Improved Bounds on Brun’s Constant
Autor: | Tim Trudgian, David J. Platt |
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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 |
Externí odkaz: |