Question 112
Find all triples $(p, q, r)$ of prime numbers, such that the three differences
$$
|p-q|, \quad|q-r|, \quad|r-p|
$$
are all prime numbers.
$$
|p-q|, \quad|q-r|, \quad|r-p|
$$
are all prime numbers.
MathNet 2006 — Part 03 Question 112
Math Olympiad Vault · MathNet 2006 — Part 03