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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
Version:
Accepted Manuscript

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Publisher copy:
10.4007/annals.2016.183.3.3

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Department:
Oxford, MPLS, 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
DOI:
EISSN:
1939-898
ISSN:
0003-486X
Pubs id:
pubs:652794
URN:
uri:1d88f0ae-5c33-4b27-887e-a80c07ee11f7
UUID:
uuid:1d88f0ae-5c33-4b27-887e-a80c07ee11f7
Local pid:
pubs:652794
Paper number:
3

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