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arXiv · 1803.01925

Improved bounds on Brun's constant

Dave Platt·Tim Trudgian
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Abstract

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 $1.840503 < B < 2.288513$, which is about a 13\% improvement on the previous best published result.

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Dave Platt, Tim Trudgian. 2018-03-05. Improved bounds on Brun's constant. https://arxiv.org/abs/1803.01925

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