diff --git a/.gitlab-ci.yml b/.gitlab-ci.yml
index a4a51347d879a6174447a5ca41b4b3443e3b4868..3f4ca230641caf548b1bdad73a6b878151299ae3 100644
--- a/.gitlab-ci.yml
+++ b/.gitlab-ci.yml
@@ -1,17 +1,3 @@
-Python 2.6:
-  script:
-  - py_version=2.6
-  - export EXTRA_INSTALL="numpy"
-  - 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:
-  - python2.6
-  except:
-  - tags
-  artifacts:
-    reports:
-      junit: test/pytest.xml
-
 Python 2.7:
   script:
   - py_version=2.7
@@ -26,28 +12,15 @@ Python 2.7:
     reports:
       junit: test/pytest.xml
 
-Python 3.5:
-  script:
-  - py_version=3.5
-  - export EXTRA_INSTALL="numpy"
-  - 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:
-  - python3.5
-  except:
-  - tags
-  artifacts:
-    reports:
-      junit: test/pytest.xml
 
-Python 3.7:
+Python 3:
   script:
-  - py_version=3.7
+  - py_version=3
   - export EXTRA_INSTALL="numpy"
   - 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:
-  - python3.7
+  - python3
   except:
   - tags
   artifacts:
@@ -59,6 +32,6 @@ Flake8:
   - curl -L -O -k https://gitlab.tiker.net/inducer/ci-support/raw/master/prepare-and-run-flake8.sh
   - ". ./prepare-and-run-flake8.sh pytools test"
   tags:
-  - python3.5
+  - python3
   except:
   - tags