diff --git a/.appveyor.yml b/.appveyor.yml
index 47cc8d6..174c6f3 100644
--- a/.appveyor.yml
+++ b/.appveyor.yml
@@ -1,8 +1,8 @@
 # To activate, change the Appveyor settings to use `.appveyor.yml`.
 install:
-  - python -m pip install --upgrade setuptools tox virtualenv
+  - C:\Python38-x64\python.exe -m pip install --upgrade setuptools tox virtualenv
 
 build: off
 
 test_script:
-  - python -m tox -e py27,py36,py37,dogfood
+  - C:\Python38-x64\python.exe -m tox -e py36,py37,dogfood
diff --git a/.gitlab-ci.yml b/.gitlab-ci.yml
index 0ee5ccf..036190a 100644
--- a/.gitlab-ci.yml
+++ b/.gitlab-ci.yml
@@ -13,26 +13,11 @@ after_script:
 - pip install codecov
 - codecov --token=7d117e6b-aab6-4283-ab19-166dafc38cf5
 
-pypy2:
-  image: pypy:2.7-7.2.0
-  stage: test
-  script: tox -e pypy
-
 pypy3:
   image: pypy:3.6-7.2.0
   stage: test
   script: tox -e pypy3
 
-python2:
-  image: python:2.7
-  stage: test
-  script: tox -e py27
-
-python35:
-  image: python:3.5
-  stage: test
-  script: tox -e py35
-
 python36:
   image: python:3.6
   stage: test
diff --git a/.travis.yml b/.travis.yml
index 36d1a6a..5825520 100644
--- a/.travis.yml
+++ b/.travis.yml
@@ -11,18 +11,12 @@ notifications:
 
 matrix:
   include:
-    - python: 2.7
-      env: TOXENV=py27
-    - python: 3.5
-      env: TOXENV=py35
     - python: 3.6
       env: TOXENV=py36
     - python: 3.7
       env: TOXENV=py37
     - python: 3.8
       env: TOXENV=py38
-    - python: pypy
-      env: TOXENV=pypy
     - python: 3.7
       env: TOXENV=readme
     - python: 3.7
diff --git a/docs/source/internal/releases.rst b/docs/source/internal/releases.rst
index 0ed0ac9..03178a4 100644
--- a/docs/source/internal/releases.rst
+++ b/docs/source/internal/releases.rst
@@ -81,13 +81,11 @@ for users.
 
 Before releasing, the following tox test environments must pass:
 
-- Python 2.7 (a.k.a., ``tox -e py27``)
-
 - Python 3.6 (a.k.a., ``tox -e py36``)
 
 - Python 3.7 (a.k.a., ``tox -e py37``)
 
-- PyPy (a.k.a., ``tox -e pypy``)
+- PyPy 3 (a.k.a., ``tox -e pypy3``)
 
 - Linters (a.k.a., ``tox -e linters``)
 
diff --git a/docs/source/plugin-development/registering-plugins.rst b/docs/source/plugin-development/registering-plugins.rst
index 34b368a..d1718bf 100644
--- a/docs/source/plugin-development/registering-plugins.rst
+++ b/docs/source/plugin-development/registering-plugins.rst
@@ -56,7 +56,6 @@ like:
             "Intended Audience :: Developers",
             "License :: OSI Approved :: MIT License",
             "Programming Language :: Python",
-            "Programming Language :: Python :: 2",
             "Programming Language :: Python :: 3",
             "Topic :: Software Development :: Libraries :: Python Modules",
             "Topic :: Software Development :: Quality Assurance",
diff --git a/docs/source/requirements.txt b/docs/source/requirements.txt
index 3a7ffae..984ca54 100644
--- a/docs/source/requirements.txt
+++ b/docs/source/requirements.txt
@@ -1,5 +1,4 @@
 sphinx>=1.3.0,!=3.1.0
 sphinx_rtd_theme
 sphinx-prompt
-configparser
 flake8-polyfill
diff --git a/docs/source/user/error-codes.rst b/docs/source/user/error-codes.rst
index e74675f..9eab3f7 100644
--- a/docs/source/user/error-codes.rst
+++ b/docs/source/user/error-codes.rst
@@ -100,8 +100,6 @@ generates its own :term:`error code`\ s for ``pyflakes``:
 +------+---------------------------------------------------------------------+
 | F811 | redefinition of unused ``name`` from line ``N``                     |
 +------+---------------------------------------------------------------------+
-| F812 | list comprehension redefines ``name`` from line ``N``               |
-+------+---------------------------------------------------------------------+
 | F821 | undefined name ``name``                                             |
 +------+---------------------------------------------------------------------+
 | F822 | undefined name ``name`` in ``__all__``                              |
@@ -116,9 +114,6 @@ generates its own :term:`error code`\ s for ``pyflakes``:
 | F901 | ``raise NotImplemented`` should be ``raise NotImplementedError``    |
 +------+---------------------------------------------------------------------+
 
