Question 108
(1) Find all pairs of natural numbers $(a, b)$ such that $a^3 = b^3 + 61$.
(2) Find all pairs of natural numbers $(a, b)$ such that $a^5 = b^5 + 61$.
(2) Find all pairs of natural numbers $(a, b)$ such that $a^5 = b^5 + 61$.
MathNet 2025-part-01 — 187 problems (EN–VI) Question 108
Math Olympiad Vault · MathNet 2025-part-01 — 187 problems (EN–VI)