Finding natural numbers $a, b, c$ such that $a!=b!\times c!$
58589
On the factorial equations $A! B! =C!$ and $A!B!C! = D!$
113331
Number of ways a natural number can be written as sum of smaller natural number
110958
How to solve for any given natural number n?
41354
Binomial-coefficients if, k, m, n natural numbers and k \leq n the result of
2197
Induction principle for $n!<n^n$
88144
Induction Proof $n! < n^n$
157746
Finding all positive integer solutions to $(x!)(y!) = x!+y!+z!$
63183
Suppose $a,b,m,n$ are natural numbers, prove that if $a({m \over n})=b$ and $(a,n)=1$, then ${m \over n} \in \mathbb{N}$
150156
Proving that $S_n$ has order $n!$
124782
Hint for $(n!+1,(n+1)!)$, stuck at $ (n!+1,n+1)$
13330
Inductive Proof that $k!<k^k$, for $k\geq 2$.
22073
Prove by induction that $n^2<n!$
33757
For what natural numbers is $n^3 < 2^n$? Prove by induction
141227
How to show the integers have same cardinality as the natural numbers?
130137
How to define a Bijection between $(A^B)^C$ and $A^{B \times C}$
80216
Prove if $n \in \mathbb N$, then $\frac{1}{2!}+\cdots+\frac{n}{(n+1)!}=1-\frac{1}{(n+1)!}$
45090
Given any positive real numbers $a,b,c$, we have $(a^{2}+2)(b^{2}+2)(c^{2}+2)\geq 9(ab+bc+ca)$