diff --git a/README.md b/README.md
index af15731284265d0d953e2accb5b1e1758672c372..a28f311c6d151363251b142ad0301b5c5b563022 100644
--- a/README.md
+++ b/README.md
@@ -34,6 +34,10 @@ Using the Docker Image
 
 The prebuilt docker images are available from the docker hub at `mathinstitut/goemaxima:[version]-latest`.
 
+To use it, you first have to know what stackmaxima version you need.
+Note that this is different from the moodle stack version, ilias stack version and maxima version.
+The needed stackmaxima version can be seen in the ["What Stackmaxima version do I need?"](#what-stackmaxima-version-do-i-need) section.
+
 They can be simply run with docker-compose in the top-directory of the repository (setting the `STACKMAXIMA_VERSION` to the desired value):
 ```
 export STACKMAXIMA_VERSION=...
@@ -45,7 +49,7 @@ The port of the server inside the container is `8080` and the path that has to b
 Some older versions of the image accept only `http://[address:port]/maxima` and this url should work in newer versions as well.
 
 Stack expects a maxima version to be set in the settings.
-You can find out which maxima version to use for a particular `STACKMAXIMA_VERSION` by taking a look at the second column of the `versions` file at the root of this repository.
+You can find out which maxima version to use for a particular `STACKMAXIMA_VERSION` by taking a look at the last column in the ["What Stackmaxima version do I need?"](#what-stackmaxima-version-do-i-need) section
 
 If you do not wish to use the docker-compose configuration, you can also run the image with
 ```
@@ -61,6 +65,28 @@ The process startup time for a single request is a few milliseconds and negligib
 
 For advanced users, one can also deploy the image in kubernetes by using the helm chart provided in the `helmmaxima` directory.
 
+What Stackmaxima version do I need?
+===================================
+
+| Ilias Stack Version | Moodle Stack Version | Stackmaxima version | Included Maxima version |
+| ------------------- | -------------------- | ------------------- | ----------------------- |
+| `5.3`, `5.4`        | -                    | 2017121800          | 5.41.0                  |
+| -                   | `4.2.1`              | 2018080600          | 5.41.0                  |
+| `6`, `7`            | `4.2.2a`             | 2019090200          | 5.41.0                  |
+| -                   | `4.3.1`              | 2020042000          | 5.41.0                  |
+| -                   | `4.3.2`              | 2020052700          | 5.41.0                  |
+| -                   | `4.3.3`              | 2020061000          | 5.41.0                  |
+| -                   | `4.3.4`              | 2020070100          | 5.41.0                  |
+| -                   | `4.3.6`              | 2020100900          | 5.41.0                  |
+| -                   | `4.3.7`              | 2020101501          | 5.41.0                  |
+| -                   | `4.3.8`              | 2020120600          | 5.41.0                  |
+| `7-DEV`             | `4.3.10`             | 2021120900          | 5.44.0                  |
+| -                   | `4.3.11`             | 2022060100          | 5.44.0                  |
+| -                   | `4.4.0`              | 2022071300          | 5.44.0                  |
+| -                   | `4.4.1`              | 2022082900          | 5.44.0                  |
+| -                   | `4.4.2`              | 2023010400          | 5.44.0                  |
+
+
 Environment Variables
 =====================
 A few internal options can be set from environment variables.