Journal article icon

Journal article

Large gaps between primes

Abstract:
We show that there exist pairs of consecutive primes less than x whose difference is larger than t(1+o(1))(logx)(loglogx)(loglogloglogx)(logloglogx)−2 for any fixed t. This answers a well-known question of Erdős.
Publication status:
Published
Peer review status:
Peer reviewed

Actions


Access Document


Files:
Publisher copy:
10.4007/annals.2016.183.3.3

Authors


More by this author
Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author
Publisher:
Princeton University, Department of Mathematics Publisher's website
Journal:
Annals of Mathematics Journal website
Volume:
183
Issue:
3
Pages:
915-933
Publication date:
2016-05-01
Acceptance date:
2015-10-23
DOI:
EISSN:
1939-898
ISSN:
0003-486X
Source identifiers:
652794
Keywords:
Pubs id:
pubs:652794
UUID:
uuid:1d88f0ae-5c33-4b27-887e-a80c07ee11f7
Local pid:
pubs:652794
Deposit date:
2016-10-17

Terms of use


Views and Downloads






If you are the owner of this record, you can report an update to it here: Report update to this record

TO TOP