diff --git a/.github/workflows/test.yml b/.github/workflows/test.yml
index 45d84ac..fcf66f4 100644
--- a/.github/workflows/test.yml
+++ b/.github/workflows/test.yml
@@ -9,7 +9,7 @@ jobs:
       max-parallel: 4
       matrix:
         operating-system: [ubuntu-latest, macos-latest, windows-latest]
-        python-version: [3.5, 3.6, 3.7, 3.8]
+        python-version: ['3.7', '3.8', '3.9', '3.10']
     steps:
     - uses: actions/checkout@v1
     - uses: actions/setup-python@v2
diff --git a/README.md b/README.md
index 399afba..2783558 100644
--- a/README.md
+++ b/README.md
@@ -17,10 +17,10 @@ version strings everywhere.
 
 This is the same problem that Versioneer solves, but Miniver is less
 than 200 lines of code, whereas Versioneer is over 2000. The tradeoff
-is that Miniver only works with Git and Python 3.5 (or above).
+is that Miniver only works with Git and Python 3.7 (or above).
 
-Support for Python 2 is not a goal, as Python 2 is fast approaching its
-end of life (2020), and we want to encourage people to use Python 3!
+Support for Python 2 is not a goal, as Python 2 has reached its
+end of life, and we want to encourage people to use Python 3!
 That being said, Christian Marquardt has a [fork that also
 works with Python 2](https://github.com/cmarquardt/miniver2)
 
diff --git a/setup.py b/setup.py
index 4f6eacc..a7fe5a5 100644
--- a/setup.py
+++ b/setup.py
@@ -40,10 +40,10 @@ def get_version_and_cmdclass(pkg_path):
         "Topic :: Software Development :: Version Control :: Git",
         "Intended Audience :: Developers",
         "Programming Language :: Python :: 3 :: Only",
-        "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",
         "Operating System :: POSIX :: Linux",
         "Operating System :: MacOS :: MacOS X",
         "Operating System :: Microsoft :: Windows",