Question Number 21572 by Tinkutara last updated on 27/Sep/17
$$\mathrm{Determine}\:\mathrm{the}\:\mathrm{largest}\:\mathrm{3}-\mathrm{digit}\:\mathrm{prime} \\ $$$$\mathrm{factor}\:\mathrm{of}\:\mathrm{the}\:\mathrm{integer}\:^{\mathrm{2000}} {C}_{\mathrm{1000}} . \\ $$