Just as elsewhere he says, Thou art a priest for ever, with the rank of Melchizedek.

being designated by God high priest with the rank of Melchizedek.

There Jesus entered for us in advance, when he became high priest for ever with the rank of Melchizedek.

For Melchizedek, the king of Salem, a priest of the Most High God, who met Abraham on his return from the slaughter of the kings and blessed him ??2 who had a tenth part of everything assigned him by Abraham ??this Melchizedek is primarily a king of righteousness (that is the meaning of his name); then, besides that, king of Salem (which means, king of peace).

for he was still in the loins of his father when Melchizedek met him.

Further, if the Levitical priesthood had been the means of reaching perfection (for it was on the basis of that priesthood that the Law was enacted for the People), why was it still necessary for another sort of priest to emerge with the rank of Melchizedek, instead of simply with the rank of Aaron

This becomes all the more plain when another priest emerges resembling Melchizedek,

for the witness to him is, Thou art priest for ever, with the rank of Melchizedek.