diff -r 3e19634b396f Lib/test/test_time.py
--- a/Lib/test/test_time.py	Thu Feb 20 10:37:27 2014 +0100
+++ b/Lib/test/test_time.py	Thu Feb 20 16:10:47 2014 +0100
@@ -228,7 +228,7 @@ class TimeTestCase(unittest.TestCase):
         self.assertEqual(time.ctime(t), 'Sun Sep 16 01:03:52 1973')
         t = time.mktime((2000, 1, 1, 0, 0, 0, 0, 0, -1))
         self.assertEqual(time.ctime(t), 'Sat Jan  1 00:00:00 2000')
-        for year in [-100, 100, 1000, 2000, 10000]:
+        for year in [-100, 100, 1000, 2000, 2050, 10000]:
             try:
                 testval = time.mktime((year, 1, 10) + (0,)*6)
             except (ValueError, OverflowError):
diff -r 3e19634b396f Modules/timemodule.c
--- a/Modules/timemodule.c	Thu Feb 20 10:37:27 2014 +0100
+++ b/Modules/timemodule.c	Thu Feb 20 16:10:47 2014 +0100
@@ -823,7 +823,18 @@ time_mktime(PyObject *self, PyObject *tu
     time_t tt;
     if (!gettmarg(tup, &buf))
         return NULL;
+#ifdef _AIX
+    /* year < 1902 or year > 2037 */
+    if (buf.tm_year < 2 || buf.tm_year > 137) {
+        /* Issue #19748: On AIX, mktime() doesn't report overflow error for
+         * timestamp < -2^31 or timestamp > 2**31-1. */
+        PyErr_SetString(PyExc_OverflowError,
+                        "mktime argument out of range");
+        return NULL;
+    }
+#else
     buf.tm_wday = -1;  /* sentinel; original value ignored */
+#endif
     tt = mktime(&buf);
     /* Return value of -1 does not necessarily mean an error, but tm_wday
      * cannot remain set to -1 if mktime succeeded. */