diff --git a/luigi/target.py b/luigi/target.py
index 7ed094f094..86cac9dbad 100644
--- a/luigi/target.py
+++ b/luigi/target.py
@@ -284,7 +284,7 @@ def run(self):
                     with self.output().temporary_path() as self.temp_output_path:
                         run_some_external_command(output_path=self.temp_output_path)
         """
-        num = random.randrange(0, 1e10)
+        num = random.randrange(0, 10000000000)
         slashless_path = self.path.rstrip('/').rstrip("\\")
         _temp_path = '{}-luigi-tmp-{:010}{}'.format(
             slashless_path,
@@ -328,7 +328,7 @@ def close(self):
         self.move_to_final_destination()
 
     def generate_tmp_path(self, path):
-        return os.path.join(tempfile.gettempdir(), 'luigi-s3-tmp-%09d' % random.randrange(0, 1e10))
+        return os.path.join(tempfile.gettempdir(), 'luigi-s3-tmp-%09d' % random.randrange(0, 10000000000))
 
     def move_to_final_destination(self):
         raise NotImplementedError()
diff --git a/luigi/worker.py b/luigi/worker.py
index ba575b7fdf..84359e4740 100644
--- a/luigi/worker.py
+++ b/luigi/worker.py
@@ -158,7 +158,9 @@ def run(self):
 
         if self.use_multiprocessing:
             # Need to have different random seeds if running in separate processes
-            random.seed((os.getpid(), time.time()))
+            processID = os.getpid()
+            currentTime = time.time()
+            random.seed((processID, currentTime))
 
         status = FAILED
         expl = ''