diff --git a/Lib/test/test_int.py b/Lib/test/test_int.py
--- a/Lib/test/test_int.py
+++ b/Lib/test/test_int.py
@@ -74,7 +74,6 @@
         self.assertEqual(x >> 1, x//2)
 
         self.assertRaises(ValueError, int, '123\0')
-        self.assertRaises(ValueError, int, '53', 40)
 
         # SF bug 1545497: embedded NULs were not detected with
         # explicit base
@@ -305,6 +304,14 @@
                     self.fail("Failed to raise TypeError with %s" %
                               ((base, trunc_result_base),))
 
+    def test_bad_base(self):
+        self.assertRaises(ValueError, int, '53', 40)
+
+        with self.assertRaises(ValueError) as e:
+            int('100', 1)
+        self.assertEquals(str(e.exception),
+                          "int() arg base must be 0 or >= 2 and <= 36")
+
     def test_error_message(self):
         testlist = ('\xbd', '123\xbd', '  123 456  ')
         for s in testlist: