Question 118
Be $n$ a natural number. Determine the number of pairs $(a, b)$ of natural numbers for which the following equation is fulfilled:
$$
(4 a-b)(4 b-a)=2010^{n}
$$
$$
(4 a-b)(4 b-a)=2010^{n}
$$
MathNet 2010 — Part 02 Question 118
Math Olympiad Vault · MathNet 2010 — Part 02