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MathNet 2014 Question 73

Math Olympiad Vault · MathNet 2014

Question 73

Let $n$ be a positive integer, $g(n)$ be the number of positive divisors of $n$ of the form $6k + 1$ and $h(n)$ be the number of positive divisors of $n$ of the form $6k - 1$, where $k$ is a nonnegative integer. Find all positive integers $n$ such that $g(n)$ and $h(n)$ have different parity.