diff --git a/.github/workflows/ci.yml b/.github/workflows/ci.yml
index 01e2cbfc5ee45291dbc4054c48ef98aec487e150..1e93235eb01aadc42a04c867974cc98ebf3ad143 100644
--- a/.github/workflows/ci.yml
+++ b/.github/workflows/ci.yml
@@ -24,19 +24,6 @@ jobs:
                 curl -L -O -k https://gitlab.tiker.net/inducer/ci-support/raw/master/prepare-and-run-flake8.sh
                 . ./prepare-and-run-flake8.sh "$(basename $GITHUB_REPOSITORY)" ./test
 
-    pytest2:
-        name: Pytest Conda Py2
-        runs-on: ubuntu-latest
-        steps:
-        -   uses: actions/checkout@v2
-        -   name: "Main Script"
-            run: |
-                sed 's/python=3/python=2.7/' .test-conda-env-py3.yml > .test-conda-env-py2.yml
-                cat .test-conda-env-py2.yml
-                CONDA_ENVIRONMENT=.test-conda-env-py2.yml
-                curl -L -O -k https://gitlab.tiker.net/inducer/ci-support/raw/master/build-and-test-py-project-within-miniconda.sh
-                . ./build-and-test-py-project-within-miniconda.sh
-
     pytest3:
         name: Pytest Conda Py3
         runs-on: ubuntu-latest
diff --git a/.gitlab-ci.yml b/.gitlab-ci.yml
index 34ebe33ae273291063fc884cb3bd4d157271a499..2d862e1bf995de026bfc2428ea1c77cf1ecc0a86 100644
--- a/.gitlab-ci.yml
+++ b/.gitlab-ci.yml
@@ -1,21 +1,3 @@
-Python 2.7 POCL:
-  script:
-  - export PY_EXE=python2.7
-  - export PYOPENCL_TEST=portable
-  - export EXTRA_INSTALL="pybind11 cython numpy mako mpi4py"
-  # cython is here because pytential (for now, for TS) depends on it
-  - curl -L -O -k https://gitlab.tiker.net/inducer/ci-support/raw/master/build-and-test-py-project.sh
-  - ". ./build-and-test-py-project.sh"
-  tags:
-  - python2.7
-  - pocl
-  - mpi
-  except:
-  - tags
-  artifacts:
-    reports:
-      junit: test/pytest.xml
-
 Python 3 Nvidia K40:
   script:
   - export PY_EXE=python3
diff --git a/setup.py b/setup.py
index 688e9f92c8dbf573b4b5702da2cd50b420ca08d1..bfbdfbce0e4f846bc60ff5c9f9b5876e4d2d8de6 100644
--- a/setup.py
+++ b/setup.py
@@ -27,10 +27,8 @@ def main():
               'Natural Language :: English',
               'Programming Language :: Python',
               'Programming Language :: Python :: 3',
-              'Programming Language :: Python :: 2.6',
-              'Programming Language :: Python :: 2.7',
-              'Programming Language :: Python :: 3.2',
-              'Programming Language :: Python :: 3.3',
+              'Programming Language :: Python :: 3.6',
+              'Programming Language :: Python :: 3.7',
               'Topic :: Scientific/Engineering',
               'Topic :: Scientific/Engineering :: Information Analysis',
               'Topic :: Scientific/Engineering :: Mathematics',