Abstract
Brun’s constant is B = Pp∈P2p−1 + (p + 2)−1, where the summation is over all twin primes. We improve the unconditional bounds on Brun’s constant to 1.840503 < B < 2.288490, which are about 13% tighter.
Original language | English |
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Title of host publication | From Analysis to Visualization |
Subtitle of host publication | A Celebration of the Life and Legacy of Jonathan M. Borwein, Callaghan, Australia, September 2017 |
Editors | David H Bailey, Naomi Simone Borwein, Richard P Brent, Regina S Burachik, Judy-anne Heather Osborn, Brailey Sims, Qiji J Zhu |
Publisher | Springer-Verlag Berlin |
Pages | 395-406 |
Number of pages | 12 |
Volume | 313 |
ISBN (Electronic) | 978-3-030-36568-4 |
ISBN (Print) | 978-3-030-36567-7 |
DOIs | |
Publication status | Published - 26 Mar 2020 |
Publication series
Name | Springer Proceedings in Mathematics and Statistics |
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Volume | 313 |
ISSN (Print) | 2194-1009 |
Keywords
- Applied Analysis
- Math Education
- Experimental Mathematics
- Financial Mathematics
- Number Theory
- Commemorative Jonathan Borwein
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Alam, S. R. (Manager), Williams, D. A. G. (Manager), Eccleston, P. E. (Manager) & Greene, D. (Manager)
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