Question 60
Determine all positive integers $m$ for which both $\frac{2 \cdot 5^{m}+10}{3^{m}+1}$ and $\frac{9^{m}+1}{5^{m}+5}$ are integers.
MathNet 2009-part-02 — 175 problems (EN–VI) Question 60
Math Olympiad Vault · MathNet 2009-part-02 — 175 problems (EN–VI)