diff --git a/kennitala/__init__.py b/kennitala/__init__.py
index 34a61e9..c78bea1 100644
--- a/kennitala/__init__.py
+++ b/kennitala/__init__.py
@@ -140,6 +140,11 @@ def validate(self):
 
         try:
             date(year, month, day)
+        except ValueError:
+            if int(kennitala[0]) <= 3 or 1 > day > 31:
+                return False
+
+        try:
             checkdigit = Kennitala._compute_checkdigit(kennitala)
             return kennitala[-2] == checkdigit
         except ValueError:
diff --git a/tests/test_kennitala.py b/tests/test_kennitala.py
index 8194d14..43c1d0f 100644
--- a/tests/test_kennitala.py
+++ b/tests/test_kennitala.py
@@ -9,6 +9,7 @@
     '140543-3229',  # kennitala of Icelandic president
     '1203753509',  # kennitala of Icelandic prime minister
     '6503760649',  # kennitala of Þjóðskrá Íslands (Registry Iceland)
+    '7102692709',  # kennitala of Þjóðleikhúsið (National Theatre)
 )
 
 birth_dates = (date(1943, 5, 14), date(1975, 3, 12))