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Improved bounds on Brun's constant

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Original languageEnglish
Title of host publicationProceedings of the Jonathan Borwein Commemorative Conference
Publisher or commissioning bodySpringer-Verlag Berlin
DateAccepted/In press - 4 Jul 2018

Publication series

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

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.

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