'Righteousness' in the Bible

Simon Peter, a bond-servant and apostle of Jesus Christ,To those who have received a faith of the same kind as ours, by the righteousness of our God and Savior, Jesus Christ:

and did not spare the ancient world, but preserved Noah, a preacher of righteousness, with seven others, when He brought a flood upon the world of the ungodly;

For it would be better for them not to have known the way of righteousness, than having known it, to turn away from the holy commandment handed on to them.

But according to His promise we are looking for new heavens and a new earth, in which righteousness dwells.