diff --git a/README.md b/README.md
index c2ede09..fbf2566 100644
--- a/README.md
+++ b/README.md
@@ -26,9 +26,10 @@ or the docs/ subdirectory.
 
 ## License, Compatibility
 
-This library is released under the MIT license, see LICENSE for details.
+Magic-Wormhole is released under the MIT license, see the `LICENSE` file for details.
 
-This library is compatible with python2.7, 3.5, 3.6, and 3.7.
+This library is compatible with Python 3.5 and higher (tested against 3.5,
+3.6, 3.7, and 3.8). It also still works with Python 2.7.
 
 ## Packaging, Installation
 
diff --git a/setup.py b/setup.py
index 51b97c3..65c2c3f 100644
--- a/setup.py
+++ b/setup.py
@@ -8,6 +8,14 @@ trove_classifiers = [
     "Development Status :: 4 - Beta",
     "Environment :: Console",
     "License :: OSI Approved :: MIT License",
+    "Programming Language :: Python :: 2",
+    "Programming Language :: Python :: 2.7",
+    "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 :: Implementation :: CPython",
     "Topic :: Security :: Cryptography",
     "Topic :: System :: Networking",
     "Topic :: System :: Systems Administration",