diff --git a/contrib/pg_stat_statements/expected/extended.out b/contrib/pg_stat_statements/expected/extended.out
index dbc78680226..f60cbc7bb2e 100644
--- a/contrib/pg_stat_statements/expected/extended.out
+++ b/contrib/pg_stat_statements/expected/extended.out
@@ -8,3 +8,61 @@ SELECT query_id IS NOT NULL AS query_id_set
  t
 (1 row)
 
+-- Various parameter numbering patterns
+SELECT pg_stat_statements_reset() IS NOT NULL AS t;
+ t 
+---
+ t
+(1 row)
+
+-- Unique query IDs with parameter numbers switched.
+SELECT WHERE ($1::int, 7) IN ((8, $2::int), ($3::int, 9)) \bind '1' '2' '3' \g
+--
+(0 rows)
+
+SELECT WHERE ($2::int, 10) IN ((11, $3::int), ($1::int, 12)) \bind '1' '2' '3' \g
+--
+(0 rows)
+
+SELECT WHERE $1::int IN ($2::int, $3::int) \bind '1' '2' '3' \g
+--
+(0 rows)
+
+SELECT WHERE $2::int IN ($3::int, $1::int) \bind '1' '2' '3' \g
+--
+(0 rows)
+
+SELECT WHERE $3::int IN ($1::int, $2::int) \bind '1' '2' '3' \g
+--
+(0 rows)
+
+-- Two groups of two queries with the same query ID.
+SELECT WHERE '1'::int IN ($1::int, '2'::int) \bind '1' \g
+--
+(1 row)
+
+SELECT WHERE '4'::int IN ($1::int, '5'::int) \bind '2' \g
+--
+(0 rows)
+
+SELECT WHERE $2::int IN ($1::int, '1'::int) \bind '1' '2' \g
+--
+(0 rows)
+
+SELECT WHERE $2::int IN ($1::int, '2'::int) \bind '3' '4' \g
+--
+(0 rows)
+
+SELECT query, calls FROM pg_stat_statements ORDER BY query COLLATE "C";
+                            query                             | calls 
+--------------------------------------------------------------+-------
+ SELECT WHERE $1::int IN ($2::int, $3::int)                   |     1
+ SELECT WHERE $2::int IN ($1::int, $3::int)                   |     2
+ SELECT WHERE $2::int IN ($1::int, $3::int)                   |     2
+ SELECT WHERE $2::int IN ($3::int, $1::int)                   |     1
+ SELECT WHERE $3::int IN ($1::int, $2::int)                   |     1
+ SELECT WHERE ($1::int, $4) IN (($5, $2::int), ($3::int, $6)) |     1
+ SELECT WHERE ($2::int, $4) IN (($5, $3::int), ($1::int, $6)) |     1
+ SELECT pg_stat_statements_reset() IS NOT NULL AS t           |     1
+(8 rows)
+
diff --git a/contrib/pg_stat_statements/expected/select.out b/contrib/pg_stat_statements/expected/select.out
index dd6c756f67d..c031003e624 100644
--- a/contrib/pg_stat_statements/expected/select.out
+++ b/contrib/pg_stat_statements/expected/select.out
@@ -152,6 +152,35 @@ SELECT pg_stat_statements_reset() IS NOT NULL AS t;
  t
 (1 row)
 
+-- normalization of constants and parameters, with constant locations
+-- recorded one or more times.
+SELECT pg_stat_statements_reset() IS NOT NULL AS t;
+ t 
+---
+ t
+(1 row)
+
+SELECT WHERE '1' IN ('1'::int, '3'::int::text);
+--
+(1 row)
+
+SELECT WHERE (1, 2) IN ((1, 2), (2, 3));
+--
+(1 row)
+
+SELECT WHERE (3, 4) IN ((5, 6), (8, 7));
+--
+(0 rows)
+
+SELECT query, calls FROM pg_stat_statements ORDER BY query COLLATE "C";
+                                 query                                  | calls 
+------------------------------------------------------------------------+-------
+ SELECT WHERE $1 IN ($2::int, $3::int::text)                            |     1
+ SELECT WHERE ($1, $2) IN (($3, $4), ($5, $6))                          |     2
+ SELECT pg_stat_statements_reset() IS NOT NULL AS t                     |     1
+ SELECT query, calls FROM pg_stat_statements ORDER BY query COLLATE "C" |     0
+(4 rows)
+
 --
 -- queries with locking clauses
 --
diff --git a/contrib/pg_stat_statements/pg_stat_statements.c b/contrib/pg_stat_statements/pg_stat_statements.c
index 12718dfe45c..c5c4edce423 100644
--- a/contrib/pg_stat_statements/pg_stat_statements.c
+++ b/contrib/pg_stat_statements/pg_stat_statements.c
@@ -2801,6 +2801,7 @@ generate_normalized_query(JumbleState *jstate, const char *query,
 				n_quer_loc = 0, /* Normalized query byte location */
 				last_off = 0,	/* Offset from start for previous tok */
 				last_tok_len = 0;	/* Length (in bytes) of that tok */
+	int			num_constants_replaced = 0;
 
