Hebrews 7:11

If therefore there was perfection through the Levitical priesthood,??or the people received the law under it,??hat need was there that another priest should arise after the order of Melchisedec and not to be called after the order of Aaron?

Hebrews 8:7

For if that first covenant had been faultless, no place would have been sought for the second. [But it was not].

Galatians 2:21

I do not reject the grace of God; for if rightousness is through the law, then Christ died for nothing.

Hebrews 5:6

as also in another place he says, Thou art a priest for ever after the order of Melchisedec.

Hebrews 7:17-19

For it is testified, Thou art a priest forever, after the order of Melchisedec.

Galatians 4:3

So also we, when we were children, were in servitude under the rudiments of the world;

Galatians 4:9

but now knowing God, or rather being known by God, how do you turn again to the weak and imperfect rudiments, which you wish again to serve?

Colossians 2:10-17

and you are made perfect in him, who is the head of all principality and power,

Hebrews 5:10

being called by God a chief priest after the order of Melchisedec.

Hebrews 6:20

where our forerunner Jesus entered, made after the order of Melchisedec a chief priest forever.

Hebrews 7:15

And moreover, [this] is still further evident, if another priest is raised up according to the likeness of Melchisedec,

Hebrews 8:10-13

This is the covenant that I will make with the house of Israel after those days, says the Lord; I will put my laws in their minds, and will write them in their hearts, and I will be to them a God, and they shall be to me a people.

Hebrews 10:1-4

For the law having a shadow of the good things that were to come, not the very likeness of the things, could not by the sacrifices which they offered continually every year perfect the offerers;

Treasury of Scripture Knowledge

Summary

If therefore perfection were by the Levitical priesthood, (for under it the people received the law,) what further need was there that another priest should rise after the order of Melchisedec, and not be called after the order of Aaron?

Bible References

Perfection

Hebrews 7:18
For there is an abrogation of the commandment which goes before, on account of its weakness and unprofitableness;
Hebrews 8:7
For if that first covenant had been faultless, no place would have been sought for the second. [But it was not].
Hebrews 10:1
For the law having a shadow of the good things that were to come, not the very likeness of the things, could not by the sacrifices which they offered continually every year perfect the offerers;
Galatians 2:21
I do not reject the grace of God; for if rightousness is through the law, then Christ died for nothing.
Galatians 4:3
So also we, when we were children, were in servitude under the rudiments of the world;
Colossians 2:10
and you are made perfect in him, who is the head of all principality and power,

What

Hebrews 7:26
For such a chief priest also was suitable for us, holy, harmless, undefiled, separated from sinners, and made higher than the heavens,

Another

Hebrews 7:15
And moreover, [this] is still further evident, if another priest is raised up according to the likeness of Melchisedec,
Hebrews 5:6
as also in another place he says, Thou art a priest for ever after the order of Melchisedec.
Hebrews 6:20
where our forerunner Jesus entered, made after the order of Melchisedec a chief priest forever.