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 

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, Judyanne Heather Osborn, Brailey Sims, Qiji J Zhu 
Publisher  SpringerVerlag Berlin 
Pages  395406 
Number of pages  12 
Volume  313 
ISBN (Electronic)  9783030365684 
ISBN (Print)  9783030365677 
DOIs  
Publication status  Published  26 Mar 2020 
Publication series
Name  Springer Proceedings in Mathematics and Statistics 

Volume  313 
ISSN (Print)  21941009 
Keywords
 Applied Analysis
 Math Education
 Experimental Mathematics
 Financial Mathematics
 Number Theory
 Commemorative Jonathan Borwein
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