Improved bounds on Brun's constant

Dave Platt, Tim Trudgian

Research output: Chapter in Book/Report/Conference proceedingChapter in a book

3 Citations (Scopus)
98 Downloads (Pure)


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 languageEnglish
Title of host publicationFrom Analysis to Visualization
Subtitle of host publicationA Celebration of the Life and Legacy of Jonathan M. Borwein, Callaghan, Australia, September 2017
EditorsDavid H Bailey, Naomi Simone Borwein, Richard P Brent, Regina S Burachik, Judy-anne Heather Osborn, Brailey Sims, Qiji J Zhu
PublisherSpringer-Verlag Berlin
Number of pages12
ISBN (Electronic)978-3-030-36568-4
ISBN (Print)978-3-030-36567-7
Publication statusPublished - 26 Mar 2020

Publication series

NameSpringer Proceedings in Mathematics and Statistics
ISSN (Print)2194-1009


  • Applied Analysis
  • Math Education
  • Experimental Mathematics
  • Financial Mathematics
  • Number Theory
  • Commemorative Jonathan Borwein


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