Let p(i) be the ith prime. Then p(k)# < _{k2}C_{k} = (k^{2})!/(k!*(k^{2}-k)!) for 2 < k < 1794. But p(k)# > (k^{2})!/(k!*(k^{2}-k)!) for k > 1794. What is this key prime p(k)? 15359. [Caldwell]