List questions from factorial

Published on 21 Aug 2019 - 5:21

347

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The units digit of $1!+2!+3!+4!!+5!!+\dots+k\underset{\left \lfloor \sqrt{k} \right \rfloor \text{ times}}{\underbrace{!!!\dots!}}$

Published on 26 Mar 2026 - 22:55

60

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How do you solve an inequality that involves factorials?

Published on 22 Aug 2019 - 23:14

1.3k

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To prove that $(n-1)!+1$ is not a power of $n$.

Published on 26 Mar 2026 - 21:27

121

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a version of the famous $n!+1=m^2$ problem

Published on 26 Mar 2026 - 6:26

863

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What is the last non-zero digit of $(\dots((2018\underset{! \text{ occurs }1009\text{ times}}{\underbrace{!)!)!\dots)!}}$?

Published on 25 Mar 2026 - 21:50

81

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$\binom{p^a-1}{k}\equiv(-1)^k\pmod{p}$

Published on 27 Aug 2019 - 3:51

940

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Last non zero digit in 20!

Published on 27 Aug 2019 - 13:57

81

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What's the links between factorial,Basel Problem and Euler constant .

Published on 25 Mar 2026 - 9:34

766

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Prove that summation is less than 1

Published on 31 Aug 2019 - 3:38

143

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How many $0$'s are at the end of $(38!)^{20}$?

Published on 31 Aug 2019 - 20:34

87

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Convergence of $\sum_{n=1}^\infty\frac{n!\, i^n}{n^n}$

Published on 01 Sep 2019 - 5:11

56

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How to simplify : $\frac{(x-4)!}{(x-1)!}$ ??

Published on 01 Sep 2019 - 8:31

225

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Can we use Bernoulli’s inequality to show that (a^n)/n! goes to zero as n goes to infinity?

Published on 02 Sep 2019 - 13:40

218

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Find the sum $ 1 \cdot 1! + 2 \cdot 2! + 3 \cdot 3! + ... + n \cdot n! $

Published on 03 Sep 2019 - 9:21

List Question

How to calculate the fraction factorial without doing it manually?

The units digit of $1!+2!+3!+4!!+5!!+\dots+k\underset{\left \lfloor \sqrt{k} \right \rfloor \text{ times}}{\underbrace{!!!\dots!}}$

How do you solve an inequality that involves factorials?

To prove that $(n-1)!+1$ is not a power of $n$.

a version of the famous $n!+1=m^2$ problem

What is the last non-zero digit of $(\dots((2018\underset{! \text{ occurs }1009\text{ times}}{\underbrace{!)!)!\dots)!}}$?

$\binom{p^a-1}{k}\equiv(-1)^k\pmod{p}$

Last non zero digit in 20!

What's the links between factorial,Basel Problem and Euler constant .

Prove that summation is less than 1

How many $0$'s are at the end of $(38!)^{20}$?

Convergence of $\sum_{n=1}^\infty\frac{n!\, i^n}{n^n}$

How to simplify : $\frac{(x-4)!}{(x-1)!}$ ??

Can we use Bernoulli’s inequality to show that (a^n)/n! goes to zero as n goes to infinity?

Find the sum $ 1 \cdot 1! + 2 \cdot 2! + 3 \cdot 3! + ... + n \cdot n! $

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