# Integer Sequence with a Restriction

A positive integer sequence $$a_1,a_2,\ldots a_n,a_{n+1},\ldots$$ has a property that for all integers $$i,j$$ with $$i > j$$, the sequence satisfies $ia_j > ja_i$

If $$a_{1000}=2014$$, then what is the the minimum possible value $$a_{500}$$ can take?

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