 	/*
 	 * Get constants' lengths (core system only gives us locations).  Note
@@ -2844,7 +2845,8 @@ generate_normalized_query(JumbleState *jstate, const char *query,
 
 		/* And insert a param symbol in place of the constant token */
 		n_quer_loc += sprintf(norm_query + n_quer_loc, "$%d",
-							  i + 1 + jstate->highest_extern_param_id);
+							  num_constants_replaced + 1 + jstate->highest_extern_param_id);
+		num_constants_replaced++;
 
 		quer_loc = off + tok_len;
 		last_off = off;
diff --git a/contrib/pg_stat_statements/sql/extended.sql b/contrib/pg_stat_statements/sql/extended.sql
index 07b6c5a93d6..1dd49cf2025 100644
--- a/contrib/pg_stat_statements/sql/extended.sql
+++ b/contrib/pg_stat_statements/sql/extended.sql
@@ -5,3 +5,19 @@ SET pg_stat_statements.track_utility = FALSE;
 -- This test checks that an execute message sets a query ID.
 SELECT query_id IS NOT NULL AS query_id_set
   FROM pg_stat_activity WHERE pid = pg_backend_pid() \bind \g
+
+-- Various parameter numbering patterns
+SELECT pg_stat_statements_reset() IS NOT NULL AS t;
+-- Unique query IDs with parameter numbers switched.
+SELECT WHERE ($1::int, 7) IN ((8, $2::int), ($3::int, 9)) \bind '1' '2' '3' \g
+SELECT WHERE ($2::int, 10) IN ((11, $3::int), ($1::int, 12)) \bind '1' '2' '3' \g
+SELECT WHERE $1::int IN ($2::int, $3::int) \bind '1' '2' '3' \g
+SELECT WHERE $2::int IN ($3::int, $1::int) \bind '1' '2' '3' \g
+SELECT WHERE $3::int IN ($1::int, $2::int) \bind '1' '2' '3' \g
+-- Two groups of two queries with the same query ID.
+SELECT WHERE '1'::int IN ($1::int, '2'::int) \bind '1' \g
+SELECT WHERE '4'::int IN ($1::int, '5'::int) \bind '2' \g
+SELECT WHERE $2::int IN ($1::int, '1'::int) \bind '1' '2' \g
+SELECT WHERE $2::int IN ($1::int, '2'::int) \bind '3' '4' \g
+
+SELECT query, calls FROM pg_stat_statements ORDER BY query COLLATE "C";
diff --git a/contrib/pg_stat_statements/sql/select.sql b/contrib/pg_stat_statements/sql/select.sql
index eb45cb81ad2..c419c845796 100644
--- a/contrib/pg_stat_statements/sql/select.sql
+++ b/contrib/pg_stat_statements/sql/select.sql
@@ -58,6 +58,14 @@ DEALLOCATE pgss_test;
 SELECT calls, rows, query FROM pg_stat_statements ORDER BY query COLLATE "C";
 SELECT pg_stat_statements_reset() IS NOT NULL AS t;
 
+-- normalization of constants and parameters, with constant locations
+-- recorded one or more times.
+SELECT pg_stat_statements_reset() IS NOT NULL AS t;
+SELECT WHERE '1' IN ('1'::int, '3'::int::text);
+SELECT WHERE (1, 2) IN ((1, 2), (2, 3));
+SELECT WHERE (3, 4) IN ((5, 6), (8, 7));
+SELECT query, calls FROM pg_stat_statements ORDER BY query COLLATE "C";
+
 --
 -- queries with locking clauses
 --