New posts in factorial

Prove that there exist infinitely many integers $(n^{2015}+1)\mid n!$

number-theory divisibility factorial conjectures

Reducing download time using prime numbers

probability prime-numbers factorial

Sum of $\sum \limits_{n=0}^{\infty} \frac{1}{(kn)!}$

sequences-and-series factorial closed-form

Repeatedly taking differences on a polynomial yields the factorial of its degree?

sequences-and-series analysis number-theory factorial

How is Gosper's approximation to factorial derived?

approximation factorial

How many zeroes are in 100!

factorial decimal-expansion

Prove by Mathematical Induction: $1(1!) + 2(2!) + \cdot \cdot \cdot +n(n!) = (n+1)!-1$

discrete-mathematics summation induction factorial

How come the number $N!$ can terminate in exactly $1,2,3,4,$ or $6$ zeroes but never $5$ zeroes? [duplicate]

elementary-number-theory divisibility factorial decimal-expansion

Is $n! + 1$ often a prime?

elementary-number-theory prime-numbers factorial

How can I show that $n! \leqslant \left(\frac{n+1}{2}\right)^n$?

elementary-number-theory inequality induction factorial

How to evaluate double limit of multifactorial $\lim\limits_{k\to\infty}\lim\limits_{n\to 0} \sqrt[n]{n\underbrace{!!!!\cdots!}_{k\,\text{times}}}$

real-analysis limits factorial closed-form gamma-function

Limit of a sequence involving root of a factorial: $\lim_{n \to \infty} \frac{n}{ \sqrt [n]{n!}}$ [duplicate]

sequences-and-series limits convergence-divergence factorial radicals

Combinatorial proof of $\sum_{k=1}^n k k!=(n+1)!-1$

combinatorics summation induction factorial

Last non Zero digit of a Factorial

number-theory elementary-number-theory factorial

Prove by induction that $n!>2^n$ [duplicate]

inequality induction factorial

Can $n!$ be a perfect square when $n$ is an integer greater than $1$?

number-theory elementary-number-theory diophantine-equations factorial square-numbers

Why does the sum of the reciprocals of factorials converge to $e$?

real-analysis sequences-and-series intuition exponential-function factorial

Double factorial as a sum

combinatorics summation factorial

Inequality from Chapter 5 of the book *How to Think Like a Mathematician*

algebra-precalculus inequality exponentiation factorial radicals

Can I search for factors of $\ (11!)!+11!+1\ $ efficiently?

number-theory elementary-number-theory prime-numbers factorial prime-factorization