diff --git a/src/backend/optimizer/path/indxpath.c b/src/backend/optimizer/path/indxpath.c
index 0065c8992bd..89ff0cb461b 100644
--- a/src/backend/optimizer/path/indxpath.c
+++ b/src/backend/optimizer/path/indxpath.c
@@ -3404,6 +3404,16 @@ check_index_predicates(PlannerInfo *root, RelOptInfo *rel)
 		if (is_target_rel)
 			continue;
 
+		/*
+		 * If index is !amoptionalkey, also leave indrestrictinfo as set
+		 * above.  Otherwise we risk removing all quals for the first index
+		 * key and then not being able to generate an indexscan at all.  It
+		 * would be better to be more selective, but we've not yet identified
+		 * which if any of the quals match the first index key.
+		 */
+		if (!index->amoptionalkey)
+			continue;
+
 		/* Else compute indrestrictinfo as the non-implied quals */
 		index->indrestrictinfo = NIL;
 		foreach(lcr, rel->baserestrictinfo)
diff --git a/src/test/regress/expected/hash_index.out b/src/test/regress/expected/hash_index.out
index a2036a15972..2003b46e39e 100644
--- a/src/test/regress/expected/hash_index.out
+++ b/src/test/regress/expected/hash_index.out
@@ -40,6 +40,8 @@ CREATE INDEX hash_name_index ON hash_name_heap USING hash (random name_ops);
 CREATE INDEX hash_txt_index ON hash_txt_heap USING hash (random text_ops);
 CREATE INDEX hash_f8_index ON hash_f8_heap USING hash (random float8_ops)
   WITH (fillfactor=60);
+CREATE INDEX hash_i4_partial_index ON hash_i4_heap USING hash (seqno)
+  WHERE seqno = 9999;
 --
 -- Also try building functional, expressional, and partial indexes on
 -- tables that already contain data.
@@ -131,6 +133,25 @@ SELECT * FROM hash_f8_heap
 -------+--------
 (0 rows)
 
+--
+-- partial hash index
+--
+EXPLAIN (COSTS OFF)
+SELECT * FROM hash_i4_heap
+   WHERE seqno = 9999;
+                       QUERY PLAN                       
+--------------------------------------------------------
+ Index Scan using hash_i4_partial_index on hash_i4_heap
+   Index Cond: (seqno = 9999)
+(2 rows)
+
+SELECT * FROM hash_i4_heap
+   WHERE seqno = 9999;
+ seqno |   random   
+-------+------------
+  9999 | 1227676208
+(1 row)
+
 --
 -- hash index
 -- grep '^90[^0-9]' hashovfl.data
diff --git a/src/test/regress/sql/hash_index.sql b/src/test/regress/sql/hash_index.sql
index 527024f7109..72696f27b6e 100644
--- a/src/test/regress/sql/hash_index.sql
+++ b/src/test/regress/sql/hash_index.sql
@@ -53,6 +53,9 @@ CREATE INDEX hash_txt_index ON hash_txt_heap USING hash (random text_ops);
 CREATE INDEX hash_f8_index ON hash_f8_heap USING hash (random float8_ops)
   WITH (fillfactor=60);
 
+CREATE INDEX hash_i4_partial_index ON hash_i4_heap USING hash (seqno)
+  WHERE seqno = 9999;
+
 --
 -- Also try building functional, expressional, and partial indexes on
 -- tables that already contain data.
@@ -117,6 +120,16 @@ SELECT * FROM hash_f8_heap
 SELECT * FROM hash_f8_heap
    WHERE hash_f8_heap.random = '88888888'::float8;
 
+--
+-- partial hash index
+--
+EXPLAIN (COSTS OFF)
+SELECT * FROM hash_i4_heap
+   WHERE seqno = 9999;
+
+SELECT * FROM hash_i4_heap
+   WHERE seqno = 9999;
+
 --
 -- hash index
 -- grep '^90[^0-9]' hashovfl.data