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?