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**Ununuquantium** Tell me does this problem have any solution? I cannot find any.... :blush: But I think this question is very interesting and have nice solution, help me:

numbers are given:

(1) ab + bc + ac

(2) a^3 + b^3 + c^3 - 2abc

Numbers a, b, c are **prime** numbers and we have to find what numbers a, b, c that (1) and (2) are divisible by (a + b + c).

So the question is: **Find all (a, b, c) [a, b, c - prime numbers], that (1) and (2) are divisible by (a + b + c).**

I am very sorry for my english. Can anybody help me?