# SMO Primes!

Let $$p$$, $$q$$ and $$r$$ be prime numbers such that

$pqr=19(p+q+r).$

What is the value of $$p^2+q^2+r^2?$$

###### This problem is a part of the set "Olympiads and Contests Around the World - 2." You can see the rest of the problems here.
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