# Prime numbers and divisibility

Find all prime numbers $$(p,q,r)$$, that numbers $$pq+pr+rq$$ and $$p^3+q^3+r^3-2pqr$$ are divided by $$p+q+r$$

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CRGreathouse
Homework Helper
I'm seeing this problem asked a lot on the various math forums I frequent. Where does it come from?

Which forums (fora) are those, CR?

(See it this way: if you tell me I'll go pester somewhere else.) :P

matt grime