- 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
- Files:
-
-
(pdf, 192.4KB)
-
- Publisher copy:
- 10.4007/annals.2016.183.3.3
-
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- 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
- Keywords:
- Copyright holder:
- Department of Mathematics, Princeton University
- Copyright date:
- 2016
- Notes:
- Copyright © 2016 Department of Mathematics, Princeton University. This is the accepted manuscript version of the article. The final version is available online from Princeton University, Department of Mathematics at: http://dx.doi.org/10.4007/annals.2016.183.3.3
Journal article
Large gaps between primes
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