What does the Bible say about the righteousness needed to enter the kingdom of heaven?

In Matthew 5:20, Jesus teaches that except our righteousness exceeds the righteousness of the scribes and Pharisees, we shall not enter the kingdom of heaven. This underscores that human righteousness, even at its best, is insufficient for salvation. The scribes and Pharisees were known for their strict adherence to the law, yet Jesus emphasizes that true righteousness comes from a heart transformed by God's grace. Only through faith in Christ, who fulfills this righteousness, can one truly attain a status acceptable to God and obtain entry into His kingdom.