Official downloads for are no longer actively maintained as this version, released in 2005, is considered legacy software. While some third-party sites may claim to offer "free downloads," these are often unsupported and may present security risks.
Released nearly two decades ago, Version 5.2 was a milestone for introducing 64-bit support. However, trying to run it on modern hardware today presents several challenges: Mathematica 5.2 For Students Free [portable] Download Mathematica 5.2 For Students Free Download
You can use the Wolfram Cloud for free. This provides a web-based notebook interface where you can write and execute code with some limitations on computation time and storage. Official downloads for are no longer actively maintained
The core Wolfram Engine is free for non-production use. While it lacks the standard "Notebook" interface, you can pair it with free editors like Jupyter or Visual Studio Code to get a similar experience. However, trying to run it on modern hardware