MATH Club
Dr. Nathan Jones
UIC
The Twin Prime Conjecture
Abstract: The Twin Prime Conjecture predicts that there are infinitely many primes p for which p+2 is also prime (in this case, we call the pair (p,p+2) a pair of twin primes). Despite a lot of recent progress on this conjecture, it remains unsolved today. In this talk, I will explain a heuristic argument leading to a precise form of the conjecture predicting an asymptotic formula as x goes to infinity for the number of twin prime pairs (p,p+2) with p ≤ x. If time permits, I will also discuss the Hardy-Littlewood Prime k-tuples Conjecture, which may be viewed as a generalization of the Twin Prime Conjecture.
There will be free pizza (while supplies last).
Wednesday September 3, 2025 at 1:00 PM in 636 SEO