Hebrews 7:11

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?

Hebrews 8:7

For if that first covenant had been faultless, then no place should have been sought for the second.

Galatians 2:21

I do not reject the grace of God, for if righteousness comes by the law, then Christ is dead in vain.

Hebrews 5:6

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

Hebrews 7:17-19

for the testimony is of this manner, Thou art a priest for ever after the order of Melchisedec.

Galatians 4:3

Even so we, when we were children, were in slavery under the elements of the world,

Galatians 4:9

But now, having known God, or rather being known of God, how do ye turn again to the weak and beggarly elements, in which ye desire again to be in slavery?

Colossians 2:10-17

and ye are complete in him, who is the head of all principality and power.

Hebrews 5:10

named by God high priest after the order of Melchisedec.

Hebrews 6:20

where our precursor, Jesus, has entered for us and is made high priest for ever after the order of Melchisedec.

Hebrews 7:15

And it is yet far more manifest: if there arises another priest who is like unto Melchisedec,

Hebrews 7:21

(for the others indeed without an oath were made priests, but this one with an oath by him that said unto him, The Lord swore and will not repent, Thou art a priest for ever after the order of Melchisedec);

Hebrews 8:10-13

For this is the testament that I will ordain to the house of Israel after those days, saith the Lord: I will give my laws into their soul and write them upon 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 good things to come, and not the very image of the things, can never make perfect those who come by the same sacrifices which they offer year by year continually.

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?

General references

Bible References

Perfection

Hebrews 7:18
For there is verily a disannulling of the commandment going before for the weakness and unprofitableness of it;
Hebrews 8:7
For if that first covenant had been faultless, then no place should have been sought for the second.
Hebrews 10:1
For the law having a shadow of good things to come, and not the very image of the things, can never make perfect those who come by the same sacrifices which they offer year by year continually.
Galatians 2:21
I do not reject the grace of God, for if righteousness comes by the law, then Christ is dead in vain.
Galatians 4:3
Even so we, when we were children, were in slavery under the elements of the world,
Colossians 2:10
and ye are complete in him, who is the head of all principality and power.

What

Hebrews 7:26
For it was expedient that we have such a high priest, who is holy, innocent, undefiled, separate from sinners, and made higher than the heavens,

Another

Hebrews 7:15
And it is yet far more manifest: if there arises another priest who is like unto Melchisedec,
Hebrews 5:6
As he said also in another place, Thou art a priest for ever after the order of Melchisedec.
Hebrews 6:20
where our precursor, Jesus, has entered for us and is made high priest for ever after the order of Melchisedec.

General references

Numbers 20:26
and cause Aaron to be stripped of his garments and put them upon Eleazar, his son; for Aaron shall be gathered unto his people and shall die there.