diff --git a/README.md b/README.md
index bc7d8c645..2d9fc7990 100644
--- a/README.md
+++ b/README.md
@@ -17,7 +17,7 @@ For usage, see [the documentation](https://getcomposer.org/doc/).
 Packages
 --------
 
-Find packages on [Packagist](https://packagist.org).
+Find public packages on [Packagist.org](https://packagist.org). For private package hosting take a look at [Private Packagist](https://packagist.com).
 
 Community
 ---------
@@ -34,7 +34,15 @@ By participating in this project and its community you agree to abide by those t
 Requirements
 ------------
 
-PHP 5.3.2 or above (at least 5.3.4 recommended to avoid potential bugs)
+#### Latest Composer
+
+PHP 7.2.5 or above for the latest version.
+
+#### Composer 2.2 LTS (Long Term Support)
+
+PHP versions 5.3.2 - 8.1 are still supported via the LTS releases of Composer (2.2.x). If you
+run the installer or the `self-update` command the appropriate Composer version for your PHP
+should be automatically selected.
 
 Authors
 -------
diff --git a/doc/00-intro.md b/doc/00-intro.md
index ec088011f..96df2e21f 100644
--- a/doc/00-intro.md
+++ b/doc/00-intro.md
@@ -33,9 +33,11 @@ dependencies.
 
 ## System Requirements
 
-Composer requires PHP 5.3.2+ to run. A few sensitive php settings and compile
-flags are also required, but when using the installer you will be warned about
-any incompatibilities.
+Composer in its latest version requires PHP 7.2.5 to run. A long-term-support
+version (2.2.x) still offers support for PHP 5.3.2+ in case you are stuck with
+a legacy PHP version. A few sensitive php settings and compile flags are also
+required, but when using the installer you will be warned about any
+incompatibilities.
 
 To install packages from sources instead of plain zip archives, you will need
 git, svn, fossil or hg depending on how the package is version-controlled.