We are in the right year for this! - (4)Number Theory Level 2
First: Find all distinct triples \( (x_1,y_1,z_1), (x_2,y_2,z_2), \dots \) that suffice the following properties:
\( x*(y+z) = 2015 \),
\(y > z\),
\( x,y,z\) are primes!
Then: What is the sum of: \( x_1 + x_2 + \dots + y_1 + y_2 \dots + z_1 + z_2 + \dots \)