New posts in Integers

What are all the integral solutions of $n!=m(m^2-1)$?

$4q=a^2+27b^2$ elementary proof of uniqueness

$a/p+b/q>1$ with certain conditions

Show that $n | \sum_{k=1}^n m^{\textrm{gcd}(k, n)}$ where $n, m \geq 1$

Addition and multiplication in terms of arrows in the poset category where an existing arrow means "divides".

Let $a,b \in \mathbb{Z}^+ $. If $b\mid a$ and $b\mid (a+2)$ , prove that $b=1$ or $b=2$

Find integers $1+\sqrt2+\sqrt3+\sqrt6=\sqrt{a+\sqrt{b+\sqrt{c+\sqrt{d}}}}$

Bouncing Bullet Problem

$a+b+c=x+y+z$ and $abc=xyz$ , in which each two of them unequal.

Every natural number is covered by consecutive numbers that sum to a prime power.