diff --git a/Lib/test/test_time.py b/Lib/test/test_time.py
index 819fef35fe3..28aa46fe869 100644
--- a/Lib/test/test_time.py
+++ b/Lib/test/test_time.py
@@ -425,8 +425,9 @@ def test_negative(self):
         self.assertEqual(self.yearstr(-123456), '-123456')
         self.assertEqual(self.yearstr(-123456789), str(-123456789))
         self.assertEqual(self.yearstr(-1234567890), str(-1234567890))
-        self.assertEqual(self.yearstr(TIME_MINYEAR + 1), str(TIME_MINYEAR + 1))
-        # On some platforms it loses the sign (issue #13312)
+        # On some platforms it gives weird result (issue #13312)
+        for y in range(TIME_MINYEAR + 10000, TIME_MINYEAR, -1):
+            self.assertEqual(self.yearstr(y), str(y))
         # self.assertEqual(self.yearstr(TIME_MINYEAR), str(TIME_MINYEAR))
         self.assertRaises(OverflowError, self.yearstr, TIME_MINYEAR - 1)