Question 55
Determine all triples $(x, y, z)$ of positive integers satisfying
$$
x \mid (y+1), \quad y \mid (z+1) \quad \text{and} \quad z \mid (x+1).
$$
$$
x \mid (y+1), \quad y \mid (z+1) \quad \text{and} \quad z \mid (x+1).
$$
MathNet 2021 — Part 01 Question 55
Math Olympiad Vault · MathNet 2021 — Part 01