Question 118
Is there a positive integer $k$ with the following property?
For any prime numbers $p$ and $q$, the number $p^{q+k} + q^{p+k}$ is composite.
For any prime numbers $p$ and $q$, the number $p^{q+k} + q^{p+k}$ is composite.
MathNet 2022-part-03 — 197 problems (EN–VI) Question 118
Math Olympiad Vault · MathNet 2022-part-03 — 197 problems (EN–VI)