Bounded gaps between primes

GPTKB entity

Statements (31)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:describes The study of whether there are infinitely many pairs of consecutive primes with a bounded difference.
gptkbp:field number theory
gptkbp:firstMajorBreakthrough gptkb:Yitang_Zhang
https://www.w3.org/2000/01/rdf-schema#label Bounded gaps between primes
gptkbp:impact Major advance in analytic number theory
gptkbp:notableAchievement gptkb:Polymath_Project
Yitang Zhang's theorem
gptkbp:notablePerson gptkb:Terence_Tao
gptkb:Ben_Green
gptkb:Andrew_Granville
gptkb:James_Maynard
gptkb:Yitang_Zhang
gptkb:János_Pintz
Cem Yıldırım
Daniel Goldston
Kaisa Matomäki
gptkbp:notableProject gptkb:Polymath8
gptkbp:notablePublication Yitang Zhang, 'Bounded gaps between primes', Annals of Mathematics, 2014
James Maynard, 'Small gaps between primes', Annals of Mathematics, 2015
gptkbp:openProblem Existence of infinitely many prime pairs with gap 2 (twin primes)
gptkbp:PolymathProjectBound 246
gptkbp:relatedTo gptkb:twin_prime_conjecture
gptkb:Elliott–Halberstam_conjecture
prime numbers
Generalized Elliott–Halberstam conjecture
gptkbp:status Active area of research
gptkbp:yearOfBreakthrough 2013
gptkbp:Zhang'sBound 70,000,000
gptkbp:bfsParent gptkb:Yitang_Zhang's_2013_paper
gptkbp:bfsLayer 7