# BDMO Primes!

$$p$$ is a prime number such that there exist positive integers $$n$$ and $$m$$ that satisfy the following equation:

$p^n+144=m^2$

What is the sum of all possible values of $$m$$?

This problem appeared at the BDMO-2007 regionals.

This problem is from the set "Olympiads and Contests Around the World -1". You can see the rest of the problems here.

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