Improved Bounds on Brun’s Constant

Autor: Tim Trudgian, David J. Platt
Rok vydání: 2020
Předmět:
Zdroj: Springer Proceedings in Mathematics & Statistics ISBN: 9783030365677
DOI: 10.1007/978-3-030-36568-4_25
Popis: Brun’s constant is \(B=\sum _{p \in P_{2}} p^{-1} + (p+2)^{-1}\), 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.
Databáze: OpenAIRE