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Improved bounds on Brun's constant

Research output: Chapter in Book/Report/Conference proceedingChapter in a book

Standard

Improved bounds on Brun's constant. / Platt, David J; Trudgian, Timothy.

From Analysis to Visualization: A Celebration of the Life and Legacy of Jonathan M. Borwein, Callaghan, Australia, September 2017. ed. / David H Bailey; Naomi Simone Borwein; Richard P Brent; Regina S Burachik; Judy-anne Heather Osborn; Brailey Sims; Qiji J Zhu. Vol. 313 Springer-Verlag Berlin, 2020. p. 395-406 (Springer Proceedings in Mathematics and Statistics; Vol. 313).

Research output: Chapter in Book/Report/Conference proceedingChapter in a book

Harvard

Platt, DJ & Trudgian, T 2020, Improved bounds on Brun's constant. in DH Bailey, NS Borwein, RP Brent, RS Burachik, JH Osborn, B Sims & QJ Zhu (eds), From Analysis to Visualization: A Celebration of the Life and Legacy of Jonathan M. Borwein, Callaghan, Australia, September 2017. vol. 313, Springer Proceedings in Mathematics and Statistics, vol. 313, Springer-Verlag Berlin, pp. 395-406. https://doi.org/10.1007/978-3-030-36568-4

APA

Platt, D. J., & Trudgian, T. (2020). Improved bounds on Brun's constant. In D. H. Bailey, N. S. Borwein, R. P. Brent, R. S. Burachik, J. H. Osborn, B. Sims, & Q. J. Zhu (Eds.), From Analysis to Visualization: A Celebration of the Life and Legacy of Jonathan M. Borwein, Callaghan, Australia, September 2017 (Vol. 313, pp. 395-406). (Springer Proceedings in Mathematics and Statistics; Vol. 313). Springer-Verlag Berlin. https://doi.org/10.1007/978-3-030-36568-4

Vancouver

Platt DJ, Trudgian T. Improved bounds on Brun's constant. In Bailey DH, Borwein NS, Brent RP, Burachik RS, Osborn JH, Sims B, Zhu QJ, editors, From Analysis to Visualization: A Celebration of the Life and Legacy of Jonathan M. Borwein, Callaghan, Australia, September 2017. Vol. 313. Springer-Verlag Berlin. 2020. p. 395-406. (Springer Proceedings in Mathematics and Statistics). https://doi.org/10.1007/978-3-030-36568-4

Author

Platt, David J ; Trudgian, Timothy. / Improved bounds on Brun's constant. From Analysis to Visualization: A Celebration of the Life and Legacy of Jonathan M. Borwein, Callaghan, Australia, September 2017. editor / David H Bailey ; Naomi Simone Borwein ; Richard P Brent ; Regina S Burachik ; Judy-anne Heather Osborn ; Brailey Sims ; Qiji J Zhu. Vol. 313 Springer-Verlag Berlin, 2020. pp. 395-406 (Springer Proceedings in Mathematics and Statistics).

Bibtex

@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",

}

RIS - suitable for import to EndNote

TY - CHAP

T1 - Improved bounds on Brun's constant

AU - Platt, David J

AU - Trudgian, Timothy

PY - 2020/3/26

Y1 - 2020/3/26

N2 - 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.

AB - 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.

KW - Applied Analysis

KW - Math Education

KW - Experimental Mathematics

KW - Financial Mathematics

KW - Number Theory

KW - Commemorative Jonathan Borwein

U2 - 10.1007/978-3-030-36568-4

DO - 10.1007/978-3-030-36568-4

M3 - Chapter in a book

SN - 978-3-030-36567-7

VL - 313

T3 - Springer Proceedings in Mathematics and Statistics

SP - 395

EP - 406

BT - From Analysis to Visualization

A2 - Bailey, David H

A2 - Borwein, Naomi Simone

A2 - Brent, Richard P

A2 - Burachik, Regina S

A2 - Osborn, Judy-anne Heather

A2 - Sims, Brailey

A2 - Zhu, Qiji J

PB - Springer-Verlag Berlin

ER -