Prime numbers are very mysterious objects and they have always fascinated people. Many basic questions about prime numbers are still open, for instance:
The goal is to test some conjectures on prime numbers on a computer. Possible conjectures to test are next to the many famous conjectures (including those mentioned above) also those by the Chinese mathematician Zhi-Wei Sun who is currently making an enormous number of new ones (see for instance this article).
This subject is related to the project on the distribution of primes.
Participants: Joel Costa da Rocha, Alex Ferreira Costa.
Supervisors: Gabor Wiese, Panagiotis Tsaknias.
Difficulty level: Experimental Mathematics 1.
Tools: Computer Algebra system like SAGE.
Results: Project report