'Righteousness' in the Bible

Simon Peter, a servant and apostle of Jesus Christ, to those who have obtained a like precious faith with us in the righteousness of our God and Savior, Jesus Christ:

and didn't spare the ancient world, but preserved Noah with seven others, a preacher of righteousness, when he brought a flood on the world of the ungodly;

For it would be better for them not to have known the way of righteousness, than, after knowing it, to turn back from the holy commandment delivered to them.

But, according to his promise, we look for new heavens and a new earth, in which righteousness dwells.