Cracking the problem with 33

Andrew R. Booker

doi:10.1007/s40993-019-0162-1

Cracking the problem with 33

Andrew R. Booker^*

^*Corresponding author for this work

Research output: Contribution to journal › Article (Academic Journal) › peer-review

11 Citations (Scopus)

583 Downloads (Pure)

Abstract

Inspired by the Numberphile video “The uncracked problem with 33” by Browning and Brady Haran (https://youtu.be/wymmCdLdPvM), we investigate solutions to x³+ y³+ z³= k for a few small values of k. We find the first known solutions for k= 33 and k= 795.

Original language	English
Article number	26
Number of pages	6
Journal	Research in Number Theory
Volume	5
Issue number	3
Early online date	19 Jul 2019
DOIs	https://doi.org/10.1007/s40993-019-0162-1
Publication status	Published - 1 Sept 2019

Keywords

Diophantine equations
Hasse principle
Sums of three cubes

Access to Document

10.1007/s40993-019-0162-1

Full-text PDF (final published version)
This is the final published version of the article (version of record). It first appeared online via Springer Link at https://doi.org/10.1007/s40993-019-0162-1 . Please refer to any applicable terms of use of the publisher.
Final published version, 306 KBLicence: CC BY

Handle.net

Persistent link

Cite this

@article{b29fce732c204c079dafafc04bf269b1,

title = "Cracking the problem with 33",

abstract = "Inspired by the Numberphile video “The uncracked problem with 33” by Browning and Brady Haran (https://youtu.be/wymmCdLdPvM), we investigate solutions to x3+ y3+ z3= k for a few small values of k. We find the first known solutions for k= 33 and k= 795.",

keywords = "Diophantine equations, Hasse principle, Sums of three cubes",

author = "Booker, {Andrew R.}",

year = "2019",

month = sep,

day = "1",

doi = "10.1007/s40993-019-0162-1",

language = "English",

volume = "5",

journal = "Research in Number Theory",

issn = "2363-9555",

publisher = "SpringerOpen",

number = "3",

}

TY - JOUR

T1 - Cracking the problem with 33

AU - Booker, Andrew R.

PY - 2019/9/1

Y1 - 2019/9/1

N2 - Inspired by the Numberphile video “The uncracked problem with 33” by Browning and Brady Haran (https://youtu.be/wymmCdLdPvM), we investigate solutions to x3+ y3+ z3= k for a few small values of k. We find the first known solutions for k= 33 and k= 795.

AB - Inspired by the Numberphile video “The uncracked problem with 33” by Browning and Brady Haran (https://youtu.be/wymmCdLdPvM), we investigate solutions to x3+ y3+ z3= k for a few small values of k. We find the first known solutions for k= 33 and k= 795.

KW - Diophantine equations

KW - Hasse principle

KW - Sums of three cubes

UR - http://www.scopus.com/inward/record.url?scp=85069537718&partnerID=8YFLogxK

U2 - 10.1007/s40993-019-0162-1

DO - 10.1007/s40993-019-0162-1

M3 - Article (Academic Journal)

AN - SCOPUS:85069537718

SN - 2363-9555

VL - 5

JO - Research in Number Theory

JF - Research in Number Theory

IS - 3

M1 - 26

ER -

Cracking the problem with 33

Abstract

Keywords

Access to Document

Handle.net

Other files and links

Embargoed Document

Fingerprint

Cite this