The slides for a group presentation on the top Patterns in Prime Numbers centering around a discussion of Bunyakovsky’s Conjecture, in which we touch on Dirichlet’s Theorem, Schinzel’s Conjecture, the Twin Prime Conjecture and more.
Last summer, I, Bruno Eaves, and Ioannis Pantelidakis gave a presentation on Patterns in Prime Numbers, focusing on a discussion around Bunyakovsky’s conjecture which captures many open questions related to prime numbers. This March, we were very grateful to have the opportunity to give this presentation at the IMA’s ‘Tomorrow’s Mathematicians Today 2024’ undergraduate conference. It was a wonderful event with many great talks so I would very much like to thank the IMA, the University of Greenwich, Tony Mann, and all others involved in organising the conference which you can read more about here. I would also like to congratulate Andi Hani and Mingjia Yan for winning the prize for best presentation and the popular vote prize respectively.
Below I have attached the slides for the updated version of the talk which was given at the conference. These changes made the content more approachable and corrected a few erros in the previous version, as such I have taken those slides down.