-Note that some of these entries behave differently on Python 2 and Python 3,
-for example F812 is specific to Python 2 only.
-
 We also report one extra error: ``E999``. We report ``E999`` when we fail to
 compile a file into an Abstract Syntax Tree for the plugins that require it.
 
diff --git a/docs/source/user/invocation.rst b/docs/source/user/invocation.rst
index 099b72a..4c141fd 100644
--- a/docs/source/user/invocation.rst
+++ b/docs/source/user/invocation.rst
@@ -14,25 +14,25 @@ like so:
 
 Where you simply allow the shell running in your terminal to locate |Flake8|.
 In some cases, though, you may have installed |Flake8| for multiple versions
-of Python (e.g., Python 2.7 and Python 3.5) and you need to call a specific
+of Python (e.g., Python 3.8 and Python 3.9) and you need to call a specific
 version. In that case, you will have much better results using:
 
 .. prompt:: bash
 
-    python2.7 -m flake8
+    python3.8 -m flake8
 
 Or
 
 .. prompt:: bash
 
-    python3.5 -m flake8
+    python3.9 -m flake8
 
 Since that will tell the correct version of Python to run |Flake8|.
 
 .. note::
 
-    Installing |Flake8| once will not install it on both Python 2.7 and
-    Python 3.5. It will only install it for the version of Python that
+    Installing |Flake8| once will not install it on both Python 3.8 and
+    Python 3.9. It will only install it for the version of Python that
     is running pip.
 
 It is also possible to specify command-line options directly to |Flake8|:
diff --git a/docs/source/user/using-plugins.rst b/docs/source/user/using-plugins.rst
index 3971578..eddb258 100644
--- a/docs/source/user/using-plugins.rst
+++ b/docs/source/user/using-plugins.rst
@@ -24,10 +24,8 @@ appropriate of:
     pip install <plugin-name>
     pip3 install <plugin-name>
     python -m pip install <plugin-name>
-    python2.7 -m pip install <plugin-name>
     python3 -m pip install <plugin-name>
-    python3.4 -m pip install <plugin-name>
-    python3.5 -m pip install <plugin-name>
+    python3.9 -m pip install <plugin-name>
 
 To install the plugin, where ``<plugin-name>`` is the package name on PyPI_.
 To verify installation use:
diff --git a/example-plugin/setup.py b/example-plugin/setup.py
index 2da68f6..80911a2 100644
--- a/example-plugin/setup.py
+++ b/example-plugin/setup.py
@@ -21,11 +21,9 @@ setuptools.setup(
         'Framework :: Flake8',
         'License :: OSI Approved :: MIT License',
         'Programming Language :: Python',
-        'Programming Language :: Python :: 2',
-        'Programming Language :: Python :: 2.7',
         'Programming Language :: Python :: 3',
-        'Programming Language :: Python :: 3.4',
-        'Programming Language :: Python :: 3.5',
+        'Programming Language :: Python :: 3.8',
+        'Programming Language :: Python :: 3.9',
         'Topic :: Software Development :: Libraries :: Python Modules',
         'Topic :: Software Development :: Quality Assurance',
     ],
diff --git a/pytest.ini b/pytest.ini
index 4a00d9a..a72e0e1 100644
--- a/pytest.ini
+++ b/pytest.ini
@@ -1,10 +1,4 @@
 [pytest]
 norecursedirs = .git .* *.egg* old docs dist build
 addopts = -rw
-filterwarnings =
-    error
-    # python3.4 raises this when importing setuptools
-    ignore:The value of convert_charrefs will become True in 3.5.*:DeprecationWarning
-    # python3 raises this when importing setuptools
-    ignore:the imp module is deprecated in favour of importlib.*:PendingDeprecationWarning
-    ignore:the imp module is deprecated in favour of importlib.*:DeprecationWarning
+filterwarnings = error
diff --git a/setup.cfg b/setup.cfg
index 9103522..5ad0bb6 100644
--- a/setup.cfg
+++ b/setup.cfg
@@ -20,10 +20,7 @@ classifiers =
     Intended Audience :: Developers
     License :: OSI Approved :: MIT License
     Programming Language :: Python
-    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
@@ -44,13 +41,9 @@ install_requires=
     pyflakes >= 2.3.0, < 2.4.0
     pycodestyle >= 2.7.0, < 2.8.0
     mccabe >= 0.6.0, < 0.7.0
-    enum34; python_version<"3.4"
-    typing; python_version<"3.5"
-    configparser; python_version<"3.2"
-    functools32; python_version<"3.2"
     importlib-metadata; python_version<"3.8"
 
