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Seminar Details

Large Gaps Between Primes

  • Start Date: February 11, 2026
  • Event Start Time: 12:15 PM
  • Event End Time: 1:15 PM
  • Seminar Series: Graduate Combinatorics Seminar
  • Presenter(s): Jakub Niksinski - Rutgers University
  • Event Location: Mathematics Graduate Student Lounge -- 7th Floor | Rutgers University | Hill Center | Mathematics Department
  • Presentation Type: Stand Alone Presentation
  • Abstract:

    How large can the gap between consecutive primes be relative to their magnitude? We will discuss some heuristics and prove a result of Westzynthius, who showed that prime gaps can be much larger than the average gap. If time permits, I will sketch improvements to these ideas due to Ford, Green, Konyagin, Maynard, and Tao which allowed them to grab $10,000 from Erdős's pocket.