What does $n!$ mean if $n$ is not an integer?
25729
Why is Euler's Gamma function the "best" extension of the factorial function to the reals?
71432
What does the expression $1^n$ mean as a function argument?
56624
Prove that $0!+1! + 2! + 3! + ..... + n!$ $\neq$ $p^\text{r}$, where $n \geqslant 3$ and $n$, $p$ and $r$ are three integers
33866
Show that $n$ does not divide $2^n - 1$ where $n$ is an integer greater than $1$?
103008
What does !$ mean?
56474
An example where $\frac{(2m)!(2n)!}{m!n!(m + n)!}$ is the number of ways of counting something?
120740
What is the meaning of tinyint(N)?
4435
What does $\!\bmod(n,x^r-1)$ mean? [in AKS primality test]
68400
Proof that $\frac{(2n)!}{2^n}$ is integer
102039
If any integer to the power of $x$ is integer, must $x$ be integer?
56463
Factorial of a non-integer number
133384
Question regarding to canonical factorization of $n!$?
150438
Binomial theorem for non integers ? O_o ??
26087
Find all natural numbers $n > 1$ and $m > 1$ such that $1!3!5!\cdots(2n - 1)! = m!$
145519
Prove that for any natural number $n>1$, we have $(2n)!<(n(n+1))^n$
33877
What does $2^x$ really mean when $x$ is not an integer?
148455
Show that if $(a,n)=d>1$ and $k$ is any positive integer, then $a^k\not\equiv 1\pmod{n}.$