@inbook{e6c3acbe8271493a91d64bf49722a3c4, title = "Improved bounds on Brun's constant", 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.", keywords = "Applied Analysis, Math Education, Experimental Mathematics, Financial Mathematics, Number Theory, Commemorative Jonathan Borwein", author = "Platt, {David J} and Timothy Trudgian", year = "2020", month = "3", day = "26", doi = "10.1007/978-3-030-36568-4", language = "English", isbn = "978-3-030-36567-7", volume = "313", series = "Springer Proceedings in Mathematics and Statistics", publisher = "Springer-Verlag Berlin", pages = "395--406", editor = "Bailey, {David H} and Borwein, {Naomi Simone } and Brent, {Richard P} and Burachik, {Regina S} and Osborn, {Judy-anne Heather } and Sims, {Brailey } and Zhu, {Qiji J}", booktitle = "From Analysis to Visualization", }