# Primey Polynomial

Algebra Level pending

There exists a quintic ($$5^\text{th}$$ degree) polynomial $$f(x)$$ with $$f :\mathbb N\rightarrow \mathbb N$$ of with integer coefficients such that for every prime $$p$$ there exists a prime $$q$$ and a natural number $$r$$ such that $$f(p)=q^r$$.

Determine $$f(6)$$.

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