diff --git a/Lib/bsddb/dbtables.py b/Lib/bsddb/dbtables.py
index f793055..babe97c 100644
--- a/Lib/bsddb/dbtables.py
+++ b/Lib/bsddb/dbtables.py
@@ -360,12 +360,11 @@
         unique = 0
         while not unique:
             # Generate a random 64-bit row ID string
-            # (note: this code has <64 bits of randomness
+            # (note: might have <64 bits of true randomness
             # but it's plenty for our database id needs!)
-            # We must ensure that no null bytes are in the id value.
             blist = []
             for x in xrange(_rowid_str_len):
-                blist.append(random.randint(1,255))
+                blist.append(random.randint(0,255))
             newid = struct.pack('B'*_rowid_str_len, *blist)
 
             # Guarantee uniqueness by adding this key to the database