diff --git a/CHANGELOG.md b/CHANGELOG.md
index 580d703..b6d1604 100644
--- a/CHANGELOG.md
+++ b/CHANGELOG.md
@@ -2,6 +2,7 @@
 
 ## Unreleased
 
+- Rebuild the Python 3.4.10 archives with the correct version of Python (#1048).
 - Fix the security update version check message for apps using PyPy (#1040).
 - Remove `vendor/test-utils` (#1043).
 
diff --git a/builds/runtimes/python-3.4.10 b/builds/runtimes/python-3.4.10
index 4d74b89..ad41723 100755
--- a/builds/runtimes/python-3.4.10
+++ b/builds/runtimes/python-3.4.10
@@ -1,32 +1,4 @@
 #!/usr/bin/env bash
 # Build Path: /app/.heroku/python/
 
-OUT_PREFIX=$1
-BIN_DIR="$(cd "$(dirname "$0")"/../.. || exit; pwd)/bin"
-export BIN_DIR
-
-# shellcheck source=bin/utils
-source "$BIN_DIR/steps/sqlite3"
-
-sqlite3_version
-echo "Setting up SQLite3 Headers for $SQLITE3_VERSION"
-sqlite3_install "$OUT_PREFIX" "$SQLITE3_VERSION" 1
-
-echo "Building Python…"
-SOURCE_TARBALL='https://python.org/ftp/python/3.7.2/Python-3.7.2.tgz'
-curl -L $SOURCE_TARBALL | tar xz
-mv Python-3.7.2 src
-cd src
-
-./configure --prefix=$OUT_PREFIX --with-ensurepip=no
-make
-make install
-
-# Remove unneeded test directories, similar to the official Docker Python images:
-# https://github.com/docker-library/python
-find "${OUT_PREFIX}" \( -type d -a \( -name test -o -name tests \) \) -exec rm -rf '{}' +
-
-# Remove spare /
-LOCATION=${OUT_PREFIX%?}
-
-ln $LOCATION/bin/python3 $LOCATION/bin/python
+source $(dirname $0)/python3
diff --git a/test/run-versions b/test/run-versions
index 32cfe52..f8bb2cc 100755
--- a/test/run-versions
+++ b/test/run-versions
@@ -54,29 +54,14 @@ testPython3_4() {
   assertCaptured $LATEST_34
   assertNotCaptured "security update"
   assertCaptured "Installing pip 19.1.1, setuptools 43.0.0 and wheel 0.33.6"
-  # if cedar 14 and legacy binaries, fail. if cedar 14 and staging, succeed.
-  if [[ ! -n $USE_STAGING_BINARIES ]] && [[ $STACK == "cedar-14" ]]; then
-      assertCapturedError
-# if heroku 18 and legacy binaries, succeed. if heroku 18 and staging, fail.
-  elif [[ -n $USE_STAGING_BINARIES ]] && [[ $STACK == "heroku-18" ]]; then
-      assertCapturedError
-  else
-#   all else succeed
-    assertCapturedSuccess
-  fi
+  assertCapturedSuccess
 }
 
 testPython3_4_warn() {
   compile "python3_4_warn"
   assertCaptured "python-3.4.9"
   assertCaptured "security update!"
-# if heroku 18 and legacy binaries, succeed. if heroku 18 and staging, fail.
-  if [[ -n $USE_STAGING_BINARIES ]] && [[ $STACK == "heroku-18" ]]; then
-      assertCapturedError
-  else
-#   all else succeed
-    assertCapturedSuccess
-  fi
+  assertCapturedSuccess
 }
 
 testPython3_4_fail() {