NumberTheoryBasic
FactorizationMethod
AMC10/12
2005
For each positive integer $n > 1$, let $P(n)$ denote the greatest prime factor of $n$. For how many positive integers $n$ is it true that both $P(n) = \sqrt{n}$ and $P(n+48) = \sqrt{n+48}$?
The solution for this problem is available for
$0.99.
You can also purchase a pass for all available solutions for
$99.