diff --git a/Lib/test/test_strlit.py b/Lib/test/test_strlit.py
--- a/Lib/test/test_strlit.py
+++ b/Lib/test/test_strlit.py
@@ -2,10 +2,10 @@ r"""Test correct treatment of various st
 
 There are four types of string literals:
 
-    'abc'   -- normal str
-    r'abc'  -- raw str
-    b'xyz'  -- normal bytes
-    br'xyz' -- raw bytes
+    'abc'             -- normal str
+    r'abc'            -- raw str
+    b'xyz'            -- normal bytes
+    br'xyz' | rb'xyz' -- raw bytes
 
 The difference between normal and raw strings is of course that in a
 raw string, \ escapes (while still used to determine the end of the
@@ -102,12 +102,25 @@ class TestLiterals(unittest.TestCase):
 
     def test_eval_bytes_raw(self):
         self.assertEqual(eval(""" br'x' """), b'x')
+        self.assertEqual(eval(""" rb'x' """), b'x')
         self.assertEqual(eval(r""" br'\x01' """), b'\\' + b'x01')
+        self.assertEqual(eval(r""" rb'\x01' """), b'\\' + b'x01')
         self.assertEqual(eval(""" br'\x01' """), byte(1))
+        self.assertEqual(eval(""" rb'\x01' """), byte(1))
         self.assertEqual(eval(r""" br'\x81' """), b"\\" + b"x81")
+        self.assertEqual(eval(r""" rb'\x81' """), b"\\" + b"x81")
         self.assertRaises(SyntaxError, eval, """ br'\x81' """)
+        self.assertRaises(SyntaxError, eval, """ rb'\x81' """)
         self.assertEqual(eval(r""" br'\u1881' """), b"\\" + b"u1881")
+        self.assertEqual(eval(r""" rb'\u1881' """), b"\\" + b"u1881")
         self.assertRaises(SyntaxError, eval, """ br'\u1881' """)
+        self.assertRaises(SyntaxError, eval, """ rb'\u1881' """)
+        self.assertRaises(SyntaxError, eval, """ bb'' """)
+        self.assertRaises(SyntaxError, eval, """ rr'' """)
+        self.assertRaises(SyntaxError, eval, """ brr'' """)
+        self.assertRaises(SyntaxError, eval, """ bbr'' """)
+        self.assertRaises(SyntaxError, eval, """ rrb'' """)
+        self.assertRaises(SyntaxError, eval, """ rbb'' """)
 
     def check_encoding(self, encoding, extra=""):
         modname = "xx_" + encoding.replace("-", "_")
diff --git a/Lib/test/tokenize_tests.txt b/Lib/test/tokenize_tests.txt
--- a/Lib/test/tokenize_tests.txt
+++ b/Lib/test/tokenize_tests.txt
@@ -114,8 +114,12 @@ x = b'abc' + B'ABC'
 y = b"abc" + B"ABC"
 x = br'abc' + Br'ABC' + bR'ABC' + BR'ABC'
 y = br"abc" + Br"ABC" + bR"ABC" + BR"ABC"
+x = rb'abc' + rB'ABC' + Rb'ABC' + RB'ABC'
+y = rb"abc" + rB"ABC" + Rb"ABC" + RB"ABC"
 x = br'\\' + BR'\\'
+x = rb'\\' + RB'\\'
 x = br'\'' + ''
+x = rb'\'' + ''
 y = br'''
 foo bar \\
 baz''' + BR'''
@@ -124,6 +128,10 @@ y = Br"""foo
 bar \\ baz
 """ + bR'''spam
 '''
+y = rB"""foo
+bar \\ baz
+""" + Rb'''spam
+'''
 
 # Indentation
 if 1:
diff --git a/Parser/tokenizer.c b/Parser/tokenizer.c
--- a/Parser/tokenizer.c
+++ b/Parser/tokenizer.c
@@ -1412,13 +1412,15 @@ tok_get(register struct tok_state *tok, 
     /* Identifier (most frequent token!) */
     nonascii = 0;
     if (is_potential_identifier_start(c)) {
-        /* Process b"", r"" and br"" */
-        if (c == 'b' || c == 'B') {
-            c = tok_nextc(tok);
-            if (c == '"' || c == '\'')
-                goto letter_quote;
-        }
-        if (c == 'r' || c == 'R') {
+        /* Process b"", r"", br"" and rb"" */
+        int saw_b = 0, saw_r = 0;
+        while (1) {
+            if (!saw_b && (c == 'b' || c == 'B'))
+                saw_b = 1;
+            else if (!saw_r && (c == 'r' || c == 'R'))
+                saw_r = 1;
+            else
+                break;
             c = tok_nextc(tok);
             if (c == '"' || c == '\'')
                 goto letter_quote;
diff --git a/Python/ast.c b/Python/ast.c
--- a/Python/ast.c
+++ b/Python/ast.c
@@ -3744,13 +3744,18 @@ parsestr(struct compiling *c, const node
     int rawmode = 0;
     int need_encoding;
     if (isalpha(quote)) {
-        if (quote == 'b' || quote == 'B') {
-            quote = *++s;
-            *bytesmode = 1;
-        }
-        if (quote == 'r' || quote == 'R') {
-            quote = *++s;
-            rawmode = 1;
+        while (!*bytesmode || !rawmode) {
+            if (quote == 'b' || quote == 'B') {
+                quote = *++s;
+                *bytesmode = 1;
+            }
+            else if (quote == 'r' || quote == 'R') {
+                quote = *++s;
+                rawmode = 1;
+            }
+            else {
+                break;
+            }
         }
     }
     if (quote != '\'' && quote != '\"') {