List questions from factorial

Published on 11 Jan 2016 - 15:45

1k

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Perform index shift on summation containing factorial

Published on 01 Apr 2026 - 5:29

198

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Integer solutions for $\lceil{\sqrt{x!}}\rceil^2 - x! = y^2$

Published on 01 Apr 2026 - 5:01

254

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When $n!=m(m+1)(m+2)$: A Diophantine Equation

Published on 15 Jan 2016 - 2:19

148

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How to show that for all k, $k! \ge (k/2)^{k/2}$

Published on 17 Jan 2016 - 14:48

262

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Find all triples of non-negative Integers $a,b,c$ such that $a!b!=a!+b!+c!$

Published on 18 Jan 2016 - 19:09

97

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Same values for Gamma Function

Published on 27 Mar 2026 - 23:57

868

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How to isolate variable algebraically in a combinatorics equation?

Published on 20 Jan 2016 - 7:34

128

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An inequality involving factorials and two variables

Published on 21 Jan 2016 - 13:16

19

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Solving $\Pi^t_i 2 m_i \left(N_i!\right)^{m_i} $

Published on 27 Mar 2026 - 0:58

195

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Summation of factorials.

Published on 22 Jan 2016 - 14:58

2.3k

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Factorial grow faster than Exponential - permutation case

Published on 24 Jan 2016 - 0:39

220

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Prove $\frac{1\cdot 3\cdots(2n-1)}{2\cdot 4 \cdots(2n)}<\frac{1}{\sqrt{2n+1}}$, $n\ge 1$

Published on 26 Jan 2016 - 16:41

107

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Is $\sum_{p}\frac{1}{p!}=\frac{1}{2!}+\frac{1}{3!}+\frac{1}{5!}+...$ irrational?

Published on 04 Apr 2026 - 0:49

26

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Solving $(\prod^t_{i=1} N_i m_i)!$

Published on 01 Apr 2026 - 0:39

List Question

Problem on factorials and divisiblity of number theory

Perform index shift on summation containing factorial

Integer solutions for $\lceil{\sqrt{x!}}\rceil^2 - x! = y^2$

When $n!=m(m+1)(m+2)$: A Diophantine Equation

How to show that for all k, $k! \ge (k/2)^{k/2}$

Find all triples of non-negative Integers $a,b,c$ such that $a!b!=a!+b!+c!$

Same values for Gamma Function

How to isolate variable algebraically in a combinatorics equation?

An inequality involving factorials and two variables

Solving $\Pi^t_i 2 m_i \left(N_i!\right)^{m_i} $

Summation of factorials.

Factorial grow faster than Exponential - permutation case

Prove $\frac{1\cdot 3\cdots(2n-1)}{2\cdot 4 \cdots(2n)}<\frac{1}{\sqrt{2n+1}}$, $n\ge 1$

Is $\sum_{p}\frac{1}{p!}=\frac{1}{2!}+\frac{1}{3!}+\frac{1}{5!}+...$ irrational?

Solving $(\prod^t_{i=1} N_i m_i)!$

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