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I have read a result on computing the highest power of a prime that divides $n!$. I was wondering if there are any results on how to compute the highest power of a prime dividing $f(x)$, where $f$ is a function on the real numbers that outputs integer values.

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    For general $f$, apart from brute-force, I don't see how.2010-11-26
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    Sorry I don't mean a general $f$. I meant whether do we have results for other specific functions like the one we have for factorials.2010-11-26

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