diff --git a/django/core/management.py b/django/core/management.py
index 4ca4c9f827..bcb4c299de 100644
--- a/django/core/management.py
+++ b/django/core/management.py
@@ -482,7 +482,7 @@ def get_sql_indexes_for_model(model):
     output = []
 
     for f in model._meta.fields:
-        if f.db_index:
+        if f.db_index and not (f.primary_key and backend.autoindexes_primary_keys):
             unique = f.unique and 'UNIQUE ' or ''
             output.append(
                 style.SQL_KEYWORD('CREATE %sINDEX' % unique) + ' ' + \
diff --git a/django/db/backends/ado_mssql/base.py b/django/db/backends/ado_mssql/base.py
index 6c24912e22..7dc197a3d9 100644
--- a/django/db/backends/ado_mssql/base.py
+++ b/django/db/backends/ado_mssql/base.py
@@ -90,6 +90,7 @@ class DatabaseWrapper(local):
 
 allows_group_by_ordinal = True
 allows_unique_and_pk = True
+autoindexes_primary_keys = False
 needs_datetime_string_cast = True
 needs_upper_for_iops = False
 supports_constraints = True
diff --git a/django/db/backends/mysql/base.py b/django/db/backends/mysql/base.py
index 93637e77d4..3928776bb9 100644
--- a/django/db/backends/mysql/base.py
+++ b/django/db/backends/mysql/base.py
@@ -133,6 +133,7 @@ class DatabaseWrapper(local):
 
 allows_group_by_ordinal = True
 allows_unique_and_pk = True
+autoindexes_primary_keys = False
 needs_datetime_string_cast = True     # MySQLdb requires a typecast for dates
 needs_upper_for_iops = False
 supports_constraints = True
diff --git a/django/db/backends/oracle/base.py b/django/db/backends/oracle/base.py
index f39701dcd6..1f78df0bf7 100644
--- a/django/db/backends/oracle/base.py
+++ b/django/db/backends/oracle/base.py
@@ -68,6 +68,7 @@ class DatabaseWrapper(local):
 
 allows_group_by_ordinal = False
 allows_unique_and_pk = False        # Suppress UNIQUE/PK for Oracle (ORA-02259)
+autoindexes_primary_keys = True
 needs_datetime_string_cast = False
 needs_upper_for_iops = True
 supports_constraints = True
diff --git a/django/db/backends/postgresql/base.py b/django/db/backends/postgresql/base.py
index e5a7893cc7..05559bd0f0 100644
--- a/django/db/backends/postgresql/base.py
+++ b/django/db/backends/postgresql/base.py
@@ -106,6 +106,7 @@ class DatabaseWrapper(local):
 
 allows_group_by_ordinal = True
 allows_unique_and_pk = True
+autoindexes_primary_keys = False
 needs_datetime_string_cast = True
 needs_upper_for_iops = False
 supports_constraints = True
diff --git a/django/db/backends/postgresql_psycopg2/base.py b/django/db/backends/postgresql_psycopg2/base.py
index cc67b306a9..81cee69208 100644
--- a/django/db/backends/postgresql_psycopg2/base.py
+++ b/django/db/backends/postgresql_psycopg2/base.py
@@ -74,6 +74,7 @@ class DatabaseWrapper(local):
 
 allows_group_by_ordinal = True
 allows_unique_and_pk = True
+autoindexes_primary_keys = False
 needs_datetime_string_cast = False
 needs_upper_for_iops = False
 supports_constraints = True
diff --git a/django/db/backends/sqlite3/base.py b/django/db/backends/sqlite3/base.py
index 3f5c796843..15f73ae4e7 100644
--- a/django/db/backends/sqlite3/base.py
+++ b/django/db/backends/sqlite3/base.py
@@ -101,6 +101,7 @@ class SQLiteCursorWrapper(Database.Cursor):
 
 allows_group_by_ordinal = True
 allows_unique_and_pk = True
+autoindexes_primary_keys = False
 needs_datetime_string_cast = True
 needs_upper_for_iops = False
 supports_constraints = False