Are there any open sourced or crowd source math research projects? I’m looking for open source math research projects as I know computer science students can easily have access to material they can contribute to but this is not the case with math as far as I’m aware. But I am looking for a possible answer with open source or crowd sourced math research projects that someone in their last year of getting a bachelors or during a Masters could contribute to. Given they have the ability that is.
 A: Polymath is one example of crowd-sourcing mathematics. It may or may not be suitable, depending on your energy, talent, and expertise.
https://asone.ai/polymath/index.php?title=Main_Page
A: There are two examples (that I know of) of open source mathematics projects. The first is the polymath project. Sadly progress seems to have dissipated recently, but perhaps with a few more people joining it can start up again.
The second open source project is currently going at full steam, with many new people coming in and plenty of places to contribute. The Busy Beaver Challenge, attempting to find the value of BB(5). There are many ways to help, from programming deciders to finding new behaviors to proofs of validity.  It is a perfect place for a Bachelors or Masters student to contribute.
A: I'm surprised nobody's yet mentioned the various (interrelated) projects for formalising mathematical proofs on a computer, in the Lean theorem-proving software:

*

*mathlib, a general library which seems to be aiming ultimately to cover all of pure mathematics up to (at least) bachelor's degree level;

*more specialised projects (building on mathlib) such as the Liquid Tensor Experiment (verifying an important proof from Clausen and Scholze's work on condensed mathematics), sphere-eversion, Fermat's last theorem for regular primes, etc.

Those are all open-source projects hosted on GitHub.
I'd personally claim that these projects constitute "research", although maybe not all mathematicians would agree with that; and they certainly offer lots of opportunities to contribute for anyone with maths training up to bachelor's degree level (while also offering the opportunity to engage with much more advanced material if you want to).
A: There's PrimeGrid:
"PrimeGrid's primary goal is to advance mathematics by enabling everyday computer users to contribute their system's processing power towards prime finding. By simply downloading and installing BOINC and attaching to the PrimeGrid project, participants can choose from a variety of prime forms to search. With a little patience, you may find a large or even record breaking prime and enter into Chris Caldwell's The Largest Known Primes Database with a multi-million digit prime!"
And there's ZetaGrid:
"ZetaGrid is a platform independent grid system that uses idle CPU cycles from participating computers. Grid computing can be used for any CPU intensive application which can be split into many separate steps and which would require very long computation times on a single computer. ZetaGrid can be run as a low-priority background process on various platforms like Windows, Linux, AIX, Solaris, HP-UX, and Mac OSX. On Windows systems it may also be run in screen saver mode."
