 100!, why must n be prime?

Published on 12 Apr 2026 - 23:31

score 50 · Answer 14 · 2026-04-10 11:16:18

50

Views

Simplifying factorial expressions to show properties of Pascal's triangle

Published on 10 Apr 2026 - 11:16

score 298 · Answer 15 · 2026-04-13 07:21:38

298

Views

What is the positive solution to $\Gamma'(x)=0$?

Published on 13 Apr 2026 - 7:21

List Question

Median factor of factorials

Why is $n!$ so close to linear when plotted on a log scale?

Combinatorial Proof regarding Falling Factorials and sums of Falling Factorials

Ask for a proof of an inequality bounding the ratio of two consecutive geometric means of the first finitely many natural numbers

Reducing download time using prime numbers

Alternating summation identity for $m!$ in terms of two variables

Prove that: $r^{\underline{k}}\:\cdot \:\left(r-\frac{1}{2}\right)^{\underline{k}}\:=\:\frac{\left(2r\right)^{\underline{2k}}}{2^{2k}}$

Is this identity known and if so, does it have a name?

Computing zillions of digits of the "derangement constant"

limit of factorial divided by sum of factorials

Tips to demonstrate for that $x^{\underline{n+p}}=n^{\underline{n}}\:\left(x-n\right)^{\underline{p}}$

The sum $\sum_{i=1}^\infty \frac{1}{i!i}$

If n is a positive integer that is four digits long and is relatively prime to 100!, why must n be prime?

Simplifying factorial expressions to show properties of Pascal's triangle

What is the positive solution to $\Gamma'(x)=0$?

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