Q: What do we pray for in the first petition?
A: In the first petition (which is, Hallowed be thy name) we pray, That God would enable us and others to glorify him in all that whereby he maketh himself known, and that he would dispose all things to his own glory.

Q: What do we pray for in the second petition?
A: In the second petition (which is, Thy kingdom come) we pray, That Satan’s kingdom may be destroyed; and that the kingdom of grace may be advanced, ourselves and others brought into it, and kept in it; and that the kingdom of glory may be hastened.

(Questions CI and CII of the Westminster Shorter Catechism)