diff --git a/etstool.py b/etstool.py
index 705a72f58..55f4fdd01 100644
--- a/etstool.py
+++ b/etstool.py
@@ -50,7 +50,7 @@
 
     python etstool.py test-all
 
-Currently supported runtime values are ``2.7`` and ``3.5``, and currently
+Currently supported runtime values include ``3.6``, and currently
 supported toolkits are ``null``, ``pyqt``, ``pyside`` and ``wx``.  Not all
 combinations of toolkits and runtimes will work, but the tasks will fail with
 a clear error if that is the case.
@@ -83,7 +83,6 @@
 import click
 
 supported_combinations = {
-    "3.5": {"pyqt", "pyqt5"},
     "3.6": {"pyqt", "pyqt5", "pyside2", "wx"},
 }
 
diff --git a/setup.py b/setup.py
index 03b32653d..45ddd68b5 100644
--- a/setup.py
+++ b/setup.py
@@ -317,7 +317,7 @@ def resolve_version():
               Operating System :: POSIX
               Operating System :: Unix
               Programming Language :: Python
-              Programming Language :: Python :: 3.5
+              Programming Language :: Python :: 3
               Programming Language :: Python :: 3.6
               Programming Language :: Python :: 3.7
               Programming Language :: Python :: 3.8
@@ -359,5 +359,6 @@ def resolve_version():
             ]
         },
         platforms=["Windows", "Linux", "Mac OS-X", "Unix", "Solaris"],
+        python_requires=">=3.6",
         zip_safe=False,
     )