diff --git a/tests/test_complexity.py b/tests/test_complexity.py
index ce20fd3..d2adcf1 100644
--- a/tests/test_complexity.py
+++ b/tests/test_complexity.py
@@ -50,6 +50,8 @@ def make_names(cls, width, letters=string.ascii_lowercase):
         ['a', 'b']
         >>> list(TestComplexity.make_names(30))
         ['aa', 'ab', ..., 'bd']
+        >>> list(TestComplexity.make_names(17124))
+        ['aaa', 'aab', ..., 'zip']
         """
         # determine how many products are needed to produce width
         n_products = max(1, math.ceil(math.log(width, len(letters))))