I urge that entreaties be made on behalf of all men (from 1 Timothy 2:1).
This kind of prayer arises from the sense of need. Knowing what is lacking, we plead with God to supply it.
As we look our on the masses of lost humanity, the enormity of their need should drive us to our knees.*
*John McArthur, The McArthur New Testament Commentary – 1 Timothy, p.61.