[ Equations in integers ] [Prime numbers and their properties ]

Find all such triples of prime numbers $x, y, z$ such that $19 x - y z = 1995$.
$y z=19 x-1995=19(x-105)$. Since the numbers $y$ and $z$ are prime, one of them (let $y$) equals 19. Then $z=x-105$. Therefore, $x$ or $z$ are of different parity, so $z=2, x=107$.

## Answer

$(107,19,2),(107,2,19)$