-python_requires = >=2.7, !=3.0.*, !=3.1.*, !=3.2.*, !=3.3.*, !=3.4.*
+python_requires = >=3.6
 
 [options.packages.find]
 where = src
diff --git a/tox.ini b/tox.ini
index 85423ec..26a60d4 100644
--- a/tox.ini
+++ b/tox.ini
@@ -1,10 +1,9 @@
 [tox]
 minversion=2.3.1
-envlist = py27,py35,py36,py37,py38,flake8,linters,docs
+envlist = py36,py37,py38,flake8,linters,docs
 
 [testenv]
 deps =
-    mock>=2.0.0
     pytest!=3.0.5,!=5.2.3
     coverage
 commands =
@@ -14,14 +13,8 @@ commands =
     # ensure 100% coverage of tests
     coverage report --fail-under 100 --include tests/*
 
-[testenv:venv]
-deps =
-    .
-commands = {posargs}
-
 # Dogfood our current master version
 [testenv:dogfood]
-basepython = python3
 skip_install = true
 deps =
     wheel
@@ -33,7 +26,6 @@ commands =
 
 # Linters
 [testenv:flake8]
-basepython = python3
 skip_install = true
 deps =
     flake8
@@ -46,7 +38,6 @@ commands =
     flake8 src/flake8/ tests/ setup.py
 
 [testenv:pylint]
-basepython = python3
 skip_install = true
 deps =
     pyflakes
@@ -55,7 +46,6 @@ commands =
     pylint src/flake8
 
 [testenv:doc8]
-basepython = python3
 skip_install = true
 deps =
     sphinx
@@ -64,14 +54,12 @@ commands =
     doc8 docs/source/
 
 [testenv:pre-commit]
-basepython = python3
 skip_install = true
 deps = pre-commit
 commands =
     pre-commit run --all-files --show-diff-on-failure
 
 [testenv:bandit]
-basepython = python3
 skip_install = true
 deps =
     bandit
@@ -79,7 +67,6 @@ commands =
     bandit -r src/flake8/ -c .bandit.yml
 
 [testenv:linters]
-basepython = python3
 skip_install = true
 deps =
     {[testenv:flake8]deps}
@@ -96,7 +83,6 @@ commands =
 
 # Documentation
 [testenv:docs]
-basepython = python3
 deps =
     -rdocs/source/requirements.txt
 commands =
@@ -104,7 +90,6 @@ commands =
     sphinx-build -E -W -c docs/source/ -b man docs/source/ docs/build/man
 
 [testenv:serve-docs]
-basepython = python3
 skip_install = true
 changedir = docs/build/html
 deps =
@@ -112,7 +97,6 @@ commands =
     python -m http.server {posargs}
 
 [testenv:readme]
-basepython = python3
 deps =
     readme_renderer
 commands =
@@ -120,7 +104,6 @@ commands =
 
 # Release tooling
 [testenv:build]
-basepython = python3
 skip_install = true
 deps =
     wheel
@@ -129,7 +112,6 @@ commands =
     python setup.py -q sdist bdist_wheel
 
 [testenv:release]
-basepython = python3
 skip_install = true
 deps =
     {[testenv:build]deps}