Some sports that were part of the Olympics in the past have been removed to __________ new sports which are more popular.
已知函数fn=logn+1n+2,n∈N*,定义:使f1×f2×f3×⋯×fk为整数的数kk∈N*叫作企盼数,则在区间1,1000内这样的企盼数共有( )个.