Integer all

Number Theory Level 1

$\dfrac{n+1}{1},\ \dfrac{n+2}{2},\ \dfrac{n+3}{3},\ \dfrac{n+4}{4},\ \dfrac{n+5}{5}$

With $n=0$ , all of the above numbers are integers (they all equal 1). What is the next positive integer $n$ such that all of the above numbers are integers?