diff --git a/Lib/test/nokia.pem b/Lib/test/nokia.pem
new file mode 100644
index 00000000000..0d044df4367
--- /dev/null
+++ b/Lib/test/nokia.pem
@@ -0,0 +1,31 @@
+# Certificate for projects.developer.nokia.com:443 (see issue 13034)
+-----BEGIN CERTIFICATE-----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+-----END CERTIFICATE-----
diff --git a/Lib/test/test_ssl.py b/Lib/test/test_ssl.py
index 3df4d0c34ce..aa6c8509754 100644
--- a/Lib/test/test_ssl.py
+++ b/Lib/test/test_ssl.py
@@ -110,6 +110,23 @@ class BasicSocketTests(unittest.TestCase):
         p = ssl._ssl._test_decode_cert(CERTFILE, False)
         if test_support.verbose:
             sys.stdout.write("\n" + pprint.pformat(p) + "\n")
+        self.assertEqual(p['subject'],
+                         ((('countryName', u'US'),),
+                          (('stateOrProvinceName', u'Delaware'),),
+                          (('localityName', u'Wilmington'),),
+                          (('organizationName', u'Python Software Foundation'),),
+                          (('organizationalUnitName', u'SSL'),),
+                          (('commonName', u'somemachine.python.org'),)),
+                        )
+        # Issue #13034: the subjectAltName in some certificates
+        # (notably projects.developer.nokia.com:443) wasn't parsed
+        p = ssl._ssl._test_decode_cert(NOKIACERT)
+        if test_support.verbose:
+            sys.stdout.write("\n" + pprint.pformat(p) + "\n")
+        self.assertEqual(p['subjectAltName'],
+                         (('DNS', 'projects.developer.nokia.com'),
+                          ('DNS', 'projects.forum.nokia.com'))
+                        )
 
     def test_DER_to_PEM(self):
         with open(SVN_PYTHON_ORG_ROOT_CERT, 'r') as f:
@@ -1329,15 +1346,18 @@ else:
 
 
 def test_main(verbose=False):
-    global CERTFILE, SVN_PYTHON_ORG_ROOT_CERT
+    global CERTFILE, SVN_PYTHON_ORG_ROOT_CERT, NOKIACERT
     CERTFILE = os.path.join(os.path.dirname(__file__) or os.curdir,
                             "keycert.pem")
     SVN_PYTHON_ORG_ROOT_CERT = os.path.join(
         os.path.dirname(__file__) or os.curdir,
         "https_svn_python_org_root.pem")
+    NOKIACERT = os.path.join(os.path.dirname(__file__) or os.curdir,
+                             "nokia.pem")
 
     if (not os.path.exists(CERTFILE) or
-        not os.path.exists(SVN_PYTHON_ORG_ROOT_CERT)):
+        not os.path.exists(SVN_PYTHON_ORG_ROOT_CERT) or
+        not os.path.exists(NOKIACERT)):
         raise test_support.TestFailed("Can't read certificate files!")
 
     tests = [BasicTests, BasicSocketTests]
diff --git a/Modules/_ssl.c b/Modules/_ssl.c
index 80b661f93d3..dd616608174 100644
--- a/Modules/_ssl.c
+++ b/Modules/_ssl.c
@@ -702,7 +702,7 @@ _get_peer_alt_names (X509 *certificate) {
     /* get a memory buffer */
     biobuf = BIO_new(BIO_s_mem());
 
-    i = 0;
+    i = -1;
     while ((i = X509_get_ext_by_NID(
                     certificate, NID_subject_alt_name, i)) >= 0) {