Prime numbers and automatic sequences: determinism and randomness / Nombres premiers et suites automatiques : aléa et déterminisme

Collection Prime numbers and automatic sequences: determinism and randomness / Nombres premiers et suites automatiques : aléa et déterminisme

Organizer(s) Dartyge, Cécile ; Drmota, Michael ; Martin, Bruno ; Mauduit, Christian ; Rivat, Joël ; Stoll, Thomas
Date(s) 5/22/17 - 5/26/17
linked URL http://conferences.cirm-math.fr/1595.html
00:00:00 / 00:00:00
3 5

Large gaps between primes in subsets

By James Maynard

Also appears in collection : Fields medallists - 2022

All previous methods of showing the existence of large gaps between primes have relied on the fact that smooth numbers are unusually sparse. This feature of the argument does not seem to generalise to showing large gaps between primes in subsets, such as values of a polynomial. We will talk about recent work which allows us to show large gaps between primes without relying on smooth number estimates. This then generalizes naturally to show long strings of consecutive composite values of a polynomial. This is joint work with Ford, Konyagin, Pomerance and Tao.

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Citation data

  • DOI 10.24350/CIRM.V.19170903
  • Cite this video Maynard James (5/23/17). Large gaps between primes in subsets. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19170903
  • URL https://dx.doi.org/10.24350/CIRM.V.19170903

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