### মৌলিক ত্রয়ী

##### Score: 2 Points

Find the sum of all triples $(x, y, z ; (x < y < z) )$ such that $x, y, z, z-y, y-x, z-x$ are all prime positive integers. (First sum all the triples individually, then sum all the sums.)

Source: BdMO

Basic

#### Statistics

Tried 98

Solved 86

First Solve @marzuqcesc