diff --git a/Lib/email/test/test_email.py b/Lib/email/test/test_email.py
index e18ffaf..b6e4831 100644
--- a/Lib/email/test/test_email.py
+++ b/Lib/email/test/test_email.py
@@ -1659,6 +1659,12 @@
             dh = decode_header(s % q)
             self.assertEqual(dh, [(a, 'iso-8859-1')])
 
+    def test_rfc2047_Q_invalid_digits(self):
+        # issue 10004.
+        s = '=?iso-8659-1?Q?andr=e9=zz?='
+        self.assertEqual(decode_header(s),
+                        [(b'andr\xe9=zz', 'iso-8659-1')])
+
 
 # Test the MIMEMessage class
 class TestMIMEMessage(TestEmailBase):