diff --git a/doc/filters/html_to_markdown.rst b/doc/filters/html_to_markdown.rst
index 66706e92d..cb4f631a4 100644
--- a/doc/filters/html_to_markdown.rst
+++ b/doc/filters/html_to_markdown.rst
@@ -61,9 +61,9 @@ You can also use the filter on an entire template which you ``include``:
 ``html_to_markdown`` is just a frontend; the actual conversion is done by one of
 the following compatible libraries, from which you can choose:
 
-* `erusev/parsedown`_
 * `league/html-to-markdown`_
 * `michelf/php-markdown`_
+* `erusev/parsedown`_
 
 Depending on the library, you can also add some options by passing them as an argument
 to the filter. Example for ``league/html-to-markdown``:
@@ -76,6 +76,6 @@ to the filter. Example for ``league/html-to-markdown``:
         </html>
     {% endapply %}
     
-.. _erusev/parsedown: https://github.com/erusev/parsedown
 .. _league/html-to-markdown: https://github.com/thephpleague/html-to-markdown
 .. _michelf/php-markdown: https://github.com/michelf/php-markdown
+.. _erusev/parsedown: https://github.com/erusev/parsedown
diff --git a/extra/markdown-extra/DefaultMarkdown.php b/extra/markdown-extra/DefaultMarkdown.php
index 24aad2e34..9059f6c7f 100644
--- a/extra/markdown-extra/DefaultMarkdown.php
+++ b/extra/markdown-extra/DefaultMarkdown.php
@@ -21,14 +21,14 @@ class DefaultMarkdown implements MarkdownInterface
 
     public function __construct()
     {
-        if (class_exists(Parsedown::class)) {
-            $this->converter = new ErusevMarkdown();
-        } elseif (class_exists(CommonMarkConverter::class)) {
+        if (class_exists(CommonMarkConverter::class)) {
             $this->converter = new LeagueMarkdown();
         } elseif (class_exists(MarkdownExtra::class)) {
             $this->converter = new MichelfMarkdown();
+        } elseif (class_exists(Parsedown::class)) {
+            $this->converter = new ErusevMarkdown();
         } else {
-            throw new \LogicException('You cannot use the "markdown_to_html" filter as no Markdown library is available; try running "composer require erusev/parsedown".');
+            throw new \LogicException('You cannot use the "markdown_to_html" filter as no Markdown library is available; try running "composer require league/html-to-markdown".');
         }
     }