Question 7
Find all triples of positive integers $a$, $b$, $c$ for which the product
$$(a+b)(b+c)(c+a)(a+b+c+2036)$$
is equal to the power of a prime number with an integer exponent.
$$(a+b)(b+c)(c+a)(a+b+c+2036)$$
is equal to the power of a prime number with an integer exponent.