$n!>a$, can we solve for $n$ in terms of $a$?
102542
Is there a way to reverse factorials?
9920
$(n^2 - 1)!$ is a multiple of $(n!)^n$
115176
Can we say that $\left(a+b\right)^{\alpha}>a^{\alpha}+b^{\alpha}$ for all $a,b>0$ and $\alpha>1$?
71108
Is there an integer $N>0$ such that $\varphi(n) = N$ has infinitely many solutions?
104920
Can we find positive integers $a$ and $k \geq 2$ with $2^n - 1 = a^k$?
82137
Given a, b How many solutions exists for x, such that: $a \bmod{x}=b $
128938
Finding $\lim_{n\to\infty} a_n^n$ where $a_n=\frac{(n!)^2}{(n+k)!(n-k)!}$
124782
Hint for $(n!+1,(n+1)!)$, stuck at $ (n!+1,n+1)$
21612
How to prove this form of $n$?
6803
Expression for power of a natural number in terms of binomial coefficients
142725
The general solution of $x^a = a^x$ for real $a >0$
45343
Solve $\cos^{n}x-\sin^{n}x=1$ with $n\in \mathbb{N}$.
88144
Induction Proof $n! < n^n$
33495
A limit problem about $a_{n+1}=a_n+\frac{n}{a_n}$
118212
Is it true that $A^A\simeq P(A)$?
22073
Prove by induction that $n^2<n!$
153763
Prove that $a_1!\cdots a_k! < n!$ whenever $a_1+\cdots+a_k < n$