diff --git a/README.rst b/README.rst
index 23e9931..299ffa5 100644
--- a/README.rst
+++ b/README.rst
@@ -23,7 +23,7 @@ implemented.
 Dependencies
 ============
 
-pyfive is tested to work under 3.5, 3.6, 3.7 and 3.8.  It may also work
+pyfive is tested to work with Python 3.8 to 3.13.  It may also work
 with other Python versions.
 
 The only dependencies to run the software besides Python is NumPy.
diff --git a/setup.py b/setup.py
index 30701a8..e78441c 100644
--- a/setup.py
+++ b/setup.py
@@ -28,10 +28,12 @@
         'License :: OSI Approved :: BSD License',
         'Operating System :: OS Independent',
         'Programming Language :: Python :: 3',
-        'Programming Language :: Python :: 3.5',
-        'Programming Language :: Python :: 3.6',
-        'Programming Language :: Python :: 3.7',
         'Programming Language :: Python :: 3.8',
+        'Programming Language :: Python :: 3.9',
+        'Programming Language :: Python :: 3.10',
+        'Programming Language :: Python :: 3.11',
+        'Programming Language :: Python :: 3.12',
+        'Programming Language :: Python :: 3.13',
         'Topic :: Scientific/Engineering',
     ],
     packages=['pyfive'],