Brute-forcing the pepper is computationally infeasible if it was generated with enough entropy. This means the passwords are safe unless both the DB and the pep

Brute-forcing the pepper is computationally infeasible if it was generated with enough entropy. This means the passwords are safe unless both the DB and the pepper is leaked. Even if the user chooses the passowrd "123", the attacker cannot see this with purely the DB. A decent hashing algorithm doesn't help in that way.