Prime Product Problem

{p1,p2,p3,,pn,}\{p_1,p_2,p_3,\ldots,p_n,\ldots\} is the set of primes. f(n)=i=1npif(n)=\prod_{i=1}^np_i What are the last three digits of f(2014)?f(2014)\text{?}

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