# 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: $$x_1 + x_2 + \dots + y_1 + y_2 \dots + z_1 + z_2 + \dots$$

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