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MATH / If n is an integer, 1≤n≤2010, how many fractions (n²)/(2010) yield repeating decimals?

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problem

If nn is an integer, 1≤n≤2010,1 \leq n \leq 2010, how many fractions n22010\frac{n^2}{2010} yield repeating decimals?
Plain-text mathematical notation (without MathML)
If n is an integer, 1≤n≤2010, how many fractions (n²)/(2010) yield repeating decimals?
Original LaTeX notation
If $n$ is an integer, $1 \leq n \leq 2010,$ how many fractions $\frac{n^2}{2010}$ yield repeating decimals?

level

Level 5

type

Number Theory

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