@inbook{e6c3acbe8271493a91d64bf49722a3c4,

title = "Improved bounds on Brun's constant",

abstract = "Brun{\textquoteright}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{\textquoteright}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 = "Dave Platt and Timothy Trudgian",

year = "2020",

month = mar,

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",

}