Question 45
A positive integer $m$ is called *usual* if the square of every prime divisor of $m$ is less than $m$.
a. Prove that there are infinitely many positive integers $n$ such that both $n$ and $n+1$ are usual.
b. Is there a positive integer $n$ such that $n$, $n+1$ and $n+2$ are all usual?
a. Prove that there are infinitely many positive integers $n$ such that both $n$ and $n+1$ are usual.
b. Is there a positive integer $n$ such that $n$, $n+1$ and $n+2$ are all usual?