# Elements of a Subset, Pairwise Relatively Prime!

For every integer $$n > 3$$, let $$f(n)$$ be the minimum positive integer, such that every subset of the set $$A =\{ 1,2,3,\ldots,n\}$$, which contains $$f(n)$$ elements, has three elements $$x,y,z$$ belonging to $$A$$, which are pairwise relatively prime.

Find the value of $$f(1250)$$.

Bonus: Generalize for $$f(n)$$.

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