Jesus Compared to Melchizedek

Now if perfection had been attainable through the Levitical priesthood (for under it the people received the law), what further need would there have been for another priest to arise after the order of Melchizedek, rather than one named after the order of Aaron?

Indeed, under the law almost everything is purified with blood, and without the shedding of blood there is no forgiveness of sins.