diff --git a/backend/tests/models/course_test.py b/backend/tests/models/course_test.py
index b0f2b497..89295896 100644
--- a/backend/tests/models/course_test.py
+++ b/backend/tests/models/course_test.py
@@ -33,14 +33,6 @@ def test_update_course(self, session: Session):
     def test_delete_course(self, session: Session):
         """Test if a course can be deleted"""
 
-    def test_primary_key(self, session: Session):
-        """Test the primary key"""
-        courses = session.query(Course).all()
-        with raises(IntegrityError):
-            courses[0].course_id = courses[1].course_id
-            session.commit()
-        session.rollback()
-
     def test_foreign_key_teacher(self, session: Session):
         """Test the foreign key teacher"""
         course = session.query(Course).filter_by(name="AD3").first()
diff --git a/backend/tests/models/project_test.py b/backend/tests/models/project_test.py
index 32e71d5d..84e4ef7a 100644
--- a/backend/tests/models/project_test.py
+++ b/backend/tests/models/project_test.py
@@ -63,7 +63,7 @@ def test_foreign_key_course_id(self, session: Session):
         session.rollback()
 
     @mark.parametrize("property_name",
-        ["project_id","title","descriptions","course_id","visible_for_students","archieved"]
+        ["title","descriptions","course_id","visible_for_students","archieved"]
     )
     def test_property_not_nullable(self, session: Session, property_name: str):
         """Test if the property is not nullable"""
@@ -72,12 +72,3 @@ def test_property_not_nullable(self, session: Session, property_name: str):
             setattr(project, property_name, None)
             session.commit()
         session.rollback()
-
-    @mark.parametrize("property_name", ["project_id"])
-    def test_property_unique(self, session: Session, property_name: str):
-        """Test if the property is unique"""
-        projects = session.query(Project).all()
-        with raises(IntegrityError):
-            setattr(projects[0], property_name, getattr(projects[1], property_name))
-            session.commit()
-        session.rollback()
diff --git a/backend/tests/models/submission_test.py b/backend/tests/models/submission_test.py
index 68548570..5b2f7c86 100644
--- a/backend/tests/models/submission_test.py
+++ b/backend/tests/models/submission_test.py
@@ -73,7 +73,7 @@ def test_foreign_key_project_id(self, session: Session):
         session.rollback()
 
     @mark.parametrize("property_name",
-        ["submission_id","uid","project_id","submission_time","submission_path","submission_status"]
+        ["uid","project_id","submission_time","submission_path","submission_status"]
     )
     def test_property_not_nullable(self, session: Session, property_name: str):
         """Test if the property is not nullable"""
@@ -83,15 +83,6 @@ def test_property_not_nullable(self, session: Session, property_name: str):
             session.commit()
         session.rollback()
 
-    @mark.parametrize("property_name", ["submission_id"])
-    def test_property_unique(self, session: Session, property_name: str):
-        """Test if the property is unique"""
-        submissions = session.query(Submission).all()
-        with raises(IntegrityError):
-            setattr(submissions[0], property_name, getattr(submissions[1], property_name))
-            session.commit()
-        session.rollback()
-
     def test_grading_constraint(self, session: Session):
         """Test if the grading is between 0 and 20"""
         submission = session.query(Submission).first()